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Andrijana Burazin | ||
Nancy Soontiens | ||
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Wentao Liu | | |
Minghua Lin | ||
Killian Miller |
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Rahul Rahul | ||
Ruibin Qin | ||
Dominique Brunet | ||
Yasunori Aoki | ||
Easwar Magesan | ||
Christopher Ferrie | ||
Dhanaraja Kasinathan | ||
Wai Man NG | ||
Matthew Johnston |
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Raluca Jessop | ||
Yufang Hao | ||
Mohamad Alwan | ||
Yanwei Wang | ||
Christopher Subich | ||
Timothy Rees | ||
Volodymyr Gerasik |
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Jun Liu |
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Kathleen Wilkie |
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Sean Speziale |
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Gibin George Powathil | ||
Matthew Calder |
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Gregory Mayer | ||
Cedric Beny | ||
Lijun Wang | ||
Kahrizsangi Ebrahimi | ||
Robert Martin |
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Shannon Kennedy | ||
Alexander Korobov | ||
Qing Wang | ||
Duncan Mowbray | ||
Donald Campbell |
Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations
Theses/dissertations from 2024 2024.
The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan
On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest
Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo
Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain
Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang
Statistical Analysis of Ribonucleotide Incorporation in Human Cells , Tejasvi Channagiri
Matrix Models of 2D Critical Phenomena , Nathan Hayford
Data-Driven Learning Algorithm Via Densely-Defined Multiplication Operators and Occupation Kernels. , John Kyei
Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani
Applied Analysis for Learning Architectures , Himanshu Singh
Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze
Recovering generators of principal ideals using subfield structure and applications to cryptography , William Youmans
Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation , Ahmed Ahmed
New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana
Advances and Applications of Optimal Polynomial Approximants , Raymond Centner
Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty
On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly
Methods in Discrete Mathematics to Study DNA Rearrangement Processes , Lina Fajardo Gómez
Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He
Adversarial and Data Poisoning Attacks against Deep Learning , Jing Lin
Exploring the Vulnerability of A Neural Tangent Generalization Attack (NTGA) - Generated Unlearnable CIFAR-10 Dataset , Gitte Ost
Statistical Methods for Reliability Test planning and Data Analysis , Oluwaseun Elizabeth Otunuga
Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias
Effective Statistical and Machine Learning Methods to Analyze Children's Vocabulary Learning , Houston T. Sanders
Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi
A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman
Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri
Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi
Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou
Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando
Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu
Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang
Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang
Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi
Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun
Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu
On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman
Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek
Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen
Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan
Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop
On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink
Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang
Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala
Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian
Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar
Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil
Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter
Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz
Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi
Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi
Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos
The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva
Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak
Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich
An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado
Power Graphs of Quasigroups , DayVon L. Walker
Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed
Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai
A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah
Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa
Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields
Generalizations of Quandles and their cohomologies , Matthew J. Green
Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu
Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou
Human Activity Recognition Based on Transfer Learning , Jinyong Pang
Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham
Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel
Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova
Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang
Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack
Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon
On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill
Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill
Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly
Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera
Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao
Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati
Dynamics of Multicultural Social Networks , Kristina B. Hilton
Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi
Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally
Patterns in Words Related to DNA Rearrangements , Lukas Nabergall
Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na
Schreier Graphs of Thompson's Group T , Allen Pennington
Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya
Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo
Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi
Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou
A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea
Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery
Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman
On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr
Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim
Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano
Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure
Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru
Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park
Leonard Systems and their Friends , Jonathan Spiewak
Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun
Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu
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This is the first in a two-course sequence (EN.625.803 and EN.625.804) designed for students in the master’s program who wish to work with a faculty advisor to conduct significant, original independent research in the field of applied and computational mathematics. (Each course is one semester.) A sequence may be used to fulfill two courses within the 700-level course requirements for the master’s degree; only one sequence may count toward the degree. For sequence 625.803 and 625.804, the student is to produce a bound hard-copy thesis for submission to the JHU library and an electronic version of the thesis based on standards posted at https://www.library.jhu.edu/library-services/electronic-theses-dissertations/. (The student is also encouraged to write a technical paper for publication based on the thesis.) The intent of the research is to expand the body of knowledge in the broad area of applied mathematics, with the research leading to professional-quality documentation. A full description of the guidelines (which includes the list of approved ACM research faculty) and the approval form can be found at https://ep.jhu.edu/current-students/student-forms/.
Completion of at least six courses towards the Master of Science, including EN.625.601 Real Analysis and/or EN.625.609 Matrix Theory, EN.625.603 Statistical Methods and Data Analysis, and at least one of the following three two-semester sequences: EN.625.717–EN.625.718 Advanced Differential Equations: Partial Differential Equations and Nonlinear Differential Equations and Dynamical Systems, EN.625.721– EN.625.722 Probability and Stochastic Processes I and II, or EN.625.725– EN.625.726 Theory of Statistics I and II. It is recommended that the sequence represent the final two courses of the degree.
There are no sections currently offered, however you can view a sample syllabus from a prior section of this course.
Home > A&S > Math > Math Undergraduate Theses
Theses from 2019 2019.
The Name Tag Problem , Christian Carley
The Hyperreals: Do You Prefer Non-Standard Analysis Over Standard Analysis? , Chloe Munroe
A Convolutional Neural Network Model for Species Classification of Camera Trap Images , Annie Casey
Pythagorean Theorem Area Proofs , Rachel Morley
Euclidian Geometry: Proposed Lesson Plans to Teach Throughout a One Semester Course , Joseph Willert
An Exploration of the Chromatic Polynomial , Amanda Aydelotte
Complementary Coffee Cups , Brandon Sams
Nonlinear Integral Equations and Their Solutions , Caleb Richards
Principles and Analysis of Approximation Techniques , Evan Smith
An Introductory Look at Deterministic Chaos , Kenneth Coiteux
A Brief Encounter with Linear Codes , Brent El-Bakri
Axioms of Set Theory and Equivalents of Axiom of Choice , Farighon Abdul Rahim
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Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations
Theses/dissertations from 2023 2023.
Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton
On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes
Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li
Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner
Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng
Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings
The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha
Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay
Tangled up in Tanglegrams , Drew Joseph Scalzo
Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith
Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson
Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock
Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington
Polynomials, Primes and the PTE Problem , Joseph C. Foster
Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat
A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara
Trimming Complexes , Keller VandeBogert
Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang
An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea
Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice
Rationality Questions and the Derived Category , Alicia Lamarche
Counting Number Fields by Discriminant , Harsh Mehta
Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen
Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih
Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick
Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang
An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan
Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng
Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood
On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark
A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar
Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes
Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell
Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin
Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu
An Implementation of the Kapustin-Li Formula , Jessica Otis
A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer
A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig
Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch
On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann
An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm
Dynamical Entropy of Quantum Random Walks , Duncan Wright
Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang
Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed
Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai
Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran
Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman
A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna
Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard
Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson
Graph Homomorphisms and Vector Colorings , Michael Robert Levet
Local Rings and Golod Homomorphisms , Thomas Schnibben
States and the Numerical Range in the Regular Algebra , James Patrick Sweeney
Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao
On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins
Subdivision of Measures of Squares , Dylan Bates
Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev
Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov
Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey
Nonequispaced Fast Fourier Transform , David Hughey
Deep Learning: An Exposition , Ryan Kingery
A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis
Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders
On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein
Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu
Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky
On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich
Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short
Chebyshev Inversion of the Radon Transform , Jared Cameron Szi
Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang
Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung
The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton
Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner
Avoiding Doubled Words in Strings of Symbols , Michael Lane
A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin
Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh
Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith
Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang
Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao
The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard
Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn
Independence Polynomials , Gregory Matthew Ferrin
Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston
On the Group of Transvections of ADE-Diagrams , Marvin Jones
Fake Real Quadratic Orders , Richard Michael Oh
Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown
Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole
Deducing Vertex Weights From Empirical Occupation Times , David Collins
Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler
Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove
Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy
Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington
The Weierstrass Approximation Theorem , LaRita Barnwell Hipp
The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat
Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr
Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano
Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White
A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick
Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu
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A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
Anne Sophie Rojahn – Localised adaptive Particle Filters for large scale operational NWP model
Melanie Kobras – Low order models of storm track variability
Ed Clark – Vectorial Variational Problems in L∞ and Applications to Data Assimilation
Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes
Chiara Cecilia Maiocchi – Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems
Samuel R Harrison – Stalactite Inspired Thin Film Flow
Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability
Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions
Jennifer E. Israelsson – The spatial statistical distribution for multiple rainfall intensities over Ghana
Giulia Carigi – Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics
André Macedo – Local-global principles for norms
Tsz Yan Leung – Weather Predictability: Some Theoretical Considerations
Jehan Alswaihli – Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations
Jemima M Tabeart – On the treatment of correlated observation errors in data assimilation
Chris Davies – Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems
Birzhan Ayanbayev – Some Problems in Vectorial Calculus of Variations in L∞
Penpark Sirimark – Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation
Adam Barker – Path Properties of Levy Processes
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils
Carlo Cafaro – Information gain that convective-scale models bring to probabilistic weather forecasts
Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators
James Jackaman – Finite element methods as geometric structure preserving algorithms
Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics
Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface
Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations
Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)
Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)
Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)
Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)
Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)
Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)
Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)
Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)
Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)
Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)
Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)
Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)
Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)
Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)
Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)
Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)
Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)
Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)
Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)
Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)
Mark Parsons - Mathematical Modelling of Evolving Networks
Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring
David Gilbert - Analysis of large-scale atmospheric flows
Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)
Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)
Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)
Cassandra A.J. Moran - Wave scattering by harbours and offshore structures
Ashley Twigger - Boundary element methods for high frequency scattering
David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)
Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)
Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)
Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)
Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)
Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)
Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)
Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)
R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)
G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)
C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.
P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)
L. Bennetts - Wave scattering by ice sheets of varying thickness
M. Preston - Boundary Integral Equations method for 3-D water waves
J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)
D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)
S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)
J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)
L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems
M. Hunt - Unique extension of atomic functionals of JB*-Triples
D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications
T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill
C. Hughes - On the topographical scattering and near-trapping of water waves
B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems
D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows
M. Henderson - Extending the edge-colouring of graphs
K. Allen - The propagation of large scale sediment structures in closed channels
D. Cariolaro - The 1-Factorization problem and same related conjectures
A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples
D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling
S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction
C. Johnson - Information Content of Observations in Variational Data Assimilation
M.A. Wakefield - Bounds on Quantities of Physical Interest
M. Johnson - Some problems on graphs and designs
A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts
R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems
J.V. Morgan - Numerical Methods for Macroscopic Traffic Models
M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling
M. Martin - Data Assimilation in Ocean circulation models with systematic errors
K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations
J. Hudson - Numerical Techniques for Morphodynamic Modelling
A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .
C.J.Smith - The semi lagrangian method in atmospheric modelling
T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow
M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.
P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.
M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors
P. Sims - Interface Tracking using Lagrangian Eulerian Methods.
P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.
B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.
S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.
I. Sciriha - On Some Aspects of Graph Spectra.
P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.
J.F. Goodwin - Developing a practical approach to water wave scattering problems.
N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.
L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.
A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .
J. Bryans - Denotational semantic models for real-time LOTOS.
I. MacDonald - Analysis and computation of steady open channel flow .
A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.
S.M. Allen - Extended edge-colourings of graphs.
M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.
C.J. Chikunji - On the classification of finite rings.
S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.
D.J. Staziker - Water wave scattering by undulating bed topography .
K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .
D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .
M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .
M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .
S.M. Stringer - The use of robust observers in the simulation of gas supply networks .
S.L. Wakelin - Variational principles and the finite element method for channel flows. .
E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .
C.P. Reeves - Moving finite elements and overturning solutions .
A.J. Malcolm - Data dependent triangular grid generation. .
A thesis is a more ambitious undertaking than a project. Most thesis writers within Applied Mathematics spend two semesters on their thesis work, beginning in the fall of senior year. Students typically enroll in Applied Mathematics 91r or 99r (or Economics 985, if appropriate) during each semester of their senior year. AM 99r is graded on a satisfactory/unsatisfactory basis. Some concentrators will have completed their programs of study before beginning a thesis; in situations where this is necessary, students may take AM 91r for letter-graded credit, for inclusion in Breadth section (v) of the plan of study. In the spring semester, the thesis itself may serve as the substantial paper on which the letter grade is based. Econ 985 is also letter-graded, and may be included in the Breadth section of the plan of study in place of AM 91r.
Another, somewhat uncommon option, is that a project that meets the honors modeling requirement (either through Applied Mathematics 115 or 91r) can be extended to a thesis with about one semester of work. Obviously the more time that is spent on the thesis, the more substantial the outcome, but students are encouraged to write a thesis in whatever time they have. It is an invaluable academic experience.
The thesis should make substantive use of mathematical, statistical or computational modeling, though the level of sophistication will vary as appropriate to the particular problem context. It is expected that conscientious attention will be paid to the explanatory power of mathematical modeling of the phenomena under study, going beyond data analysis to work to elucidate questions of mechanism and causation rather than mere correlation. Models should be designed to yield both understanding and testable predictions. A thesis with a suitable modeling component will automatically satisfy the English honors modeling requirement; however a thesis won't satisfy modeling Breadth section (v) unless the student also takes AM 91r or Econ 985.
Economics 985 thesis seminars are reserved for students who are writing on an economics topic. These seminars are full courses for letter-graded credit which involve additional activities beyond preparation of a thesis. They are open to Applied Mathematics concentrators with suitable background and interests.
Students wishing to enroll in AM 99r or 91r should follow the application instructions on my.harvard.
The timeline below is for students graduating in May. The thesis deadline for May 2025 graduates is Friday, March 28, 2025 at 2:00PM. For off-cycle students, a similar timeline applies, offset by one semester. The thesis due date for March 2025 graduates is Friday, November 22, 2024 at 2:00PM. Late theses are not accepted.
Students often find a thesis supervisor by this time, and work with their supervisor to identify a thesis problem. Students may enroll in Econ 985 (strongly recommended when relevant), AM 91r, or AM 99r to block out space in their schedule for the thesis.
All fourth year concentrators are contacted by the Office of Academic Programs. Those planning to submit a senior thesis are requested to supply certain information. This is the first formal interaction with the concentration about the thesis.
A tentative thesis title approved by the thesis supervisor is required by the concentration.
The student should provide the name and contact information for a recommended second reader, together with assurance that this individual has agreed to serve. Thesis readers are expected to be teaching faculty members of the Faculty of Arts and Sciences or SEAS. Exceptions to this requirement must be first approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies. For AM/Economics students writing a thesis on a mathematical economics topic for the March thesis deadline, the second reader will be chosen by the Economics Department. For AM/Economics students writing for the November deadline, the student should recommend the second reader.
Thesis due at 2pm. Late theses are not accepted. Electronic copies in PDF format should be delivered by the student to the two readers and to [email protected] (which will forward to the Directors of Undergraduate Studies, Associate and Assistant Director of Undergraduate Studies) on or before that date and time. An electronic copy should also be submitted via the SEAS online submission tool on or before that date. SEAS will keep this electronic copy as a non-circulating backup and will use it to print a physical copy of the thesis to be deposited in the Harvard University Archives. During this online submission process, the student will also have the option to make the electronic copy publicly available via DASH, Harvard’s open-access repository for scholarly work.
Contemporaneously, the two readers will receive a rating sheet to be returned to the Office of Academic Programs before the beginning of the Reading Period, together with their copy of the thesis and any remarks to be transmitted to the student.
The Office of Academic Programs will send readers' comments to the student in late May, after the degree meeting to decide honors recommendations.
The thesis is evaluated by two readers, whose roles are further delineated below. The first reader is the thesis adviser. The second and reader is recommended by the student and adviser, who should secure the agreement of the individual concerned to serve in this capacity. The reader must be approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies. The second reader is normally are teaching members of the Faculty of Arts and Sciences, but other faculty members or comparable professionals will usually be approved, after being apprised of the responsibilities they are assuming. For theses in mathematical economics, the choice of the second reader is made in cooperation with the Economics department. The student and thesis adviser will be notified of the designated second reader by mid-March.
The roles of the thesis adviser and of the outside reader are somewhat different. Ideally, the adviser is a collaborator and the outside reader is an informed critics. It is customary for the adviser's report to comment not only on the document itself but also on the background and context of the entire effort, elucidating the overall accomplishments of the student. The supervisor may choose to comment on a draft of the thesis before the final document is submitted, time permitting. The outside reader is being asked to evaluate the thesis actually produced, as a prospective scientific contribution — both as to content and presentation. The reader may choose to discuss their evaluation with the student, after the fact, should that prove to be mutually convenient.
The thesis should contain an informative abstract separate from the body of the thesis. At the degree meeting, the Committee on Undergraduate Studies in Applied Mathematics will review the thesis, the reports from the two readers and the student’s academic record. The readers (and student) are told to assume that the Committee consists of technical professionals who are not necessarily conversant with the subject matter of the thesis so their reports should reflect this audience.
The length of the thesis should be as long as it needs to be to make the arguments made, but no longer!
The most recent thesis examples across all of SEAS can be found on the Harvard DASH (Digital Access to Scholarship at Harvard) repository . Search the FAS Theses and Dissertations collection for "applied mathematics" to find dozens of examples.
Note: Additional samples of old theses can be found in McKay Library. Theses awarded Hoopes' Prizes can be found in Lamont Library.
Theses submitted in 2024.
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Arpit Bhate | From the Periphery to Power The Impact of the Election of Underrepresented Groups to the Indian Government |
Dominik Bohnet Zurcher | Pick Me: Reducing Wastefulness in the Random Serial Dictatorship Mechanism |
William Cooper | Analysis of the Harvard Computer Society Email Archives: An Exploration of Differential Privacy in Practice |
Luca D'Amico-Wong | Disrupting Bipartite Trading Networks: Matching for Revenue Maximization |
Terry Emeigh | An Electrifying Framework for the Future of Transport Optimizing Electric Vehicle Charging Infrastructure for Enhanced Adoption |
Julia Gavel | Echoes of an Empire: Mortality in the Former Soviet Union Since the Mid-1990s |
Alexander Glynn | Leveraging Latent Spaces for Fair Results in Vector Database Image Retrieval |
Benjamin Hartvigsen | A Physics-Oriented Approach to the Classification of Extreme Weather Events |
Ashley Herrera | Expanding Heterogeneous Factors Deemed Important: Revisiting the Impact of Microfinance on Businesses |
Maeve Humphrey | Predictive Models for Pediatric Cardiac Surgery Outcomes Comparing Regressions and Augmented Data Models |
Lawrence Jia | Main Street Monetary Policy: The Implications of Business and Consumer Sentiment for the Federal Reserve |
Sara Kapoor | Old Comedy through New Lenses A Computational Study of Personal Satire in Aristophanes |
Naomi Kenyatta | The Rise of Corporate Social Advocacy: A Study of Fortune 500 Companies from 1980 to 2022 |
Madeline Kitch | Regulating Polluting Monopolies from an Equity-Efficiency Perspective |
Patrick McDonald | Geometric Methods for Quantitative Analysis of Romance Languages |
Alex Min | Safety in Numbers? Evidence on the Relationship Between Crime and Mobility from American Cities During the COVID-19 Pandemic |
Elliott Mokski | Preaching to the Choir: An AI-Based Analysis of Religious Demand in U.S. Church Sermons, 2000-2023 |
Xavier Morales | Moving Together: Understanding Collective Ant Behavior through an Agent-Based Model of Pheromone Dynamics |
Hari Narayanan | Classifying Ragams in Carnatic Music with Machine Learning Models: A Shazam for South Indian Classical Music |
Lily Nguyen | The Debt-Inflation Dance The Relationship Between Unexpected Government Debt Increases and Inflation |
Taryn O'Connor | Pricing in the Polls: How Expected Election Outcomes Drive Asset Price Reactions in Advanced and Emerging Market Economies |
Lillian Petersen | Understanding Transcription Factor Activation and Repression Strength with Protein Language Models |
Mark Polk | Mathematical Analysis of Molecular Hypotheses for Clinical Variation in Sickle Cell Disease |
Ben Ray | Improving Microestimates of Poverty from Satellite Images |
Sterling Rosado | Redefining Urban Accessibility: Miami's Path to the 15-Minute City (FMC) |
Emma Salafsky | Exploring the Role of Kazald2 in Axolotl Limb Regeneration through Computational Approaches |
Santiago Saldivar | From Community to Commencement: Analyzing the Correlation between Social Capital Variables and Graduation Rates among United States High Schools |
Bridget Sands | A Whole New Ballgame: Evaluating the Effects of Major League Baseball’s 2023 New Rules Using Statistical Modeling |
Janani Sekar | The Real Burnout: The Effects of Climate Change and Particulate Air Matter Pollution on K-12 Education |
Lauren Shen | How Badly Do You Want Me In-Office? Putting a Dollar Value on Alternative Work Arrangements for Recent College Graduates |
Ostap Stefak | The Kremlin’s Conundrum: Telegram as Russia’s Information Battlefield |
Alexander Sullivan | Rowing Against the Wind: An Analysis of the Impact of Variable Wind Conditions on Current and Prospective Rowing Selection Methods |
Nathan Sun | On Arbitrage in Single- and Multi-token Uniswap Markets |
Matti Tan | Top to Bottom: Best-case Standard Errors for Calibrated Model Parameters |
Andrew Van Camp | A Novel Mechanism of Killing Antibiotic-Resistant Enterococci |
Grace Wang | Yours, Mine, and Ours: The Effects of Post-2011 School Finance Reforms on Student Outcomes and the Redistribution of K-12 Education Funding |
Akhila Yalvigi | Electing Justice: The Role of Ideology in the Dynamics of Judicial Elections |
Meiyi Yan | To Go or Not to Go: A Quantitative Gendered Analysis of Health, Subjective Socioeconomic Status, and Well-Being Outcomes Among Rural-to-Urban Migrants in China |
Charlie Yang | Learning Through Stories: Tracing the Origins and Intergenerational Impact of Educational Themes in Folklore |
Owen Berger | The Role of Vision in Single-Leg Balance |
Ishan Bhatt | Yes, Literally, In My Backyard: The Effect of “Gently” Upzoning Single-Family Neighborhoods |
Natalka Bowley | The Efects of the Russo-Ukrainian War on Moral and Civic Values |
Georgia Bradley | Converging in Crisis: The International Impact of Europe’s Energy Crisis on Natural Gas Prices |
Garyk Brixi | Fine-tuning Protein Language Models to Identify Interaction Sites Enables Binder Design from Sequence |
Matej Cerman | Opportunity or Desperation: Investigating the COVID-19 Surge in Business Creation |
Elise Chenevey | Houston, We Have Profits: Analyzing Venture Capital Investment in the Space Technology Industry |
George Crowne | From Urban Form to Friending Bias: Testing Jane Jacobs’ Hypotheses |
Jackson Delgado | Optimal Pitch Selection Policies Via Markov Decision Processes |
Connor Dowd | ClustHP: An Unsupervised Learning Pipeline for the Homoplasy Scoring of Single Nucleotide Variants |
Vineet Gangireddy | A Computational Approach to Recontextualization in Human Reading Behavior |
Max Garrity-Janger | Pangenome Alignment: An Improved Method to Accurately Map Telomeric Long-Reads and Its Application in the Analysis of Alternative Lengthening of Telomeres (ALT) Positive Cells |
Eric Hansen | Rising Rents: Forecasting Housing Inflation at the Metropolitan Level |
Jean-Luc Henraux | Mixed Ownership and Alternatives to Privatization in India |
Shai Hirschl | The Migration Response to Uneven Policy Shocks: Evidence from China’s 2014 Hukou Reforms |
Alison Hu | Does Going Green Pay Dividends? The Impact of Firm Climate-Related Disclosures on Institutional Investor Behavior |
Alexa Jacques | Athlete Rankings: An Analysis of Elite Women’s Cyclists |
Nicholas Lauer | Birdie or Bogey? How Golf Course Construction Affects Surrounding Home Values |
Bonnie Liu | Diversionary Media: Autocrat’s Political Stabilization Tool During Political Unrest |
Brian Magdaleno | Virtual Studio Technology Development Through Fourier Transformation and Temporal Profile Analysis of Electric Guitar |
Sofia Martinez | Predicting the Observability of Putative Central Black Holes in the JWST z ∼ 10 Galaxies |
Lewis McAllister | Trading away the Future? The Winner’s Curse and Overconfidence in Major League Baseball |
Kalyan Palepu | Design of Peptide-Based Protein Degraders via Contrastive Deep Learning |
Isha Puri | Beyond Machine Learning Accuracy: Shifting Paradigms of Neural Network Explainability and Reasoning |
Martin Reyes Holguin | Extracting Latent Asset Pricing Factors from Open-Source Portfolio Returns |
Abigail Romero | Policy and Violence in Mexico |
Leo Saenger | Respect Your Elders? The Economic Origins and Political Consequences of Attitudes Toward the Aged |
Julian Schmitt | A Forest for the Trees: Using Random Forests for Small Area Estimation on US Forest Inventory Data |
Rohan Sheth | Pick Six: Estimating the Return to School Selection for Elite College Football Recruits |
Ben Stern | Bringing the Heat: Predicting the Pass Rush and Quantifying Pressure in NFL Football |
Lucas Szwarcberg | Leveraged Landlords: Life-Cycle Portfolio Choice With Rental Properties, Mortgages, and Margin Calls |
Brandon Tang | Differentiating Human and Machine Intelligence with Contextualized Embeddings |
Aurash Vatan | Acts of God and Government: Evidence for Charitable Crowd-Out from Natural Disasters and Government Spending |
Hana Wakamatsu | Join the (Climate) Club: A Game-Theoretic Analysis of Membership Incentives |
Jessica Wu | Valuing Private Reproductive Healthcare Policies: Evidence from a Survey Experiment |
Lauren Yang | The Promise and Hazards of Armed Self-Protection: Analyzing the Racial and Gender Implications of Justifiable Homicide and the Effects of ‘Stand Your Ground’ Laws |
Can Yesildere | Speaking Like The State: Political Economy of Language Planning in Turkey |
David Zhang | Combatting Collusion Between Reinforcement Learning Agents in Electricity Markets |
Vera Zhou | Americans Changed How They Drive, Yet Gas Tax Regressivity Remained (Mostly) Stable: A Study on How Evolving Relationships of Mileage and MPG with Income Influenced Gasoline Tax Regressivity in America between 1977 and 2017 |
Senior A.B. theses are submitted to SEAS and made accessible via the Harvard University Archives and optionally via DASH (Digital Access to Scholarship at Harvard), Harvard's open-access repository for scholarly work.
In addition to submitting to the department and thesis advisors & readers, each SEAS senior thesis writer will use an online submission system to submit an electronic copy of their senior thesis to SEAS; this electronic copy will be kept at SEAS as a non-circulating backup. Please note that the thesis won't be published until close to or after the degree date. During this submission process, the student will also have the option to make the electronic copy publicly available via DASH. Basic document information (e.g., author name, thesis title, degree date, abstract) will also be collected via the submission system; this document information will be available in HOLLIS , the Harvard Library catalog, and DASH (though the thesis itself will be available in DASH only if the student opts to allow this). Students can also make code or data for senior thesis work available. They can do this by posting the data to the Harvard Dataverse or including the code as a supplementary file in the DASH repository when submitting their thesis in the SEAS online submission system.
Whether or not a student opts to make the thesis available through DASH, SEAS will provide an electronic record copy of the thesis to the Harvard University Archives. The Archives may make this record copy of the thesis accessible to researchers in the Archives reading room via a secure workstation or by providing a paper copy for use only in the reading room. Per University policy , for a period of five years after the acceptance of a thesis, the Archives will require an author’s written permission before permitting researchers to create or request a copy of any thesis in whole or in part. Students who wish to place additional restrictions on the record copy in the Archives must contact the Archives directly, independent of the online submission system.
Students interested in commercializing ideas in their theses may wish to consult Dr. Fawwaz Habbal , Senior Lecturer on Applied Physics, about patent protection. See Harvard's policy for information about ownership of software written as part of academic work.
Senior theses.
An undergraduate thesis is a singly-authored mathematics document, usually between 10 and 80 pages, on some topic in mathematics. The thesis is typically a mixture of exposition of known mathematics and an account of your own research.
To write an undergraduate thesis, you need to find a faculty advisor who will sponsor your project. The advisor will almost surely be a faculty member of the pure math department, though on occasion we have accepted theses written by people with applied math advisors. In these rare cases, the theses have been essentially pure math theses.
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2010 | Alex Kruckman | The Ax-Kochen Theorem: An Application of Model Theory to Algebra | Dan Abramovich/Michael Rosen |
2010 | Thomas Lawler | On the Local Structure of Triangulation Graphs | Richard Schwartz |
2011 | Andrew Furnas | Mathematical Modeling of Woven Fabric | Govind Menon |
2011 | Eric Sporkin | Modifying the BLS Signature Scheme Using Isogenies | Reinier Broker |
2011 | Tyler K. Woodruff | Discrepancy Upper Bounds for Certain Families of Rotated Squares | Jill Pipher |
2012 | Nadejda Drenska | Representation of Periodic Data with Fourier Methods and Wavelets | Jill Pipher |
2012 | Zev Chonoles | Hermite's Theorem for Function Fields | Michael Rosen |
2013 | Kevin Casto |
| Richard Schwartz/Govind Menon |
2013 | In-Jee Jeong |
| Richward Schwartz |
2013 | Benjamin LeVeque |
| Jeffrey Hoffstein |
2013 | Lucas Mason-Brown |
| Michael Rosen |
2013 | Yilong Yang |
| Richard Schwartz |
2014 | Nicholas Lourie |
| Richard Schwartz |
2014 | Michael Thaler | Extending Conway's Tiling Groups to a Triangular Lattice with Three Deformations | Richard Schwartz |
2015 | Justin Semonsen | Factorization of Birational Maps | Dan Abramovich |
2015 | Kamron Vachiraprasith | On the Average Order of Arithmetic Functions Over Monic Square-Free Polynomials in Finite Fields | Michael Rosen |
2015 | Francis White |
| Sergei Treil |
2015 | Zijian Yao | Arakelov Theory on Arithmetic Surfaces | Stephen Lichtenbaum |
2016 | Claire Frechette |
| Melody Chan |
2018 | Collin Cademartori |
| Govind Menon |
2018 | Michael Mueller |
| Thomas Goodwillie |
2018 | Lewis Silletto |
| Richard Schwartz |
2020 | Jongyung Lee |
| Dan Abramovich |
2020 | Owen Lynch |
| Yuri Sulyma |
2021 | Alexander Bauman |
| Bena Tshishiku |
2021 | Matei P. Coiculescu |
| Richard Schwartz |
2021 | Henry Talbott |
| Richard Schwartz |
2021 | Nathan Zelesko |
| Melody Chan |
2022 | Griffin Edwards |
| Yuri Sulyma |
2022 | Dichuan David Gao |
| Justin Holmer |
2022 | Jasper Liu |
| Jeffrey Hoffstein |
2024 | Alex Feiner |
| Joseph Silveman |
2024 | Mattie Ji | Some Morse Theoretic Results on Definable Functions | Richard Schwartz |
2024 | Tyler Lane |
| Brendan Hassett |
2024 | Smita Rajan |
| Brendan Hassett |
In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications.
r/mathematics is a subreddit dedicated to focused questions and discussion concerning mathematics.
Hello all! I’m an undergraduate math major. This semester I am starting a thesis for the College of Honors in the field of mathematics at my school. I have struggled the whole semester in trying to find a topic to write on and how to find sources on the topic. One of my professors suggested finding a topic I like and writing about its applications. I know as an undergrad I don’t need to contribute any “original work/ideas” to the field of mathematics. But does anyone, particularly someone who has does math research or written a thesis in mathematics have any ideas that might be interesting (and frankly, easier to write about)? I honestly am at a loss here trying to find a topic and beginning writing in the first place. Any tips or resources would be appreciated. I do enjoy calculus, financial mathematics, and abstract algebra. So far I’ve taken: Calculus 1&2, Linear and Abstract Algebra, Probability, Statistical Methods (I have NOT completed Real Analysis, Differential Equations, Calculus 3 or Number Theory yet) just so everyone has an idea. Thank you for your help!
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Extended Abstracts of the 2022 Joint Seminar
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Institute of mathematics and mathematical modeling, almaty, kazakhstan.
Part of the book series: Trends in Mathematics (TM, volume 6)
Part of the book sub series: Research Perspectives Ghent Analysis and PDE Center (RPGAPC)
Included in the following conference series:
Conference proceedings info: AAM 2022.
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This book presents extended abstracts of the Analysis and Applied Mathematics seminar organized jointly by Bahçeşehir University, Istanbul, Turkey, Ghent Analysis & PDE Center, Ghent University, Ghent, Belgium and the Institute Mathematics & Math. Modeling, Almaty, Kazakhstan. The book is of value to professional mathematicians as well as advanced students in the fields of analysis and applied mathematics. The goal of the seminar is to provide a forum for researchers and scientists from different regions to communicate their recent developments and to present their original results in various fields of analysis and applied mathematics. All of the articles contain new results and are peer-reviewed. The volume reflects the latest developments in the area of analysis and applied mathematics and their interdisciplinary applications.
Front matter, some measures of noncompactness and their applications.
A numerical algorithm for the third order delay partial differential equation with robin boundary condition.
On sixth order of accuracy four-step difference schemes for the fourth-order differential equations.
Editors and affiliations.
Allaberen Ashyralyev
Michael Ruzhansky
Makhmud A. Sadybekov
Allaberen Ashyralyev is a professor of mathematics at Bahçeşehir University, Istanbul, Türkiye
Michael Ruzhansky is a Senior Full Professor of Mathematics at Ghent University in Belgium, and a Professor of Mathematics at Queen Mary University of London in the United Kingdom.
Makhmud A. Sadybekov is Director General at the Institute of Mathematics and Mathematical Modelling in Almaty, Kazakhstan.
Book Title : Analysis and Applied Mathematics
Book Subtitle : Extended Abstracts of the 2022 Joint Seminar
Editors : Allaberen Ashyralyev, Michael Ruzhansky, Makhmud A. Sadybekov
Series Title : Trends in Mathematics
DOI : https://doi.org/10.1007/978-3-031-62668-5
Publisher : Birkhäuser Cham
eBook Packages : Mathematics and Statistics , Mathematics and Statistics (R0)
Copyright Information : The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN : 978-3-031-62667-8 Published: 28 August 2024
Softcover ISBN : 978-3-031-62670-8 Due: 11 September 2025
eBook ISBN : 978-3-031-62668-5 Published: 27 August 2024
Series ISSN : 2297-0215
Series E-ISSN : 2297-024X
Edition Number : 1
Number of Pages : IX, 252
Number of Illustrations : 2 b/w illustrations, 17 illustrations in colour
Topics : Analysis , Functional Analysis , Dynamical Systems and Ergodic Theory , Vibration, Dynamical Systems, Control , Operator Theory
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Optimal trajectory calculation using neural networks. Master's Theses 2023. Author. Title. Michael Willette. Modelling the Subglacial Hydrology of Trinity-Wykeham Glaciers of the Northern Canadian Arctic. Adam Winick. Theory and Mitigation of Crosstalk on Quantum Information Processors. Akihiro Takigawa.
Theses/Dissertations from 2021. PDF. Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino. PDF. Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li. PDF. Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo. PDF.
Updated: April 2024 Math/Stats Thesis and Colloquium Topics 2024- 2025 The degree with honors in Mathematics or Statistics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core ...
Modeling and simulation of uni- and multi-flagellar bacterial locomotion in a viscous fluid. PhD Theses 2022. Author. Title. James Petrie. Decentralized contact tracing protocols and a risk analysis approach to pandemic control. Yiming Meng. Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties.
bio-mathematics: introduction to the mathematical model of the hepatitis c virus, lucille j. durfee. pdf. analysis and synthesis of the literature regarding active and direct instruction and their promotion of flexible thinking in mathematics, genelle elizabeth gonzalez. pdf. life expectancy, ali r. hassanzadah. pdf
Numerical Streamline Methods for Solving Steady Flow Problems (Methods, Compressible, Free Surface, Finite Difference.) Jie Sun. On Monotropic Piecewise Quadratic Programming (Network, Algorithm, Convex Programming, Decomposition Method.) Name Dissertation Title Advising Professor (s) 2022 Yuying Liu.
Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations. Mathematics and Statistics Theses and Dissertations . Follow. Jump to: Theses/Dissertations from 2024 PDF. ... Applied Analysis for Learning Architectures, Himanshu Singh. PDF.
Department of Applied Mathematics University of Washington Lewis Hall 201 Box 353925 Seattle, WA 98195-3925
625.803. Primary Program. Applied and Computational Mathematics. This is the first in a two-course sequence (EN.625.803 and EN.625.804) designed for students in the master's program who wish to work with a faculty advisor to conduct significant, original independent research in the field of applied and computational mathematics.
The collection includes doctoral dissertations submitted to institutions outside the U.S. and Canada. The range of years includes mid-19th century through the present, with the greatest concentration in the late 19th, early 20th centuries.
Research on vibrations of flexible structures is ongoing in engineering and applied mathematics fields. Flexible structures in practice can be considered as systems of interconnected rod-like components. ... In this thesis mathematical models for vibrating elastic structures are derived and analysed using finite element approximations where ...
The Department of Mathematics offers Bachelor's degrees in Mathematics, Applied Mathematics, and Secondary Education Mathematics. In addition to mastering specific mathematical content, mathematics majors develop excellent general skills in problem solving and precise analytical thinking. Graduates of the program are prepared for more ...
Theses/Dissertations from 2021. PDF. Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington. PDF. Polynomials, Primes and the PTE Problem, Joseph C. Foster. PDF. Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat. PDF.
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991. 2024. Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
working knowledge of a broad area of applied mathematics along with a deep knowledge of a particular area in which the student generally writes their doctoral thesis. The doctoral program aims to provide the general training needed to undertake research in applied mathematics along with the associated intellectual and academic skills.
Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to. Harvard University. Department of Mathematics. Science Center Room 325. 1 Oxford Street. Cambridge, MA 02138 USA. Tel: (617) 495-2171 Fax: (617) 495-5132. Department Main Office Contact.
Senior Thesis. A thesis is a more ambitious undertaking than a project. Most thesis writers within Applied Mathematics spend two semesters on their thesis work, beginning in the fall of senior year. Students typically enroll in Applied Mathematics 91r or 99r (or Economics 985, if appropriate) during each semester of their senior year.
Thesis Topics in Applied Mathematics - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document discusses some of the challenges of selecting a thesis topic in applied mathematics, including narrowing one's focus to a specific topic that can be thoroughly researched. It also notes the difficulties of conducting research, analyzing data, and writing the thesis.
students. The selection of topics re ects my personal interests and is therefore biased towards combinatorial mathematics, probability and statistics, opera-tions research, scheduling theory and, yes, history of mathematics. It is in the nature of things that the level of di culty varies from topic to topic.
the topic is in pure or applied mathematics (if in doubt about suitability, check with the Director of . Undergraduate Studies). In general, focused theses on a circumscribed topic do well, whereas theses that ... sophistication of the topic. In particular, the thesis topic need not be 'cutting edge' mathematics, it only needs to be cutting ...
Senior Theses. An undergraduate thesis is a singly-authored mathematics document, usually between 10 and 80 pages, on some topic in mathematics. The thesis is typically a mixture of exposition of known mathematics and an account of your own research. To write an undergraduate thesis, you need to find a faculty advisor who will sponsor your project.
Applied Mathematics Research. In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. Applied Mathematics Fields The mathematics of surface tension. Combinatorics; Computational Biology
Applied Math Thesis Topics for Undergr . Applied Math I'll be taking a thesis course for the Fall Semester but I have no idea where to start with developing a topic for my thesis. I need to present a rough outline of my thesis for registration in a few weeks. Does anyone have suggestions of how to come up with a thesis topic?
Here are some topics which I enjoy and thought that you might enjoy given your coursework. Mathematical Cryptography and the development of post quantum cryptosystems (heavy on number theory applications of abstract algebra and advanced linear algebra) Game Tree Theory (probability theory and algebraic manipulations).
The book is of value to professional mathematicians as well as advanced students in the fields of analysis and applied mathematics. The goal of the seminar is to provide a forum for researchers and scientists from different regions to communicate their recent developments and to present their original results in various fields of analysis and ...