math master thesis

Recent Master's Theses - Applied Mathematics

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Master's Theses 2024

Master's theses 2023, master's theses 2022, master's theses 2019, master's theses 2018, master's theses 2017, master's theses 2016, master's theses 2015, master's theses 2014, master's theses 2013, master's theses 2012, master's theses 2011, master's theses 2010, master's theses 2009, master's theses 2008, master's theses 2007.

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Mathematics Masters Thesis Collection

Theses/dissertations from 2023 2023.

Theoretical epidemiology analysis of Plague, Polio, and Covid-19 outbreak , Vivian J. Goshashy

Modeling repairable system failure data using NHPP reliability growth mode. , Eunice Ofori-Addo

Solitons and their applications in physics , B. A. Yount

Theses/Dissertations from 2022 2022

Image restoration using sub-images and confidence intervals , Jasen Babcock

Methods of anomaly detection: an applied framework and application to Health Economics , Nathaniel Eric Islip

Empirical comparison of machine learning methods for wind power predictions , Sidny M. Stewart

Theses/Dissertations from 2021 2021

On the use of utility billing information for predicting homelessness , Colin Donovan Middleton

Theses/Dissertations from 2013 2013

Homological algebra , Anthony Baraconi

A survey of orbifolds , Katherine J. Campbell

Latin squares: the mathematics of Sudoku , Christopher S. Cary

Fractal dimension and Julia sets , Robert DeLorto

The Gordon game , Anthony Frenk

Population models , Jessica Hauer

The game of Lights out , Rebecca S. Meyer

Gödel's incompleteness theorem , Christopher Mullins

Finite geometries and block designs , Timmy Ray Noon

Elliptic curves and their cryptographic applications , Samuel L. Wenberg

Theses/Dissertations from 2012 2012

An introduction to the theory of quantum groups , Ryan W. Downie

The hyperboloid model of hyperbolic geometry , Zachery S. Lane Solheim

Quadratic and cubic reciprocity , Suzanne Rousseau

An introduction to modern cryptology within an algebraic framework , John Szwast

Theses/Dissertations from 2011 2011

Godel's incompleteness theorems , Jessica Dickson

Theses/Dissertations from 2002 2002

An introduction to non-uniform rational B-splines , Amber Diane Smith

Theses/Dissertations from 1996 1996

The implementation of a disambiguation marching cubes algorithm , Xiaodan Liu

Theses/Dissertations from 1989 1989

Three windows on mathematics: the axiomatic method, Lenat's Program AM, and Lonergan's cognitional analysis , Paul Robert Bramsman

Theses/Dissertations from 1980 1980

Identifying the largest component of the dominant eigenvector of a matrix , Sidney Carl Porter

Theses/Dissertations from 1979 1979

SIMNET, a primal Simplex code for networks , Michael C. Banner

Theses/Dissertations from 1976 1976

Catalan numbers , Glenn A. Adamson

Theses/Dissertations from 1974 1974

Fermat's conjecture and the factorization of F[subscript 7] , David R. Englehard

Theses/Dissertations from 1973 1973

A study of some rings of finite power , Robert Eugene France

Theses/Dissertations from 1972 1972

Error correcting binary codes , Richard R. Gengelbach

Upper bounds on the number of real-valued continuous functions , John Michael Purvis

Theses/Dissertations from 1971 1971

Theory and application of back-tracking techniques , Robert Hamilton Verner

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Master Theses

Maqrm , mms-bio  (no longer offered), mms-cps  (no longer offered), mms-edu  (no longer offered).

• Ph.D. in Mathematics
• Ph.D. in Atmosphere Ocean Science
• M.S. at Graduate School of Arts & Science
• M.S. at Tandon School of Engineering
• Written Exams
• PhD Oral Exams
• PhD Dissertation Defense

General Information

Students who have earned a GPA of 3.7 or higher and taken at least 18 credits in the program have the option to write a Master's thesis under the supervision of a Mathematics faculty member. In certain cases involving interdisciplinary research, a second advisor outside the Department of Mathematics may be approved by the Director of Graduate Studies.

All students must submit the  Thesis Proposal and Advisor form , outlining the research plan for the thesis which has been approved by the thesis advisor, to the Program Administrator at least four months prior to the graduation date. The completed Master's thesis must be approved by two readers -- the thesis advisor and a second reader. At least one of the readers must be a full-time Courant Mathematics faculty member.

You can find more detailed information in the  Thesis Guidelines FAQ .

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Home > College of Sciences > Department of Mathematics > Mathematics Student Scholarship and Creative Works > Mathematics Graduate Theses and Dissertations

Mathematics Graduate Theses and Dissertations

Theses/dissertations from 2024 2024.

A Limit Order Book Model for High Frequency Trading with Rough Volatility , Yun S. Chen-Shue

Spectral Approaches for Characterizing Heterogeneity in Infectious Disease Models , Seoyun Choe

Low-rank Matrix Estimation , Xing Fan

Hyperbolic Geometry and Hierarchical Representation Learning , William Grisaitis

Exploring the Challenges of First Grade Students' Non-Exit from Mathematics Intervention: A Comparative Analysis of Mathematics Instruction and Best Practices During Intervention , Lori Hart

Theses/Dissertations from 2023 2023

Topological Data Analysis Using the Mapper Algorithm , Jessica Girard

Extremal Functions for Kt-s Minors and Coloring Graphs with No Kt-s Minors , Michael M. Lafferty

On Quantitative Hessian Estimates for Fully Nonlinear Elliptic Equations , Thialita Moura Do Nascimento

Clustering of Diverse Multiplex Networks , Yaxuan Wang

Theses/Dissertations from 2022 2022

Extensions of the General Solution to the Inverse Problem of the Calculus of Variations, and Variational, Perturbative and Reversible Systems Approaches to Regular and Embedded Solitary Waves , Ranses Alfonso Rodriguez

Mathematical Model for Giraffe Population Dynamics , Huntir Bass

Characterizing Nearby States of the Stokes Wave Solution of the Nonlinear Schrodinger Equation , Teresa Bosch

Optimal Impulse Controls With Changing Running Cost And Applications In Mortgage Refinance , Yuchen Cao

Function Approximation Guarantees for a Shallow Neural Network Trained by Gradient Flow , Russell Gentile

Optimal Stochastic Impulse Control with Decision Lag , Chang Li

The Parker Problem in Hall Magnetohydrodynamics Analytical and Numerical Solutions , Chad Malott

Various Dynamical Regimes, and Transitions from Homogeneous to Inhomogeneous Steady States in Nonlinear Systems with Delays and Diverse Couplings , Ryan Roopnarain

Cholera Transmission Dynamic Model with Environmental Impacts of Plankton Reservoirs , Sweety Sarker

Population Persistence and Disease Invasion in Heterogenous Networks , Poroshat Yazdanbakhshghahyazi

Theses/Dissertations from 2021 2021

Computation of Effective Properties of Smart Composite Materials with Generalized Periodicity Using the Two-Scales Asymptotic Homogenization Method , David Guinovart Sanjuan

A Mathematical Model for Predicting Animal Population Persistence on Fragmented Landscapes , Allyson Jones

Regularized Estimations in Some Statistical Problems , Feng Yu

Theses/Dissertations from 2020 2020

Transfunctions and Other Topics in Measure Theory , Jason Bentley

Distributed Algorithms and Inverse Graph Filtering , Nazar Emirov

Estimation and Clustering in Block Models , Majid Noroozi

Estimation and Clustering in Network and Indirect Data , Ramchandra Rimal

Mean Field Optimal Control and Related Problems , Wei Yan

Theses/Dissertations from 2019 2019

Spatial Models with Specific Error Structures , Nathaniel Adu

Spectral Properties of the Finite Hilbert Transform on Two Adjacent Intervals Via the Method of Riemann-Hilbert Problem , Elliot Blackstone

Hadwiger Numbers and Gallai-Ramsey Numbers of Special Graphs , Christian Bosse

Modeling Disease Impact of Vibrio-Phage Interactions , Christopher Botelho

Semi-Analytical Solutions of Non-linear Differential Equations Arising in Science and Engineering , Mangalagama Dewasurendra

Mathematical Investigation of the Spatial Spread of an Infectious Disease in a Heterogeneous Environment , Arielle Gaudiello

Solution of Linear Ill-posed Problems Using Overcomplete Dictionaries , Pawan Gupta

Frames and Phase Retrieval , Ted Juste

The AfterMath: A Culturally Responsive Mathematical Intervention to Aid Students Affected by Natural Disasters , Brianna Kurtz

Variational Inclusions with General Over-relaxed Proximal Point and Variational-like Inequalities with Densely Pseudomonotonicity , George Nguyen

Estimation and Clustering in Statistical Ill-posed Linear Inverse Problems , Rasika Rajapakshage

Lattice-Valued T-Filters and Induced Structures , Frederick Reid

Two Ramsey-related Problems , Jingmei Zhang

Theses/Dissertations from 2018 2018

A Multiple Case Study Exploring the Relationship Between Engagement in Model-Eliciting Activities and Pre-Service Secondary Mathematics Teachers' Mathematical Knowledge for Teaching Algebra , Aline Abassian

A Single Case Study on the Influence of Feedback on the Instructional Quality of a Preservice Elementary Teacher in Mathematics: The Instructional Quality Assessment Toolkit as a Resource , Makini Campbell Sutherland

Weierstrass Vertices and Divisor Theory of Graphs , Ajani Ruwandhika Chulangi De Vas Gunasekara

Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation , William Hilton

In Quest of Bernstein Inequalities Rational Functions, Askey-Wilson Operator, and Summation Identities for Entire Functions , Rajitha Puwakgolle Gedara

Hilbert Series of Graphs, Hypergraphs, and Monomial Ideals , Kyle Trainor

Quasi-Gorenstein Modules , Alexander York

Theses/Dissertations from 2017 2017

Sampling and Reconstruction of Spatial Signals , Cheng Cheng

The Effectiveness of Project-Based Learning Using Digital Storytelling Technology on Improving Second-Grade Students' Performance of Science Standards , Mariella Dorr

Filtering Problems in Stochastic Tomography , Tyler Gomez

Coloring Graphs with Forbidden Minors , Martin Rolek

Theses/Dissertations from 2016 2016

Structure-preserving Finite Difference Methods for Linearly Damped Differential Equations , Ashish Bhatt

On Randic Energy of Graphs , Brittany Burns

Weighted Low-Rank Approximation of Matrices:Some Analytical and Numerical Aspects , Aritra Dutta

The Impact of Elementary Mathematics Workshops on Mathematics Knowledge for Parenting (MKP) and Beliefs About Learning Mathematics , Heidi Eisenreich

Interval Edge-Colorings of Graphs , Austin Foster

A Multiple Case Study Examining How Third-Grade Students Who Struggle in Mathematics Make Sense of Fraction Concepts , Rebecca Gault

Analysis of Employment and Earnings Using Varying Coefficient Models to Assess Success of Minorities and Women , Amanda Goedeker

The Influence of Instruction in Base 8 on Prospective Teachers' Mathematical Knowledge for Teaching , Katie Harshman

Comparing the Variational Approximation and Exact Solutions of the Straight Unstaggered and Twisted Staggered Discrete Solitons , Daniel Marulanda

Building Lax Integrable Variable-Coefficient Generalizations to Integrable PDEs and Exact Solutions to Nonlinear PDEs , Matthew Russo

A mathematical model for feral cat ecology with application to disease. , Jeff Sharpe

Modeling rogue waves in deep water , Maria Strawn

An Analysis of Undergraduate Elementary School Pre-Service Teachers' Ability to Contextualize Fraction Expressions and Decontextualize Fraction Word Problems , Laura Tapp

Computational Study of Traveling Wave Solutions and Global Stability of Predator-Prey Models , Yi Zhu

Theses/Dissertations from 2015 2015

On the Theory of Zeta-functions and L-functions , Almuatazbellah Awan

Modeling Network Worm Outbreaks , Evan Foley

Calibration of Option Pricing in Reproducing Kernel Hilbert Space , Lei Ge

Propagation Failure in Discrete Inhomogeneous Medium Using a Caricature of the Cubic , Elizabeth Lydon

The Effect of Cognitively Guided Instruction on Students' Problem Solving Strategies and The Effect of Students' Use of Strategies on their Mathematics Achievement , Nesrin Sahin

Tiling with Polyominoes, Polycubes, and Rectangles , Michael Saxton

Integral Representations of Positive Linear Functionals , Angela Siple

Analysis and Simulation for Homogeneous and Heterogeneous SIR Models , Joseph Wilda

Theses/Dissertations from 2014 2014

Analytical solutions to nonlinear differential equations arising in physical problems , Mathew Baxter

Comparison of Second Order Conformal Symplectic Schemes with Linear Stability Analysis , Dwayne Floyd

Tiling Properties Of Spectra Of Measures , John Haussermann

Inversion of the Broken Ray Transform , Roman Krylov

Tiling the Integers , Shasha Li

Investigating the relationships between preferences, gender, and high school students' geometry performance , Bhesh Mainali

Functional Data Analysis and its application to cancer data , Evgeny Martinenko

On the range of the Attenuated Radon Transform in strictly convex sets. , Kamran Sadiq

Talking Back: Mathematics Teachers Supporting Students' Engagement in a Common Core Standard for Mathematical Practice: A Case Study , Mercedes Sotillo Turner

Nonlinear Dispersive Partial Differential Equations of Physical Relevance with Applications to Vortex Dynamics , Robert VanGorder

Electrical Conductivity Imaging via Boundary Value Problems for the 1-Laplacian , Johann Veras

Theses/Dissertations from 2013 2013

Can One Hear...? An Exploration Into Inverse Eigenvalue Problems Related To Musical Instruments , Christine Adams

Secondary And Postsecondary Calculus Instructors' Expectations Of Student Knowledge Of Functions: A Multiple-case Study , Cheryl Avila

Nonparametric And Empirical Bayes Estimation Methods , Rida Benhaddou

A Comparison Of Students' And Parents' Mathematics Attitudes And Achievement At A Private Historically Black University , Kristopher Childs

Curvelets And The Radon Transform , Jill Dickerson

Valuation Of Over-the-counter (otc) Derivatives With Collateralization , Leon Guerrero

A Case Study Exploring The Relationship Between Culturally Responsive Teaching And A Mathematical Practice Of The Common Core State Standards , Tashana Howse

Optimization Problem In Single Period Markets , Tian Jiang

Numerical Simulations For The Flow Of Rocket Exhaust Through A Granular Medium , Kristina Kraakmo

Extensions Of S-spaces , Bernd Losert

Dynamical Invariants And The Fluid Impulse In Plasma Models , Martin Michalak

Hjb Equation And Statistical Arbitrage Applied To High Frequency Trading , Yonggi Park

Partially Integrable Pt-symmetric Hierarchies Of Some Canonical Nonlinear Partial Differential Equations , Keri Pecora

Spectrally Uniform Frames And Spectrally Optimal Dual Frames , Saliha Pehlivan

Accelerated Life Model With Various Types Of Censored Data , Kathryn Pridemore

Modified Pal Interpolation And Sampling Bilevel Signals With Finite Rate Of Innovation , Gayatri Ramesh

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