Honors in Mathematics
A degree with honors in mathematics will be awarded by the Department to students who complete the major in mathematics and also meet the following further requirements:
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at least two additional units of work at the 300 level or above (which may include one or two units of MATH 400 or MATH 403);
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a grade point average of at least 3.6, calculated using the grades from 10 math courses: the six math core courses and the highest grades in four math electives (excluding 400-level);
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grades of 3.7 or 4.0 in all 400-level math courses;
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completion of a commendable project consisting of a written thesis and an oral presentation of the thesis.
Honors Theses
2023
| Student | Title of Thesis | Adviser |
| Adanye, Lisa | Cost-Benefit Analysis of LED Conversion | Donnay |
| Gordon-Washington, Li | Exploring Applications of Arbitrage: Finding Arbitrage Opportunities in a Financial Context and Exploiting Market Inefficiencies in Parimutuel Horse Races | Cheng |
| Helson, Augustus | Mathematics of Photoelasticimetry and Numerical Operation of the Photoelastic Grain Solver | Cheng/Brzinski (HC) |
| Hernandez, Yesenia | Improved Computational Approach to Measuring the Tightness of Molecular Knots | Francl/Myer |
| Lei, Jasmine | Chaotic Dynamical Systems: Theory and Visualization | Cheng/Normoyle |
| Nation, Alishia | The Prisoners' Dilemma | Cheng |
| Nguyen, Minh Anh | Black-Scholes Partial Differential Equation: Solution and Applications | Cheng |
| Robinson, Catherine | The Sum of the Products of Four Kloosterman Sums | Milićević |
| Rodrigues, Lola | Combinatorial Games: Nim, Wythoff's Game, Tape Dominoes, Simple Blokus | Cheng |
| Shibeshi, Hayat | Valuation of Options | Cheng |
| Tarsala, Rosalie | Modeling Diabetes Using Symbolic Regression Techniques | Graham |
| Wang, Veronica | Mathematics of Hedging | Cheng |
2022
| Student | Title of Thesis | Adviser |
| Ali, Laila | Pricing Perpetual Barrier Options on Moderna, Pfizer, and Johnson & Johnson Stocks Using Microsoft Excel | Cheng |
| Bachrach, Sidney | Discrete Fourier Analysis | Cheng |
| Cruz, Marye | An Application of Survival Model in Insurance | Cheng |
| Duong, Trang | Numerical Modeling with Iterative Methods for Ground Water Flow Equation | Donnay |
| Eckert, Allison | Trace Obstructions of Equidistributed Holonomy | Milićević |
| Ghazi, Zaynab | Lp Estimates for Oscillatory Integral Operators and Hörmander's Theorem | Cheng |
| Hewitt, Amirah | GBM Modeling of Renewable and Non-Renewable Energy Stocks | Cheng |
| Jin, Valerie | The Mathematical Approach to Medical Imaging | Cheng |
| Luo, Jocelyn | The Mathematics of Financial Derivatives | Cheng |
| Najera, América | Valuation of Options | Cheng |
| Nguruve, Tino | Portfolio Optimization | Cheng |
| Shevchuk, Olga | Application of Dual Quaternions to Skinning of Characters | Traynor/Normoyle |
2021
| Student | Title of Thesis | Adviser |
| Chen, Sandy | The Distribution of Greatest Common Divisor of Elements in Z[√2] | Bergdall |
| Coe, Katie | Mathematical Modeling of Pulmonary Thrombosis in COVID-19 | Graham |
| Dhital, Aakriti | Bond Pricing Models | Cheng |
| Hall, Samantha | Computationally Modeling the Human Complement System to Predict SARS-CoV-2 Immune Response | Cheng/Radhakrishnan (UPenn) |
| Hamrick, Grayson | Energy Investing: Comparing Renewable and Fossil Energy Company Stock Prices Using the Binomial Tree Model | Cheng |
| Hu, Zhuoran | Valuation of Asian Options | Cheng |
| Jepkirui, Edith | Valuation of Barrier Options | Cheng |
| Li, Ziyi | Comparison of Hull-White Algorithm and Geometric Brownian Motion Using Six Chinese Stocks | Cheng |
| Lu, Jiayang | Arbitrage Theorems and Their Applications | Cheng |
| Ndichu, Joan | American versus European Options | Cheng |
| Nguyen, Hien Mai | The Mathematics of Medical Imaging | Cheng |
| Xu, Peiran | Optimal Control Problems | Traynor |
| Yang, Liwei | Modeling Cause of beta-amyloid Induced Alzheimer's Disease and Its Potential Treatment | Graham |
2020
| Student | Title of Thesis | Adviser |
| Fisher, Shannon | Modeling Air Pollution in Philadelphia Using Gaussian Plume Model and Diffusion Equations | Donnay |
| Jeong, Blossom | Transverse Unknotting Number and Family Trees | Traynor |
| Lee, Ellie | Modeling Anchovy Interactions in the Puget Sound” | Graham |
| Lin, Irene | Effectiveness of Isolation and Quarantine for COVID-19 in Wuhan from November 17, 2019 to March 31, 2020 | Graham |
| Murray-Bruce, Meagan | Mortality Modeling of NBA Players | Cheng |
| Oranekwu, Ody | Modeling Ebola Virus in West Africa using Differential Equations | Donnay |
| Wang, Shuning | Portfolio Management | Cheng |
| Wei, Xiya | Predicting Stock Prices Using Mathematical Models | Cheng |
| Zheng, Zhi | Stock Price Prediction for FAANG Stocks | Cheng |
| Zhong, Maggie | Option Pricing and Hedging Strategies | Cheng |
2019
| Student | Title of Thesis | Adviser |
| Basu, Namrata | Predicting Stock Prices of Indian Pharmaceutical Companies | Cheng |
| Dangol, Romy | An Analysis of the Relationship between Stock Market Development and Economic Growth in Nepal | Cheng |
| Duan, Junyan | Modeling the Development and Transmission of HIV | Donnay |
| Meacham, Natalie | Fitzhugh-Nagumo Analysis, Hodgkin-Huxley Models, and Applications in GnRH Secretion | Donnay |
| Reiffen, Leslie | A Broad Overview of the Discrete Wavelet Transform in NMR Signal Processing | Cheng |
| Siraj, Mehendi | Arbitrage in Financial Markets | Cheng |
| Wang, Xingya | An Introduction to Khovanov Homology and Related Knot Invariants | Melvin |
2018
| Student | Title of Thesis | Adviser |
| Benedetto, Dina | Optimal Control Theory: Finding the Optimal Cancer Treatment Protocol for Various Anti-Cancer Approaches | Graham |
| Nguyen, Linh | Portfolio Selection Problem: Optimal Portfolio and Minimum Analysis Approach | Cheng |
| Nguyen, Phuong |
An Application of Queueing Theory: Optimizing Queues at JFK Airport |
Graham |
| Nguyen, Thu | Valuation and Hedging of Barrier Options | Cheng |
| Rendleman, Hunter | Mathematical Methods of Studying Disease: Formal and Statistical Approaches | Cheng |
| Sheng, Yu | On Some Supercongruence Conjectures for Hypergeometric Series | Milićević |
| Terry, Rachel | Valuation of Lookback Options on LVMH Stock | Cheng |
| Wang, Wenqi | Persistent Homology: From Data to Barcodes | Melvin |
2017
| Student | Title of Thesis | Adviser |
| Bai, Yiling | Pricing Up-And-Out Call Options | Cheng |
| Ball, Prianka | An Analysis of the Viability of Wind Turbines | Donnay |
| He, Tianyi | Valuation of Lookback Options | Cheng |
| Kaplan-Kelly, Rose | Multi-crossing Projections of Legendrian Knots | Traynor |
| Li, Jingling | Well-Quasi Ordering and its Relation to Terminating Rewrite System | Cheng |
| Mildenhall, Westley | Chaotic Systems of Geodesics on Surfaces of Revolution | Donnay |
| Qu, Kewei | Well-Quasi Ordering and Confluence | Cheng |
| Wang, Yichen | Generalized Two-parameter Exponential Distribution and its Parameter Estimation | Cheng |
2016
| Student | Title of Thesis | Adviser |
| Geng, Xiaoqi | Estimation Maximization Algorithm: Its Application and Implementation in R | Nancy Zhang at UPenn |
| Koukoutchos, Melina | Harshad Numbers and Shantid Numbers | Grundman |
| Lin, Bingxi | Persistent Homology and Its Application to Data Analysis | Melvin |
| Manhartova, Zuzana | Financial Models: Theory with Examples using Real Data | Cheng |
| Mohattane, Yamina | Applications of the Hull-White One-Factor Model | Cheng |
| Sun, Shuhong (Paula) | An Introduction to Computational Persistent Homology | Melvin |
| Tang, Siran | Portfolio Management with a Focus on Monte Carlo Simulation | Cheng |
| Williams, Simon | Generalizations of Happy Numbers | Grundman |
| Wu, Wanqing | Immunological HIV/AIDS Modeling and Tumor Modeling | Donnay |
| Yan, Ziyi | Geometric Brownian Motion in Financial Mathematics | Cheng |
| Zhai, Yuping | A Development of Basic Stochastic Calculus and its Applications | Cheng |
2015
| Capovilla-Searle, Orsola | Surgery Strings of Legendrian Knots | Traynor |
| Dong, Xinyuan | Stock Price Movement: Simulations and Theories | Cheng |
| Johnson, Madeleine | Geodesic Path of a Surface of Revolution | Donnay |
| Li, Lydia | New p-adic Sextic Supercongruences of Ramanujan Type |
Milićević |
| Liu, Yifan | Valuation of American Options | Cheng |
| Luo, Danqi | Option Valuation Under Risk Neutral Measures | Cheng |
| Narasimhan, Swetha | Analyzing Music Through Geometry | Traynor |
| Preziuso, Danielle | Powering Our Future with Sun and Wind: A Renewable Energy Model for Delaware, New Jersey, and Pennsylvania | Donnay |
| Ramaswamy, Lipika | Fixed Point Theorems and Applications to Economics | Traynor |
| Tang, Jessie | Mathematical Modeling of Ebola | Donnay |
2014
| Ahsin, Taha | A Development of Basic Stochastic Calculus and Its Applications | Cheng |
| Curl, Emelie | The Omega Primality Function in Consecutively Generated Embedding Dimension Three Monoids, or How Studying Chicken McNuggets Helped Me Explain Complex Algebraic Structure | Cheng |
| Mirbey, Jeanne | The Mathematics of Medical Imaging | Cheng |
| Oh, Sookyung | Brownian Motion | Cheng |
| Shrestha, Kriti | Incomplete Character Sums |
Milićević |
| Zhao, Sophie | City Network: The Dynamics of Location, Education, and Production | Traynor |
2013
| Ammar, Lynne | Harmonic Analysis: the bounded Oscillatory Integrals | Cheng |
| Boranda, Bianca | Games, Games, Games: Multistage Stochastic Games | Traynor |
| Ha, Hoang | Gonorrhea Transmission Dynamic and Netlogo Simulation | Donnay |
| Jiang, Hao | Introduction of Valuation of Financial Derivatives | Cheng |
| Kang, Sunny | Lp Estimates for a Certain Class of Oscillatory Integral Operators | Cheng |
| Martinez, Brenda | Netlogo Simulations of HPV | Donnay |
| Neal, Meagan | Reproducing Kernal Hilbert Spaces in Multi-Task Machine Learning | Cheng (jointly with Visiting Assistant Professor of Computer Science Eric Eaton) |
| Pandya, Meghan | Symmetry in Dance and Art: Group Theory and its Applications | Cheng |
| Pradhan, Alisha | Hedging using Options and Futures | Cheng |
| Weinstein, Hannah | Mathematical Modeling of West Nile Virus and Climate Change | Donnay |
| Wu, Qian | Cooperative Games and the Nash Bargaining Model | Traynor |
| Xie, Pan | Stochastic Process and Option Pricing Models | Cheng |
| Yan, Shuning | The Set of Signed Unknotting Numbers | Traynor |
2012
| Dunusinghe, Kaushiki | An Analysis of Energy Use in Bryn Mawr College Buildings | Donnay |
| Hien, Winnie | Vanilla and Exotic Options: Valuation and Hedging | Cheng |
| Link, Katie | Guinea Worm Disease: Opening a mathematical can of worms | Donnay |
| Murphy, Aidan | An Inverse Zero-Sum Conjecture | Grundman |
| Nelson, Sarah | Valuation of Options | Cheng |
| Owens, Catherine | A Theorem on the Weighted Davenport constant | Grundman |
| Savage, Jennifer | Oscillatory intergral Operators and Improved Hormander's Theorem | Cheng |
| Wu, Tong | Options, Hedging and Portfolio Management | Cheng |
2011
| Azuma, Bethany | Construction of Smooth Curves and Surfaces | Melvin |
| Bereznak, Sasha | Valuation of Barrier Options | Cheng |
| Caniglia, Ellie | Modeling the Joint Epidemics of HIV and TB | Donnay |
| Davidson, Sara | Mathematics in Medical Imaging | Cheng |
| Dewar, Romy | Valuation of Options and Hedging | Cheng |
| Kumar, Anagha | Valuation of European and American Call Options | Cheng |
| Lee, Alex | Configuration Spaces of Graphs | Traynor |
| Mirbey, Adele | Mathematics in Crystallography | Cheng |
| Panosia, Alison | Using Phylogenetic Trees to Understand the Evolution of Genes | Traynor |
2010
| Iles, Caitlin | HIV - A Controllable Disease | Donnay |
| Hamermesh, Naomi | Mathematical Modeling of Climate Change: Examining the Diurnal Temperature Range | Donnay |
| Martin, Alyssa | The Mathematics of Catastrophe Risk | Cheng |
| Raj, Leah | Why ESPN Needs More Mathematicians | Cheng |
| Van Sciver, Alicia | Options on Futures | Cheng |
2009
| Brown, Jillian | Mathematically Modeling the Immunological Spread of HIV/AIDS | Donnay |
| Durante, Catherine | Analysis of the Black Scholes Model: An Imperative in Option Pricing | Cheng |
| Hayde, Kendra | Fingerprint Compression using Wavelets | Cheng |
| Lu, Amanda | Valuation of Barrier Options | Cheng |
| Macko, Melania | Bond Pricing | Cheng |
| Waterhouse, Hannah | Climate Changes, Fisheries, and Mathematical Modeling | Donnay |
2008
| Edwalds, Melanie | Geometric and Topological properties of the Mobius Band | Melvin | |
| Feldman, Dena | Langevin Equations: Modeling Particle Motion and Trail Formation | ||
| Krieger, Jody | Analysis of the Black-Scholes Model: A Catalyst for Financial Mathematics | Cheng | |
| Redzic, Milena | Helffer-Sjostrand Proof of the Spectral Theorem | Hughes |
2007
| Haymaker, Katie | Isospectral Lattices and Quadratic Forms | Melvin | |
| Huynh, Huong | The Mathematical Dissection of Social Networks | Donnay | |
| O'Brien, Genevieve Stein | Spectral Theorem for Compact Hermitian Operators | Kasius | |
| Petonic, Cara | Intrinsic Linking Numbers of Complete Graphs | Melvin | |
| Porreca, Camille | Bounded Mean Oscillation Space | Cheng | |
| Tang, Danny | Thurston-Bennequin Bound of Legendrian Links | Melvin | |
| Won, Priscilla | Social Network Analysis: Applications to School District Management | Donnay |
2006
| Benfold, Nicole | Simplest Cubic Fields and Class Numbers | Grundman |
| Do, Cindy | Credit Risk Management | Stromquist |
| Hammer, Emily | Stable Solvability of a Family of Quartic Thue Equations | Grundman |
Department of Mathematics
Contact Us
Park Science Building
Bryn Mawr College
Bryn Mawr, Pennsylvania 19010-2899
Phone: 610-526-5348
Fax: 610-526-6575
Tina Fasbinder
Academic Administrative Assistant
tfasbinder@brynmawr.edu
610-526-5348