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:

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);

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 400level);

grades of 3.7 or 4.0 in all 400level math courses;

completion of a commendable project consisting of a written thesis and an oral presentation of the thesis.
Additional guidelines and requirements for an honors level thesis and presentation can be found on the Mathematics Department’s web page.
Honors Theses
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 COVID19  Graham 
Dhital, Aakriti  Bond Pricing Models  Cheng 
Hall, Samantha  Computationally Modeling the Human Complement System to Predict SARSCoV2 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 HullWhite 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 betaamyloid 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 COVID19 in Wuhan from November 17, 2019 to March 31, 2020  Graham 
MurrayBruce, 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  FitzhughNagumo Analysis, HodgkinHuxley 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 AntiCancer 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 UpAndOut Call Options  Cheng 
Ball, Prianka  An Analysis of the Viability of Wind Turbines  Donnay 
He, Tianyi  Valuation of Lookback Options  Cheng 
KaplanKelly, Rose  Multicrossing Projections of Legendrian Knots  Traynor 
Li, Jingling  WellQuasi Ordering and its Relation to Terminating Rewrite System  Cheng 
Mildenhall, Westley  Chaotic Systems of Geodesics on Surfaces of Revolution  Donnay 
Qu, Kewei  WellQuasi Ordering and Confluence  Cheng 
Wang, Yichen  Generalized Twoparameter 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 HullWhite OneFactor 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
CapovillaSearle, 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 padic 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  L^{p} Estimates for a Certain Class of Oscillatory Integral Operators  Cheng 
Martinez, Brenda  Netlogo Simulations of HPV  Donnay 
Neal, Meagan  Reproducing Kernal Hilbert Spaces in MultiTask 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 ZeroSum 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 BlackScholes Model: A Catalyst for Financial Mathematics  Cheng  
Redzic, Milena  HelfferSjostrand 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  ThurstonBennequin 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 