Emphasized titles denote winners of the Hazleton Mirkil Prize for Best Senior Thesis Presentation, awarded at the Department’s annual barbecue held at the end of spring term.

2024

• Translating Neurophysiological Recordings Into Dynamic Estimates of Conceptual Knowledge and Learning
  Daniel Carstensen, advisors Peter Mucha and Jeremy Manning
• On the Genera of Modular Curves
  Calvin George, advisor John Voight
• Pattern Avoidance in Nonnesting Permutations
  Amya Luo, advisor Sergi Elizalde
• Network Construction, Partitioning Methods, and Connectivity Measures for Analysis of Neural States Across Subjects
  Rachel Matthew, advisor Peter Mucha
• A Survey-Informed Evolutionary Opinion Dynamics Model of Political Activism with an Application to the 2022 Panamanian Protests
  Arturo Serrano Borrero, advisor Olivia Chu
• Bayesian Inference for Stochastic Predictions of Non-Gaussian Systems with Applications in Climate Change
  Yunjin Tong, advisor Yoonsang Lee

2023

• The Chromatic Symmetric Function in the Star Basis
  Michael Gonzalez, advisor Rosa Orellana
• Bounded Adjointable Operators on Dense Subspaces of Separable Hilbert Spaces
  Varun Malladi, advisor John Trout
• Expanding the Legendrian Knot Atlas
  Noah Schwartz, advisor Ina Petkova
• Classifying Trees by Chromatic Symmetric Functions of Trees
  Jenny Song, advisor Rosa Orellana
• Expanding the Schelling Agent-Based Model: De Jure Segregation Dynamics on a Network
  Love Tsai, advisor Peter Mucha
• Capturing Dynamical Systems Using Deep Learning and Understanding Optimal Data Size in Training Time Series Prediction Models
  Brian Wang, advisor Yoonsang Lee
• A Census of Cubic Fourfolds Over the Field with Two Elements
  Jonah Weinbaum, advisors Jack Petok, Avinash Kulkarni, Asher Auel
• Aspects of Alexander Duality
  Henry Wildermuth, advisor Peter Doyle

2022

• On Specializations of Belyi Maps and Inverse Galois Theory
  Zachary Couvillion, advisor John Voight
• Cliques Can Click! Evolutionary Dynamics on Two-Clique and Clique-Like Graphs with Resource Heterogeneity
  Archita Harathi, advisor Feng Fu
• Pre-processing Methods for Change Detection on Under-sampled and Noisy Fourier Data
  Ivy Junqing Yan, advisor Anne Gelb

2021

• Physics-Informed Neural Networks and Options Pricing
  Andreas Louskos, advisor Yoonsang Lee
• Fields of Moduli for QM Abelian Surfaces with CM
  Jacob Swenberg, advisor John Voight

2020

• Using Bayes Error Rate Estimation to Analyze Feature Spaces
  Sriram Bapatla, advisor Anne Gelb
• Belyi Maps and the Euclidean Triangle Groups
  Matthew Radosevich, advisor John Voight
• The Effect of Buffer Therapy on the Acid-mediated Transition to Malignancy: A Mathematical Model of Acidosis in Spheroid and Xenograft Culture
  Frederika Rentzeperis, advisor Dorothy Wallace
• Exploration into Reducing Uncertainty in Inverse Problems Using Markov Chain Monte Carlo Methods
  Jiahui (Jack) Zhang, advisor Anne Gelb

2019

• An Examination of Alternative Multiplex Modularity Maximization Models
  Jason Cheal, advisor Scott Pauls
• Modeling Spillovers of Emerging Infectious Diseases with Intermediate Hosts
  Katherine Royce, advisor Feng Fu
  

2018

• Co-Diffusion of Social Contagions
  Ho-Chun Herbert Chang, advisor Feng Fu
• Numbers free of large prime factors
  Jared Duker Lichtman, advisor Carl Pomerance
• Understanding Gambling Behavior and Risk Attitudes Using Massive Online Casino Data
  Jonathan Meng, advisor Feng Fu
• Modeling, Analysis, and Simulation of Temperature-Dependent Fluctuations in the Population of the Yellow Fever Mosquito, Aedes aegypti, in Outdoor, Indoor, and Underground Habitats
  Annika Roise, advisor Dorothy Wallace

2017

• Neural Spike Sorting Algorithms for Overlapping Spikes
  Paula X. Chen, advisor Alex Barnett
• Special Values of Riemann Zeta Function
  Milan P. Huynh, advisor Naomi Tanabe
• Social Imitation Dynamics of Vaccination Driven by Vaccine Effectiveness and Beliefs
  Ran Zhuo, advisor Feng Fu

2016

• On Class Number as Determinants of Random Matrices
  Prajeet Bajpai, advisor John Voight
• Opinion Formation on Clustered Networks and Its Implications
  Amanda Fritz, advisor Nishant Malik
• A Generalization of the Alexandrov and Path Topologies of Spacetime via Linear Orders
  Luis Martinez, advisor Jody Trout
• Category Theory and the Gelfand-Naimark Theorem
  Charles Rafkin, advisor Erik van Erp

2015

• Estimation of Ising Graphical Models
  James Brofos, advisor Eugene Demidenko
• Implications of heterogeneous mosquito body-size in mosquito and malaria dynamics
  Jennifer Jin, advisor Olivia Prosper
• A Computational Investigation of Arithmetic Triangle Groups
  Steven Nugent, advisors John Voight and Dan Rockmore

2014

• G-edge colored planar rook algebra
  Sean Griffin, advisor Rosa Orellana
• Hermit points on an octahedron
  Annie Mauhs-Pugh, advisor Peter Doyle
• Sandbagging in one-card poker
  Daniel Miao, advisor Peter Doyle
• The reciprocal sum of the amicable numbers
  Hanh Nguyen, advisor Carl Pomerance
• Counting Clusters on a Grid
  Jacob Richey, advisor Peter Winkler
• Russell Sets, Topology, and Cardinality
  Ethan Thomas, advisor Marcia Groszek
• Monte Carlo Comparison of Strategies for Blackjack
  Atul Vaidyanathan, advisor Peter Winkler
• Control Strategies and Seasonal Fluctuation in Tsetse Fly Populations and Human African Trypanosomiasis: A Mathematical Model
  Nejc Zupan, advisor Dorothy Wallace

2013

• Interval Vector Polytopes
  Gabriel Dorfsman-Hopkins, advisor Rosa Orellana
• Scalable Inference Algorithms for Clustering Large Networks
  Joseph Futoma, advisor Dan Rockmore
• Generating Random Factored Gaussian Integers, Easily
  Noah Lebowitz-Lockard, advisor Carl Pomerance
• Boundary Integral Equations in Linearly Graded Media
  Brad Nelson, advisor Alex Barnett

2012

• Optimal Betting for Fixpoint Solitaire
  Andrew J. Cala, advisor Peter Doyle
• On the Connected Sum of Alternating Virtual Knots
  Gregory S. Elliot, advisor Vladimir Chernov
• Several Strategies to Cope with Negative Weights in the Optimal Portfolio Allocation and Their Implementation
  Paul Lintilhac, advisor Eugene Demidenko
• The Spectral Structure of the Credit Default Swap Market
  Philip Winsor, advisor Dan Rockmore
• Unitary Untouchable Numbers
  Hee-Sung Yang, advisor Carl Pomerance

2011

• Smoothed character sums
  Kamil Adamczewski, advisor Carl Pomerance
• Markov Chain Monte Carlo for Automated Tracking of Genealogy in Microscopy Videos
  Kathleen Champion, advisors Alex Barnett and Amy Gladfelter
• The Kronecker Product of two monomial symmetric functions
  Katherine Roddy, advisor Rosa Orellana

2010

• The average order of elements in the multiplicative group of a finite field
  Yilan Hu, advisor Carl Pomerance
• Semantic analysis of fine-scale structures in the wikipedia network
  Miles Kenyon, advisor Dan Rockmore
• The spatiotemporal dynamics of African Cassava Mosaic Disease
  Zoe Lawrence, advisors Dorothy Wallace and Alex Barnett
• Isospectral surfaces with distinct covering spectra
  Seunghee Ye, advisor Craig Sutton

2009

• Evidence of Four Phases in Discrete Square Packing
  Edward Chien, advisor Peter Winkler
• Equivalents of Failures of the Axiom of Choice
  Tom Kern, advisor Marcia Groszek
• Characterizations of the Forbidden Patterns of Functions
  Yangyang Liu, advisor Sergi Elizalde
• An Extension of the Wheaties Problem
  Jennifer Luong, advisor Peter Doyle
• A Network Approach to Industrial Input-Output Analysis
  Matthew Miller, advisor Dan Rockmore
• Tools for computing the capacitance of the unit cube
  and Laplace eigenfunctions on the sphere
  Yong Su, advisor Alex Barnett
• A Comparative Network Analysis of International Migration and Trade Networks
  Qinggong Wu, advisor Dan Rockmore

2008

• Investigations in Diffuse Optical Tomography
  Chetan Mehta, advisor Alex Barnett
• Characterizing Graphs with Equal Chromatic Symmetric Functions
  Geoffrey S. Scott, advisor Rosa Orellana
• Efficient Hermite Transforms
  Robert Taintor, advisor Dan Rockmore

2006

• Kronecker Product of Schur Functions of Two-Part Partitions
  Laura Brill, advisor Rosa Orellana
• Recovery from Sports Concussion in High School and Collegiate Athletes
  Mike McClincy, advisor Peter Doyle

2005

• Generalization of Torus Homotopy Groups
  Alex Pytel, advisor Martin Arkowitz
• Quantum Groups and Open Problems in Total Nonnegativity
  Neelesh Tiruviluamala, advisor Mark Skandera