Past Projects

2023-2024

Mentees: Arron Bui,

Charlie Diaz

Mentor: Jonathan Engle

Mathematical Modeling of Social Dynamics

Mentees: Wonmin Song,

Ryan Scott

Mentor: Savvas Sardelis

The Theory of Optical Thermodynamic

Mentee: Jenny Petrova

Mentor: Yue Shen

Fast graph-based algorithms for analyzing networks

Mentee: Jingwen Zhou,

Max Varela Torres

Mentor: Jonathan Valyou

Exploration of Nonnegative Matrix Factorization and Regularization in Music

Mentee: Ayotuntosimi Loye

Mentor: Franquiz Caraballo Alba

A Stroll Through the Algebro-Geometric Landscape

Mentee: Connor Brown

Mentor: Shirin Provat

Solving ODE/PDE using artificial Neural Networks

Mentee: Tyler Goldman

Mentor: Jonathan Schillinger

Conformal Mapping Visualization

Mentee: Pietro Candiani,

Alexander Khan

Applications of Machine Learning in Finance

Mentor: Md Arafatur Rahman

Mentee: Jeremiah Hockaday

Mentor: Nicholas Ossi

Combinatorial Game Theory

Mentee: Sophie Allen,

Samuel Vecchio

Mentor: Emmanuel Hartman

Geometric Deep Learning for Partial Matching of Shape Graphs

2022-2023

Mentee: Reagan Bourne

Mentor: Jonathan Valyou

Utilizing convolutional neural networks to visualize health care data

Mentee: Ian Bridges

Mentor: Jonathan Schillinger

Topics in group theory

Mentee: Dylan Connell

Mentor: Emmanuel Hartman

An object-oriented implementation of unbalanced optimal transport using clone metrics

Mentee: Ethan Hacker

Mentor: Alex White

A fractal analysis of music

Mentee: Alexandra Harris

Mentor: Tristen Jackson

Modeling infection dynamics of listeria monocytogenes

Mentee: Desiree Jones

Mentor: Nicole Bruce

Modeling infectious disease with airborne transmission

Mentee: Jeremiah Hockaday

Mentor: Nicholas Ossi

Solitons and the inverse scattering transform

Mentee: Sage Quillen

Mentor: Azaryah Wilson

Numerical solutions of stochastic differential equations

Mentee: Ayotuntosimi Loye

Mentor: Abdullah Malik

Simplicial sets are Chu spaces

Mentee: Evan Rowbotham

Mentor: Farez Siddiqui

Using Monte Carlo reinforcement learning to solve blackjack