Reports 2021

Each student wrote a report on their research project, and below we list the student researchers, the title of their report, and their mentor. The underlined titles provide links to pdfs of the reports. Some students also gave talks at REU Vir(tu)al Conference hosted by UConn this summer, and clicking on video next to their title will take you to a YouTube recording of their talk.

Justin Bailey Cyclic Sieving for Block Factorizations of the Long Cycle + video (mentored by Theo Douvropoulos)

Genglin Liu Demystifying The Spectral Bias of Overparameterized Deep Neural Networks + video (mentored by Yulong Lu)

Vivek Chakrabhavi Summarizing Recent Developments Regarding Candidates For Exotic Definite Four-Manifolds (mentored by Inanc Baykur)

Viviene Do Juggling Poset for initial and terminal state 1^k + video (mentored by Laura Colmenarejo)

Cory Eckhart Metaplectic Analogues of MacDonald Polynomials in the A2 Lattice (mentored by Paul Gunnells)

Maura Hegarty The Generalized Pitman-Stanley Polytope and Flow Polytopes + video (mentored by Alejandro Morales)

Jiaxi Tian Lie Algebra Cohomology of Hamiltonian Vector Fields (mentored by Chris Elliott)

Sheikh Saqlain The phenomenology of moving defects in some non-linear media (mentored by Panayotis Kevrekidis and Mithun Thudiyangal)

Caleb Meredith Neural Network Fokker-Planck Solver + video (mentored by Yao Li)

Dayishaa Daga Using cs-fMRI visualization and General Linear Modeling to detect cortical hemodynamic activity, video (mentored by Maryclare Griffin)

Audrey Rosevear Seiberg-Witten Theory and the Minimal Genus Problem + video (mentored by Weimin Chen)

Skandesh Subramaniam Zero Dispersion Limit for the Camassa-Holm Equation (mentored by Siddhant Agrawal)

Jack Champagne Group-Equivariant Convolutional Neural Networks, video (mentored by Wei Zhu)

Ariel Lutati Stock Volatility Predictions Using The GARCH and EGARCH Models (mentored by Hongkun Zhang)

Jaileen Baptista Women in Calculus: A Case Study on Stereotype Threat and Self-Efficacy in a Large Calculus Classroom (mentored by Adena Calden)

Yiquan Xiao Credit Card Fraud Detection Using SMOTE and Ensemble Method (mentored by Jinguo Lian)

Pranav Garg Asymptotics for Algebraic Generating Functions + video (mentored by Mark Wilson)

Parikshita Gya Using nonlinear ODEs to model the Covid-19 pandemic + video (mentored by Panayotis Kevrekidis, Qian-Yong Chen, and Michael Barmann)