Results of REU Research 2022

REU Mini-Conference, July 18, 2022
Schedule and Abstracts

Probability and algebra Mentor: Prof. Jeffrey Kuan
- Olivia Burke (Hillsdale College): Type D ASEPs: Generators and Duality
- Danyil Blyschak (CUNY Baruch College): Investigating Markov Duality Using Techniques from Probability and Algebra
- Sasha Ustilovsky (Emory) and Dennis Li (Carnegie Mellon): Proving Markov Duality Algebraically
Number theory Mentor: Prof. Matt Young
- Jessica Wang (Worcester Polytechnic Institute) and Preston Tranbarger (Texas A&M): Fast Computation of Generalized Dedekind Sums (slides, report)
- Mitch Majure (U Iowa): Hecke operators on newform Dedekind sums and applications (slides, report)
- Ariadne McClure (Washington U St. Louis) and Kimberly Herrera (UC Berkeley): Three Term Relations for Newform Dedekind Sums (slides, report)
Algorithmic algebraic geometry Mentor: Prof. Maurice Rojas
- Garrett Credi (U Illinois Urbana Champaign): Efficient Point Counting on Curves: Methods and Applications (slides, report)
- Casmali Lopez (Colorado College) and Paisios Woodcock (Texas A&M): Binomials and Pseudo-Random Generators (slides, report)
- Ellen Chlachidze (U Michigan Ann Arbor): Approximating Discriminant Contours of Univariate Tetranomials (slides, report)
- Zachary Nunez (U Alabama Huntsville): Average Case Asymptotics of Polynomial Systems Supported on Tetrahedral Circuits (slides, report)

Group photo (July 2022)
Whole group in 2022