# Results of REU Research 2023

## REU Mini-Conference, July 24-25, 2023

Schedule and Abstracts

### Participants, Presentations, and Reports

**Algebraic Methods in Mathematical Biology**Mentor: Prof. Anne Shiu- Michaela Thompson (Fairfield University): Identifiability of Linear Compartmental Model Parameter Subsets (slides)
- Katherine Clemens (Bryn Mawr College): Analyzing Eleven Bistable Gene Regulatory Networks for Hopf Bifurcations (slides)
- Jonathan Martinez (U Southern California): Understanding the Properties, Operations, and Identifiability Degree of One-Input/One-Output Mammillary Models (slides)

**Algorithmic algebraic geometry**Mentor: Prof. J. Maurice Rojas- Faith Ellison (Southern University A&M): Computing Isotopy Types of Zero Sets of Circuit Polynomials (slides, report)
- Cydnee Evans (Texas A&M University): Counting and Finding Real Roots of Trinomials (slides, report)
- Vaishali Miriyagalla (Bowdoin College): Developing a New Tool for Modeling the Topology of Zero Sets of Near-Circuit Polynomials (slides, report)

**Number theory**Mentor: Prof. Matt Young- Georgia Corbett (Bucknell): Extremal values of newform Dedekind sums
- Elena De Leon (Texas Woman's University) and Wade McCormick (UC Berkeley): The Image of Newform Dedekind Sums attached to Quadratic Characters

**Probability and algebra**Mentor: Prof. Jeffrey Kuan

Group photo (July 2023)