# Results of REU Research 2021

### Participants, Presentations, and Reports

**Probability and algebra**Mentors: Prof. Jeffrey Kuan; Zhengye Zhou**Number theory**Mentors: Prof. Matt Young and Prof. Riad Masri; Agniva Dasgupta- Annika Mauro (Stanford) and Tanis Nielsen (Harvey Mudd): The distribution of short orbits of singular moduli, slides, report
- Emily Van Bergeyk (Azusa Pacfic University) and Alexis LaBelle (High Point University): Reciprocity and the Kernel of Dedekind Sums, slides, report on ArXiv

**Algorithmic algebraic geometry**Mentors: Prof. Maurice Rojas; Weixun Deng and Joshua Goldstein- Erick Boniface (NC State University): Solving trinomials quickly over the real numbers, slides, report
- Elliott Fairchild (Harvard): Solving trinomials over Q_p, slides, report
- Kaiwen Lu (University of Michigan): Value sets and periodic points for trinomials of the form cx^d + x + a over F_p, slides, report
- Lisa Soule (University of Nevada, Reno): Counting Real Roots of Tetranomials Faster via A-discriminants, slides, report

Group photo (July 2021)