Results of REU Research 2021

Participants, Presentations, and Reports

• Probability and algebra Mentors: Prof. Jeffrey Kuan; Zhengye Zhou
  • Lauren Neudorf (Northeastern University) and Emily Bosche (Saint Vincent College): Calculating the Correlation Kernel along Space-Like Paths, slides, report
  • Ray Shang (Harvard): Random Interacting Particle Systems and Central Elements of U(sp_2n), slides, report
• 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)