Results of REU Research 2018

REU Mini-Conference, July 16-17, 2018

Schedule and Abstracts

Participants, Presentations, and Reports

• Algorithmic Algebraic Geometry Mentors: Prof. J. Maurice Rojas and Yuyu Zhu
  • Lacey Eagan (Howard Payne U): Geometry of Real Roots, with an Eye Toward Chemical Reaction Networks I, slides, report (joint with Lacey Eagan)
  • Luis Feliciano (Hunter College): Geometry of Real Roots, with an Eye Toward Chemical Reaction Networks II, slides, report (joint with Luis Feliciano)
  • Natalie Randall (Austin College): A Faster Randomized Algorithm for Counting Roots in Z/(p^k) I, slides, report (joint with Leann Kopp), paper submitted for publication (by Leann Kopp, Natalie Randall, J. Maurice Rojas, and Yuyu Zhu)
  • Leann Kopp (Auburn U): A Faster Randomized Algorithm for Counting Roots in Z/(p^k) II, slides, report (joint with Natalie Randall), paper submitted for publication (by Leann Kopp, Natalie Randall, J. Maurice Rojas, and Yuyu Zhu)

• Mathematics of Topological Quantum Computation Mentors: Prof. Eric Rowell; Adam Deaton, Paul Gustafson, and Qing Zhang
  • Leslie Mavrakis (Seattle Pacific University), Sydney Timmerman (Johns Hopkins University), and Benjamin Warren (Swarthmore College), in collaboration with Sasha Poltoratski (UC Berkeley): Integral Metapletic Modular Categories I-III, slides
  • David L. Green (UT Austin): On classification of modular tensor categories, slides

• Number Theory Mentors: Prof. Matt Young and Prof. Riad Masri; Jiakun Pan
  • Havi Ellers (Harvey Mudd College) and Meagan Kenney (Bard College): Effective bounds for traces of singular moduli, slides, report
  • Tristie Stucker (U Idaho) and Amy Vennos (Salisbury U): Dedekind Sums Arising form Generalized Eisenstein Series, slides, report