# 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

Algorithmic Algebraic Geometry

Mathematics of Topological Quantum Computation

Number Theory

Everybody