SAM EVERETT'S PERSONAL WEBSITE
ABOUT ME
I am a third-year Ph.D. student studying theoretical computer science at The University of Chicago. I am advised by David Cash and supported by an NSF Graduate Research Fellowship. My main research area is complexity theory (mathematical logic more broadly), especially its applications in dynamical systems and other areas of mathematics.
My email is the concatenation of sam and e with @uchicago.edu.
PAPERS
Mathematics.
Last four papers are undergraduate papers.
- Deciding subspace reachability problems with application to Skolem's Problem.
arXiv. - Computing periodic points on Veech surfaces, (with Z. Chowdhury, S. Freedman, D. Lee).
Geom. Dedicata (2023). arXiv. - A geometric dynamical system with relation to billiards.
J. Math. Sci. Univ. Tokyo (to appear). arXiv. - Long and short periodic billiard trajectories in the regular pentagon, (with V. Lin, A. Mager).
arXiv. - A piecewise contractive map on triangles.
J. Dyn. Syst. Geom. Theor. (2020). arXiv.
Applications of Mathematics.
- On the use of dynamical systems in cryptography.
Chaos Solitons Fractals (2024). arXiv.
TALKS
- A geometric dynamical system with relation to polygonal billiards. USC Dynamical Systems Seminar, September 2021.
