Evan Nash
nash.228 (at) osu.edu
I am a fifth-year Ph.D. student at the Ohio State University studying under
Gary Kennedy.
My thesis focuses on finding and extending connections between tropical geometry and spherical varieties.
I also co-founded (with Kevin Nowland) the Mathematics Graduate Student Association at Ohio State.
CV
Publications and Preprints
- Global spherical tropicalization via toric embeddings
arXiv
This is part of my dissertation research.
- The maximum likelihood degree of toric varieties (with C. Améndola, N. Bliss, I. Burke, C. Gibbons, M. Helmer, S. Hoşten, J. Rodriguez, and D. Smolkin)
arXiv | Journal of Symbolic Computation (2018)
This was completed as part of an MRC in algebraic statistics under Serkan Hoşten and Jose Rodriguez.
It was a wonderful experience; if you have the chance to be part of an MRC I highly recommend it. Nathan's GitHub page has code for some of the algorithms we used.
- The convex hull of two circles in $\mathbb{R}^3$ (with A. Pir, F. Sottile, and L. Ying)
arXiv | Combinatorial Algebraic Geometry, Fields Institute Communications Vol. 80 (2017)
This book project grew out of the
Apprenticeship Program
led by Bernd Sturmfels. Check out Frank's website for some cool visualizations of convex hulls.
- Tropicalizing spherical embeddings
arXiv
This is part of my dissertation research.
- Betti tables of reducible algebraic curves (with J. Bruce, P. Kao, B. Perez, and P. Vermeire)
arXiv | Proceedings of the American Mathematical Society (2014)
This was completed as part of an REU at Central Michigan University under Pete Vermeire.
- Extremal graphs without 4-cycles (with F. Firke, P. Kosek, and J. Williford)
arXiv | Journal of Combinatorial Theory, Series B (2013)
This was completed as part of an REU at the University of Wyoming under Jason Williford.