Sophia Elia
My email: sophiasageelia (at) gmail.com
I am currently working as an FPGA Developer focused on digital signal processing at Keysight Technologies in Santa Rosa, California.
In March 2022, I completed my Ph.D. in mathematics as a student of the Discrete Geometry and Discrete Algebraic Geometry groups at the Freie Universität Berlin.
Here is my CV.
My advisors were Christian Haase and Jean-Philippe Labbé.
I was a student of the Berlin Mathematical School and was funded through the Facets of Complexity research training group. My research was in discrete geometry and algebraic combinatorics. I had projects to study equivariant Ehrhart theory, combinatorial properties of simplicial hyperplane arrangements, and Ehrhart theory in tropical geometry. I did my Bachelors in mathematics at the University of California, Berkeley.
Publications
Techniques in Equivariant Ehrhart Theory with Donghyun Kim and Mariel Supina. Annals of Combinatorics, 2023, DOI:10.1007/s00026-023-00673-z
Rational Ehrhart Theory with Matthias Beck and Sophie Rehberg,Integers, 2023, DOI: 10.5281/zenodo.8283127, url: https://math.colgate.edu/~integers/x60/x60.pdf
Multivariate volume, Ehrhart, and h*-polynomials of polytropes with Marie-Charlotte Brandenburg and Leon Zhang, to appear in the Journal of Symbolic Computation, 2023, DOI: 10.1016/j.jsc.2022.04.011
On Three Ehrhart Theories & Simplicial Hyperplane Arrangements Freie Universitaet's Refubium, Dissertation. 2022, DOI: 10.17169/refubium-34540
Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids with Michael Cuntz and Jean-Philippe Labbé. Annals of Combinatorics, 2021, DOI: 10.1007/s00026-021-00555-2, Package available here