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

Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids with Michael Cuntz and Jean-Philippe Labbé. Annals of Combinatorics, 2021, 10.1007/s00026-021-00555-2, Package available here

Rational Ehrhart Theory with Matthias Beck and Sophie Rehberg, To appear in Proceedings of the 34th International Conference FPSAC 2022

Multivariate volume, Ehrhart, and h*-polynomials of polytropes with Marie-Charlotte Brandenburg and Leon Zhang, to appear in the Journal of Symbolic Computation Special Issue for MEGA 2021

Preprints

Techniques in Equivariant Ehrhart Theory with Donghyun Kim and Mariel Supina, 2022