I am a fifth year mathematics PhD student and NSF Graduate Research Fellow at UC Davis happy to be working with Jesús De Loera.
Starting Fall 2024, I will be a Hermann Weyl Instructor at ETH Zurich.
I study the interaction between algebraic and geometric combinatorics and optimization. I'm particularly interested in the behavior of the simplex method.
I also perform stand up comedy, but I suspect if you're here, it's because of the math.
Small Shadows of Lattice Polytopes Alexander E. Black SODA 2023
INFORMS 2022 George Nicholson Paper Competition Finalist
The Polyhedral Geometry of Pivot Rules and Monotone PathsarXiv:2201.05134 Alexander E. Black, Jesús De Loera, Niklas Lütjeharms,
and Raman Sanyal SIAM Journal on Applied Algebra and Geometry (SIAGA), 2023
Monotone Paths on Cross-polytopesarXiv:2102.01237 Alexander E. Black and Jesús De Loera Discrete and Computational Geometry, 2023
Fair Splittings by Independent Sets in Sparse GraphsarXiv:1809.03268 Alexander E. Black, Umur Cetin, Florian Frick, Alexander Pacun, and Linus Setiabrata Israel Journal of Mathematics, 2020
Preprints
Linear Programs Where Every Shadow Simplex Path is Exponentially Long arXiv:2403.04886 Alexander E. Black
Preprint, 2024
On the Circuit Diameter Conjecture for Counterexamples to the Hirsch Conjecture arXiv:2302.03977 Alexander E. Black, Steffen Borgwardt, and Matthias Brugger
Preprint, 2023
