Kyle Huang

Masters student at Freie University Berlin. My research interests are smooth polytopes, toric geometry, K-theory, discrete geometry, and algebraic topology.

Email: krhuang5@gmail.com

GitHub: https://github.com/krhuang

Last Update: 18.03.24

SmoothGeneration

As part of my Master's Thesis I implemented a novel algorithm to generate all smooth 3-polytopes with <= 31 lattice points (previous work went to 16). The data and the codebase can be found on the GitHub repository

Publications

• C. Florez, J. Higgins, K. Huang, T. Keller, D. Shen, The prime graphs of some classes of finite groups, J. Pure Appl. Algebra 226 (2021), no. 7, 10.1016/j.jpaa.2021.106990
• C. Florez, J. Higgins, K. Huang, T. Keller, D. Shen, The Adjacency Spectra of Some Families of Minimally Connected Prime Graphs. Minimal Prime Graphs of Solvable Groups, to appear in Involve, arXiv:2011:08938
• C. Florez, . Higgins, K. Huang, T. Keller, D. Shen, Minimal Prime Graphs of Solvable Groups, 2020 (preprint) arXiv:2011.08938

Talks/Poster Presentations

• "Topologies on the Moduli Space of Delzant Polytopes" at the 2023 Chow Lectures
• "What is... a semialgebraic set?" (Video)
• "McMullen's Polytope Algebra", at the MIT Talbot 2022 Conference
• "Type Cones and the Volume Polynomial"
• "Spanning Lattice Polytopes and the Uniform Position Principle"
• "Semigroup Rings, Toric Ideals, and their Groebner Bases"
• "Anisotropicity and Leftchetz Elements"
• "Two Notions of Prime Graph Minimality", at the Young Mathematicians Conference