Research

My research interests are mainly in the areas of algebraic geometry and combinatorics. I am currently very interested in toric geometry and horospherical geometry. 

PhD Thesis

(2024) "Horospherical geometry: combinatorial algebraic stacks and approximating rational points".
In: UWSpace: https://hdl.handle.net/10012/20730.
Advisor: Matthew Satriano.

Papers

My papers are on arXiv and listed in Google Scholar. I like to keep the arXiv version of a paper up to date with the published version. 

Published / accepted

1. (2025). "There are no good infinite families of toric codes".
   In: Journal of Combinatorial Theory, Series A (Vol. 213) | arXiv: 2406:00243.
   w/ Jason P. Bell, Matthew Satriano, Karen Situ, Zheng Xie. 

2. (2025). "Horospherical stacks and stacky coloured fans".
   In: Transactions of the American Mathematical Society (Vol. 378) | arXiv: 2305.01571. 

arXiv preprints

3. (2024) "Horospherical varieties with quotient singularities".
   arXiv: 2411.09488 (Submitted). 

4. (2023). "Approximating rational points on horospherical varieties".
   arXiv: 2308.11847 (Submitted).
   w/ Matthew Satriano. 

5. (2023). "An overview of horospherical varieties and coloured fans".
   arXiv: 2305.13558 (Submitted).