Research

Preprints

Root bounds of vertical systems using tropical geometry with Elisenda Feliu, Paul Helminck, Yue Ren, Benjamin Schröter, Máté Telek (2026).
Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets with Paul Breiding, John Cobb, Aviva Englander, Nayda Farnsworth, Jonathan Hauenstein, David Johnson, Jordy Lopez Garcia, Deepak Mundayur (2026).
A flux-based approach for analyzing the disguised toric locus of reaction networks with Balázs Boros, Gheorghe Craciun, Jiaxin Jin and Diego Rojas La Luz (2025).
Toric invariance of vertically parametrized systems with Elisenda Feliu (2024).
A tropical method for solving parametrized polynomial systems with Yue Ren and Paul Helminck (2024).

Peer-reviewed papers

The generic geometry of steady state varieties with Elisenda Feliu and Beatriz Pascual-Escudero. To appear in SIAM Journal on Applied Algebra and Geometry (2026).
Moment varieties of the inverse Gaussian and gamma distributions are nondefective with Kristian Ranestad, Lisa Seccia and Teresa Yu. Journal of Symbolic Computation 132 (2026).
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks with Carlos Améndola, Jose Israel Rodriguez and Polly Y. Yu. Journal of Mathematical Biology 91, 34 (2025).
Generic consistency and nondegeneracy of vertically parametrized systems with Elisenda Feliu and Beatriz Pascual-Escudero. Journal of Algebra 677 (2025).
Moment varieties from inverse Gaussian and gamma distributions with Lisa Seccia and Teresa Yu. Algebraic Statistics 15, 2 (2024).
3D genome reconstruction from partially phased Hi-C data with Diego Cifuentes, Jan Draisma, Annachiara Korchmaros and Kaie Kubjas. Bulletin of Mathematical Biology 86, 33 (2024).

Ongoing projects

Tropical root counting in reaction network theory and beyond
Extended loci of toric dynamics for reaction networks
Pseudo witness sets for computing compliments of discriminants
Nearest point problems on moment varieties

Expository notes