Research
My general research interests lie in commutative algebra. Among others, I am particularly interested in problems related to:
Determinantal ideals;
Binomial edge ideals of graphs and determinantal facet ideals of simplicial complexes;
Gröbner bases and their applications;
Frobenius singularities in positive characteristic;
Algebraic statistics.
Publications
Moment varieties from inverse Gaussian and gamma distributions. With O.Henriksson and T. Yu, 2023 (arXiv:2312.10433).
Ladder determinantal varieties and their symbolic blowups. With A. De Stefani, J. Montaño, L. Núñez-Betancourt, and M. Varbaro, submitted, 2023 (arXiv:2305.18167).
Connected domination in graphs and v-numbers of binomial edge ideals. With D. Jaramillo-Velez, accepted in: Collect. Math., 2023 (arXiv:2304.04898).
Binomial edge ideals of weakly closed graphs. Accepted in: Int. Math. Res. Not. IMRN, 2022 (arXiv:2208.10749).
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals. With B. Benedetti and M. Varbaro, Adv. Appl. Math., vol. 141, 2022., (arXiv:2101.09243v2).
Knutson ideals of generic matrices. Proc. Amer. Math. Soc., vol. 150, no.5, 1967--1973, 2022, (arXiv:2101.06496).
Knutson ideals and determinantal ideals of Hankel matrices. Journal Pure Appl. Algebra, vol. 225, no. 12, 2021 (arXiv:2003.14232v2)