My general research interests lie in commutative algebra. Among others, I am particularly interested in problems related to:
Determinantal ideals;
Gröbner bases and their applications;
Combinatorial commutative algebra;
Frobenius singularities in positive characteristic;
Algebraic statistics, Coding Theory, Post-quantum cryptography.
Blowup algebras from coordinate sections of Hankel matrices. With K. Ansaldi, D. Lira, M. Mostafazadehfard, K. Saloni, preprint, 2025.
Lifting Frobenius splittings through geometric vertex decomposition. With E. De Negri, E. Gorla, P. Klein, J. Rajchgot, submitted, 2025 (arXiv:2509.04364)
The Random Variables of the DNA Coverage Depth Problem. With S. Bodur, S. Lia, H.H. López, R.Ludhani, A. Ravagnani, submitted, 2025 (arXiv:2507.20645)
Moment varieties of the inverse Gaussian and gamma distributions are nondefective. With O.Henriksson, K. Ranestad and T. Yu, Journal of Symbolic Computation, 2024 (arXiv:2409.18421).
Moment varieties from inverse Gaussian and gamma distributions. With O.Henriksson and T. Yu, Algebraic Statistics, 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, Collect. Math., 2023 (arXiv:2304.04898).
Binomial edge ideals of weakly closed graphs. 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)