About me
I am a Postdoctoral Fellow at UAM-I through the SECIHTI program Estancias Posdoctorales por México. Previously, I was a Postdoctoral Fellow at CCM through the SECIHTI Project CF-2023-G-33. In december 2024 I obtained my Ph.D. at CIMAT under direction of Luis Núñez-Betancourt. In 2020 I completed my Masters degree at UANL under direction of Lilia Alanís-López and Luis Núñez-Betancourt.
In my free time I enjoy dancing, playing board games, gardening, and working out.
Research interests
My area of research is focused in commutative algebra, in particular I am interested in combinatorial commutative algebra, binomial edge ideals, F-singularities, symbolic powers and Groebner deformations. I am also interested in computational aspects of commutative algebra, and in the connections between commutative algebra and other areas of mathematics such as graph theory, topology, and probability.
CV
Here is a link to my CV.
Publications
“Connectedness of square-free Groebner deformations” (with Lilia Alanís-López and Luis Núñez-Betancourt). Proc. Amer. Math. Soc. 150 (2022), no. 4, 1405-1419.
“On the symbolic F-splitness of binomial edge ideals”. J. Pure Appl. Algebra. 229 (2025), no. 5 https://doi.org/10.1016/j.jpaa.2025.107922
Preprints
“Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings” (with Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey, Karl Schwede, and Prashanth Sridhar). arxiv:2509.07217 (2025).
Some recorded talks
“A determinantal example”. F-singularities course, CIMAT (2024).
“Potencias simbólicas y potencias ordinarias”. Seminario de estudiantes, CIMAT (2023).
Contact information
For research related inquiries, feel free to contact me at pedro.ramirez@cimat.mx.