Research interests
Commutative Algebra, Algebraic Geometry and Singularity Theory. Local Algebra in Positive Characteristic.
Publications
- Limit F-invariants of the simple singularities and the Fermat hypersurfaces, preprint, arXiv. 2026.
- Strong Watanabe–Yoshida conjecture for complete intersections, preprint, arXiv. 2025.
Invited Talks
- EPFL, Facets of Frobenius derived invariants (Bernoulli Center), Lausanne, Switzerland. Sep 2026. The Hilbert–Kunz multiplicity of diagonal hypersurfaces.
- University of the Basque Country, Algebra Seminar, Bilbao, Spain. Mar 2026. On the Watanabe–Yoshida conjecture.
- University of Michigan, CA Seminar, Michigan, USA. Nov 2025. On the Strong Watanabe–Yoshida conjecture.
- University of Illinois in Chicago, AG Seminar, Illinois, USA. Nov 2025. The Strong Watanabe–Yoshida conjecture for complete intersections.
- Purdue University, CA Seminar, Indiana, USA. Oct 2025. The Strong Watanabe–Yoshida conjecture for complete intersections.
- Universidad de Sevilla, RGAS School on Singularities, Seville, Spain. Jan 2024. Hilbert–Kunz theory in characteristic 2.
- ICMAT, 5th BYMAT Conference, Madrid, Spain. Nov 2023.
- Universidad Complutense de Madrid, XVI Workshop de Jóvenes Investigadores, Madrid, Spain. Sep 2022. The 2875 lines within a general quintic hypersurface of projective 4-space.
Visits
- Research Stay, Purdue University, Indiana, USA. Aug–Dec 2025. Host: Uli Walther
Posters
- CAAG in Milan, Milan, Italy. Jul 2026. Linkage and the Watanabe–Yoshida conjecture.
- Singularities in Algebra and Geometry Conference (CIMAT), Guanajuato, Mexico. Jun 2025. The Strong Watanabe–Yoshida conjecture for complete intersections.
Organization
- Organizer of Parallel Session AL07 “Singularity Theory”, VII Congreso de Jóvenes Investigadores de la RSME (University of the Basque Country), Bilbao, Spain. Jan 2025.
Other talks
- F-invariants and F-singularities, interactions, Purdue Grad student seminar, Indiana, USA. 2025.
- Prehistory of Commutative Algebra. Noether, Hilbert and Noether., Light PhD Seminars, BCAM, Bilbao, Spain. Dec 2024.
Conferences and courses
- Simons School on Higher Dimensional Varieties, Rényi Institute, Budapest, Hungary. Oct 2026.
- KUMUNU 2025, University of Missouri, Columbia, USA. Oct 2025.
- Sheaf Cohomology Course, Zaragoza, Spain. Nov 2024.
- IberoSing International Workshop 2023, Granada, Spain. Nov 2023.
- BCAM-Severo Ochoa Course: Introduction to multiplicity theory, BCAM, Bilbao, Spain. Apr 2023. Lecturer: Ilya Smirnov (BCAM-Ikerbasque).
- IberoSing International Workshop 2022, Madrid, Spain. Nov 2022.
- BCAM-Severo Ochoa Lecture: Introduction to Morse Homology, BCAM, Bilbao, Spain. Oct 2022. Lecturer: María Pe Pereira (Universidad Complutense de Madrid).