ORCID: 0000-0002-2171-9829       ResearcherID: AAA-3396-2019

Research interests

Algebraic and analytic geometry, singularities and invariants, valuation theory, toric geometry.


Publications

  1. Resolving singularities of curves with one toric morphism (with P. D. González Pérez and H. Mourtada).
    Math. Ann. (2022). DOI, ArXiv 2110.11276.
  2. Valuations and henselization (with B. Teissier).
    Math. Ann. 377, 935–967 (2020). DOI, ArXiv 1903.10793.
  3. Topology of spaces of valuations and geometry of singularities.
    Trans. Amer. Math. Soc. 371, no. 5 (2019): 3593-3626. ArXiv 1711.03909.
  4. Łojasiewicz exponents and Farey sequences (with E. García Barroso, J. Gwoździewicz and A. Płoski).
    Rev. Mat. Complut. 29 (2016), no.3, 719-724. ArXiv 1511.08846.
  5. On the homeomorphism type of some spaces of valuations.
    C. R. Acad. Sci. Paris, Ser. I 353 (2015) 541–544.


PhD. Thesis

Topology of spaces of valuations and geometry of singularities.
Universidad de La Laguna (Spain) and Université Paris Diderot-Paris 7 (France), Sep. 2015.
Advisors: Evelia R. García Barroso and Bernard Teissier.
More information and PDF file.


Member of the research groups:

GASIULL (Universidad de La Laguna).
RGAS.
SINGACOM (Universidad de Valladolid).