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Patricio Almirón Cuadros

Personal de apoyo a la investigación (Predoctoral Fellow)
Department of Algebra, geometry and topology
School of Mathematical Sciences
Complutense University of Madrid
Grupo Singular
Spanish Network of Algebraic Geometry and Singularities (RGAS)

 

Bio

I obtained my PhD in Mathematics in the Singular Group at Complutense University of Madrid under the supervision of María Alberich-Carramiñana  and Alejandro Melle-Hernández . I have done a 1 month research stay at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, México, and a 2 months research stay at Technische Universität Kaiserslautern in Kaiserslautern, Germany.  My main interests are about singularities of curves, using techniques of algebraic geometry, commutative algebra and topology and also numerical semigroups. I focus my study in two areas: analytic invariants of planar curves and morphisms and numerical semigroups and its combinatorics.

Besides that, I am also interested in the dissemination of mathematics and in the history, philosophy and ethics of mathematics, as I think mathematics play a role to contribute to building a more open, diverse and tolerant society.

I strongly believe that the mathematics of the twenty-first century are more than ever an area where teamwork is necessary. In order to build new collaborations, to enlarge your research lines, or just to have a better understanding of what is going on in our field, the creation of spaces where the exchanging of ideas can be realized is crucial. As a consequence I co-organize several activities in this direction.

Currently, I am an organizer of the Iberosing online seminar.

 

Research interests

Algebra, geometry and topology. Deformations of isolated singularities. Analytic and topological invariants of isolated singularities. 

 

Latest Publications

  • P. Almirón Cuadros, Buscando problemas en McDonald's, Boletín del IMI, Nº35 (3 de febrero de 2022), Sección "1+400. Divulgación con 1 imagen y 400 palabras". Link 
  • P. Almirón, On the quotient of Milnor and Tjurina numbers for two-dimensional isolated hypersurface singularities. Mathematische Nachrichten, 2022, pp. 1–10. https://doi.org/10.1002/mana.202100371
  •  P. Almirón,  J. J. Moyano-Fernández, Supersymmetric gaps a numerical semigroup with two generators. Communications in Algebra, 2022, volumen 50,  issue 10, pp. 4252-4268. https://doi.org/10.1080/00927872.2022.2058521
  • P. Almirón, M. Schulze, Limit spectral distribution for non-degenerate hypersurface singularities.Comptes Rendus. Mathématique, 2022, 360, pp. 699-710.22222.  https://doi.org/10.5802/crmath.335
  • P. Almirón, J.J Moyano-Fernández. Eliahou number, Wilf function and concentration of a numerical semigroup, Quaestiones Mathematicae, 2022, DOI: 10.2989/16073606.2022.2041126
  • P. Almirón. The 4/3 problem for germs of isolated plane curve singularities. In Extended Abstracts GEOMVAP 2019. Birkhäuser. Trends in Mathematics. 2021, 15, 139-143. https://doi.org/10.1007/978-3-030-84800-2_23
  • P. Almirón, J. J. Moyano-Fernández. A formula for the conductor of a semimodule of a numerical semigroup with two generators. Semigroup Forum. 2021, 103, 278–285. https://doi.org/10.1007/s00233-021-10182-1
  • M. Alberich-Carramiñana, P. Almirón, G. Blanco, A. Melle-Hernández. The minimal Tjurina number of irreducible germs of plane curve singularities. Indiana University Mathematics Journal. 2021, 70, 4, 1211–1220. https://www.iumj.indiana.edu/IUMJ/Preprints/8583.pdf