🧑🔬 Invited conference and workshop speaker
2025
Morfismos finitos de superficies normales y sus funciones zeta motı́vicas y topológicas.
Eighth Mini-Workshop IMAC-SINGACOM in La Plana: Current directions in Singularities and Algebraic geometry.
Castellón de la Plana, November, 2025.
Slides
Poles of motivic and topological zeta functions for finite morphisms of normal surfaces.
Plenary talk at
Moduli, Hilbert Schemes and Singularities.
Cluj-Napoca/Kolozsvár, September, 2025.
Slides
Motivic and p-adic zeta functions on singular varieties.
9th annual Meeting of the Spanish Network for Algebraic Geometry and Singularity Theory (RGAS).
Madrid, January, 2025.
Slides
2024
Effective methods for computing the Bernstein-Sato polynomial of a meromorphic function.
Seventeenth International Conference Zaragoza-Pau on Mathematics and its Applications.
Jaca, September, 2024.
2023
Counting points with Riemann-Roch formulas.
Presentation of the
Award by the Real Academia de Ciencias Exactas,
Físicas, Químicas y Naturales de Zaragoza.
University of Zaragoza, Nov. 2023.
Slides
Cyclic coverings of reducible normal fake quadrics.
Plenary talk at the
115AM,
Algebraic and topological interplay of algebraic varieties,
a conference in honor of the 60th birthday of Enrique Artal and the 55th birthday of Alejandro Melle,
Jaca, June, 2023.
Slides
Video
2022
Monodromy conjecture and zeta functions via resolution of singularities.
Singularity theory and geometric topology.
Research Institute for Mathematical Sciences, Kyoto Univ. (Japan), Oct. 2022.
Slides
An overview of the algorithms for computing the Bernstein-Sato polynomial.
Singularity theory and geometric topology.
Research Institute for Mathematical Sciences, Kyoto Univ. (Japan), Oct. 2022.
Slides
Motivic integration and zeta functions on Q-Gorenstein varieties.
Congreso Bienal de la Real Sociedad Matemática Española.
Ciudad Real (Spain), January, 2022.
Slides
2019
Motivic zeta functions on Q-Gorenstein varieties.
UIC Singularity Workshop.
University of Illinois at Chicago (USA), June, 2019.
2018
The correction term for the Riemann-Roch formula of normal surface singularities.
Workshop on algebra and geometry (singularities and graded algebras).
Univ. Jaume I, Castellón (Spain), June, 2018.
2017
Cyclic branched coverings on singular varieties.
4o Congreso de Jóvenes Investigadores de la Real Sociedad Matemática Española (RSME).
Valencia (Spain), September, 2017.
Cyclic branched converings on orbisurfaces and Esnault and Viehweg's theorem revisited.
Congreso bienal de la RSME,
Saragossa (Spain), February, 2017.
2016
On the 2-Jordan blocks for the eigenvalue λ = 1 of isolated singularities.
Second Joint Conference of the Belgian, Royal Spanish and Luxembourg Math Societies.
Univ. La Rioja (Spain), June, 2016.
2015
Bloques de Jordan de singularidades de Yomdin-Lê de superficie.
Congreso Real Sociedad Matemática Española.
Granada (Spain), February, 2015.
2014
On the Jordan blocks of monodromy of Yomdin-Lê Surface Singularities.
Plenary talk at the
Third International Workshop on Zeta Functions in Algebra and Geometry.
CIMAT, Guanajuato (Mexico), September, 2014.
El Algoritmo CheckRoot de Singular.
Tercer Encuentro Conjunto de la RSME y la SMM.
Zacatecas (Mexico), August, 2014.
Forma de Jordan compleja de la monodromía de singularidades de Yomdin.
Tercer Encuentro Conjunto de la RSME y la SMM.
Zacatecas (Mexico), August, 2014.
2013
Semistable reduction of a Q-normal crossing divisor.
III Singular Workshop in Zaragoza.
Saragossa (Spain), July, 2013.
Central characters, Bernstein-Sato polynomials and associated stratifications.
MEGA 2013: Effective Methods in Algebraic Geometry.
Frankfurt am Main (Germany), June, 2013.
2011
Hodge Theory of the Milnor fiber via Q-resolutions.
II Singular Workshop in Zaragoza.
Saragossa (Spain), December, 2011.
Monodromy Zeta Function Formula for Embedded Q-Resolutions.
Iberian Meeting on Algebraic Analysis and Geometry.
Lisbon (Portugal), September, 2011.
A'Campo's Formula and Lefschetz Numbers in Terms of an Embedded Q-Resolution.
Congreso de Jóvenes Investigadores RSME.
Soria (Spain), September, 2011.
Constructive D-module theory and applications.
2nd DEAM Workshop on Differential Equations by Algebraic Method.
Johannes Kepler University (Austria), February, 2011.
2010
Introduction to D-module Theory: Algorithms for Computing Bernstein-Sato Polynomials.
Plenary talk at the
Fourth International Workshop on Differential Algebra and Related Topics.
Beijing (Chine), Oct. 2010.
2009
Constructive D-module Theory with Singular.
MEGA 2009: Effective Methods in Algebraic Geometry.
Universitat de Barcelona (Spain), June, 2009.
Graded betti number of the logarithmic derivation module.
Rencontre Pau-Zaragoza d’Algèbre et Géométrie.
Pau (France), May, 2009.
2008
An Introduction to D-module Theory. The Bernstein-Sato polynomial.
Tenth International Conference Zaragoza-Pau on Applied Maths and Statistics.
Jaca (Spain), September, 2008.
The 3-dimensional planar assignment problem and the number of Latin squares related to an autotopism.
Encuentro de Álgebra Computacional y Aplicaciones.
Granada (Spain), September, 2008.
New algorithms and implementation for computational D-module theory.
ACA 08, Applications of Computer Algebra, AADIOS session.
Hagenberg (Austria), July, 2008.
2007
An algorithm for checking whether a given rational number is a root of the b-function. Applications.
First French-Spanish Mathematical Congress.
Saragossa (Spain), July, 2007.
2006
Algorithmic treatment of slopes in irregular D-modules.
Special Semester on Gröbner Bases and Related Methods.
Linz (Austria), May, 2006.
🧑🏫 Invited seminar and course speaker
2022
Milnor fibration.
Course (2.5h) at Jibiri Seminar IV: Topology of Algebraic Varieties and algebraic & topological aspects of Complex Networks.
University of Zaragoza, June, 2022.
Soluciones de f=0 módulo n con integración motívica.
Seminario Rubio de Francia.
Instituto de Matemáticas y Aplicaciones de la Universidad de Zaragoza, February, 2022.
2018
Resolving some surface singularities with weighted blow-ups.
Seminar of Algebraic Geometry at the Universitat Politècnica de Catalunya (UPC).
Barcelone, March, 2018.
Counting the number of solutions modulo a prime and related invariants.
Seminar at the LehrstuhlD für Mathematik of RWTH.
Aachen (Germany), February, 2018.
2016
Computer Algebra and D-module theory.
Course (10h) at the EACA International School on Computer Algebra and its Applications,
IMUS, Seville (Spain), January, 2016.
2015
Monodromy of an isolated singularity using embedded resolutions and quotient singularities.
Course (8h) at the Mathematical Research Centre (CIMAT).
Zacatecas (Mexico), June, 2015.
Birational Geometry with quotient singularities.
Colloquium at the Mathematical Research Centre (CIMAT).
Guanajuato (Mexico), June, 2015.
2014
Introduction to resolution of singularities.
Course (4h) at the Lehrstuhl D für Mathematik of RWTH.
Aachen (Germany), June, 2014.
2013
Singularities and D-modules via Bernstein-Sato polynomials.
Colloquium of the graduate school of Lehrstuhl D für Mathematik.
RWTH Aachen University (Germany), December, 2013.
Resolving Yomdin-Lê Surface Singularities.
Seminar at the Department of Algebra.
University of Seville (Spain), April, 2013.
2012
Semistable reduction of a normal crossing Q-divisor.
Seminar at the Department of Algebra.
Seville (Spain), September, 2012.
Simplifying embedded resolutions allowing quotient singularities.
Seminar at the University of Kaiserslautern.
Kaiserslautern (Germany), June, 2012.
Computing invariants in singularity theory by means of embedded Q-resolutions.
Seminar Experimentelle und konstruktive Algebra at RWTH.
Aachen (Germany), June, 2012.
Cohomología de la fibra de Milnor y monodromía.
Seminar at the University of Saragossa - IUMA.
Saragossa (Spain), May, 2012.
2009
Bernstein-Sato Polynomial of Affine Algebraic Varieties.
Seminar at the Lehrstuhl D für Mathematik of RWTH.
Aachen (Germany), October, 2009.
Singularities and D-module Theory.
Seminar at the Lehrstuhl D für Mathematik of RWTH.
Aachen (Germany), October, 2009.
2007
The monodromy of an isolated singularity.
Course (5h) at the Department of Mathematics.
University of Zaragoza (Spain), November, 2007.
On the computation of the Bernstein-Sato polynomials.
Sommerschule (2h) Algorithmic D-module theory.
Kleinwalsertal (Austria), September, 2007.
2008
Enhancing the classical algorithm by Oaky.
Seminar at the Lehrstuhl D für Mathematik of RWTH Aachen University.
Aachen (Germany), January, 2008.
2006
Sudoku and system of polynomial equations. Gröbner bases.
Seminar at the Department of Mathematics.
Saragossa (Spain), May, 2006.
2005
Sudoku and Gröbner bases.
Seminar at the Department of Algebra.
University of Seville (Spain), December, 2005.
🗺️ Posters
2011
Weighted Projective Spaces.
Encuentro en Teoría de Grupos y sus Aplicaciones en honor a Javier Otal.
IUMA - Universidad de Zaragoza (Spain), June, 2011.
2008
On the varieties of representations and characters of a family of onerelator groups. Their irreducible components.
XV Encuentro de Topología.
Universitat Jaume I (Spain), September, 2008.
New advances in the study of Gröbner bases and the number of Latin squares related to autotopisms.
Conferencia Internacional sobre Álgebra Conmutativa, Combinatoria y Computacional en honor a Pilar Pisón Casares.
University of Seville (Spain), February, 2008.
2006
Gröbner fun.
ICM 2006: International Congress of Mathematicians.
Madrid (Spain), August, 2006.
