Mixed volumes, sparse resultants and residues in the torus. Slides of a talk given at SIAM AG 2023, Eindhoven, July 2023
Subresultants and the Shape Lemma. Slides of a talk given at FoCM 2023, Paris, June 2023
Kernel of matrices of bivariate polynomials. Slides of a talk given at II Encuentro RSME-UMA, Ronda, Spain, December 2022
Innovació docent a àlgebra lineal. Slides ( .pdf ) of a talk given at Jornadas Docentes del Departamento de Matemàtica i Informàtica UB, Barcelona, June 2022
Subresultants and the Shape Lemma. Slides
of a talk given at MEGA 2022, Krakow, Poland, June 2022
Cotas de grado para mu-bases de superficies paramétricas. Slides and video
of a talk given online at
virtUMA 2020,
Buenos Aires, Argentina, September 2020
Bounds for degrees of minimal mu-bases of parametric surfaces. Slides and
video
of a talk given online at
ISSAC 2020,
Kalamata, Greece, July 2020
Ill-posed points for the Rational Interpolation Problem. Slides
of a talk given at the
6th Iberian Mathematical Meeting, Santiago de Compostela, Spain, October 2016
Sparse Resultants. Slides
of a talk given at the Math & Stats Colloquium, Georgia State University, Atlanta, December 2015
Moving curve ideals of rational plane parametrizations. Slides
of a talk given at the Commutative Algebra Seminar, Georgia State University, Atlanta, December 2015
Problemes de Viatjants (Spanish). Slides
of a talk given at the ESCOLAB 2016, Barcelona, October 2015
Ideales de curvas móviles y su interacción con el diseño asistido por computadoras. Slides
of a talk given at the University of Buenos Aires and the University of Cordoba (Argentina), September 2015
Sparse resultants: initial forms, vanishing coefficients, homogeneities and generalized Macaulay formulas. Slides
of a talk given at the MEGA 2015 Conference Trento, Italy, June 2015
Quantitative equidistribution of algebraic points in the N-dimensional torus. Slides
of a talk given at the Congreso de la RSME 2015, Granada, Spain, February 2015
The Rees Algebra of some monomial parametrizations. Slides
of a talk given at the ACA 2014 conference, New York, July 2014
Hilbert's Nullstellensatz and polynomial dynamical systems. Slides
of a talk given at the EACA 2014 conference, Barcelona, June 2014
Moving surfaces ideals of rational parametrizations. Slides
of a talk given at the Conference on Computer Algebra and Polynomials, Linz, Austria, November 2013
Formulas in interpolation. Slides
of a talk given at the SIAM AG Meeting, Fort Collins, CO, USA, August 2013
Minimal generators of the defining ideal of the Rees Algebra associated to a rational plane parametrization with mu=2. Slides
of a talk given at the MEGA 2013 Conference, Frankfurt, Germany, June 2013
Rational plane curves with mu=2. Slides and video
of a talk given at the workshop Algebraic Geometry and Geometry Modeling, Banff, Canada, January 2013
El álgebra lineal detrás de los buscadores de internet /
L'àlgebra lineal és darrere dels cercadors d'internet
(Spanish) /
(Catalan).
Notes of the Opening Lecture at the School of Mathematics, University of Barcelona, September 2012
El álgebra lineal detrás de los buscadores de internet (Spanish). Slides
of the Opening Lecture at the School of Mathematics, University of Barcelona, September 2012
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Slides
of a talk given at the IV Congreso Latinoamericano de Matemáticos, Córdoba, Argentina, August 2012
Juegos matemáticos y análisis de estrategias ganadoras (Spanish). Notes
of a minicourse given at "Reunion de Educación Matemática", Córdoba, Argentina, August 2012
El álgebra lineal detrás de Google (Spanish). Slides
of a talk given at "Primer Encuentro Nacional de Estudiantes de Matemática", Corrientes, Argentina, July 2012
Quantitative equidistribution for the solutions of systems of sparse polynomial equations. Slides
of a talk given at the SIAM Conference on Applied Algebraic Geometry, Raleigh, NC, October 2011
Rational plane curves parameterizable by conics. Slides
of a talk given at the Congreso de la RSME, Avila, January 2011
On the distribution of the roots of
sparse systems of polynomial equations. Slides
of a talk given at the Toric Geometry Seminar 2010, Jarandilla de la Vera, Spain, November 2010
Height of varieties and arithmetic Nullstellensatz. Slides
of a talk given at EACA, Santiago de Compostela, Spain, July 2010
Computing minimal generators of the Rees Algebra associated to some rational parametrizations. Slides
of a talk given at EACA, Santiago de Compostela, Spain, July 2010
Computing singularities of rational plane curves. Slides
of a talk given at IMPA, Rio de Janeiro, Brazil, July 2010
Singular factors of rational plane curves. Slides
of a
talk given at Castro Urdiales,Spain, May 2010
Effective Hilbert's
Nullstellensatz. Slides
of a
talk given at Georgia State University, Atlanta, December 2009
Distribución de raíces de
sistemas de ecuaciones polinomiales. Slides
of a
talk given at the University of Buenos Aires, December 2008
Subresultants in multiple
roots. Slides
of a
talk given at INRIA Sophia Antipolis, France, November 2008
Computing the Newton polygon of
offsets to plane algebraic curves. Slides
of a
talk given at FOCM, Hong Kong, June 2008
Tropical Implicitization of
Algebraic Plane Curves. Slides of a
talk given
in Genoa, Italy, May 2008
Implicitación
a la Newton Puiseux (Spanish). Slides
of a talk given
in Alcalá de Henares, Spain, April 2008
The Newton
polygon of a
rational plane curve. Slides
of a
talk
given in Sophia Antipolis, France, November 2007
Sylvester's
double sum: the
general case. Slides
of a talk
given in Strobl, Austria, June 2007
Bézout's
Theorem and
Implicitization. Slides
of a talk
given at the Institute of Mathematics and its Applications,
Minneapolis, USA, June 2007
Un teorema de Frobenius sobre
el rango y la signatura de una forma cuadrática real (Spanish). Notes
of a class given at the University of Barcelona, July 2009
Cálculo de
raíces reales de
polinomios (Spanish). Notes
of a
course given at Universidad
Nacional del Nordeste, Argentina, August 2006
Algoritmos
en matemática
elemental (Spanish).
Slides of a
talk given at Universidad del Nordeste, Argentina, August 2006
Resultants
and Subresultants:
univariate vs multivariate case. Notes
and slides of a talk given
at the Winter
School of
Commutative Algebra, Universitat de Barcelona, January 2006
Sucesiones
Linealmente
Recurrentes (Spanish). Notes
of a
course given at Universidad del Nordeste, Argentina, November
2005
Cómo
triangular ecuaciones
(Spanish). Notes of a talk
given in "Primer
Semana de la Matemática"
organized by CBC, Universidad de Buenos Aires, 2000
