Real-valued computations: a perspective via topology and model theory.
Research Talk, Special Session on Ergodic Theory and Topological Dynamics (ISQGD-SS14), International Society for Quantization, Topology and Dynamics, March 2026.,
Talks and presentations
Structures of random variables and stability of Orlicz spaces.
Research Talk, CMS Winter Meeting (Toronto), Dec 2023.,
Integration of generalized functions in real-valued structures.
Research Talk, Fields Institute (Toronto), Dec 2023.,
Análisis y Lógica Continua.
Research Talk, Seminario FAMAT/DEMAT, Universidad de Guanajuato, Feb 2021.,
Convergencia metaestable y teoremas ergódicos desde la perspectiva de Lógica Continua.
Research Talk, Universidad de Colima, Sep 2018.,
Convergencia metaestable y teoremas ergódicos desde la perspectiva de Lógica Continua.
Research Talk, Casa Matemática Oaxaca (Mexico), June 2018.,
From round-robin tournaments and networking events to combinatorial designs.
Outreach Talk / Short Course, Morehouse College. Atlanta, GA, April 2018.,
Mean convergence of polynomial averages and continuous logic.
Research Talk, AMS Sectional Meeting, University of Central Florida (Orlando, FL), September 2017.,
Ergodic theorems and metastability.
Research Talk, Mathematical Congress of the Americas. Montreal (Canada), July 2017.,
Metastable convergence and ergodic theorems: a continuous logic viewpoint.
Research Talk, Simposio Latinoamericano de Logica y Modelos. Puebla (Mexico), June 2017.,
Uniformly metastable convergence in metric structures.
Research Talk, Joint Mathematics Meeting (Atlanta), January 2017.,
Polynomial ergodic descent and uniformly metastable convergence.
Research Talk, Joint Mathematics Meeting (Atlanta), January 2017.,
Random matrices and automorphic L-functions: Low-lying zeros and symmetry.
Research Talk, SACNAS National Conference. Long Beach, CA, October 2016.,
Metastable convergence of ergodic averages and continuous model theory.
Research Talk, National Security Agency, Ft. Meade, MD, October 2016.,
Introducción a la Teoría Clásica de Matrices Aleatorias.
Outreach Talk / Short Course, 5-hour course at Centro de Investigación en Matemáticas, Merida, Mexico, April 2016.,
From round-robin tournaments and networking events to combinatorial designs.
Outreach Talk / Short Course, Columbus State University, Columbus, GA, April 2016.,
The locus of median lines of Sierpinski’s Triangle.
Research Talk, MAA Southeastern Section Conference, University of Alabama at Birmingham, March 2016.,
Convergence of ergodic averages and continuous model theory.
Research Talk, Georgia Tech, February 2016.,
Introducción a la Teoría Clásica de Matrices Aleatorias.
Outreach Talk / Short Course, 5-hour course at Universidad Autónoma de Sinaloa, Mexico, October 2015.,
The Mean Ergodic Theorem for Abelian Unitary Actions.
Research Talk, Joint Mathematics Meeting. San Antonio, January 2015.,
Families of polynomial mappings between groups.
Research Talk, SACNAS national conference. Los Angeles, October 2014.,
Some arithmetic problems related to Sierpinski’s Triangle.
Research Talk, University of Texas at Austin, March 2014.,
El triángulo de Sierpinski, matrices modulares y aritmética.
Outreach Talk / Short Course, SIDIM at Ponce, Puerto Rico. February 2014.,
A random matrix model for elliptic curve L-functions of finite conductor.
Research Talk, Mathematical Congress of the Americas. Guanajuato, Mexico, August 2013.,
Signed Harmonic Series and Quadratic Number Fields.
Outreach Talk / Short Course, Conference of the STMC (South Texas Mathematics Consortium). April 2013.,
L-Functions and Random Matrices in Classical Compact Groups.
Research Talk, Purdue University, March 2013.,
Matrices Aleatorias Gaussianas y Circulares.
Outreach Talk / Short Course, 7-hour course at "Escuela de Matrices Aleatorias", CIMAT, Mexico, November 2012.,
Random Matrices at the Intersection of Number Theory and Lie Groups.
Research Talk, SACNAS National Conference, October 2012.,
Matrices aleatorias y ceros de funciones-L de twists cuadraticos de curvas elipticas.
Research Talk, Encuentro conjunto RSME-SMM. Malaga, Spain. January 2012.,
Una invitacion a la teoria de representaciones.
Research Talk, Universidad Pedagogica y Tecnologica de Tunja, Colombia, November 2011.,
Funciones Zeta y L: Aplicaciones clasicas y modernas en teoria de numeros.
Research Talk, Universidad Nacional de Colombia, July 2011.,
Funciones Zeta y L: Que son y para que sirven?
Research Talk, University of Colima, Mexico, November 2010.,
Zeros of L-functions and Random Matrices: Two Recent Applications.
Research Talk, U. T. Austin, October 2010.,
Minicurso de Matrices Aleatorias.
Outreach Talk / Short Course, 7-hour course. "Metodos Estocasticos en Sistemas Dinamicos". CIMAT, Mexico, February 2009.,
La Zeta y las L’s: Como se Metieron las Matrices Aleatorias a la Aritmetica?
Research Talk, XLI Congreso de la Sociedad Matematica Mexicana, October 2008.,
Derivatives of Zeros of the Riemann Zeta-Function and of Characteristic Polynomials of Random matrices.
Research Talk, X CNTA, Waterloo, July 2008.,
Derivatives of Zeros of the Riemann Zeta-Function and of Characteristic Polynomials of Random matrices.
Research Talk, Texas AM University, April 2008.,
Low-Lying Zeros of Modular (and Automorphic) L-functions.
Research Talk, 22nd Annual Workshop on Automorphic Forms and Related Topics, March 2008.,
Condensacion de Zeros de Funciones-L de Curvas Elipticas.
Research Talk, XL Congress of the Mexican Mathematical Society, UANL, October 2007.,
An Invitation to Diophantine Geometry.
Outreach Talk / Short Course, XL Congress of the Mexican Mathematical Society, Monterrey, October 2007.,
Finite-Conductor Models for Zeros of Elliptic Curves.
Research Talk, The Banff International Research Station (BIRS), July 2007.,
Repulsion of Low Zeros in Families of Elliptic Curves.
Research Talk, Number Theory Fest at the University of Illinois at Urbana-Champaign, May 2007.,
Convolution of Families of GL(2) L-functions.
Research Talk, Texas AM University, December 2006.,
What Dyson Wanted to Tell Schrodinger: Random Matrices in Number Theory.
Research Talk, Instituto de Matemáticas, UNAM. Morelia (Mexico), August 2006.,
Examples and Conjectures on Convolutions of Families of L-functions.
Research Talk, IX CNTA, Vancouver, July 2006.,
Twists and Functorial Liftings of Families of L-functions.
Research Talk, Progress in Random Matrix Theory and Number Theory, University of Rochester, June 2006.,
Symmetry in Twisted Families of L-functions.
Research Talk, Joint Mathematics Meeting, San Antonio, January 2006.,
Riemann, Dyson and Schrodinger: Random Matrices in Number Theory.
Research Talk, National Congress of the Mexican Mathematical Society, Mexico City, October 2005.,
Random Matrices: A Meeting Point of Multiple Theories.
Outreach Talk / Short Course, Trinity University, San Antonio, September 2005.,
Counterexample to a Conjecture of Keating and Snaith.
Research Talk, The 2005 Conference on Automorphic Forms and Related Topics, University of North Texas, April 2005.,
Symmetry Beyond Root Numbers.
Research Talk, The University of Texas at Austin, November 2004.,
Symmetric Space Ensembles with an Application to Elliptic Curves.
Research Talk, The Pennsylvania State University, October 2004.,
Random Matrices: From Quantum Physics to Number Theory.
Research Talk, University of Texas at San Antonio colloquium, September 2004.,
Three Lectures on Number Theory and Random Matrices.
Outreach Talk / Short Course, The Ohio State University, August 2004.,
Symmetry Beyond Root Numbers: a GL(6) example.
Research Talk, Isaac Newton Institute (U.K.), July 2004.,
Symmetry Flipping in Families of L-functions.
Research Talk, Isaac Newton Institute (U.K.), June 2004.,
The Symmetry Type of Two Families of L-functions.
Research Talk, American Mathematical Society Eastern Meeting, Lawrenceville, NJ, May 2004.,
Counterexample to a Conjecture of Keating and Snaith.
Research Talk, Centre de Recherches Mathematiques (University of Montreal, Canada), May 2004.,
Statistical Properties of Energy Levels of Quantum Systems.
Research Talk, Augusta State University, Augusta, GA, February 2004.,
Random Matrices and Number Theory: A Happy Marriage?
Research Talk, The Ohio State University, October 2003.,
Do the Cohen-Delaunay-Lenstra Heuristics apply to Quadratic Twists?
Research Talk, The West Coast Number Theory Conference, Asilomar, December 2001.,
Random Matrix Ensembles associated to Compact Symmetric Spaces.
Research Talk, Stanford University, November 2001.,
Random Matrix Ensembles associated to Compact Symmetric Spaces.
Research Talk, Centre de Recherches Mathematiques (University of Montreal, Canada), August 2001.,
Breaking Universality in a Family of Circular Ensembles.
Research Talk, The American Institute of Mathematics, May 2001.,
The Gaudin-Mehta Method and Classical Random Matrix Theory.
Research Talk, The Institute for Advanced Study, February 2001.,
Compact Symmetric Spaces and their associated Matrix Ensembles.
Research Talk, The Johns Hopkins University, February 2001.,
Compact Symmetric Spaces and their associated Matrix Ensembles.
Research Talk, Mathematisches Forschungsinstitut Oberwolfach, Germany, November 2000.,
Card Tricks, de Bruijn Sequences, and Hindu Music.
Outreach Talk / Short Course, The McGraw Hill Center for Teaching and Learning (Princeton University), September 2000.,
Div, Grad and Curl According to Lie.
Research Talk, National Congress of the Mexican Mathematical Society, Morelia, Mexico, November 1994.,
The Kinematic Method in Geometry.
Outreach Talk / Short Course, UNAM, Mexico City, May 1994.,