Posts by Collection

portfolio

publications

Analysis: The Study of Real-Valued and Random-Valued Structures

Published in Book in preparation, 1900

Recommended citation: Eduardo Dueñez, José N. Iovino. "Analysis: The Study of Real-Valued and Random-Valued Structures." (0000).

Random matrix ensembles associated to compact symmetric spaces

Published in Comm. Math. Phys., 2004

Recommended citation: E. Dueñez. "Random matrix ensembles associated to compact symmetric spaces." Comm. Math. Phys.. 244 (1), 29–61. (2004).

“Harder” ensembles of orthogonal matrices

Published in Experiment. Math. (Appendix to S. J. Miller, "Investigations of zeros near the central point of elliptic curve L-functions"), 2006

Recommended citation: E. Dueñez. "“Harder” ensembles of orthogonal matrices." Experiment. Math.. 15 (3), 273–277. (2006).

The low lying zeros of a GL(4) and a GL(6) family of L-functions

Published in Compos. Math., 2006

Recommended citation: E. Dueñez, S. J. Miller. "The low lying zeros of a GL(4) and a GL(6) family of L-functions." Compos. Math.. 142 (6), 1403–1425. (2006).

Incomplete quadratic exponential sums in several variables

Published in J. Number Theory, 2006

Recommended citation: E. Dueñez, S. J. Miller, A. Roy, H. Straubing. "Incomplete quadratic exponential sums in several variables." J. Number Theory. 116 (1), 168–199. (2006).

A public-key threshold cryptosystem based on residue rings

Published in J. Discrete Math. Sci. Cryptogr., 2007

Recommended citation: Stephanie Deacon, Eduardo Dueñez, José N. Iovino. "A public-key threshold cryptosystem based on residue rings." J. Discrete Math. Sci. Cryptogr.. 10 (4), 559–571. (2007).

The effect of convolving families of L-functions on the underlying group symmetries

Published in Proc. London Math. Soc., 2009

Recommended citation: E. Dueñez, S. J. Miller. "The effect of convolving families of L-functions on the underlying group symmetries." Proc. London Math. Soc.. 99 (3), 787–820. (2009).
Download Paper

Roots of the Derivative of the Riemann Zeta Function and of Characteristic Polynomials

Published in Nonlinearity, 2010

Recommended citation: E. Dueñez, D. W. Farmer, S. Froehlich, C. P. Hughes, F. Mezzadri, T. Phan. "Roots of the Derivative of the Riemann Zeta Function and of Characteristic Polynomials." Nonlinearity. 23, 2599–2621. (2010).
Download Paper

The Lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI

Published in Journal of Physics A: Mathematical and Theoretical, 2010

Recommended citation: E. Dueñez, D. K. Huynh, J. P. Keating, S. J. Miller, N. C. Snaith. "The Lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI." Journal of Physics A: Mathematical and Theoretical. 43 (40), 405204 (27 pp). (2010).
Download Paper

A Random Matrix Model for Elliptic Curve L-functions of Finite Conductor

Published in Journal of Physics A: Mathematical and Theoretical, 2012

Recommended citation: E. Dueñez, D. K. Huynh, J. P. Keating, S. J. Miller, N. C. Snaith. "A Random Matrix Model for Elliptic Curve L-functions of Finite Conductor." Journal of Physics A: Mathematical and Theoretical. 45 (11), 115207 (32 pp). (2012).
Download Paper

talks

The Kinematic Method in Geometry.

Published: May 01, 1994

Div, Grad and Curl According to Lie.

Published: November 01, 1994

Card Tricks, de Bruijn Sequences, and Hindu Music.

Published: September 01, 2000

Compact Symmetric Spaces and their associated Matrix Ensembles.

Published: November 01, 2000

Compact Symmetric Spaces and their associated Matrix Ensembles.

Published: February 01, 2001

The Gaudin-Mehta Method and Classical Random Matrix Theory.

Published: February 01, 2001

Breaking Universality in a Family of Circular Ensembles.

Published: May 01, 2001

Random Matrix Ensembles associated to Compact Symmetric Spaces.

Published: August 01, 2001

Random Matrix Ensembles associated to Compact Symmetric Spaces.

Published: November 01, 2001

Do the Cohen-Delaunay-Lenstra Heuristics apply to Quadratic Twists?

Published: December 01, 2001

Random Matrices and Number Theory: A Happy Marriage?

Published: October 01, 2003

Statistical Properties of Energy Levels of Quantum Systems.

Published: February 01, 2004

Counterexample to a Conjecture of Keating and Snaith.

Published: May 01, 2004

The Symmetry Type of Two Families of L-functions.

Published: May 01, 2004

Symmetry Flipping in Families of L-functions.

Published: June 01, 2004

Symmetry Beyond Root Numbers: a GL(6) example.

Published: July 01, 2004

Three Lectures on Number Theory and Random Matrices.

Published: August 01, 2004

Random Matrices: From Quantum Physics to Number Theory.

Published: September 01, 2004

Symmetric Space Ensembles with an Application to Elliptic Curves.

Published: October 01, 2004

Symmetry Beyond Root Numbers.

Published: November 01, 2004

Counterexample to a Conjecture of Keating and Snaith.

Published: April 01, 2005

Random Matrices: A Meeting Point of Multiple Theories.

Published: September 01, 2005

Riemann, Dyson and Schrodinger: Random Matrices in Number Theory.

Published: October 01, 2005

Symmetry in Twisted Families of L-functions.

Published: January 01, 2006

Twists and Functorial Liftings of Families of L-functions.

Published: June 01, 2006

Examples and Conjectures on Convolutions of Families of L-functions.

Published: July 01, 2006

What Dyson Wanted to Tell Schrodinger: Random Matrices in Number Theory.

Published: August 01, 2006

Convolution of Families of GL(2) L-functions.

Published: December 01, 2006

Repulsion of Low Zeros in Families of Elliptic Curves.

Published: May 01, 2007

Finite-Conductor Models for Zeros of Elliptic Curves.

Published: July 01, 2007

An Invitation to Diophantine Geometry.

Published: October 01, 2007

Condensacion de Zeros de Funciones-L de Curvas Elipticas.

Published: October 01, 2007

Low-Lying Zeros of Modular (and Automorphic) L-functions.

Published: March 01, 2008

Derivatives of Zeros of the Riemann Zeta-Function and of Characteristic Polynomials of Random matrices.

Published: April 01, 2008

Derivatives of Zeros of the Riemann Zeta-Function and of Characteristic Polynomials of Random matrices.

Published: July 01, 2008

La Zeta y las L’s: Como se Metieron las Matrices Aleatorias a la Aritmetica?

Published: October 01, 2008

Minicurso de Matrices Aleatorias.

Published: February 01, 2009

Zeros of L-functions and Random Matrices: Two Recent Applications.

Published: October 01, 2010

Funciones Zeta y L: Que son y para que sirven?

Published: November 01, 2010

Funciones Zeta y L: Aplicaciones clasicas y modernas en teoria de numeros.

Published: July 01, 2011

Una invitacion a la teoria de representaciones.

Published: November 01, 2011

Matrices aleatorias y ceros de funciones-L de twists cuadraticos de curvas elipticas.

Published: January 01, 2012

Random Matrices at the Intersection of Number Theory and Lie Groups.

Published: October 01, 2012

Matrices Aleatorias Gaussianas y Circulares.

Published: November 01, 2012

L-Functions and Random Matrices in Classical Compact Groups.

Published: March 01, 2013

Signed Harmonic Series and Quadratic Number Fields.

Published: April 01, 2013

A random matrix model for elliptic curve L-functions of finite conductor.

Published: August 01, 2013

El triángulo de Sierpinski, matrices modulares y aritmética.

Published: February 01, 2014

Some arithmetic problems related to Sierpinski’s Triangle.

Published: March 01, 2014

Families of polynomial mappings between groups.

Published: October 01, 2014

The Mean Ergodic Theorem for Abelian Unitary Actions.

Published: January 01, 2015

Introducción a la Teoría Clásica de Matrices Aleatorias.

Published: October 01, 2015

Convergence of ergodic averages and continuous model theory.

Published: February 01, 2016

The locus of median lines of Sierpinski’s Triangle.

Published: March 01, 2016

From round-robin tournaments and networking events to combinatorial designs.

Published: April 01, 2016

Introducción a la Teoría Clásica de Matrices Aleatorias.

Published: April 01, 2016

Metastable convergence of ergodic averages and continuous model theory.

Published: October 01, 2016

Random matrices and automorphic L-functions: Low-lying zeros and symmetry.

Published: October 01, 2016

Polynomial ergodic descent and uniformly metastable convergence.

Published: January 01, 2017

Uniformly metastable convergence in metric structures.

Published: January 01, 2017

Metastable convergence and ergodic theorems: a continuous logic viewpoint.

Published: June 01, 2017

Ergodic theorems and metastability.

Published: July 01, 2017

Mean convergence of polynomial averages and continuous logic.

Published: September 01, 2017

From round-robin tournaments and networking events to combinatorial designs.

Published: April 01, 2018

Convergencia metaestable y teoremas ergódicos desde la perspectiva de Lógica Continua.

Published: June 01, 2018

Convergencia metaestable y teoremas ergódicos desde la perspectiva de Lógica Continua.

Published: September 01, 2018

Análisis y Lógica Continua.

Published: February 01, 2021

Integration of generalized functions in real-valued structures.

Published: December 01, 2023

Structures of random variables and stability of Orlicz spaces.

Published: December 01, 2023

Real-valued computations: a perspective via topology and model theory.

Published: March 01, 2026

teaching

Vector calculus

Course, The University of Texas at San Antonio, 1999

Linear Algebra

Course, The University of Texas at San Antonio, 2002

Calculus I for Biology and Medicine

Course, The University of Texas at San Antonio, 2002

Calculus II for Biology and Medicine

Course, The University of Texas at San Antonio, 2003

Complex Analysis with Applications

Course, The University of Texas at San Antonio, 2003

Fourier Analysis

Course, The University of Texas at San Antonio, 2004

Random Matrices with Applications

Course, The University of Texas at San Antonio, 2004

Modern Algebra

Course, The University of Texas at San Antonio, 2004

Modern Abstract Algebra

Course, The University of Texas at San Antonio, 2005

Calculus II

Course, The University of Texas at San Antonio, 2005

Complex Variables I

Cross-listed / graduate course, The University of Texas at San Antonio, 2005

Freshman Seminar

Course, The University of Texas at San Antonio, 2005

Foundations of Analysis

Course, The University of Texas at San Antonio, 2006

Calculus III

Course, The University of Texas at San Antonio, 2006

General Topology I

Cross-listed / graduate course, The University of Texas at San Antonio, 2006

Foundations of Analysis

Course, The University of Texas at San Antonio, 2007

Linear Algebra

Course, The University of Texas at San Antonio, 2007

Problem-Solving Seminar

Course, The University of Texas at San Antonio, 2007

Foundations of Mathematics

Course, The University of Texas at San Antonio, 2007