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Milton Espinoza

Associate Professor

Universidad de La Serena

La Serena, Chile

Líneas de Investigación


Number theory. Special functions.

Educación

  •  Doctor en Ciencias, mención Matemáticas, UNIVERSIDAD DE CHILE. Chile, 2012
  •  Licenciado en Matemáticas, UNIVERSIDAD DE VALPARAISO. Chile, 2008

Experiencia Académica

  •   Lecturer Part Time

    UNIVERSIDAD DE VALPARAISO

    Valparaíso, Chile

    2011 - 2014

  •   Lecturer Part Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

    Valparaíso, Chile

    2013 - 2014

  •   Postdoctoral researcher Full Time

    UNIVERSITE PIERRE ET MARIE CURIE-PARIS VI

    Paris, Francia

    2015 - 2017

  •   Postdoctoral researcher Full Time

    MAX-PLANCK-INSTITUT FÜR MATHEMATIK

    Bonn, Alemania

    2017 - 2018

  •   Lecturer Part Time

    UNIVERSIDAD DE VALPARAISO

    Valparaíso, Chile

    2018 - 2022

  •   Associate Professor Full Time

    UNIVERSIDAD DE LA SERENA

    La Serena, Chile

    2022 - A la fecha

Formación de Capital Humano


Co-advisor of a MSc student
Graduate work: "Valores especiales de funciones L de Dirichlet generalizadas"
Author: Sebastián Jara
Date of defense: January 2016
Institution: Pontificia Universidad Católica de Valparaíso.


Difusión y Transferencia


SELECTED TALKS

"El cociclo de Barnes-Hurwitz sobre PGL(2,Q)", XXXIV Jornada de Matemática de la zona sur, online, Abril 2022.

"El cociclo de Barnes y funciones zeta sobre cuerpos cuadráticos reales", Seminario latinoamericano de teoría de números, online, Agosto 2020.

"The Barnes cocycle and zeta functions of real quadratic fields", Groupe d'Etude sur les problèmes diophanitens, Université de Paris, Paris - France, Febrero 2020.

"On particular values of certain special functions", Explicit Number Theory, Universidad de Valparaíso, Valparaíso - Chile, Enero 2019.

"Signed fundamental domains for number fields", MPI-Obserseminar, Max-Planck Institut für Mathematik, Bonn - Germany, Diciembre 2017.

"Zeta-integrals and transformation formulas for certain Dirichlet series", Number theory lunch seminar, Max-Planck-Institut für Mathematik, Bonn - Germany, Noviembre 2017.

"A transformation formula for certain zeta integrals", Conference zeta functions 6, The Independent University of Moscow, Moscow - Russia, Diciembre 2016.

"Multiple gamma functions and infinite products", Séminaires de géométrie arithmétique et motivique, Université Paris 13, Paris - France, Diciembre 2016.

"Dominios fundamentales en ciertos cuerpos de números", LXXXI Encuentro de la Sociedad de Matemática de Chile, Olmué - Chile, Noviembre 2012.


Premios y Distinciones

  •   Participation grant. Conference: Automorphic Forms, Advances and Applications

    CENTRE INTERNATIONAL DE RENCONTRES MATHÉMATIQUES

    Francia, 2015

    Participation grant.

  •   Participation grant. Conference: School and Workshop on Computational Algebra and Number Theory

    ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS

    Italia, 2012

    Participation grant.

  •   Participation grant. Conference: Zeta functions 6 (Moscow, Russia)

    Laboratoire de Mathématiques de Besançon

    Francia, 2016

    Participation grant

  •   Postdoctoral fellowship (Beca Chile de postdoctorado en el extranjero)

    COMISION NACIONAL DE INVESTIGACION CIENTIFICA Y TECNOLOGICA

    Chile, 2014

    Two-year research stay in the Université de Paris VI, Paris - France.

  •   Postdoctoral fellowship

    MAX PLANCK SOCIETY

    Alemania, 2016

    One-year research stay in the Max-Planck-Institut für Mathematik, Bonn - Germany. From Feb 1, 2017 until Jan 31, 2018.

  •   Visiting researcher grant

    MAX PLANCK SOCIETY

    Alemania, 2023

    One-month research stay in the Max-Planck-Institut für Mathematik, Bonn - Germany. From Jan 16 until Feb 15, 2023.

  •   Visiting researcher grant

    MAX PLANCK SOCIETY

    Alemania, 2024

    One-month research stay in the Max-Planck-Institut für Mathematik, Bonn - Germany. From Jan 1 until Jan 31, 2025.


 

Article (7)

Group cohomology and lattice invariants over real quadratic fields
Attractor-repeller construction of Shintani domains for totally complex quartic fields
The Barnes-Hurwitz zeta cocycle at s=0 and Ehrhart quasi-polynomials of triangles
The Barnes-Hurwitz zeta cocycle on PGL(2,Q)
On certain zeta integral: Transformation formula
Twisters and signed fundamental domains for number fields
Signed Shintani cones for number fields with one complex place

Proyecto (2)

A generalization of the Barnes-Hurwitz zeta cocycle and lattice invariants over totally real number fields
ALGEBRAIC PROPERTIES OF ZETA FUNCTIONS ATTACHED TO NARROW RAY CLASSES
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Milton Espinoza

Associate Professor

Departamento de Matemáticas

Universidad de La Serena

La Serena, Chile