Serious Curriculum Vitae

MALORS EMILIO ESPINOSA LARA

In transition from one work to the next!

To be updated.

Personal

Date of Birth: February 22, 1989

Birthplace: Mexico City

Citizenship: MEXICAN

Education

Ph.D in Mathematics: Department of Mathematics, University of Toronto, Canada.

Dissertation: Explorations on Beyond Endoscopy

Supervisor: Dr. James Arthur

Graduation Date: 6th April 2022.

Master of Science: Department of Mathematics, University of Toronto, Canada.

Graduation Date: 9th November 2016.

BS in Mathematics: School of Mathematics, University of Guanajuato, Mexico

Dissertation Title: Twisted Spin Structures

Supervisor: Dr. Rafael Herrera

Graduation Date: 31st March 2014

Languages Spoken

Spanish (native), English

Primary Research Interests

Langlands Program, Trace Formula, Automorphic Forms. Number Theory.

Employment

Postdoctoral Fellow, Department of Mathematics, University of Toronto, July 2022 – September 2025

Research Assistant of Dr. Victor Pérez Abreu, CIMAT, August – December 2014. 

Publications and Preprints

  1. Knots and Coxeter Groups, with Dylan Burke, Geoffrey Cuff-Chartrand, Mateusz Kazimierczak and Mohammadamin Mobedi, Submitted
  2. Knots inside Fractals, with Joshua Broden, Noah Nazareth and Niko Voth, Submitted.
  3. Zeta Functions of Certain Quadratic Orders, Journal of Number Theory, Volume 252, November 2023, p. 379 – 404
  4. The Multiplicative Formula of Langlands for Orbital Integrals in GL(2), Annales mathématiques du Québec, September 2025
  5. Beyond Endoscopy via Poisson Summation for GL(2, K), with Melissa Emory, Debanjana Kundu, Tian An Wong, Submitted
  6. Explorations on Beyond Endoscopy, Thesis, University of Toronto 2022
  7. Homología Persistente, Conference Notes in Spanish, CIMAT Topological Data Analysis Research Project
  8. Spinorially Twisted Spin Structures, I: Curvature Identities and Eigenvalue Estimates, with Rafael Herrera, Differential Geometry and its Applications , Volume 46, June 2016, Pages 79 – 107

Undergraduate and Highschool Outreach and Research Projects

Fields Undergraduate Summer Research Program: On Field Extensions of Nonarchimedean Local Fields and Local Langlands Correspondence, Summer 2023

Program Webpage

Co-supervised with Daniel Johnstonne and Camelia Karimianpour

Students: Shreya Dhar, River Newman, Grayson Plumpton, Chenglu Wang

This project focused on the problem of finding a complete classification of cubic extensions of local fields.

Students submitted a paper based on this work: Arxiv

Mathematics Department Mentorship Program: Knots in Coxeter Complexes, University of Toronto, January – July 2023

Students: Dylan Burke, Geoffrey Cuffchartrand, Amin Mobedi

This project focused on constructing knots as galleries associated to words in affine Coxeter systems of rank three. We studied the properties of the words associated to the knots they produce.

Students presented two talks in the 2023 Canadian Undergraduate Mathematical Conference at University of Toronto .

Mathematics Department Mentorship Program: Knots and Fractals, University of Toronto, January – July 2022

Students: Joshua Broden, Noah Nazareth, Niko Voth

This project focused on determining which knots can be embedded in successive iterations of certain fractals as the Menger sponge and the Sierpinsky Tetrahedron

Students presented two talks and one poster in the 2022 Canadian Undergraduate Mathematical Conference at Laval University.

Quanta Magazine wrote an article based on this project. You can see it here: Quanta.

Awards and Fellowships

F. V. Atkinson Teaching Award, Awarded by the Department of Mathematics, University of Toronto, 2023

International Graduate Student Scholarship, Awarded by the Department of Mathematics, University of Toronto. June 2019

Blyth Fellowship, Awarded by the Department of Mathematics, University of Toronto. June 2019

University of Toronto Fellowship – Tuition Award 2016 – 2020

First Place Sotero Prieto Award to the Best Mexican Undergraduate Thesis in Mathematics for the year 2014

Bronze Medal XIII Iberoamerican Mathematical Olympiad, 2010.

Honourable Mention 49th International Mathematical Olympiad, Madrid, Spain, July 2008.

Bronze Award XX Asian Pacific Mathematics Olympiad, Korean Mathematical Society, 2008.

Teaching

Undergraduate Teaching

  • MAT334: Complex Variables, Fall 2024, Winter 2025
  • MAT301: Introduction to Group Theory, Winter 2024
  • MAT315: Introduction to Number Theory, Winter 2023, Fall 2023, Winter 2025
  • MAT244: Ordinary Differential Equations, Fall 2022, Fall 2021
  • MATC44: Introduction to Combinatorics, Scarborough campus, online course, Winter
    2021
  • MAT327: Introduction to Topology, online courses, Summer 2022, Summer 2020
  • MAT135 H1S Calculus 1, Winter 2020

High School Outreach Courses

  • Fractals and Dynamics, Highschool Extracurricular Math Course, University of Toronto,
    Summer 2022
  • Perspectives in Diophantine Equations, Highschool Extracurricular Math Course, Univer-
    sity of Toronto, Summer 2021
  • Predictability in Mathematics, Highschool Extracurricular Math Course, University of
    Toronto, October – December 2020
  • Math Academy for High School Students: Theoretical Mathematics and the World of Data,
    University of Toronto, July 2020, August 2020
  • Math Training for CMC Top 25 Students: Introduction to Generating Functions, University
    of Toronto, Summer 2020,
  • Classification in Mathematics, Highschool Extracurricular Math Course, University of
    Toronto, May – June 2020
  • Math Academy for High School Students: Introduction to Algebraic Number Theory, Out-
    reach Math Department, University of Toronto, August 2019
  • Math Academy for High School Students: Introduction to Fractals, University of Toronto,
    March 2019
  • Another face of mathematics, With Dr. Gil Bor, CIMAT, Mexico, March-June, 2010

Professional Activities

Seminar and Event Organization

  • Number Theory and Representation Theory Seminar, Department of Mathematics, Uni-
    versity of Toronto, Academic Year 2023-2024
  • Beyond Endoscopy Mini Conference, Fields Institute, April 27 – 28, 2023.
  • FEST 2021: A week of talks to celebrate mathematics in Spanish, Online event, Mexico,
    December 2021
  • FEST 2020: A week of talks to celebrate mathematics in Spanish, Online School on Math-
    ematics, Mexico, December 2020
  • Christmas Talks, Queen’s University, Kingston Ontario, December 2015

Administrative

  • President of the Mathematics Graduate Student Association, Department of Mathematics
    University of Toronto, September 2017 – April 2019.

Talks and Short Courses

  • Approximating a Mystery, AMS Sectional Meeting, University of Texas, San Antonio,
    September 2024.
  • Beyond Endoscopy for GL(2, K) via Poisson Summation, Canadian Number Theory As-
    sociation, Conference, Fields Institute, June 2024.
  • Beyond Endoscopy for GL(2, K) via Poisson Summation, Beyond Endoscopy Mini Con-
    ference, Fields Institute, April 27 – 28, 2023.
  • Beyond Endoscopy of GL(2, K), Spring Western Sectional Meeting, AMS Online Event,
    May 14 -15, 2022
  • Zeta functions of orders and the multiplicative formula of Langlands, Number Theory
    Seminar, Department of Mathematics, University of Toronto, Fall 2021
  • A Potpurri of Trivial Contributions, Number Theory Seminar, Department of Mathematics,
    University of Toronto, Fall 2019
  • Persistent Homology, Short Course, Christmas Talks, Queen’s University, Kingston On-
    tario, December 2015
  • Persistent Homology, School on Topological Data Analysis, CIMAT, Guanajuato Mexico,
    January 2015.
  • Persistent Homology, Short Course, Mexican National Congress of Mathematics, Du-
    rango , Mexico, November 2014
  • Arithmetic of Calabi-Yau threefolds of Borcea-Voisin Type (With Alexander Molnar, Ash-
    wath Rabindranath, Junho Peter Whang), Final Report Presentation, Fields Research
    Summer Program for Undergraduate Students, Fields Institute, Toronto, Canada, Sum-
    mer 2013

Participation in Meetings, Conferences and Workshops

  • Beyond Endoscopy for GL(2, K), Trace Formula, Endoscopic Classification and Beyond: the Mathematical Legacy of James Arthur, Fields Institute, Toronto, Ontario, August 2025.
  • Basic Functions, Orbital Integrals, and Beyond Endoscopy, Online event, Banff Interna-
    tional Research Station, November 14 – 19, Banff, Alberta, Canada
  • On the Langlands Program: Endoscopy and Beyond, Institute for Mathematical Sciences,
    National University of Singapore, Singapore, 17 December 2018- 18 Januray 2019
  • Sixth Abel Conference: A Mathematical Celebration of Robert P. Langlands, Institute for
    Mathematics and its Applications, Minneapolis, MA, USA, November 2018
  • 10th Minimeeting on Differential Geometry, CIMAT, Guanajuato, Mexico, December 2017
  • Functoriality and the Trace Formula, American Institute of Mathematics, San Jose, Cali-
    fornia, USA, December 2017
  • 7th Minimeeting on Differential Geometry, CIMAT, Guanajuato, Mexico, February 2015
  • 1st School on Topological Data Analysis, Mexican National Mathematics Congress 2014,
    University of Durango, Durango, Mexico
  • 6th Minimeeting on Differential Geometry, CIMAT, Guanajuato, Mexico, December 2013
    1st School on Knot Theory and 3-Manifolds, CIMAT, Guanajuato, Mexico, December 2013
  • 2013 Fields Undergraduate Summer Research Program, Fields Institute, Toronto, Ontario,
    July – August 2013
  • 5th Minimeeting on Differential Geometry, CIMAT, Guanajuato, Mexico. December 2012.
  • Conference Cycle on Algebraic Geometry, Center of Mathematical Sciences UNAM,
    Morelia Campus, 2012