Dr. Jonathan Toledo Toledo

✉ jtt [@] math.cinvestav.mx
✉ jtt [@] knights.ucf.edu

Areas of interest

  • Commutative algebra
  • Combinatorial algebra
  • Algebraic geometry

Experience

  • Departamento de Matemáticaas, University of Central Florida (2019-2021)
  • Instituto de Matemáticas, UNAM FORDECyT (2018-2019)

SNI

  • Candidato

Academic background:

  • PhD student
    Departamento de Matemáticas, Cinvestav-IPN
    Topic: Commutative algebra and Combinatorial algebra
    Advisor: Dr. Enrique Reyes Espinoza
  • Master of Science in Mathematics
    Departamento de Matemáticas, Cinvestav-IPN
    February 23, 2012
    Thesis: Associated Primes of powers of edges ideals of graphs
    Advisor: Dr. Rafael H. Villarreal Rodríguez
  • BS in Physics and Mathematics, ESFM-IPN
    May 21, 2010
    Thesis: Valuations Theory applied to locally compact fields
    Advisor: Dr. Pablo Lam Estrada
  • Colegio de Bachilleres Oaxaca States Campus 02 "El Espinal"
    Mathematical Physical Area specializing in computer
    June, 2005

Distinctions

Second place "National Math Contest Pierre Fermat, 2007.

Honorable mention "National Math Contest Pierre Fermat", 2006

Second place "3rd. Regional Mathematics Olympiad”, 2003.

Scholarships

Scholarship for doctoral study, Conacyt. 2012-2015.

Scholarship for masters study, Conacyt. 2010-2012.

Telmex Scholarship. 2006-2009.

Publications

  • Jonathan Toledo. The strong persistence property and symbolic strong persistence property, Czechoslovak Mathematical Journal.
  • Jonathan Toledo. Symbolic strong persistence property under monomial operations and strong persistence property of cover ideals, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Tome 64 (112)/2021, Issue no. 2, pages 105-131.
  • Yuriko Pitones, Enrique Reyes, Jonathan Toledo. "Monomial ideals of weighted oriented graphs", The Electronic Journal of Combinatorics, 26, Issue 3 (2019).
  • Enrique Reyes, Jonathan Toledo. "On the strong persistence property for monomial ideals", Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie 60 (108), Issue no. 3, 2017, pag. 293-305.

Reviewer

  1. Rocky Mountain Journal of Mathematics, USA.
  2. Mathematics Bulletin, Department of Mathematics of the National University of Colombia.

Conferences

Lecturer:

  • Ideales de aristas de graficas orientadas pesadas
    Seminario del Instituto de Matemáticas
    April 13, 2018, UNAM Oaxaca, México.
  • Strong persistence property for monomial ideals
    Graduate Student Meeting on Applied Algebra and Combinatorics
    March 22-24, 2018. Osnabrück, Alemania.
  • Edge ideals of weighted oriented graphs
    Southwest Local Algebra Meeting
    February 24 to 25, 2018. Universidad de Arkansas USA.
  • Strong persistence property for monomial ideals
    Combinatorial Algebra Meets Algebraic Combinatorics- Fifteenth annual Meeting
    January 24-26, 2018. McMaste University, Hamilton, On, Canadá.
  • Ideales de aristas de gráficas orientadas pesadas
    Aquelarre matemático 2017, Facultad de Ciencias UNAM
    November 10, 2017. México.
  • La propiedad de persistencia fuerte para ideales monomiales
    Jornadas de Matemáticas, Cinvestav-IPN
    November 22, 2016. México.
  • Charla motivacional a los estudiantes de la carrera de matemáticas aplicada
    Universidad del Papaloapan
    March 18, 2016. Loma Bonita, Oaxaca.
  • Una prueba ilustrativa del álgebra combinatoria
    Seminario de Investigación de la Universidad del Papaloapan
    March 17, 2016, Loma Bonita, Oaxaca.
  • Algebraic independence and asymptotic properties of ideals
    Southwest Local Algebra Meeting
    February 28 - March 01, 2015. Oklahoma State University.
  • On algebraic independence of clutters
    International Workshop ACCOTA 2014
    November 24-28, 2014. Ixtapa-Zihuatanejo, Guerrero, México.
  • Asymptotic Properties of Path Ideals
    Southwest Local Algebra Meeting
    March 1-2, 2014. Texas A&M University.
  • Strong persistence property of square-free monomial ideals
    The Applied Algebra Seminar
    January 27, 2014. Department of Mathematics and Statistics. York University.
  • The strong persistence property of ideals of graphs with loops and weighted graph
    International Workshop ACCOTA 2012
    December 3-7, 2012. Huatulco, Oaxaca, México.
  • Persistence of ideal of graphs
    XLV National Congress of the Mexican Mathematical Society
    October 28 to November 2, 2012, Universidad Autónoma de Querétaro.

Attendant:

  • Ordinary and symbolic powers of ideals. CMO-BIRS.
    May 14 to 19, 2017. Casa Matemática Oaxaca. Oaxaca de Juárez Oax.
  • Combinatorial Algebra meets Algebraic Combinatorics- Eleventh Annual Meeting
    January 24-26, 2014. Dalhousie University, Halifax, NS, Canadá
  • Mathematical Congress of the Americas
    August, 2013. Guanajuato, México
  • International Workshop in Combinatorial Algebra
    June, 2013. Halifax, NS, Canadá
  • XLI Congreso de la Sociedad Matemática Mexicana
    2009, Valle de Bravo. Estado de México.
  • XXXVIII Congreso de la Sociedad Matemática Mexicana
    2005. Cd. México.

Events

  • Member of the organizing committee Student Seminar, Department of Mathematics Cinvestav-IPN. 2012 to 2015.
  • Workshop of mathematics. Summer 2014. El Espinal Oax.