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ITAM has no graduate programme in mathematics, so the undergraduate thesis is where advanced topics fit. Almost all my students come from the Partial Differential Equations course, which is an elective taken late in the degree.

Theses supervised

  • Francisco Gonzáles Isás · 2026awaiting defence Teoría y práctica en simulación de fluidos para gráficas por computadora BSc in Applied Mathematics, ITAM
  • Daniel Tiburcio Martínez · 2026awaiting defence Tres métodos criptográficos: variaciones e implementación BSc in Applied Mathematics, ITAM
  • Diego Martín Terrazas Hernández · 2026co-supervisionawaiting defence Aproximación numérica de sistemas hiperbólicos de sedimentación Master's dissertation, UNAM. Co-supervised with Antonio Capella Kort
  • Armando Miguel Trejo Marrufo · 2020 Estudio de la ecuación de Schrödinger en espacios funcionales BSc in Applied Mathematics, ITAM
  • Dalia Camacho García Formentí · 2017special distinction Simulación de cadenas de Markov a partir de mapeos iterativos caóticos BSc in Applied Mathematics, ITAM
  • Rodrigo Zepeda Tello · 2016special distinction El misterioso caso de los modelos por compartimentos: procesos de Markov, ecuaciones maestras y un programa para su estimación BSc in Applied Mathematics, ITAM

As examiner

A thesis defence looks different from the other side of the table. I have sat on thirty undergraduate committees at ITAM since 2014, and on seven doctoral ones at four institutions in Mexico and Brazil.

30undergraduate committees

3doctoral defences

4qualifying examinations

Undergraduate

2014 (1), 2015 (1), 2016 (1), 2017 (2), 2018 (1), 2019 (2), 2020 (2), 2021 (7), 2022 (1), 2023 (4), 2024 (4), 2025 (2), 2026 (2)

Doctoral thesis defences

  • Gerardo Camacho de la Rosa · UNAM, México · 2017
  • Luis Fernando Lozano Guerrero · IMPA, Brasil · 2018
  • Rosmery Violeta Quispe Zavala · UFJF, Brasil · 2022

Qualifying examinations

  • Eduardo Iván Velázquez Richards · Posgrado, UNAM, México · 2019
  • Claudia Acosta · CIMAT, Guanajuato, México · 2019
  • Rosmery Violeta Quispe Zavala · UFJF, Brasil · 2021
  • Giulia Fritis · UFJF, Brasil · 2025

Looking for thesis students

If any of this makes you curious, write to me. You do not need to know the subject yet; you need to want to learn it.

  • The bus that catches up with the one ahead. It is called bus bunching and you have lived it waiting at a stop: three arrive together and then none for half an hour. It is a transport phenomenon modelled with conservation laws, and it is understood with the same tools as oil recovery. It is the topic that requires the least background to start.
  • Conservation laws applied to oil recovery. The Riemann problem in porous media: water and gas injection, foams, CO₂ sequestration. There is work to do on both the geometric and the numerical side.
  • Mathematical biology and genomics. I am increasingly interested in modelling in biology, and in proteomics in particular. It is the area where I have published least and want to learn most, so it would genuinely be four-handed work.