Isaac Gonzalez Garcia

I am a Mexican mathematician (actually an actuary) with a specialization in Probability Theory. My areas of interest are:

• Markov Branching processes with local and non-local branching mechanisms

• Spatial Superprocesses

• Self-similar Markov processes

• Stochastic calculus and applications

I have also taught topics related to:

• Stochastic processes

• Risk Theory

• Algebra

• Finance

I was born in Mexico City back in April 1990. Since then, one way or another, I have been learning a lot of interesting things. Some of them people might call them useful, some others not so much but they are still as interesting as the others. Among the things I have been learning there are those related to mathematics:

• From 2008 to 2012 I studied Actuarial Sciences at the National Autonomous University of Mexico (Universidad Nacional Autónoma de México UNAM). 

• From 2015 to 2016 I did my Master's studies in Pure Mathematics with a focus on Probability Theory, Real and Complex Analysis, and Differential Equations at UNAM. I spent the last semester at The University of Bath in the United Kingdom as a visiting student.

• From 2017 to 2022 I did my PhD at The University of Bath, under the supervision of Andreas Kyprianou. My thesis was entitled "Moments of Branching Markov processes and related problems".

I have also worked in different jobs, most of them related to mathematics:

• During the last semesters of my Bachelor studies I worked as a teaching assistant at UNAM. As part of my role, I prepared and deliver tutorials in probability theory and calculus.

• Soon after I finished my Bachelor's, I worked as a teaching fellow during one semester at the Faculty of Sciences in the same university. I taught a medium level course in probability.

• From April 2013 to September 2014 I worked as a Research assistant at the Cost and Ports Engineering Laboratory at UNAM. During that time, I developed risk models to analyse coastal hazards such as floods or hurricanes.

• During my PhD studies, from January 2018 to December 2021 I worked as a Teaching Assistant at the University of Bath. I delivered tutorials on probability, statistics, and real analysis. I also marked coursework and gave feedback to students.

• From April 2021 to January 2022 I worked as a tutor at The Brilliant Club, in the United Kingdom. I took part in the Brilliant Tutoring Programme,, in which I delivered tutorials in mathematics to pupils in KS3 and KS4 levels.

• From September 2022 to April 2024 I worked at The University of the Sea, Huatulco, where I taught topics related to Stochastic Processes, Algebra, Risk Theory and Finance.

• From May 2024 to December 2025 I taught courses in Stochastic Processes at UNITEC (Universidad Tecnológica de México).

• From August 2024 to January 2025 I worked as an audits and incentives annalist at Astellas Pharma. Here I worked with the Commercial Operations team developing tools for targeting and market analysis.

• In February 2025, I joined the Institute of Research in Applied Mathematics and Systems (IIMAS) at UNAM as a post-doctorate researcher.

• Currently, I teach courses in Probability Theory and Stochastic processes at UNAM and Universidad Iberoamericana.
  
  

I have taken part in some conferences both as an attendant and as a speaker. Here I share with you some of the material I have developed hoping that you can give it some use.

• Conference paper: Aplicación de la teoría de valores extremos en el análisis de eventos hidrometeorológicos (Extreme Value Theory Applied to the analysis of Hydrometeorological events) With Mayela Avilés Ramírez,  Ana Meda Guardiola and Rodolfo Silva Casarin.  Conference: XXIII Congreso Nacional de Hidráulica. At: Vallarta, Jalisco, Mexico. October 2014. (Spanish).

• Talk Branching processes on the sphere at the Bath-UNAM-Cimat (BUC)-Chile Probability meeting, Mexico. November 2019. (English).

• Talk Asymptotic behaviour of moments of a critical diffusion in a bounded domain and a Yaglom-type result at the online Hispanic Probability Seminar. November 2020. (Spanish).

• Paper: Asymptotic moments of spatial branching processes. With Andreas Kyprianou and Emma Horton.  Probability Theory and Related Fields. 184, pp 805-858, 2022. April 2022. See also the Correction for the non-critical cases.

• Talk Asymptotic moments of spatial branching processes at the BUC Probability meeting, Guanajuato, Mexico. January 2023. (English).

Apart from my academic interests, I spend some of my spare time in other things, such as doing:

• Simulations

I mostly use the software R, which is free and open source. I am also starting to use Python. The sphere at the bottom of the page is an example of a simulation made in R.

• Origami

I started folding simple figures and then more complex ones following the artist Jo Nakashima, who designed most of the origami figures in my office. Then I looked at more artists and books, and since then I have been enriching my collection.

• Animation

I like making mathematical animations, for which I use Manim, created by Grant Sanderson. He uses it to create beautiful mathematical videos and explanations for his website 3Blue1Brown and his Youtube  channel. You can check some of the videos I have made in my Youtube Channel.

• Mathematics outreach

I have participated in various mathematical outreach activities, such as maths fairs and talks aimed at general audiences. 

• I gave a talk on Buffon's needle problem at UMAR; you can view the slides here (in Spanish). 

• I also wrote a short essay on the infinite monkey theorem, which states that a monkey randomly hitting keys on a keyboard for an infinite amount of time will eventually produce the complete works of Shakespeare, without a single error. You can read it here (Spanish). English version coming out soon.

You can find me at the Department of Probability and Statistics contact at IIMAS (UNAM), office number 123. Or contact me by email at: isaac.gonzalez@sigma.iimas.unam.mx 

Alternatively, you can drop me an email to my personal email: i.gonzalez0490@gmail.com