Nowadays, I am a PhD candidate at the Department of Mathematical Engineering (DIM) of the University of Chile, under the advise of Prof. Avelio Sepulveda. Previously, Prof. Daniel Remenik was my master thesis advisor at the Faculty of Physical and Mathematical Sciences of the University of Chile.

I am interested in probability theory and statistical physics. My research explore the Markov property and it's generalizations in different models associated to statistical physics. My PhD project explores two main questions:

1. Which probability laws has the Domain Markov property?

2. Which family of sets satisfies the Domain Markov property?

The type of models I'm interested in are random planar maps, Gaussian Free Field (GFF), Imaginary Chaos, Brownian Loop Soup, among others.

1. Characterisation of Markovian properties on maps
   (Joint work with Avelio Sepulveda and Luis Fredes)

2. Theory of Explorable sets
   (Joint work with Avelio Sepulveda and Pablo Zuñiga)

• Teaching Assistant, FCFM, Universidad de Chile: 2018 - 2024

1. General Courses (times): Introduction to Calculus (5), Introduction to Algebra (4), Linear Algebra (3),  Ordinary Differential Equations (1), Multivariable Calculus (1), Advanced Calculus (1)

2. Speciality Courses (times): Probability and Statistics (4), Optimization (4), Mathematics for Economist (1), Markov Processes (2) , Stochastic Simulation (2) , Optimal Control (1)

• Professor, FCFM, Universidad de Chile: 2024 - Present

1. Advanced Calculus (2)