I am working on mean-field game theory, focusing on modeling applications to finance energy markets.

I received a Ph.D. in Applied Mathematics from King Abdullah University of Science and Technology (KAUST), having worked under the guidance of Professor Diogo Gomes. I completed my doctoral studies in 2023. The primary focus of my thesis was a stochastic extension of a price-formation mean-field game model, including machine-learning-based numerical methods. I am deeply grateful for the financial support provided by KAUST, which enabled me to pursue my doctoral studies. 

I obtained my M.Sc. in Mathematical Sciences from the Universidad Nacional Autónoma de México in 2017, mentored by Professor Héctor Sánchez. I graduated with both General Knowledge Exams (Ordinary Differential Equations, Analysis, and Dynamical Systems) and a dissertation on mean-field games. I am deeply grateful to the Consejo Nacional de Ciencia y Tecnología (CONACYT) for their generous scholarship that supported my studies.

I received a B.S. in Industrial Engineering in 2013 and a B.S.  in Mathematics in 2014 from Universidad Escuela Colombiana de Ingeniería Julio Garavito. My engineering thesis used the proportional hazards model (Cox model) to investigate customer churn, while my mathematical thesis examined the classification of ergodic maps in Hilbert spaces.