I am working on Stackelberg mean-field games and mean-field type control, including modeling applications to urban mobility, population dynamics, and finance of energy markets.

During 2023 to 2025, I was a Post-doctoral fellow at the Center for research in economics and Statistics (CREST), École Polytechnique, working with Professors Roxana Dumitrescu and Peter Tankov on mean-field games of optimal stopping and denoising diffusion modeling for 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.