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This page hints at the research directions, both applied and theoretical, I am most interested in. The breath of applications impacted by my research is a reflection of the power that mathematical abstraction has in uncovering the essence of natural phenomena. Generally, all the projects I work on are based on the development of new differential equations and functional analysis tools, statistics on manifolds methodologies, and optimization methods in high-dimensional statistical models.
Organismal Biology
Organismal Biology
This project is dedicated to the data-driven development of the mathematical laws that govern morphology and biomechanics through ontogeny.
Neuroscience
Neuroscience
This project is dedicated to the understanding of brain function and disorders using mathematical and machine learning methods.
Infectious diseases
Infectious diseases
In this project, we develop mathematical models of infectious diseases and study them using statistical and machine learning methods.
Mathematical and Statistical theory
Mathematical and Statistical theory
This projects aims at providing the theoretical foundations of mathematical and statistical methodologies which include differential equations, statistics on manifolds, and machine learning theory.
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