David Caraballo

David Caraballo is an Associate Professor in the Department of Mathematics and Statistics at Georgetown University, College. His research focuses on geometric measure theory, calculus of variations, and their applications in materials science, image processing, and medicine. Key interests include convexity, energy minimization, boundary regularity, and geometric evolution problems such as curvature flows and isoperimetric challenges.

Education:

• Ph.D., Princeton University

Research Interests:

Caraballo explores theoretical foundations in geometric optimization, total variation minimization, and probability inequalities. His work bridges abstract mathematical frameworks with practical applications, such as modeling material behavior and medical imaging techniques. He investigates static and dynamic optimization problems, often in Euclidean partition contexts, to address real-world challenges.

Awards/Grants:

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Labs/Teams:

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