Giovanni Leoni

Giovanni Leoni is a Professor of Mathematical Sciences at the Department of Mathematical Sciences, Carnegie Mellon University, within the Mellon College of Science. His research focuses on calculus of variations, partial differential equations, and geometric measure theory, with applications to materials science, continuum mechanics, and imaging. Recent work includes studies on material defects (e.g., dislocations), epitaxial thin film growth, and phase field models for anisotropic energies.

Education: Master and Ph.D. in Mathematics from the University of Minnesota.

Research Interests
His research combines theoretical analysis with applied problems in mechanics and materials science. Key areas include variational problems related to material defects, epitaxial growth dynamics, and phase transitions. He has contributed to understanding the mathematical foundations of dislocation dynamics and anisotropic surface energies in elastic films.

Scientific Awards

• Richard Moore Award (2019)
• Giuseppe Bartolozzi Award

Advising & Grants Leoni has advised numerous Ph.D. students (though no names listed here). His work is supported by grants from institutions including the National Science Foundation, focusing on topics like thin film mechanics and variational methods in materials science.

Labs & Collaborations Collaborates with the Center for Nonlinear Analysis at Carnegie Mellon, advancing interdisciplinary research in applied mathematics and materials science.