Proceedings of the National Academy of Sciences of the United States of America

About the PNAS Member Editor
Name Bertozzi, Andrea L.
Location University of California, Los Angeles
Primary Field Applied Mathematical Sciences
Secondary Field Mathematics
 Election Citation
Bertozzi is an American mathematician known for her many contributions in applied nonlinear partial differential equations, most notably ideal fluids and free boundary problems, thin films and higher order nonlinear diffusion equations, nonlocal aggregation equations, social science applications including crime models, and graphical models for high dimensional data.
 Research Interests
Bertozzi is an expert in nonlinear partial differential equations with applications to fluid dynamics and pattern forming problems. Bertozzi coauthored a book with Andrew Majda (member, NAS) on Vorticity and Incompressible Flow and is well-known for her work on thin film models including fundamental results on well-posedness of thin film equations and the discovery of undercompressive shocks in driven films with surface tension. Her earlier fundamental work in fluids led to novel applications in image processing, most notably image inpainting, swarming models, and data clustering on graphs. She is well-known for finding unusual connections between disparate areas of science through mathematics as a common language. For example, she has many contributions to swarm modeling and dynamics building on earlier work on vortex dynamics in fluids. Her work on graphical models for data classification is motivated by classical continuum models in materials science. Bertozzi co-founded a research group on Mathematics of Crime at UCLA, focusing on routine activity modeling and crimes of opportunity. That work led to new predictive policing methods implemented in over 50 cities worldwide.

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