Andrea L. Bertozzi

University of California, Los Angeles


Primary Section: 32, Applied Mathematical Sciences
Secondary Section: 11, Mathematics
Membership Type: Member (elected 2018)

Biosketch

Andrea Bertozzi is an applied mathematician recognized for her work in nonlinear partial differential equations and in graphical models for data science. She has expertise in fluid interfaces, swarming models, and crime modeling.  She graduated from Princeton University with AB, MA and PhD degrees in Mathematics. She was an NSF postdoctoral fellow at the University of Chicago from 1991-1995. She was the Maria Geoppert-Mayer Distinguished Scholar at Argonne National Laboratory in 1995-96 and was on the faculty in both Mathematics and Physics at Duke University from 1995-2003. Bertozzi has been at UCLA since 2003 and currently holds the position of Distinguished Professor of Mathematics and Mechanical and Aerospace Engineering and the Betsy Wood Knapp Chair for Innovation and Creativity. She gave the AWM-SIAM Sonia Kovalevsky lecture in 2009. She is a fellow of the American Physical Society, American Mathematical Society, and the Society for Industrial and Applied Mathematics. She has an honorary degree from Claremont Graduate University (2014) and was a Clarivate Analytics/Thomson-Reuters “highly cited” researcher in Mathematics in 2015 and 2016. Bertozzi has served as Director of the Applied Mathematics program at UCLA since 2005. She is a Simons Math + X investigator since 2017 and is a Fellow of the American Academy of Arts and Sciences since 2010.

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 NAS member Andrew Majda 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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