Andrea Bertozzi

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Andrea L. Bertozzi (* 1965 ) is an American mathematician.

Life

Andrea Bertozzi is the sister of Carolyn Bertozzi and daughter of the physicist William Bertozzi (* 1931), who was a professor at the Massachusetts Institute of Technology . She studied at Princeton University , with a bachelor's degree in 1987, a master's degree in 1988 and a doctorate with Andrew Majda in 1991 ( Existence, Uniqueness, and a Characterization of Solutions to the Contour Dynamics Equation ). From 1991 to 1995 she was a Dickson Instructor at the University of Chicago and in 1995/96 with the Maria Goeppert-Mayer Distinguished Scholar at the Argonne National Laboratory . In 1995 she became an Associate Professor and later Professor at Duke University , where she was Director of the Center for Nonlinear and Complex Systems. In 2003 she became professor of mathematics at the University of California, Los Angeles (UCLA), and from 2005 as director of applied mathematics. In 2012 she received the Betsy Wood Knapp Chair for Innovation and Creativity . She is at UCLA's California NanoSystems Institute. In 2018 she also became a professor for mechanical engineering and aerospace engineering.

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She deals with nonlinear partial differential equations and their applications, including the physics of thin films such as the formation of drops in wine glasses (see church window (wine) ), swarming behavior and aggregations in biology (solutions of the aggregation equations in any dimension) and fluid flows, the small particles transport and have free surfaces. She also worked on micro and nano data and image analysis and the pattern of crime in cities.

Honors and memberships

In 1995 she was a Sloan Research Fellow, a Presidential Early Career Award in 1996 and the Kovalevsky Prize in 2009 and the Kleinman Prize of SIAM in 2019 , of which she became a Fellow in 2010. In 2013 she became a Fellow of the American Mathematical Society and in 2016 of the American Physical Society and in 2010 she was elected to the American Academy of Arts and Sciences and in 2018 to the National Academy of Sciences . In 2015/16 she was a highly cited scientist at Thomson Reuters / Clarivate.

In 2014 she and Arjuna Flenner received a SIAM Outstanding Paper Award for an essay on geometric graph-based algorithms in machine learning. In 2017 she became Simon's investigator.

Bertozzi was scheduled to hold the Noether Lecture in 2021 . They should for their work on predicting crime ( predictive policing ) are excellent. In connection with the death of George Floyd , this decision came under fire, so that the Association for Women in Mathematics , the American Mathematical Society and Andrea Bertozzi agreed to cancel the lecture.

Fonts (selection)

  • The Mathematics of Moving Contact Lines in Thin Liquid Films, Notices Am. Math. Soc., Volume 45, Issue 6, June / July 1998, pp. 689-697
  • with Andrew Majda: Vorticity and Incompressible Flow, Cambridge UP 2002
  • with Maria R. D'Orsogna, Yao-Li Chuang, Lincoln Chayes: Self-propelled particles with soft-core interactions: patterns, stability, and collapse, Physical Review Letters, Volume 96, 2006, p. 104302
  • with CM Topaz, MA Lewis. A nonlocal continuum model for biological aggregation, Bulletin of Mathematical Biology, Volume 68, 2006, pp. 1601-1623
  • with T. Laurent, Finite-time blow-up of solutions of an aggregation equation in , Comm. Math. Phys., Vol. 274, 2007, pp. 717-735
  • with MB Short, MR D'Orsogna, VB Pasour, GE Tita, PJ Brantingham, L. Chayes: A statistical model of criminal behavior, M3AS: Mathematical Models and Methods in Applied Sciences, special issue on Traffic, Crowds, and Swarms, Volume 18, Supp., 2008, pp. 1249-1267
  • with Jose A. Carrillo, Thomas Laurent: Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity, Volume 22, 2009, pp. 683–710.
  • with Yifei Lou, Xiaoqun Zhang, Stanley Osher: Image Recovery via Nonlocal Operators, J. Sci. Comp., Vol. 42, 2010, pp. 185-197
  • with J. Bedrossian, Nancy Rodriguez: Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion, Nonlinearity, Volume 24, 2011, pp. 1683-1714
  • with Thomas Laurent, Jesus Rosado: theory for the multidimensional aggregation equation, Comm. Pure. Appl. Math., Volume 64, 2011, pp. 45-83
  • with Arjuna Flenner, Diffuse Interface Models on Graphs for Classification of High Dimensional Data, SIAM Review, Volume 58, 2016, pp. 293–328
  • with Li Wang, Martin Short: Efficient numerical methods for multiscale crowd dynamics with emotional contagion, Math. Models Methods Appl. Sci., Volume 27, 2017, pp. 205-230

Web links

Individual evidence

  1. ^ Entry by William Bertozzi in American Men and Women of Science , Thomson Gale 2004
  2. ↑ Andrea Bertozzi in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Yonatan Dukler, Hangjie Ji, Claudia Falcon, Andrea L. Bertozzi, Theory for undercompressive shocks in tears of wine, Physical Review Fluids, Volume 5, 2020, 034002, Arxiv
  4. ↑ Martin Short, Andrea Bertozzi, PJ Brantingham, Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression, SIAM J. Appl. Dyn. Syst., Volume 9, 2010, Issue 2, pp. 462-483
  5. ↑ MB Short, PJ Brantingham, AL Bertozzi, GE Tita, Dissipation and displacement of hotspots in reaction-diffusion models of crime, Proc. Nat. Acad. Sci., Vol. 107, 2010, pp. 3961-3965
  6. ^ Simons Investigators , Simons Foundation
  7. ↑ Re: 2021 Noether Lecture. In: awm-math.org. Association for Women in Mathematics , June 11, 2020, accessed June 14, 2020 .
personal data
SURNAME Bertozzi, Andrea
ALTERNATIVE NAMES Bertozzi, Andrea L.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1965