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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
77
Citations
20939
World Ranking
184
National Ranking
108

Engineering and Technology

D-Index
76
Citations
19415
World Ranking
714
National Ranking
245

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2018 - Member of the National Academy of Sciences
  • 2016 - Fellow of American Physical Society (APS) Citation For seminal work on thin film fluid analysis and modeling, contributions to the understanding of vorticity and incompressible flow, experimentation on particle ladenfree surface flow, and application of fluid models to biological and technological problems
  • 2013 - Fellow of the American Mathematical Society
  • 2010 - Fellow of the American Academy of Arts and Sciences
  • 2010 - SIAM Fellow For contributions to the application of mathematics in incompressible flow, thin films, image processing, and swarming.
  • 1995 - Fellow of Alfred P. Sloan Foundation

Overview

Andrea L. Bertozzi is affiliated with the University of California, Los Angeles in the United States. Their research spans multiple fields with a strong focus on engineering and computer science. Their work encompasses subfields such as artificial intelligence, computational mechanics, biomedical engineering, computer vision and pattern recognition, and statistical and nonlinear physics.

The main topics of their research include advanced graph neural networks, machine learning and algorithms, fluid dynamics and thin films, COVID-19 epidemiological studies, innovative microfluidic and catalytic techniques innovation, particle dynamics in fluid flows, and microfluidic and bio-sensing technologies.

Some notable recent publications by Andrea L. Bertozzi include:

  • Impact of social distancing during COVID-19 pandemic on crime in Los Angeles and Indianapolis, 2020, Journal of Criminal Justice
  • Suspendable Hydrogel Nanovials for Massively Parallel Single-Cell Functional Analysis and Sorting, 2022, ACS Nano
  • A multilayer network model of the coevolution of the spread of a disease and competing opinions, 2021, Mathematical Models and Methods in Applied Sciences
  • Investigating Clustering and Violence Interruption in Gang-Related Violent Crime Data Using Spatial-Temporal Point Processes With Covariates, 2021, Journal of the American Statistical Association
  • Monodisperse drops templated by 3D-structured microparticles, 2020, Science Advances

Frequent collaborators of Andrea L. Bertozzi comprise:

  • Hangjie Ji
  • Stanley Osher
  • P. Jeffrey Brantingham
  • Bao Wang
  • Kevin Miller

Andrea L. Bertozzi has published extensively in venues such as:

  • arXiv (Cornell University)
  • Mathematical Models and Methods in Applied Sciences
  • IEEE Transactions on Geoscience and Remote Sensing
  • Communications on Applied Mathematics and Computation
  • Proceedings of the National Academy of Sciences

The scientist has received several professional recognitions, including being named a Member of the National Academy of Sciences in 2018. Additional distinctions include fellowships with the American Physical Society, the American Mathematical Society, the Society for Industrial and Applied Mathematics, the American Academy of Arts and Sciences, and the Alfred P. Sloan Foundation. These honors reflect contributions in areas such as thin film fluid analysis, incompressible flow, image processing, and swarming, as well as applications of mathematics to fluid and biological systems.

Best Publications

  • Vorticity and incompressible flow

    Andrew J. Majda;Andrea L. Bertozzi

  • Navier-stokes, fluid dynamics, and image and video inpainting

    M. Bertalmio;A.L. Bertozzi;G. Sapiro

  • Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse

    M. R. D’Orsogna;Y. L. Chuang;Y. L. Chuang;A. L. Bertozzi;L. S. Chayes

  • A nonlocal continuum model for biological aggregation.

    Chad M. Topaz;Andrea L. Bertozzi;Mark A. Lewis

  • SWARMING PATTERNS IN A TWO-DIMENSIONAL KINEMATIC MODEL FOR BIOLOGICAL GROUPS ∗

    Chad M. Topaz;Andrea L. Bertozzi

  • The challenges of modeling and forecasting the spread of COVID-19.

    Andrea L. Bertozzi;Elisa Franco;George Mohler;Martin B. Short

  • Inpainting of Binary Images Using the Cahn–Hilliard Equation

    A.L. Bertozzi;S. Esedoglu;A. Gillette

  • Impact of social distancing during COVID-19 pandemic on crime in Los Angeles and Indianapolis.

    George Mohler;Andrea L. Bertozzi;Jeremy Carter;Martin B. Short

  • A STATISTICAL MODEL OF CRIMINAL BEHAVIOR

    M. B. Short;M. R. D'orsogna;V. B. Pasour;G. E. Tita

  • Image Recovery via Nonlocal Operators

    Yifei Lou;Xiaoqun Zhang;Stanley Osher;Andrea Bertozzi

  • Randomized Controlled Field Trials of Predictive Policing

    G. O. Mohler;M. B. Short;Sean Malinowski;Mark Johnson

  • The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions

    A. L. Bertozzi;M. Pugh

  • State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System

    Yao-li Chuang;Yao-li Chuang;Maria R. D’Orsogna;Daniel Marthaler;Andrea L. Bertozzi;Andrea L. Bertozzi

  • Global regularity for vortex patches

    A. L. Bertozzi;P. Constantin

  • Linear stability and transient growth in driven contact lines

    Andrea L. Bertozzi;Michael P. Brenner

  • Dissipation and displacement of hotspots in reaction-diffusion models of crime

    Martin B. Short;P. Jeffrey Brantingham;Andrea L. Bertozzi;George E. Tita

  • THE MATHEMATICS OF MOVING CONTACT LINES IN THIN LIQUID FILMS

    A. L. Bertozzi

  • Diffuse Interface Models on Graphs for Classification of High Dimensional Data

    Andrea L. Bertozzi;Arjuna Flenner

  • Blow-up in multidimensional aggregation equations with mildly singular interaction kernels !

    Andrea L Bertozzi;José A Carrillo;Thomas Laurent

  • Long-wave instabilities and saturation in thin film equations

    A. L. Bertozzi;M. C. Pugh

  • Multi-Vehicle Flocking: Scalability of Cooperative Control Algorithms using Pairwise Potentials

    Yao-Li Chuang;Y.R. Huang;M.R. D'Orsogna;A.L. Bertozzi

Frequent Co-Authors

Stanley Osher
Stanley Osher University of California, Los Angeles
Andrew J. Majda
Andrew J. Majda Courant Institute of Mathematical Sciences
P. Jeffrey Brantingham
P. Jeffrey Brantingham University of California, Los Angeles
Jocelyn Chanussot
Jocelyn Chanussot Grenoble Alpes University
Yifei Lou
Yifei Lou University of North Carolina at Chapel Hill
George E. Tita
George E. Tita University of California, Irvine
Stefano Soatto
Stefano Soatto University of California, Los Angeles
Mason A. Porter
Mason A. Porter University of California, Los Angeles
Michael P. Brenner
Michael P. Brenner University of Michigan–Ann Arbor
Paul S. Weiss
Paul S. Weiss University of California, Los Angeles

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