Bertozzi has contributed to many areas of applied mathematics, including the theory of swarming behavior, aggregation equations and their solution in general dimension, the theory of particle-laden flows in liquids with free surfaces, data analysis/image analysis at the micro and nano scales, and the mathematics of crime.
[7] Bertozzi coauthored the book Vorticity and Incompressible Flow, which was published in 2000 and remains one of her most cited works.
[9] Between 2010 and 2020, Bertozzi has been granted multiple patents related to her research, which center on image inpainting, data fusion mapping estimation, and most recently, on determining fluid reservoir connectivity using nanowire probes.
[11] She has also worked with Jeffrey Brantingham and other colleagues to apply mathematics to the patterns of urban crime, research which was the cover feature in the March 2, 2010 issue of Proceedings of the National Academy of Sciences.
[12] Since 2017, Bertozzi has been developing new mathematics related to microfluidic technologies as part of her Simons Math + X investigator program joint with UCLA's Department of Mechanical and Aerospace Engineering and the California NanoSystems Institute.
[13] Bertozzi has also published academic works regarding the 2020 pandemic, the most significant of which is an article on the difficulties of forecasting the spread of COVID-19.
[14] She has continued making contributions to the scientific community throughout the pandemic, including a talk on epidemic modeling and a study on the increase in domestic violence reports during stay-at-home restrictions.
The timing of the announcement, during the George Floyd protests against police brutality, was criticized on social media as offensive.