Andrea Bertozzi Research Group
- Current Postdocs (Former Postdocs)
- David Arnold, PhD (Univ. Adelaide) - Asst. Adj. prof., fluid dynamics
- Omri Azencot, PhD (CS, Technion) - PIC Instructor; Zuckerman Israeli Postdoctoral Scholar
- Claudia Falcon, PhD (UNC Chapel Hill) - PIC Instructor and AGEP Scholar, particle laden flow
- Matthew Jacobs (Univ. Michigan) Asst. Adj. Prof.
- Hangjie Ji, PhD (Duke) - PIC Instructor, fluids and PDE
- Flavien Leger, PhD (Courant) - Asst. Adj. Prof.
- Michael Lindstrom, PhD (UBC) - PIC Instructor and NSERC Postdoc, fluids and modeling
- Bao Wang, PhD (Mich. State) - Asst. Adj. Prof., computational modeling
- Current Ph.D. Students (Advanced to Candidacy) (Former Students)
- Geoffrey Iyer, multimodal data processing, joint with J. Chanussot, Univ. Grenoble.
- Christian Parkinson (joint with Stan Osher), PDE models for optimal path planning
- Baichuan Yuan, multivariate Hawkes Processes and Machine Learning
- Hao Li, machine learning applications
- PhD Students (passed qualifiers)
- Yoni Dukler, machine learning applications
- Kyung Ha, surface tension microfluidic modeling and analysis
Undergraduate researchers (Former undergraduate researchers)
- See web page of our summer REU program.
- Simons Math + X This is a five year project in collaboration with the California NanoSystems Institute and the Department of Mechanical Engineering. We are working on both microfluidics applications and imaging applications.
- Particle laden flow .
I have been working on particle laden flow since 2003.
Mathematical models include and hyperbolic conservation laws and higher order PDE.
Here is a link to my recent papers in this area. Some of this work includes laboratory experiments.
- Cooperative motion and swarming
I am interested in modeling both biological swarms and artificial swarms.
We study the mathematical properties of collective groups and the
large scale dynamics that ensues from small scale motion.
This work includes both rigorous analysis of models and actual testbed experiments for some of the more hands-on problems.
- Image processing and BIG DATA
I work on problems in "big data" related to both security and medical applications.
This work is an outgrowth of my prior work in image processing.
We are developing new theory and algorithms related to graph cut problems and total variation on graphs.
Mathematics and Simulation of Crime
is funded by the NSF, the City of Los Angeles, the NIJ, and the DoD and includes collaborations with Jeff Brantingham in Anthropology and with Stan Osher.
- Current Research Grants and Contracts
- NSF grant DGE-1829071, NRT-HDR: Modeling and Understanding Human Behavior: Harnessing Data from Genes to Social Networks, 9/2018-8/2023, Wei Wang PI.
- DARPA, Variational Methods on Graphs for Identification on Transaction Networks, Feb 1 2018-Jan 29, 2020. Award number FA8750-18-2-0066.
- ATD: Sparsity Models for Forecasting Spatio-Temporal Human Dynamics NSF DMS-1737770, 9/15/17-8/31/20, with P. J. Brantingham and S. J. Osher
- Simons Math + X Investigator Award number 510776. 7/2017-6/2022
- NSF grant DMS-1659676 REU Site: Mathematical Modeling at UCLA, 7/2017-6/2020, M. Roper PI.
- City of Los Angeles, Gang Reduction Youth Development (GRYD) Analysis Program, subaward to UCLA from CSULA, 3/2016-6/2017; P. J. Brantingham PI.
- NIJ Grant Number: 2014-R2-CX-0101, Testing and Evaluating Body Worn Video Technology in The Los Angeles Police Department, Cecilia Glassman (PI), Los Angeles Police Foundation,
1/1/15-9/31/18, subaward to UCLA with P. J. Brantingham.
- NGA NURI grant HM02101410003, "Sparsity models for spatiotemporal analysis and modeling of human activity and social networks in a geographic context", 10/24/14-4/30/19, with S. Osher, P. J. Brantingham and G. Tita (UC Irvine)
- NSF grant DMS-1417674 Extreme-scale algorithms for geometric graphical data models in imaging, social and network science, 8/1/14-12/31/18.
- NSF grant CMMI-1435709 Collaborative Research: Modeling, Analysis, and Control of the Spatio-temporal Dynamics of Swarm Robotic Systems, 9/1/14-8/31/18, joint with Spring Berman, Arizona State University.
Past Research Funding
UCLA * Department of Mathematics *