Andrea Bertozzi Research Group
- Current Postdocs (Former Postdocs)
- David Arnold, PhD (Univ. Adelaide) - Asst. Adj. prof., fluid dynamics
- Claudia Falcon, PhD (UNC Chapel Hill) - PIC Instructor, particle laden flow
- Matthew Haberland, PhD (MIT, MAE) - PIC instructor, control and robotics
- Da Kuang, PhD (Georgia Tech) - Adj. Asst. Prof., Data analysis and algorithms
- Michaela (Puck) Rombach, PhD (Oxford) - Adj. Asst. Prof., network models and combinatorics
- Chuntian Wang, PhD (Indiana) - Hedrick Asst. Prof., stochastic differential equations
- Current Ph.D. Students (Advanced to Candidacy) (Former Students)
- PhD Students (passed qualifiers)
- Christian Parkinson, PDE models for social science applications
- Hao Li, machine learning applications
Undergraduate researchers (Former undergraduate researchers)
- See web page of our summer REU program.
- 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 and the DoD and includes collaborations
with Jeff Brantingham in Anthropology and with Lincoln Chayes.
- Current Research Grants
- 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,
1/1/15-12/31/17, 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", 10/24/14-4/30/18, 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, 8/1/14-7/31/18.
- NSF grant CMMI-1435709 Collaborative Research: Modeling, Analysis, and Control of the Spatio-temporal Dynamics of Swarm Robotic Systems, 9/1/14-8/31/17, joint with Spring Berman, Arizona State University.
- NSF grant DMS-1312543 Particle laden flows - theory, analysis and experiment, Sept 2013-Aug. 2017, joint grant with Marcus Roper.
- ONR grant N00014-16-1-2119,
Machine Reasoning and Intelligence for Naval Sensing,
July 1, 2012 - Sept. 30, 2017, S. Osher PI,
joint with Larry Carin at Duke University.
- NSF grant DMS-1118971 Algorithms for Threat Detection in Sensor Systems for Analyzing Chemical and Biological Systems Based on Compressive Sensing and L1 Related Optimization, joint grant with Stanley Osher (PI), 8/15/11-9/30/16
Past Research Funding
UCLA * Department of Mathematics *