Andrea Bertozzi Research Group

Current Postdocs   (Former Postdocs)

• Omri Azencot, PhD (CS, Technion) - PIC Instructor; Marie Sklodowska-Curie Actions Individual Fellowship Postdoctoral Scholar
• Karthik Elamvazthuti, PhD in Mechanical Engineering, ASU, CAM Asst. Adj. Prof.
• 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
• Wen Li, PhD Clarkson Univ. Asst. Adj. Prof., numerical PDE
• 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)

• Kyung Ha, surface tension microfluidic modeling and analysis
• 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
• Jacob Moorman, multichannel networks
• Thomas Tu, multichannel networks
• Yoni Dukler, thin film fluids and machine learning

PhD Students (passed qualifiers)

• Kevin Miller, Machine learning for human activity
• Kaiyan Peng, optimal path planning
• Bohan Chen, optimal path planning
• Dominic Yang, multichannel Networks

Undergraduate researchers (Former undergraduate researchers)

• See web page of our summer REU program.

  Current Projects

• 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

1. NIJ graduate fellowship (Baichuan Yuan) award number 2018-R2-CX-0013 ``Large-Scale Deep Point Process Models for Crime Forecasting'', Jan 2019-Dec 2020.
2. NSF grant DGE-1829071, NRT-HDR: Modeling and Understanding Human Behavior: Harnessing Data from Genes to Social Networks, 9/2018-8/2023, ALB current PI; Wei Wang original PI.
3. DARPA, Variational Methods on Graphs for Identification on Transaction Networks, Feb 1 2018-Jan 29, 2020. Award number FA8750-18-2-0066.
4. 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
5. Simons Math + X Investigator Award number 510776. 7/2017-6/2022
6. NSF grant DMS-1659676 REU Site: Mathematical Modeling at UCLA, 7/2017-6/2020, M. Roper PI.
7. City of Los Angeles, Gang Reduction Youth Development (GRYD) Analysis Program, subaward to UCLA from CSULA, 3/2016-6/2020; P. J. Brantingham PI.
8. 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, 1/1/15-9/31/19, subaward to UCLA with P. J. Brantingham.
9. NGA NURI grant HM02101410003, "Sparsity models for spatiotemporal analysis and modeling of human activity and social networks in a geographic context", 10/24/14-4/30/20, with S. Osher, P. J. Brantingham and G. Tita (UC Irvine)