Former Students of Andrea L Bertozzi

List of PhD students I have advised or co-advised

1. James Chapman (UCLA 2025) , Inductive Biases in Multi-Stage Machine Learning Problems and Applications, joint with Guido Montufar, starting a new position at Google.
2. Victoria Kala (UCLA 2024) Thermomechanical Material Point Methods for Simulation of Burning and Melting Solids, joint with Joseph Teran (UC Davis), postdoc Univ. of Utah
3. Bohan Chen (UCLA 2024), Exploring the Frontier of Graph-based Approaches for Image and Document Analysis, postdoc Applied Math, Caltech
4. Joel Barnett (UCLA 2024), Inverse Problems in Mathematical Imaging with Applications in Multiplicative Noise Removal, Remotely Sensed Atmospheric Wind Velocity Estimation, and Turbulent Fluid Simulation, joint with Luminita Vese
5. Jason Brown (UCLA 2024), Improving Image Feature Detection and Classification in Low-Label Regime with Deep and Classical Methods, Red Violet Inc.
6. Yotam Yaniv (UCLA 2024), Kaczmarz Methods and Structured Matrix Decompositions, joint with Deanna Needell, postdoc Lawrence Berkeley National Lab
7. Yurun Ge (UCLA 2023), Active Learning for the Subgraph Matching Problem, Postdoc with Maria D'Orsogna at CSUN and UCLA Department of Computational Medicine
8. Hedi Xia (UCLA 2023), joint with Stan Osher Towards Faster and More Accruate Neural ODEs, Machine Learning Engineer, Pinterest
9. Dominic Yang (UCLA 2023) Exploiting Symmetry in Subgraph Isomorphism and Formulating Neural Network Constrained Optimization Problems, Postdoc, Argonne National Laboraotory
10. Bohyun Kim (UCLA 2023) Theory of Positivity-Preserving Numerical Methods for Thin Viscous Liquids Flowing Down Vertical Fibers , Postdoc Univ. Utah
11. Xia Li (UCLA 2022), joint with Deanna Needell Mathematical modeling of epidemics and adversarial learning in distributed systems , Data Scientist, Microsoft
12. Yujia Qi (UCLA MAE 2022) Microvascular Hydrodynamics: Structure and /a> Adaptation Principles, co-advised with Marcus Roper
13. Kaiyan Peng (UCLA 2022) Mathematical Modeling of Disease Dynamics, Opinion Dynamics, and Environmental Crimes, joint with Mason Porter, Research Scientist, Meta
14. Kyung Ha (UCLA 2022) Mathematical Modeling and Theory of Microencapsulation and Inertial Migration, Postdoc Purdue Univ. 2022-23; Currently at IDA
15. Kevin Miller (UCLA 2022) Active Learning and Uncertainty in Graph-Based Semi-Supervised Learning , Asst. Prof. BYU
16. Yonatan Dukler (UCLA 2021), Part I: The geometry and manipulation of natural data for optimizing neural networks Part II: A theory for undercompressive shocks in tears of wine, Applied Data Scientist, Amazon AWS
17. Thomas K. Tu (UCLA 2021), Subgraph Matching on Attributed Multiplex Networks with Applications to Knowledge Graphs Senior Scientist, STR Research
18. Jacob Moorman (UCLA 2021), joint with Deanna Needell Stochastic Optimization and Subgraph Search
19. Hao Li (UCLA 2020), Graph Based Learning and Data Analysis, Financial Engineer, Frec
20. Christian Parkinson (UCLA 2020), joint with Stanley Osher, Models for Human Navigation and Optimal Path Planning Using Level Set Methods and Hamilton-Jacobi Equations, Asst. Prof. tenure track, Michigan State Univ.
21. Baichuan Yuan (UCLA 2020), Large-scale and Deep Spatiotemporal Point-Process Models, Research Scientist, Facebook
    
    
22. Geoffrey S. Iyer (UCLA 2018) Graph-Based Data Fusion Methods , Google CA
    
23. Zachary Mark Boyd (UCLA 2018) Community detection using total variation and surface tension
    Assistant Professor BYU
    
24. Fangbo Zhang (UCLA 2018) A Blob Method for Advection-Diffusion-Reaction Systems with Application to Robotic Swarms
    Facebook
    
25. Xiyang Luo (UCLA 2018) Analysis and Application of Graph-Based Semi-Supervised Learning Methods
    Staff Research Engineer, Google DeepMind
    
26. Zhaoyi Meng (UCLA 2017) High Performance Computing and Real Time Software for High Dimensional Data Classification
    Google CA
27. Jeffrey Wong (UCLA 2017) Modeling and analysis of thin-film incline flow: bidensity suspensions and surface tension effects
    Griffiths Assistant Research Professor, Duke University
28. Travis Robert Meyer (UCLA 2017) Energy Models for Signal Processing and Matrix Factorization
29. Charles Zachary Marshak (UCLA 2017-joint with Mason Porter)
    Applications of Network Science to Criminal Networks, University Education, and Ecology
    Signal Analysis Engineer at NASA Jet Propulsion Lab
30. Joseph Woodworth (UCLA 2016)
    Numerical Optimization Methods for Image Processing and Machine Learning
    Senior Softhware Engineer, Google, CA
31. Konstantin Dragomiretskiy (UCLA 2015)
    Variational Methods in Signal Decomposition and Image Processing
    Vice President - Strategist, Securitized Products Group, Morgan Stanley, New York, NY
32. Huiyi Hu (UCLA 2015)
    Graph Based Models for Unsupervised High Dimensional Data Clustering and Network Analysis
    Research Engineer, Google DeepMind, CA
33. Ekaterina (Merkurjev) Rapinchuk (UCLA 2015)
    Variational and PDE-based methods for big data analysis, classification and image processing using graphs
    UC Presidents Postdoctoral Fellowship, UCSD; Assistant Professor, Michigan State Univ.
34. Alan Mackey (UCLA 2015 - joint with Stan Osher)
    Part I: Steady States in Two-Species Particle Aggregation; Part II: Sparse Representations for Multiscale PDE
    Google Deep Mind
35. Joseph R. Zipkin (UCLA 2014)
    Mathematical Models and Methods for Behavior in Social Networks: Urban Crime, Self-Exciting Interactions, and Information Spread
    Cyber Security Research Group Leader, MIT Lincoln Laboratory, Lexington MA
36. Alexey Stomakhin (UCLA 2013 - joint with Joseph Teran)
    Part I: Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions Part II: Constitutive Modeling in Solid Mechanics for Graphics Applications
    Principal Researcher, Weta FX
37. Hui Sun (UCLA 2013)
    Singular Solutions and Pattern Formation in Aggregation Equations
    Postdoc, UCSD; Assoc. Prof. CSULB
38. Tijana Kostic (UCLA 2013)
    Threshold Dynamics for Statistical Density Estimation and Graph Clustering
    Senior Sofware Engineer, The Trade Desk, Denver
39. James von Brecht (UCLA 2012)
    Pattern Formation in Particle Interactions
    Postdoc, UCLA Mathematics 2012-2014; currently Assoc. Prof. CSU Long Beach
40. Laura Smith Chowdhury (UCLA 2012)
    Incorporating Spatial Information into Density Estimates and Street Gang Models
    Postdoc, Information Sciences Institute, USC 2012-13; Professor, Cal State Fullerton
41. Rachel Anne Hegemann (UCLA 2012)
    Spatially embedded social networks: dynamic models and data reconstruction
    Fullbright Fellowship, Univ. Muenster, 2012-2014; Research division of SMA Solar Technology, 2014-
42. Erik Lewis (UCLA 2012)
    Estimation Techniques for Self-Exciting Point Processes with Applications to Criminal Behavior
    Head of Customer Success, SigOpt San Francisco
43. Matthew Mata (UCLA 2011)
    Particle-laden thin film flow: An alternating direction implicit scheme and comparison between theory, numerical simulations, and experiments
    Postdoctoral Scholar, UCSB Mathematics, 2011-14; Instructor, El Camino College, Torrence, CA 2014-present
    
44. Jacob Bedrossian (UCLA 2011, Joseph Teran co-advisor)
    Part I: A Virtual Node Method for Elliptic Interface Problems Part II: Local and Global Theory of Aggregation Equations with Nonlinear Diffusion
    NSF Postdoctoral Scholar, Courant Institute, NYU, 2011-14; Professor, Univ. Maryland until 2020; Currently Professor of Mathematics, UCLA
    
45. Alexander S-Ban Chen (UCLA 2011)
    Boundary Tracking in Large Data Sets and Modeling the Evolution of Landscapes
    Postdoctoral Scholar, SAMSI and UNC Chapel Hill, 2011-15; GE Research 2015-2019; Asst. Prof. tenure track Cal State Dominguez Hills, 2019-present
    
46. Nancy Rodriguez (UCLA 2011)
    Applied Partial Dirential Equations in Crime Modeling and Biological Aggregation
    NSF Postdoctoral Scholar, Stanford University, 2011-14; currently Assoc. Professor, Univ. Colorado Boulder
    
47. Wenhua Gao (UCLA 2011)
    The Laplace-Beltrami Operator in a Level Set Framework and Its Applications
    Intern PIMCO, Newport Beach, CA, Spring 2011; Financial Engineer, OTC Derivative team, Bloomberg LP, New York, 2011-present; VP Nomura 2018-2020; Director, Shenwan Hongyuan Securities Co. (Shanghai) 2020-present
    
48. Wangyi (Bobby) Liu (UCLA 2011)
    Two Dynamical System Models Based on Real-World Scenarios: a Swarming Control Model and a Surface Tension Model
    Postdoctoral Scholar, Petascale Initiative , Lawrence Berkeley National Laboratory, 2011-13; Google Shanghai 2013-2014; Google, CA 2014-
    
49. Yifei Lou (UCLA 2010 - joint with Stefano Soatto (CS))
    Local, Non-local and Global Methods in Image Reconstruction
    Postdoctoral Scholar, Georgia Tech (2011), UCSD/UCLA (2012-13); Postdoc UC Irvine 2013-14; recently Asst. and Assoc. Prof. UT Dallas; Assoc. Professor, UNC Chapel Hill
    
50. Yanghong Huang (UCLA 2010)
    Self-Similar Blowup Solutions of the Aggregation Equation
    Postdoctoral Scholar, Simon Fraser University, 2010-2012; Chapman Fellow in Mathematics, Imperial College London, 2012-2015,
    Lecturer (tenure) The University of Manchester, UK
51. Julia Dobrosotskaya (UCLA 2009)
    Wavelet analogue of Ginzburg-Landau energy, its $\Gamma$ convergence and applications
    Postdoctoral Scholar, Univ. of Maryland 2009-13; Assoc. Prof. Case Western Reserve University 2013-
    
52. Hsiang-Wei Lu (UCLA Mechanical and Aerospace Engineering, 2007, CJ Kim co-advisor)
    Fluid Dynamics of an Electrowetting Drop: Theories, Simulations, and Experiments
    Senior Mechanical Engineer at Autonomous Medical Devices Inc.
53. Benjamin Cook (UCLA 2007)
    Lubrication Models for Particle-Laden Thin Films
    Data Scientist Director, Capitol One 2019-present
54. Alan Gillette (UCLA 2006)
    Image Inpainting Using a Modified Cahn-Hilliard Equation
    President, Heaviside Wealth Management, Financial Services (2010-2017); Data Scientist, Appriss (2016-2023), Principal Data Scientist, Berkshire Hathaway Homestate Companies 2023-current
55. Yao-Li Chuang (PhD in Physics, Duke University 2006)
    Stability and Scalability of 2D Swarming Patterns
    Postdoctoral scholar, UC Irvine, Dept. of Mathematics 2007-8, Univ. of Texas Medical Center 2009-10;Univ. New Mexico Department of Pathology; Cal State U Northridge.
56. John Greer (Duke University 2003)
    Fourth order diffusions for image processing
    NSF Postdoctoral Fellow, Courant Institute of Mathematics Sciences, 2004-7
    National Geospatial Intelligence Agency, 2007-2023; Geospatial Data Science Department Head at the Applied Research Lab of Penn State, 2023-current
57. Ted Welsh (Duke University 2003)
    Mathematical modeling of landscape erosion: convergence, singularities, and shocks in a continuous, trasport-limited model
    Professor at Westfield State University
58. Liya Zhornitskaya (Duke University 1999)
    Positivity Preserving Numerical Schemes for Lubrication Equations
    Postdoc, Univ. of Bonn, Germany and Univ. of Utah, 1999-2003, now deceased.

Masters Students I have advised or co-advised