Resume/CV
Education:
Publications:
Research Interests:
Technical Skills:
Employment:
Ph. D. in Applied Mathematics
M.A. in Applied Mathematics
B.S. in Applied Mathematics
University of California, Los Angeles
2012
University of California, Los Angeles
2008
University of California, Los Angeles
2008
- Advisor: Andrea L. Bertozzi
- GPA: 4.0
- Departmental Scholar (joint B.S. / M.A. program)
- GPA: 3.88
J. H. von Brecht and A. L. Bertozzi. Well-Posedness Theory for Aggregation Sheets. Submitted to Communications in Mathematical Physics, 2011.
J. H. von Brecht and D. Uminsky. Linearized Inverse Statistical Mechanics. Accepted to Journal of Nonlinear Science, 2011.
J. H. von Brecht, D. Uminsky, T. Kolokolnikov and A. L. Bertozzi. Predicting Pattern Formation in Particle Interactions. To appear in Mathematical Models and Methods in Applied Sciences, 2011.
J. Bedrossian, J. H. von Brecht, S. Zhu, E. Sifakis and J. M. Teran. A second order virtual node method for elliptic problems with interfaces and irregular domains. Journal of Computational Physics, 2010.
J. H. von Brecht, S. R. Thiruvenkadam and T. F. Chan. Occlusion Tracking Using Logic Models. 9th IASTED Conference on Signal and Image Processing, 2007.
Teaching Assistant - University of California, Los Angeles.
2008-2011
2008-2011
2006-2007
2007-2008
Lab Assistant - University of California, Los Angeles.
Research Assistant - University of California, Los Angeles.
Intern - HRL, Malibu, California.
-Held twice weekly lectures for courses in graduate-level differential equations and undergraduate-level nonlinear dynamical systems, differential equations, linear algebra and multivariable calculus.
-Responsible for grading homeworks and exams, holding office hours and providing a weekly drop-in tutoring session
-Wrote C software for simulation and OpenGL software for visualization of particle self-assembly processes and the collective motion of autonomous robots
-Invented mathematical tools to predict pattern formation in agent-based models with non-local dynamics, and used these tools to design self-assembled structures that exhibit complex patterns
-Implemented several random graph models and incorporated them into the dynamics
-Used tools from random matrix theory to study how random graph models affect the mathematical properties of the resulting dynamics
-Developed an easy to use and highly accurate finite-element based numerical algorithm for solving variable coefficient elliptic PDEs with interfaces or irregular domains
-Implemented and incorporated the algorithm into PhysBAM, the research group’s C++ library for physics based modeling, computer graphics and scientific computing
-Designed and wrote a MATLAB implementation of a variational level-set method for unsupervised segmentation of multi-phase images
-Supervised and organized the 12 week summer research program of three undergraduates
-Taught the students the necessary background mathematics and advised them in the modification and implementation of an algorithm for multiple object video detection and tracking
-Applied level-set methods and shape priors in an algorithm for tracking occluded objects in video
-Implemented a probabilistic algorithm in MATLAB for image super-resolution as part of a proprietary project for Boeing
-Employed Bayesian inference, Expectation Maximization and optical flow techniques to provide a state-of-the-art algorithm as a basis of comparison against Boeing’s algorithm
Variational image processing, computational physics, fluid dynamics, nonlinear partial differential equations, analysis, inverse problems, dynamical systems, mathematical biology
Operating Systems: Mac OS X, Linux, Windows
Programming: C/C++, MATLAB, NumPy/SciPy, Latex
James H. von Brecht
A PDF version of my CV
Honors and Awards:
National Science Foundation VIGRE Fellowship
2008
2008
2008
2008
2006-2008
2008
2003-2008
Departmental Highest Honors
Summa Cum Laude
Phi Beta Kappa
Sherwood Prize (top mathematics undergraduate as determined by faculty)
Departmental Scholar
Dean’s Honors List