RTG Instructors


Randolph E. Bank is a Professor of Mathematics at UCSD. He studies the numerical solution of partial differential equations by adaptive finite element methods. He is also interested in multilevel and domain decomposition iterative solvers for large linear systems. He received his PhD in Applied Mathematics in 1975 from Harvard University. He is a recent recipient of a Humboldt Research Award, has been named a SIAM Fellow, and is author of the finite element software package PLTMG.


Philip E. Gill is a Professor of Mathematics at UCSD. He works in the area of numerical optimization, with an emphasis on large-scale linear and nonlinear programming, constrained and unconstrained optimization, and nonlinear least-squares. He received his PhD at the Imperial College of Science and Technology, University of London in 1974. He is a coauthor of the optimization packages LSSOL, NPSOL, QPOPT and SNOPT. He is a coauthor of three books on optimization.


Michael Holst is a Professor of Mathematics and Physics at UCSD. He works in numerical analysis, applied analysis, partial differential equations, and mathematical physics. He received his Ph.D. from the University of Illinois, and was a von Karman Instructor and Prize Research Fellow in Applied Mathematics at Caltech prior to moving to UCSD in 1998. He is the recipient of an NSF CAREER Award and a Hellman Fellowship. He is the principle author of the finite element software package FETK, and is coauthor of a graduate textbook on applied analysis and partial differential equations with Ivar Stakgold.


Melvin Leok is a Professor of Mathematics at UCSD. He works in the areas of computational geometric mechanics, computational geometric control theory, and numerical analysis. He received his Ph.D. in Control and Dynamical Systems from Caltech, and was a NAS Frontiers of Science Fellow and the recipient of the NSF CAREER Award, SciCADE New Talent Prize, Leslie Fox Prize in Numerical Analysis, and the SIAM Student Paper Prize. Additionally, he is on the editorial boards of the Journal of Nonlinear Science, the SIAM Journal on Control and Optimization, the LMS Journal of Computation and Mathematics, the Journal of Geometric Mechanics, and the Journal of Computational Dynamics.


Shaoying (Kathy) Lu is a Project Scientist of Bioengineering and Lecturer of Mathematics at UCSD. She works in the areas of image-based mathematical and systems biology, with applications in molecular diffusion and live-cell imaging. She received her Ph. D. in mathematics from UCSD in 2004, and worked at University of Illinois Urbana-Champaign as a research assistant professor prior to moving to UCSD in 2013. She is a recipient of DMS/NIHGMS initiative award at the interface of mathematics and biology.


David Meyer is a Professor of Mathematics at UCSD. He works in discrete models for classical and quantum physical systems, codes and algorithms for quantum computing, and topological analysis of large datasets. He received his B.A. and M.A. in Mathematics from Johns Hopkins and his Ph.D. in Mathematics from MIT. He held visiting and postdoctoral positions in Mathematics and Physics at Syracuse, in Physics at Duke, and in Physics at UCSD before joining the UCSD Mathematics Department. He was awarded the inaugural George W. and Carol A. Lattimer Campus Professorship at UCSD.


Sheng double majored in Mathematics and Economics in Beijing University. He obtained a Ph.D. in Biostatistics and fulfilled a Ph.D. Minor of Molecular Biology at Harvard University. He worked at Stanford University and University of Illinois Urbana-Champaign before moving to UC San Diego. He received NIH Pioneer Award, NSF CAREER Award, and Alfred Sloan Fellowship. He is a fellow of American Institute for Medical and Biological Engineering (AIMBE). He serves as an Associate Editor for PLoS Computational Biology, and the contact PI for NIH Common Fund 4D Nucleome organizational hub. Eight of his previous trainees are contributing to science on tenure-track faculty positions.