40 faculty and 0 courses in Mathematics at University of California, Santa Barbara.
- Linda Petzold, Affiliated Faculty h-index 68
Notable: “Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations” (1983) · 1,006 citations
- Zheng Liu, Faculty h-index 64
Notable: “Feedback Network for Image Super-Resolution” (2019) · 864 citations
- David Morrison, Faculty h-index 55
Algebraic Geometry, String Theory Department of Mathematics South Hall
Notable: “String theory” (1998) · 2,036 citations
- Igor Mezic, Affiliated Faculty h-index 51
Notable: “Chaotic Mixer for Microchannels” (2002) · 3,387 citations
- Gustavo Ponce, Faculty h-index 48
Non-linear PDE's Department of Mathematics South Hall
Notable: “Commutator estimates and the euler and navier‐stokes equations” (1988) · 1,876 citations
- Frederick Gibou, Affiliated Faculty h-index 40
Notable: “Simulating water and smoke with an octree data structure” (2004) · 552 citations
- Zhenghan Wang, Faculty h-index 39
Topology, Quantum Computation Department of Mathematics South Hall
Notable: “Topological quantum computation” (2002) · 671 citations
- Jeff Moehlis, Affiliated Faculty h-index 38
Notable: “The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced-choice tasks.” (2006) · 1,998 citations
- Mihai Putinar, Faculty h-index 32
Complex Analysis, Operator Theory Department of Mathematics South Hall
Notable: “Complex symmetric operators and applications” (2005) · 497 citations
- Bjorn Birnir, Chair h-index 26
Non-linear PDE's Department of Mathematics South Hall
Notable: “Excitonic Dynamical Franz-Keldysh Effect” (1998) · 210 citations
- Hector D. Ceniceros, Faculty h-index 25
Applied Mathematics Department of Mathematics South Hall
Notable: “Computation of multiphase systems with phase field models” (2003) · 687 citations
- Carlos Garcia-Cervera, Faculty h-index 24
Nonlinear PDE's, Material Science, and Computational Physics Department of Mathematics South Hall
Notable: “Stability of the Gyroid Phase in Diblock Copolymers at Strong Segregation” (2006) · 375 citations
- Paul Atzberger, Faculty h-index 23
Applied Mathematics and Computational Mathematics Department of Mathematics South Hall
Notable: “Micromagnetic selection of aptamers in microfluidic channels” (2009) · 345 citations
- Xu Yang, Faculty h-index 21
Applied & Computational Mathematics Department of Mathematics South Hall
Notable: “Gaussian beam methods for the Schrodinger equation in the semi-classical regime: Lagrangian and Eulerian formulations” (2008) · 71 citations
- Guofang Wei, Faculty h-index 20
Differential Geometry Department of Mathematics South Hall
Notable: “Comparison geometry for the Bakry-Emery Ricci tensor” (2009) · 597 citations
- Katy Craig, Faculty h-index 16
Nonlinear PDE, Optimal Transport, Calculus of Variations, and Numerical Analysis Department of Mathematics South Hall
Notable: “A blob method for diffusion” (2019) · 108 citations
- Jon McCammond, Faculty h-index 16
Geometric group theory Department of Mathematics South Hall
Notable: “Noncrossing Partitions in Surprising Locations” (2006) · 73 citations
- Xianzhe Dai, Faculty h-index 15
Geometry Analysis Department of Mathematics South Hall
Notable: “Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence” (1991) · 110 citations
- Rugang Ye, Faculty h-index 14
Differential Geometry Department of Mathematics South Hall
Notable: “Finite-time blow-up of the heat flow of harmonic maps from surfaces” (1992) · 267 citations
- Amalendu Krishna, Faculty h-index 14
Algebraic and Arithmetic Geometry, Algebraic K-theory Department of Mathematics South Hall
Notable: “Additive higher Chow groups of schemes” (2008) · 46 citations
- Sui Tang, Faculty h-index 13
Machine learning, applied and computational harmonic analysis, data analysis Department of Mathematics South Hall
Notable: “Nonparametric inference of interaction laws in systems of agents from trajectory data” (2019) · 114 citations
- Stephen Bigelow, Faculty h-index 11
Low-dimensional Topology Department of Mathematics South Hall
Notable: “Braid groups are linear” (2000) · 293 citations
- Sanjukta Krishnagopal, Affiliated Faculty h-index 10
Notable: “A brain-wide map of neural activity during complex behaviour” (2025) · 73 citations
- Maria Isabel Bueno Cachadina, Faculty h-index 10
Numerical linear algebra Department of Mathematics South Hall
Notable: “Darboux transformation and perturbation of linear functionals” (2004) · 146 citations
- Denis Labutin, Faculty h-index 9
Partial Differential Equations Department of Mathematics South Hall
Notable: “Potential estimates for a class of fully nonlinear elliptic equations” (2002) · 151 citations
- Matt Jacobs, Faculty h-index 9
Notable: “Auction dynamics: A volume constrained MBO scheme” (2017) · 55 citations
- Hanming Zhou, Graduate Vice Chair h-index 9
Inverse Problems, Partial Differential Equations, and Applied Analysis Department of Mathematics South Hall
Notable: “The geodesic X-ray transform with matrix weights” (2019) · 44 citations
- Davit Harutyunyan, Associate Professor h-index 9
Notable: “Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells” (2014) · 24 citations
- Francesc Castella, Faculty h-index 8
Notable: “Heegner cycles and p-adic L-functions” (2017) · 43 citations
- Xiaolei Zhao, Faculty h-index 8
Algebraic Geometry Department of Mathematics South Hall
Notable: “Birational models of moduli spaces of coherent sheaves on the projective plane” (2019) · 51 citations
- Adebisi Agboola, Faculty h-index 7
Number Theory Department of Mathematics South Hall
Notable: “Anticyclotomic Iwasawa theory of CM elliptic curves II” (2005) · 17 citations
- Matthias Wink, Faculty h-index 6
Notable: “New curvature conditions for the Bochner Technique” (2020) · 30 citations
- Karel Casteels, Faculty h-index 5
Notable: “A graph theoretic method for determining generating sets of prime ideals in quantum matrices” (2011) · 14 citations
- Christopher Ograin, Undergraduate Vice Chair
Applied Math, Math Education Department of Mathematics South Hall
- Holly V. Moeller, Affiliated Faculty
- Jean-Pierre Fouque (Math affiliate), Affiliated Faculty
- Ousmane Kodio, Affiliated Faculty
- Peter Garfield, Faculty
Differential Geometry, Math Education Department of Mathematics South Hall
- Ruimeng Hu (Math affiliate), Faculty
Machine Learning, Financial Mathematics, Stochastic Control and Games, Mean Field Approximation Department of Mathematics South Hall
- Zijian Yao, Faculty
Roster/catalog compiled from the college’s public directory. Faculty counts are directory headcounts; the named list may be a subset. h-index shown only for ORCID-backed or high-confidence OpenAlex matches. Data as of 2026-07-02.