Advanced Graduate Research

Student studying in the redwood grove.

Below is the list of students who have advanced to candidacy. For the full list of potential advisors, please visit Math Department Faculty or GGAM Faculty.

Faculty Adviser Grad Student Degree Sought Student Research Focus
Erik Carlsson - Math
Gregory DePaulApplied, Ph.D.
Roger Casals - Math
Angel Manuel Rodriquez LopezMath, Ph.D.Study of symplectic and contact topology via the microlocal theory of sheaves.
Alexander SimonsMath, Ph.D.Algebraic invariants in contact geometry
Jesus De Loera - Math
Brittney MarstersMath, Ph.D.Integer Points in Convex Cones
Felix Almendra HernandezMath, Ph.D.
David Doty - ECS
Joshua PetrackApplied, Ph.D.Molecular computation, particularly Thermodynamic Binding Networks
Albert Fannjiang - Math
Tait WeichtApplied, Ph.D.
Martin Fraas - Math
Connor FitzGeraldMath, Ph.D.
Matthew CorbelliMath, Ph.D.
Zhiqian (Simon) DuMath, Ph.D.
Eugene Gorskiy - Math
Ian SullivanMath, Ph.D.Khovanov homology and 4-dimensional manifolds
Joshua TurnerMath, Ph.D.
Yuze LuanMath, Ph.D.Hilbert scheme of points
Soyeon KimMath, Ph.D.Braid variety cluster structures
Tonie ScrogginMath, Ph.D.
Janko Gravner - Math
Mazy JohnsonMath, Ph.D.
Robert Guy - Math
Jeffrey NicholsApplied, Ph.D.Elastic Alfven waves, viscoelastic fluid dynamics, and numerics.
Kelli LoritschApplied, Ph.D.Flagellar analysis of microswimmers, specifically shape analysis and motor models
Hyun Soo LeeApplied, Ph.D.Steady Streaming
Joel Hass - Math
Yuan LuoApplied, Ph.D.Computational topology and geometry, and their application in machine learning. 
Alan Hastings - Math
Darian SorensonApplied, Ph.D.
Greg Kuperberg - Math
Sanchayan DuttaMath, Ph.D.QC-universality and anyonic fault-tolerance methods from 3-manifold invariants and quantum algebra
Timothy Lewis - Math
Vincent LoveroApplied, Ph.D.
Xiaodong Li - Statistics
Xiaohan HuApplied, Ph.D.High-dimensional statistics and learning
Bruno Nachtergaele - Math
Thomas (Andrew) JacksonMath, Ph.D.mathematical physics, quantum systems, topological quantum orders
Naoki Saito - Math
Brian KnightApplied, Ph.D.
Anne Schilling - Math
David KeneppMath, Ph.D.
Regina ZhouMath, Ph.D.
Mary Claire SimoneMath, Ph.D.
Lisa JohnstonMath, Ph.D.Crystal bases and symmetric functions
Jennifer Schultens - Math
Peyton WoodMath, Ph.D.Low Dimensional Topology, Knot Theory, Quandles, Racks, Legendrian Knots and Legendrian Racks
David TuMath, Ph.D.
Steve Shkoller - Math
Ryan Christopher Moreno-VasquezMath, Ph.D.Analysis of free boundary fluid PDE
Kyle ChickeringApplied, Ph.D.
Gavin PandyaMath, Ph.D.
Laura Starkston - Math
Shanon RubinMath, Ph.D.Symplectic topology, microlocal sheaf theory.
Sari OgamiMath, Ph.D.
Daniela Cortes RodriguezMath, Ph.D.Symplectic topology, Weinstein structures.
Becca Thomases - Math
Jeffrey NicholsApplied, Ph.D.Elastic Alfven waves, viscoelastic fluid dynamics, and numerics.
Abigail Thompson - Math
Trevor Oliveira-SmithMath, Ph.D.Fibered knots, sutured manifolds, and the smooth structure of 4-manifolds
Fernanda Valdovinos - ggam
Casey DuckwallApplied, Ph.D.
Monica Vazirani - Math
Stephanie GastonMath, Ph.D.Askey-Wilson algebra and its representation theory
Emi BrawleyMath, Ph.D.Combinatorial representation theory of type C double affine Hecke algebra (DAHA)
Alexander Wein - Math
Jeshu DastidarMath, Ph.D.Algorithms for finding hidden rank-1 matrices, tensor decomposition, and their improvements
Qinglan Xia - Math
Vinh Van NguyenMath, Ph.D.Optimal codebook
Michael Zhang - CEE
Shouwei HuiApplied, Ph.D.Macroscopic traffic flow control and stabilization.