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
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
Albert Fannjiang - Math
Tait WeichtApplied, Ph.D.
Martin Fraas - Math
Zhiqian (Simon) DuMath, Ph.D.
Connor FitzGeraldMath, Ph.D.
Eugene Gorskiy - Math
Ian SullivanMath, Ph.D.Khovanov homology and 4-dimensional manifolds
Soyeon KimMath, Ph.D.Braid variety cluster structures
Robert Guy - Math
Hyun Soo (Alex) LeeApplied, Ph.D.Steady Streaming
Kelli LoritschApplied, Ph.D.Flagellar analysis of microswimmers, specifically shape analysis and motor models
Joel Hass - Math
Yuan LuoApplied, Ph.D.Computational topology and geometry, and their application in machine learning. 
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.
Bruno Nachtergaele - Math
Robert FerydouniMath, Ph.D.
Naoki Saito - Math
Brian KnightApplied, Ph.D.
Anne Schilling - Math
Regina ZhouMath, Ph.D.
Lisa JohnstonMath, Ph.D.Crystal bases and symmetric functions
Evuilynn NguyenMath, Ph.D.
Mary Claire SimoneMath, Ph.D.
Jennifer Schultens - Math
Peyton WoodMath, Ph.D.Low Dimensional Topology, Knot Theory, Quandles, Racks, Legendrian Knots and Legendrian Racks
Steve Shkoller - Math
Ryan Christopher Moreno-VasquezMath, Ph.D.Analysis of free boundary fluid PDE
Laura Starkston - Math
Sari OgamiMath, Ph.D.
Daniela Cortes RodriguezMath, Ph.D.Symplectic topology, Weinstein structures.
Suixin (Cindy) ZhangMath, Ph.D.
Joseph Teran - Math
Junhui ShenApplied, Ph.D.
Abigail Thompson - Math
Trevor Oliveira-SmithMath, Ph.D.Fibered knots, sutured manifolds, and the smooth structure of 4-manifolds
Fernanda Valdovinos - Ecology
Lauren MossmanApplied, Ph.D.
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)
Andrew Waldron - Math
Ilana UdlerMath, Ph.D.
Alexander Wein - Math
Jeshu DastidarMath, Ph.D.Algorithms for finding hidden rank-1 matrices, tensor decomposition, and their improvements
Melissa Zhang - Math
Ian SullivanMath, Ph.D.Khovanov homology and 4-dimensional manifolds