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
Javier Arsuaga - Math
Zhijie WangApplied, Ph.D.
Eric Babson - Math
Timothy PaczynskiMath, Ph.D.
Elysee Wilson-EgolfMath, Ph.D.
Roger Casals - Math
Alexander SimonsMath, Ph.D.Algebraic invariants in contact geometry
Angel Manuel Rodriquez LopezMath, Ph.D.Contact and symplectic topology, with a focus on sheaf-theoretic categorical invariants of Legendrian and Lagrangian submanifolds.
Kaveh SayehMath, Ph.D.
Kenton KeMath, Ph.D.
Jesus De Loera - Math
Jillian EddyMath, Ph.D.
Brittney MarstersMath, Ph.D.Integer Points in Convex Cones
Albert Fannjiang - Math
Tait WeichtApplied, Ph.D.Algorithms for tensor decomposition and orbit recovery problems from cryo-EM
Martin Fraas - Math
Connor FitzGeraldMath, Ph.D.Quantum Trajectories on infinite dimensional Hilbert spaces
Zhiqian (Simon) DuMath, Ph.D.Functional analysis aspects of topological insulators, index theory of quantum many body system
Eugene Gorskiy - Math
Soyeon KimMath, Ph.D.Braid variety cluster structures
Ian SullivanMath, Ph.D.Exotic 4-manifolds, skein lasagna modules
Janko Gravner - Math
Travis KulhanekMath, Ph.D.
Robert Guy - Math
Hyun Soo (Alex) LeeApplied, Ph.D.General Fluid Mechanics
Kelli Gutierrez (Loritsch)Applied, 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. 
Alan Hastings - Environmental Science and Policy
Jennifer PaigeApplied, Ph.D.
Adam Jacob - Math
Evan OrtizMath, Ph.D.
Matthias Koeppe - Math
Acadia LarsenApplied, Ph.D.Parametric models of cut generating functions and their application to the cut and branch algorithm
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.High performance computing and numerical linear algebra with applications to bifurcation analysis in high dimensional, biophysically detailed models of cardiac tissue
Duc HoangApplied, Ph.D.
Martin Luu - Math
Houbo WangMath, Ph.D.Cartan-Coxeter correspondence and its application to cyclic element
Bruno Nachtergaele - Math
Robert FerydouniMath, Ph.D.
Naoki Saito - Math
Brian KnightApplied, Ph.D.Feature Extraction Methods in Image Processing
Anne Schilling - Math
Lisa JohnstonMath, Ph.D.Crystal bases and symmetric functions
Evuilynn NguyenMath, Ph.D.
Mary Claire SimoneMath, Ph.D.Crystal bases and symmetric functions
Regina ZhouMath, Ph.D.
Jennifer Schultens - Math
Alexis (Ally) Nagasawa-HinckMath, Ph.D.
Peyton WoodMath, Ph.D.Low Dimensional Topology: Knots, Surface Knots, Knot Mosaics, Legendrian Knots; Algebra: Quandles, Racks, Legendrian Racks, Automorphism Groups
Maike Sonnewald - Computer Science
Makayla McDevittApplied, Ph.D.Using unsupervised and supervised learning to identify and predict ocean regions
Laura Starkston - Math
Suixin (Cindy) ZhangMath, Ph.D.
Sari OgamiMath, Ph.D.Symplectic fillings and braid factorizations
Daniela Cortes RodriguezMath, Ph.D.Low dimensional topology, particularly contact and symplectic structures on 3- and 4-dimensional manifolds, as well as the knots and surfaces they contain.
Joseph Teran - Math
Ruicong (Claire) ZhengApplied, Ph.D.Simulation of articulated rigid bodies with the application of constraints
Zhenhan ZhaoApplied, Ph.D.
Junhui ShenApplied, Ph.D.
Benjamin GodkinApplied, Ph.D.Simulating brittle fracture for applications in computer graphics
Abigail Thompson - Math
Trevor Oliveira-SmithMath, Ph.D.Surgery on knots in 3-manifolds and their relation to the smooth structure of certain 4-manifolds. More specifically, singular fibrations of knot complements and their relation to the smooth homology cobordism group.
Fernanda Valdovinos - ggam
Casey DuckwallApplied, Ph.D.Population Dynamical Modeling in Complex Ecosystems
Lauren MossmanApplied, Ph.D.
Alaina StockdillApplied, Ph.D.
Monica Vazirani - Math
Emi BrawleyMath, Ph.D.Combinatorial representation theory of type C double affine Hecke algebra (DAHA)
Stephanie GastonMath, Ph.D.Askey-Wilson algebra and its representation theory
Jake QuinnMath, Ph.D.
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.Exotic 4-manifolds, skein lasagna modules