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
Elysee Wilson-EgolfMath, Ph.D.
Timothy PaczynskiMath, Ph.D.
Roger Casals - Math
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.
Bryce ThomsonMath, Ph.D.
Alexander SimonsMath, Ph.D.Algebraic invariants in contact geometry
Jesus De Loera - Math
Brittney MarstersMath, Ph.D.Integer Points in Convex Cones
Jillian EddyMath, Ph.D.
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
Ian SullivanMath, Ph.D.Exotic 4-manifolds, skein lasagna modules
Soyeon KimMath, Ph.D.Braid variety cluster structures
Janko Gravner - Math
Travis KulhanekMath, Ph.D.
Robert Guy - Math
Kelli Gutierrez (Loritsch)Applied, Ph.D.Flagellar analysis of microswimmers, specifically shape analysis and motor models
Hyun Soo (Alex) LeeApplied, Ph.D.General Fluid Mechanics
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.
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.Crystal bases and symmetric functions
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
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.
Suixin (Cindy) ZhangMath, Ph.D.
Joseph Teran - Math
Junhui ShenApplied, Ph.D.
Benjamin GodkinApplied, Ph.D.Simulating brittle fracture for applications in computer graphics
Zhenhan ZhaoApplied, Ph.D.
Ruicong (Claire) ZhengApplied, Ph.D.Simulation of articulated rigid bodies with the application of constraints
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 - Ecology
Lauren MossmanApplied, Ph.D.
Alaina StockdillApplied, Ph.D.
Casey DuckwallApplied, Ph.D.Population Dynamical Modeling in Complex Ecosystems
Monica Vazirani - Math
Stephanie GastonMath, Ph.D.Askey-Wilson algebra and its representation theory
Jake QuinnMath, Ph.D.
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.Exotic 4-manifolds, skein lasagna modules