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
Eric Babson - Math
Jake GarciaMath, Ph.D.
Elysee Wilson-EgolfMath, Ph.D.Vassiliev knot invariants from exceptional Lie algebras
Timothy PaczynskiMath, Ph.D.
Erik Carlsson - Math
Jonathan EricksonMath, Ph.D.
Roger Casals - Math
Allison WongMath, Ph.D.
Kaveh SayehMath, Ph.D.Sheaf-theoretic invariants in contact topology
Kenton KeMath, Ph.D.
Alexander SimonsMath, Ph.D.Algebraic invariants in contact geometry
Bryce ThomsonMath, Ph.D.
Rishidev Chaudhuri - Math
Valerie FongApplied, Ph.D.Temporal computation through dynamically critical neural networks
Yubei Chen - Electrical and Computer Engineering
Alexander RichardsonApplied, Ph.D.
Jesus De Loera - Math
Yu (Anna) LuoApplied, Ph.D.
Jillian EddyMath, Ph.D.Combinatorial geometry
Anouk BroseMath, Ph.D.
Xiucai Ding - Statistics
Chen QianApplied, Ph.D.Time series analysis
Martin Fraas - Math
Ana SammelApplied, Ph.D.Quantum adiabatic theory using a feedback loop
Connor FitzGeraldMath, Ph.D.Quantum Trajectories on infinite dimensional Hilbert spaces
Elena Fuchs - Math
Thomas AllenMath, Ph.D.
Eugene Gorskiy - Math
Soyeon KimMath, Ph.D.Braid variety cluster structures
Janko Gravner - Math
Travis KulhanekMath, Ph.D.Random Cellular Automata
Robert Guy - Math
Alana BaileyApplied, Ph.D.Reinforcement learning for effective swimming gaits at the microscale
Kenneth BrownMath, Ph.D.Numerical methods for fluid dynamics; analysis and extensions of the constraint immersed boundary method
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.Dynamical modeling of ecological systems; Machine learning for Earth systems modeling
Sameer Iyer - Math
Noah WiesnerApplied, Ph.D.
Adam Jacob - Math
Evan OrtizMath, Ph.D.
Mina Karzand - Statistics
Matthew StoneApplied, 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
Daniel QinMath, Ph.D.
Sanchayan DuttaMath, Ph.D.Theoretical quantum computing
Timothy Lewis - Math
Duc HoangApplied, Ph.D.Mathematical and Computational Frameworks for Modeling Dopamine Dynamics and Efficient Nonlinear Optimization
Bruno Nachtergaele - Math
Robert FerydouniMath, Ph.D.Quantum spin systems, topological phases, phase transitions
Anne Schilling - Math
Regina ZhouMath, Ph.D.
Lisa JohnstonMath, Ph.D.Algebraic combinatorics and representation theory related to symmetric functions, crystal bases, and other combinatorial models
Evuilynn NguyenMath, Ph.D.Symmetric functions using Crystals and Lattice Models
Sebastian Schreiber - Evolution and Ecology
Xuan (Kelsy) FeiApplied, Ph.D.
Jennifer Schultens - Math
Alexis (Ally) Nagasawa-HinckMath, Ph.D.Low-dimensional topology, knot theory, mosaics
Hannah MoonMath, Ph.D.Kakimizu complex of Seifert surfaces
Josiah CowinMath, Ph.D.
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.
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.
Thomas Strohmer - Math
Jonathan ForstaterApplied, Ph.D.
Joseph Teran - Math
Zhenhan ZhaoApplied, Ph.D.Computer graphics, rigid body dynamics, collision handling
Alexander RichardsonApplied, Ph.D.
Junhui ShenApplied, Ph.D.Simulation of deformable and rigid dynamics
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.Population Dynamical Modeling in Complex Ecosystems
Casey DuckwallApplied, Ph.D.Mathematical modeling of complex ecological systems
Alaina StockdillApplied, Ph.D.
Monica Vazirani - Math
Jake QuinnMath, Ph.D.
Andrew Waldron - Math
Ilana UdlerMath, Ph.D.
Can GormezMath, Ph.D.Parabolic and contact geometries and their applications, with a particular focus on contact projective structures, quantization, and convex hypersurfaces