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Previous Geometry/Topology Research Ph.D.s
For our most recent Ph.D.s, see Geometry/Topology Research.

2006

Alfonso Gracia-Saz (Alan Weinstein) The Symbol of a Function of a Pseudodifferential Operator
Thomas R. Fleming (UCSD) (Peter Teichner) Generalized Link Homotopy Invariants
J. Elisenda Grigsby (Robion Kirby) Knot Floer Homology in Cyclic Branched Covers
Henning Hohnhold (UCSD) (Peter Teichner) Supersymmetry in the Stolz-Teichner Project on Elliptic Cohomology
Rajan Mehta (Alan Weinstein) Supergroupoids, Double Structures, and Equivariant Cohomology

2005

Norah Esty (Charles Pugh) Orbit Structures for Groups of Homeomorphism on SI
Todor Milanov (Alexander Givental) Singularity Theory and Integrable Systems
Mark Warren Rinker (John Stallings) Height Functions, Maps to the Integers, and the Whitehead Graph of a Finite Presentation
Hsian-Hua Tseng (Alexander Givental) Quantum Riemann-Roch, Lefschetz and Serre Theorems for Orbifold Gromov-Witten Theory

2004

H. Tracy Hall (Robion Kirby) Counterexamples in Discrete Geometry
Tamas Kalman (Michael Hutchings and Robion Kirby) Contact Homology and One Parameter Families of Legendrian Knots
Robert Myers (Charles Pugh) Global Transverse Disks and Suspendibility Criteria
Nicholas Proudfoot (Allen Knutson) Hyperkahler Analogues of Kahler Quotients
Kevin Purbhoo (Allen Knutson) Vanishing and Non-Vanishing Criteria for Branching Schubert Calculus
Lawrence Roberts (Robion Kirby) Heegaard-Floer Homology and d-Based Links in Three Manifolds
Xiang Tang (Alan Weinstein) Quantization of Noncommutative Poisson Manifolds
Marco Zambon (Alan Weinstein) Submanifold Averaging in Riemannian, Symplectic and Contact Geometry
Chenchang Zhu (Alan Weinstein) Integrating Lie Algebroids via Stacks and Applications to Jacobi Manifolds

2003

Donald Barkauskas (John Stallings) Centralizers in Fundamental Groups of Graphs of Groups
Michael Burns (Vaughan Jones) Subfactors, Planar Algebras and Rotations
Tom Coates (Alexander Givental) Riemann-Roch Theorems in Gromov-Witten Theory
Megumi Harada (Allen Knutson) The Symplectic Geometry of the Gel'fand-Cetlin-Molev Basis for Representation of Sp(2n,C)
Andrew Miller (Charles Pugh) Upsiloids with Nonpositive Curvature
Alexandru Scorpan (Robion Kirby) Existence of Foliations on 4-Manifolds
Christopher Tuffley (Robion Kirby) Finite Subset Spaces of Graphs and Surfaces

2002

Tolga Etgu (Robion Kirby) Symplectic Forms on Product Four-Manifolds
Charles G. Holton (John Wagoner) The Rohlin Property for SFT C*-Automorphisms and Ergodic Properties of 3-Interval Exchanges
Olga Valerievna Radko (Alan Weinstein) Some Invariants of Poisson Manifolds
Sarah Anne Reznikoff (Vaughan Jones) Representations of the Temperley-Lieb Planar Algebra

2001

Henrique Bursztyn (Alan Weinstein) Morita Equivalence in Deformation Quantization
Benjamin Lent Davis (Alan Weinstein) On Poisson Spaces Associated to Finitely Generated Poisson R-Algebras
Karen Edwards (Andrew Casson) Stabilizations of Heegaard Splittings with Respect to Connect-Sums of 3-Manifolds
Saul Schleimer (Andrew Casson) Almost Normal Heegaard Splittings
Robert Schneiderman (Robion Kirby and Peter Teichner) 4-Dimensional Intersection Numbers of Knots and Links in 3-Manifolds

2000

Aaron Abrams (Andrew Casson) Configuration spaces and braid groups of graphs
Stephen Bigelow (Robion Kirby) Homological Representations of Braid Groups
Danny Calegari (Andrew Casson) Thesis title: Foliations and the Geometry of Three-Manifolds
Hsiang-Ping Huang (Vaughan Jones) Commutators Associated to a Subfactor and Its Relative Commutants
Sungjoon Ko (Robion Kirby) More about Tight Contact Structures on Lens Space
Johanna Neaderhouser (Morris Hirsch) Classifying One-Dimensional Attractors in Flows on Surfaces
Dylan Paul Thurston (Vaughan Jones) Wheeling: A Diagrammatic Analogue of the Duffo Isomorphism
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