Dissertations

2024

2023

2022

2021

2020

2019

2018

Sergio Da SilvaOn the Gorensteinization of Schubert varieties via boundary divisors
Advisor: 
Allen Knutson
Balázs ElekToric surfaces with Kazhdan-Lusztig atlases
Advisor: 
Allen Knutson
My HuynhThe Gromov Width of Symplectic Cuts of Symplectic Manifolds.
Advisor: 
Tara Holm
Hossein Lamei RamandiDerived character maps of Lie representations and Chern-Simons forms
Advisor: 
Justin Moore
Aliaksandr PatotskiDerived characters of Lie representations and Chern-Simons forms
Advisor: 
Yuri Berest
Ying-Ying TranComputably enumerable boolean algebras
Advisor: 
Anil Nerode
Drew ZemkeSurfaces in Three- and Four-Dimensional Topology
Advisor: 
Jason Manning

2017

Theodore HuiA radical characterization of abelian varieties
Advisor: 
David Zywina
Daniel MillerCounterexamples related to the Sato–Tate conjecture
Advisor: 
Ravi Ramakrishna
Lihai QianRigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions
Advisor: 
Xiaodong Cao
Valente Ramirez Garcia LunaQuadratic vector fields on the complex plane: rigidity and analytic invariants
Advisor: 
Yulij Ilyashenko
Iian SmytheSet theory in infinite-dimensional vector spaces
Advisor: 
Justin Moore
Zhexiu TuTopological representations of matroids and the cd-index
Advisor: 
Edward Swartz
Wai-kit YeungRepresentation homology and knot contact homology
Advisor: 
Yuri Berest

2016

Lucien ClavierNon-affine horocycle orbit closures on strata of translation surfaces: new examples
Advisor: 
John Smillie
Voula CollinsCrystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space
Advisor: 
Allen Knutson
Pok Wai FongSmoothness Properties of symbols, Calderón Commutators and Generalizations
Advisor: 
Camil Muscalu
Tom KernNonstandard models of the weak second order theory of one successor
Advisor: 
Anil Nerode
Robert KeslerUnbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators
Advisor: 
Camil Muscalu
Yao LiuRiesz Distributions Assiciated to Dunkl Operators
Advisor: 
Yuri Berest
Scott MessickContinuous atomata, compactness, and Young measures
Advisor: 
Anil Nerode
Aaron PalmerIncompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity
Advisor: 
Timothy J. Healey
Kristen PueschelOn Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups
Advisor: 
Timothy Riley
Chenxi WuTRANSLATION SURFACES: SADDLE CONNECTIONS, TRIANGLES AND COVERING CONSTRUCTIONS
Advisor: 
John Smillie

2015

David BelangerSets, Models, And Proofs: Topics In The Theory Of Recursive Functions
Advisor: 
Richard A. Shore
Cristina BeneaVector-Valued Extensions for Singular Bilinear Operators and Applications
Advisor: 
Camil Muscalu
Kai Fong Ernest ChongFace Vectors and Hilbert Functions
Advisor: 
Edward Swartz
Laura Escobar VegaBrick Varieties and Toric Matrix Schubert Varieties
Advisor: 
Allen Knutson
Joeun JungIterated trilinear fourier integrals with arbitrary symbols
Advisor: 
Camil Muscalu
Yasemin KaraThe laplacian on hyperbolic Riemann surfaces and Maass forms
Advisor: 
John H. Hubbard
Chor Hang LamHomological Stability Of Diffeomorphism Groups Of 3-Manifolds
Advisor: 
Allen Hatcher
Yash LodhaFiniteness Properties And Piecewise Projective Homeomorphisms
Advisor: 
Justin Moore
Timothy Riley
Radoslav ZlatevExamples of Implicitization of Hypersurfaces through Syzygies
Advisor: 
Michael E. Stillman