The Gauss curvature flow: regularity and asymptotic behavior
Kyeongsu Choi, May 2017 (Advisor: P. Daskalopoulos)
Tropical geometry of curves with large theta characteristics
Ashwin Deopurkar, May 2017 (Advisor: J. de Jong)
Linear stability of Schwarzschild spacetime
Jordan Keller, May 2017 (Advisor: M.T. Wang)
A large sieve zero density estimate for Maass cusp forms
Paul Dunbar Lewis, May 2017 (Advisor: D. Goldfeld)
Distinguished representations of the metaplectic cover of GL(n)
Vladislav Petkov, May 2017 (Advisor: D. Goldfeld)
Stable basis and quantum cohomology of cotangent bundles of flag varieties
Changjian Su, May 2017 (Advisor: A. Okounkov)
Unoriented skein relations for grid homology and tangle Floer homology
ChuenMing Michael Wong, May 2017 (Advisor: R. Lipshitz/P. Ozsváth)
Relative orbifold DonaldsonThomas theory and the degeneration formula
Zijun Zhou, May 2017 (Advisor: C.C. M. Liu)
Conformally invariant random planar objects
Stéphane Benoist, May 2016 (Advisor: J. Dubédat)
Dynamics of large rankbased systems of interacting diffusions
Cameron Bruggeman, May 2016 (Advisor: I. Karatzas)
Kuranishi atlases and genus zero GromovWitten invariants
Robert Castellano, May 2016 (Advisor: D. McDuff)
A local relative trace formula for spherical varieties
Ioan Filip, May 2016 (Advisor: W. Zhang)
Quasilocal energy and isometric embedding
Karsten Trevor Gimre, May 2016 (Advisor: M.T. Wang)
A GL(3) Kuznetsov trace formula and the distribution of Fourier coefficients of Maass forms
João Leitão Guerreiro, May 2016 (Advisor: D. Goldfeld)
Dualization and deformations of the BarNatanRussell skein module
Andrea Heyman, May 2016 (Advisor: M. Khovanov)
Relative trace formula for SO_{2} × SO_{3} and the Waldspurger formula
Rahul Marathe Krishna, May 2016 (Advisor: W. Zhang)
Dynamics, graph theory, and BarsottiTate groups: variations on a theme of Mochizuki
Subrahmanya "Raju" Krishnamoorthy, May 2016 (Advisor: J. de Jong)
Nearly overconvergent forms and padic Lfunctions for symplectic groups
Zheng Liu, May 2016 (Advisor: E. Urban)
Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces
Vivek Pal, May 2016 (Advisor: W. Zhang)
Derived categories of moduli spaces of semistable pairs over curves
Natasha Potashnik, May 2016 (Advisor: J. de Jong)
Quantum difference equations for quiver varieties
Andrey Smirnov, May 2016 (Advisor: A. Okounkov)
An alternative proof of genericity for unitary group of three variables
Chongli Wang, May 2016 (Advisor: W. Zhang)
Viscosity characterizations of explosions and arbitrage
Yinghui Wang, May 2016 (Advisor: I. Karatzas)
Periodic symplectic cohomologies and obstructions to exact Lagrangian immersions
Jingyu Zhao, May 2016 (Advisor: M. Abouzaid)
The parity of analytic ranks among quadratic twists of elliptic curves over number fields
Nava Balsam, May 2015 (Advisor: D. Goldfeld)
A proof of Looijenga's conjecture via integralaffine geometry
Philip Engel, May 2015 (Advisor: R. Friedman)
Singular solutions to the MongeAmpère equation
Connor Mooney, May 2015 (Advisor: O. Savin)
Quantum algebras and cyclic quiver varieties
Andrei Negut, May 2015 (Advisor: A. Okounkov)
Partial differential equations and variational approaches to constant scalar curvature metrics in Kähler geometry
Daniel Rubin, May 2015 (Advisor: D. Phong)
A Minkowskitype inequality for hypersurfaces in the ReissnerNordstromantide Sitter manifold
Zhuhai Wang, May 2015 (Advisor: M.T. Wang)
On a spectral bound for congruence subgroup families in SL(3,Z)
Timothy Heath, February 2015 (Advisor: D. Goldfeld)
Equivariant GromovWitten theory of GKM orbifolds
Zhengyu Zong, February 2015 (Advisor: C.C. M. Liu)
Threemanifold
mutations detected by Heegaard Floer homology
Corrin Clarkson, May 2014 (Advisor: R. Lipshitz)
Canonical
metrics in Sasakian geometry
Tristan Collins, May 2014 (Advisor: D. Phong)
Bordered
Heegaard Floer homology and graph manifolds
Jonathan Hanselman, May 2014 (Advisor: R. Lipshitz)
PropIwahoriHecke
algebras in the modp local Langlands program
Karol Kozioł, May 2014 (Advisor: R. Ollivier)
Constant
scalar curvature of toric fibrations
Thomas Nyberg, May 2014 (Advisor: D. Phong)
Rational
normal curves on complete intersections
Xuanyu Pan, May 2014 (Advisor: J. de Jong)
DemazureLusztig
operators and metaplectic Whittaker functions on covers of
the general linear group
Anna Puskas, May 2014 (Advisors: D. Goldfeld/G. Chinta)
On
a triplygraded generalization of Khovanov homology
Krzysztof Putyra, May 2014 (Advisor: M. Khovanov)
Selfduality
and singularities in the YangMills flow
Alex Waldron, May 2014 (Advisor: P. Daskalopoulos)
A
Spacetime Alexandrov theorem
YeKai Wang, May 2014 (Advisor: M.T. Wang)
Multiple
Dirichlet series for affine Weyl groups
Ian Whitehead, May 2014 (Advisor: D. Goldfeld)
Towards
a definition of Shimura curves in positive characteristics
Jie Xia, May 2014 (Advisor: J. de Jong)
The
arithmetic and geometry of genus four curves
Hang Xue, May 2014 (Advisor: S. Zhang)
A
geometric construction of a Calabi quasimorphism on
projective space
Andre Rubens Franca Carneiro, May 2013 (Advisor: D. McDuff)
padic
Heights of Heegner points on Shimura curves
Daniel Disegni, May 2013 (Advisor: S. Zhang)
Odd
symmetric functions and categorification
Alexander Ellis, May 2013 (Advisor: M. Khovanov)
Properties
of Hamiltonian torus actions on closed symplectic manifolds
Andrew Fanoe, May 2013 (Advisor: D. McDuff)
Singular
theta lifts and nearcentral special values of
RankinSelberg Lfunctions
Luis Emilio Garcia Martinez, May 2013 (Advisor: S. Zhang)
Localization
and Heegaard Floer homology
Kristen Hendricks, May 2013 (Advisor: P. Ozsvath/R. Lipshitz)
Del
Pezzo surfaces with irregularity and intersection numbers
on quotients in geometric invariant theory
Zachary Maddock, May 2013 (Advisor: J. de Jong)
Hopfological algebra
You Qi, May 2013 (Advisor: M. Khovanov)
Purity
of the stratification by Newton polygons and
Frobeniusperiodic vector bundles
Yanhong Yang, May 2013 (Advisor: J. de Jong)
Local
regularity of the complex MongeAmpere equation
Yu Wang, May 2013 (Advisor: D. Phong)
SatoTate
problem for GL(3)
Fan Zhou, May 2013 (Advisor: D. Goldfeld)
Limiting
properties of certain geometric flows in complex geometry
Adam Jacob, May 2012 (Advisor: D. Phong)
Arithmetic
inner product formula for unitary groups
Yifeng Liu, May 2012 (Advisor: S. Zhang)
Forbidden
substructures in graphs and trigraphs, and related coloring problems
Irena Penev, May 2012 (Advisor: M. Chudnovsky)
Bordered
Heegaard Floer homology, satellites, and decategorification
Tsvetelina Petkova, May 2012 (Advisor: P. Ozsváth)
On
FourierMukai type functors
Alice Rizzardo, May 2012 (Advisor: J. de Jong)
The
asymptotic cone of Teichmüller space: thickness and divergence
Harold Sultan, May 2012 (Advisor: W. Neumann)
Eigenvarieties
and twisted eigenvarieties
Zhengyu Xiang, May 2012 (Advisor: E. Urban)
Knot
Floer homology and categorification
Allison Gilmore, May 2011 (Advisor: P. Ozsváth)
Moduli
spaces of dynamical systems on P^{n}
Alon Levy, May 2011 (Advisor: S. Zhang)
On
using graphical calculi
Joelle Brichard, May 2011 (Advisor: M. Khovanov)
An algebraic circle method
Thibaut Pugin, May 2011 (Advisor: J. de Jong)
Fvirtual abelian varieties of GL_{2}type and Rallis
inner product formula
Chenyan Wu, May 2011 (Advisor: S. Zhang)
Bordered sutured Floer homology
Rumen Zarev, May 2011 (Advisor: P. Ozsváth)
Bounds for the spectral mean value of central values of Lfunctions
Qing Lu, May 2011 (Advisor: D. Goldfeld)
Lattice subdivisions and tropical oriented matroids featuring
Δ_{n1} × Δ_{d1}
Lindsay Piechnik, May 2011 (Advisor: D. Bayer)
Monopole Floer homology, link surgery, and odd Khovanov homology
Jonathan Bloom, May 2011 (Advisor: P. Ozsváth)
Soergel diagrammatics for dihedral groups
Ben Elias, May 2011 (Advisor: M. Khovanov)
Approximate converse theorem
Min Lee, April 2011 (Advisor: D. Goldfeld)
On Hamilton's Ricci flow and Bartnik's construction of metrics
of prescribed scalar curvature
ChenYun Lin, May 2010 (Advisor: M.T. Wang)
ActionMaslov homomorphism for monotone symplectic manifolds
Mark Branson, May 2010 (Advisor: D. McDuff)
The discrete Dirac operator and the discrete
generalized Weierstrass representation in
pseudoEuclidean spaces
Dmitry Zakharov, May 2010 (Advisor: I. Krichever)
On the twisted Floer homology of mapping tori of periodic diffeomorphisms
Evan Fink, May 2010 (Advisor: P. Ozsváth)
Rational curves on Fano threefolds of Picard number one
Mingmin Shen, May 2010 (Advisor: A.J. de Jong)
Applications of Heegaard Floer homology to knot and link concordance
Adam Simon Levine, May 2010 (Advisor: P. Ozsváth)
Managing volatility risk: innovation of financial
derivatives, stochastic models and their analytical
implementation
Chenxu Li, May 2010 (Advisor: I. Karatzas)
Functional Itô calculus and applications
DavidAntoine Fournie, May 2010 (Advisor: R. Cont;
Sponsor: I. Karatzas)
Computations of Heegaard Floer homology: torus
bundles, Lspaces, and correction terms
Thomas David Peters, May 2010 (Advisor: P. Ozsváth)
Computations and structures in sl(n)link homology
Daniel Krasner, December 2009 (Advisor: M. Khovanov)
Convex duality in singular control  optimal
consumption choice with intertemporal substitution
and optimal investment in incomplete markets
Helena Kauppila, September 2009 (Advisors: P. Bank and I. Karatzas)
On the mean curvature flow of
graphs of symplectomorphisms of KählerEinstein
manifolds; application to complex projective spaces
Ivana Medos, May 2009 (Advisor: M.T. Wang)
Geometry of rational curves on algebraic varieties
Matthew DeLand, May 2009 (Advisor: A.J. de Jong)
Bessel and volatilitystabilized processes
Irina Goia, May 2009 (Advisor: I. Karatzas)
Finite atomic lattices and
their relationship to resolutions of monomial ideals
Sonja Mapes, May 2009 (Advisor: D. Bayer)
Remarks on some nonlinear heat
flows in Kähler geometry
Donovan McFeron, May 2009 (Advisor: D. Phong)
On Λadic SaitoKurokawa
lifting and its application
Zhi Li, May 2009 (Advisor: E. Urban)
Probability on graphs and groups:
theory and applications
Natalia Mosina, May 2009 (Advisor: I. Karatzas)
Splice diagrams. Singularity
links and universal abelian covers
Helge Møller Pedersen, May 2009 (Advisor: W. Neumann)
The HilbertChow morphism and the
incidence divisor
Joseph Ari Ross, May 2009 (Advisor: A.J. de Jong)
Modularity of generating functions
of special cycles on Shimura varieties
Wei Zhang, May 2009 (Advisor: S. Zhang)
