2020
Jordan Paschke (Sogge)
Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections
2019
Daniel Ginsberg (Lindblad)
The free boundary problem for Euler’s equations
Apruva Nakade (Kitchloo)
Manifold Calculus and Convex Integration
Cheng Zhang (Sogge)
Oscillatory Integrals and Eigenfunction Restriction Estimates
Zehua Zhao (Dodson)
Long time dynamics for nonlinear Schrödinger equations at critical regularity
2018
Christopher Kauffman (Lindblad)
Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
Harry Lang (Maggioni)
Streaming Coresets for High-Dimensional Geometry
Tianyi Ren (Sogge)
Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
Shengwen Wang (Bernstein)
Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
Emmett Wyman (Sogge)
Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature
2017
Ben Diamond (Consani)
Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
Chenyun Luo (Lindblad)
On the motion of the free surface of a compressible liquid
Yakun Xi (Sogge)
Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.
2016
Jon Beardsley (Morava)
Hopf-Galois Extensions and Descent Data in Quasicategories
Stephen Cattell (Kitchloo)
The Completion of Dominant K-Theory
Po-Yao Chang (Spruck)
self-shrinkers to the mean curvature flow asymptotic to isoparametric cones
Vitaly Lorman (Kitchloo)
Real Johnson-Wilson Theories and Computations
Kalina Mincheva (Consani)
Semiring Congruences and Tropical Geometry
Chenyang Su (Spruck)
Starshaped locally convex hypersurfaces with curvature and boundary
2015
Jai Ung Jun (Consani)
Algebraic geometry over semi-structure and hyper-structure of characteristic one<
John Ross (Minocozz)
Rigidity Results of Lambda-Hypersurfaces
Jeffrey Tolliver (Consani)
Hyperstructures and Idempotent Semistructures
Xing Wang (Sogge)
Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
Min Xue (Sogge)
Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
Junyan Zhu (Shiffman)
Hole Probabilities of SU(m+1) Gaussian Random Polynomials
2014
Arash Karami (B. Shiffman)
Zeros of random Reinhardt polynomials
Matthew McGonagle (W. Minicozz)
The Gaussian Isoperimetric Problem and the Self-Shrinkers of Mean Curvature Flow
Duncan Sinclair (C. Mese)
Heat Kernels on Riemannian Polyhedra and Heat Flows into NPC Manifolds
Hongtan Sun (C. Sogge)
Strichartz Estimates for Wave and Schrödinger Equations on Hyperbolic Trapped Domains
Tim Tran (B. Shiffman)
Continuity of the Asymptotics of Expected Zeros of Fewnomials.
2013
Xuehua Chen (C. Sogge)
An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
Leili Shahriyari (W. Minicozz)
Translating graphs by mean curvature flow
Peng Shao (C. Sogge)
Sobolev resolvent estimates for the Laplace-Beltrami operator on compact manifolds
Ling Xiao (J. Spruck)
Flow Problems in Hyperbolic Space
2012
Sinan Ariturk (C. Sogge)
Concentration and vanishing of eigenfunctions on a manifold with boundary
Caleb Hussey (W. Minicozzi)
Classification and analysis of low index mean curvature flow self-shrinkers
Jingzhou Sun (B. Shiffman)
Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
2011
Joseph Cutrone (V. Shokurov)
Symmetric Sarkisov Links of Fano Threefolds
Michael Limarzi (T. Ono)
On a Cohomological Study of Heisenberg Groups over The Ring of Algebraic Integers
Longzhi Lin (W. Minicozzi)
On the existence of closed geodesics and uniqueness of weakly harmonic maps
Nicholas Marshburn (V. Shokurov)
Smooth Weak Fano Threefolds
Xin Yu (C. Sogge)
Strichartz Estimates and Strauss Conjecture on Various Settings
2010
John Baber (B. Shiffman)
Scaled correlations of critical points of random sections on Riemann surfaces
Romie Banerjee (J. Boardman, S. Wilson)
Real Johnson-Wilson theories and non-immersions of projective spaces
Jonathan Dahl (C. Mese)
Existence and structure of solutions of Steiner problems in optimal transport
Stephen Kleene (W. Minicozzi)
Singular behavior of minimal surfaces and mean curvature flow
2009
Susama Agarwala (J. Morava)
The geometry of renormalization
Abhishek Banerjee (C. Consani)
Nearby cycles, Archimedean complex and periodicity in cyclic homology
Christine Breiner (W. Minicozzi)
Embedded minimal surfaces of finite topology and one end
Yifei Chen (V. Shokurov)
Strong rational connectedness of toric varieties
Jing-Cheng Jiang (C. Sogge)
Bilinear Strichartz estimates in two dimensional compact manifolds and cubic nonlinear Schrödinger equations
Hamid Hezari (S. Zelditch)
Eigenvalues and eigenfunctions of Schrödinger operators:
Inverse spectral theory; and the zeros of eigenfunctions
Siddique Khan (W. Minicozzi)
Embedded minimal disks with curvature blow-up on a line segment
Joel Kramer (W. Minicozzi)
Embedded minimal spheres in 3-manifolds
Reza Seyyedali (R. Wentworth)
Balanced metrics in Kahler geometry
Thomas Wright (T. Ono)
On convergence of singular series for a pair of quadratic Forms
Patrick Zulkowski (C. Mese)
The Plateau problem in Alexandrov spaces satisfying the Perel’man conjecture
2008
Benjamin Baugher (S. Zelditch)
Statistics of critical points in Kahler geometry and string theory
Sung Rak Choi (V. Shokurov)
The geography of log models and its applications
Brian Macdonald (B. Shiffman)
Statistics of non-real zeros and critical points of systems of real random polynomials in several variables
Shuai Wang (T. Ono)
On a certain triple system, elliptic curves and Gauss theory of quadratic forms
Qi Zhong (S. Zelditch)
Energies of zeros of random sections on Riemann surfaces
2007
Scott Zrebiec (B. Shiffman)
Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions
2006
Ann Stewart (C. Sogge)
Existence theorems for some nonlinear hyperbolic equations on a waveguide
Hsin-Hao Su (J Boardman)
The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)
2005
Giuseppe Tinaglia (W Minicozzi)
Multi-valued Graphs In Embedded Constant Mean Curvature Disks
Mike Krebs (R Wentworth)
Toledo Invariants on 2-Orbifolds
Eun-Kyoung Lee (T Ono)
On Certain Cohomological Invariants of Algebraic Number Fields
2004
Brian Dean (W Minicozzi)
Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds
Seok-Min Lee (T Ono)
On Certain Cohomological Invariants of Quadratic Number Fields
Sirong Zhang (W Minicozzi)
Curvature Estimates for Constant Mean Curvature Surfaces in Three Manifolds
Xiangjin Xu (C. Sogge)
Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem
2003
Byungchul Cha (C Popescu)
Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves
Jason Metcalfe (C. Sogge)
Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle
2002
Jung-Jo Lee (J Shalika)
Bounding Ranks of Elliptic Curves
2001
Jihun Park (V Shokurov)
Fano Fibrations Over a Discrete Valuation Ring
Ramin Takloo-Bighash (J Shalika)
The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group
Takeshi Torii (J Morava)
One Dimensional Formal Group Laws of Height N and N-1
Alexandru Tupan (V Kolyvagin)
Congruences for Modular Forms
Hemin Yang (JM Boardman, WS Wilson)
The Hit Problem for w (4) over F2 by Differential Operator Algebra
2000
Ivan Cheltsov (V Shokurov)
Log Models of Birationally Rigid Varieties
Joshua Neuheisel (S Zelditch)
The Asymptotic Distribution of Nodal Sets on Spheres
Diego Socolinsky (J Spruck)
A Variational Approach to Image Fusion
1999
Terutake Abe (V Shokurov)
Classification of Exceptional Surface Complements
Florin Ambro (V Shokurov)
The Adjunction Conjecture Applications
Satyan Devadoss (J Morava)
Tessellations of Moduli Spaces and the Mosaic Operad
Heuisu Ryu (V Kolyvagin)
Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves
Guoling Tong (J Shalika)
The Shimura Integral and the Standard L-function of U(3)