• Jordan Paschke (C. Sogge)
  Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections

• Daniel Ginsberg (H. Lindblad)
  The free boundary problem for Euler’s equations
• Apurva Nakade (N. Kitchloo)
  Manifold Calculus and Convex Integration
• Cheng Zhang (C. Sogge)
  Oscillatory Integrals and Eigenfunction Restriction Estimates
• Zehua Zhao (B. Dodson)
  Long time dynamics for nonlinear Schrödinger equations at critical regularity

• Christopher Kauffman (H. Lindblad)
  Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
• Harry Lang (M. Maggioni)
  Streaming Coresets for High-Dimensional Geometry
• Tianyi Ren (C. Sogge)
  Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
• Shengwen Wang (J. Bernstein)
  Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
• Emmett Wyman (C. Sogge)
  Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature

• Ben Diamond (C. Consani)
  Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
• Chenyun Luo (H. Lindblad)
  On the motion of the free surface of a compressible liquid
• Yakun Xi (C. Sogge)
  Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.

• Jon Beardsley (J. Morava)
  Coalgebraic Structure and Intermediate Hopf-Galois Extensions of Thom Spectra in Quasicategories
• Stephen Cattell (N. Kitchloo)
  The Completion of Dominant K-Theory
• Po-Yao Chang (J. Spruck)
  Self-shrinkers to the mean curvature flow asymptotic to isoparametric cones
• Vitaly Lorman (N. Kitchloo)
  Real Johnson-Wilson Theories and Computations
• Kalina Mincheva (C. Consani)
  Semiring Congruences and Tropical Geometry
• Chenyang Su (J. Spruck)
  Starshaped locally convex hypersurfaces with curvature and boundary

• Jai Ung Jun (C. Consani)
  Algebraic geometry over semi-structure and hyper-structure of characteristic one
• John Ross (W. Minicozzi)
  Rigidity Results of Lambda-Hypersurfaces
• Jeffrey Tolliver (C. Consani)
  Hyperstructures and Idempotent Semistructures
• Xing Wang (C. Sogge)
  Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
• Min Xue (C. Sogge)
  Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
• Junyan Zhu (B. Shiffman)
  Hole Probabilities of SU(m+1) Gaussian Random Polynomials

• Arash Karami (B. Shiffman)
  Zeros of random Reinhardt polynomials
• Matthew McGonagle (W. Minicozzi)
  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

• Xuehua Chen (C. Sogge)
  An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
• Leili Shahriyari (W. Minicozzi)
  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

• 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

• 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

• 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

• 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

• 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

Scott Zrebiec (B. Shiffman)
Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions

• 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)

• 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

• 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

• 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

Jung-Jo Lee (J. Shalika)
Bounding Ranks of Elliptic Curves

• 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 (J. Boardman, W. Wilson)
  The Hit Problem for w (4) over F₂ by Differential Operator Algebra

• 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

• 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)