PDE and Differential Geometry Seminar – Past Talks
The table below is of talks prior to Spring 2019.
Analysis of the Lagrangian averaged Euler and other and related equations
Congming Li (University of Colorado)
Quadruple junction solutions in phase separation
Changfeng Gui (University of Connecticut)
Blood Vessel Segmentation Using Local Binary Fitting Active Contours/Surfaces
Chunming Li (Vanderbilt University Institute of Imaging Science)
Hamiltonian identity for PDE and it’s applications
Changfeng Gui (University of Connecticut)
Computer-assisted Proofs for Nonlinear Elliptic Boundary Value
Michael Plum (University of Karlsruhe)
Gidas-Ni-Nirenberg results for finite difference equation: estimates
Joe Mckenna (University of Connecticut)
A priori bounds for semilinear equations on non-smooth domains
Joe Mckenna (University of Connecticut)
Bubbling solutions for Liouville type equation in dimension 2
Feng Zhou (East China Normal University)
TITLE: Nonlinear Elastic Deformations of a Sphere
Sarah Frey (University of Connecticut)
Kullback-Leibler(KL) divergence and curve matching methods
Pengwen Chen (University of Connecticut)
Stability of Rotating Star Solutions of the Compressible Euler-Poisson Equations
Tao Luo (Worcester Polytechnic Institute & Georgetown University)
Existence and Uniqueness of Weak Solutions for A General Parabolic Equation
Shulin Zhou (Peking University)
Multi-bump solutions of $-Delta u=K(x)u^{frac{n+2}{n-2}}$ in ${mathbb R}^n$
Haoyuan Xu (University of Connecticut)
A variational model from nonlinear elasticity
Xiaodong Yan (University of Connecticut)
Image Processing Problems in Pharmaceutical Study
David L Raunig (Pfizer Global Research & Development)
Analysis on Some Parabolic Systems (strongly coupled or higher order)
Li Chen (Tsinghua University)
DISLOCATION DYNAMICS SIMULATIONS IN THIN FILMS USING THE LEVEL SET METHOD
Xiang Yang (Hong Kong University of Science and Technology)
Slow motion of gradient flows
Maria Westdickenberg (Georgia Institute of Technology)
On a generalized Faddeev model
Fengbo Hang (Princeton University)
Variational vs. PDE methods in image processing: from Mumford-Shah to Perona-Malik
Bernd Kawohl (the University of Cologne, Germany)
Existence and Uniqueness of positive solutions of semi-linear elliptic equations
Qiuyi Dai (Hunan Normal University)
The Concept of Dynamic Materials and Applications to Material Design in Dynamics
Konstantin A. Lurie (Department of Mathematical Sciences, Worcester Polytechnic Institute)
HELLINGER DISTANCE BASED MASS TRANSPORT MODEL
Pengwen Chen (University of Connecticut)
On a Quasilinear System for Anisotropic Superconductors and Related Problems
Xingbin Pan (East China Normal University)
Stabilized Finite Element Solutions to the Advection-Dominated Optimal Control Problems
Dmitriy Leykekhman (University of Connecticut)
Non-rigid matching models based on Hellinger distance
Pengwen Chen (University of Connecticut)
Transonic problems in 2-dimensional conservation laws
EunHeui Kim (California State University at Long Beach)
Recent results for Special Lagrangian equations
Yu Yuan (Institute for Advanced Study)
Gradient Estimates for the Perfect and Insulated Conductivity Problems
Biao Yin (University of Connecticut)
A novel kernel correlation model with the correspondence estimation
Pengwen Chen (University of Connecticut)
Lane-Emden problem : survey about symmetries
Christopher Grumiau ()
Lp-estimates for higher-order elliptic and parabolic systems with BMO coefficients
Hongjie Dong (Brown)
Scattering for the fourth-order wave equation
Benoit Pausader (Brown)
Stability and instability in th Stefan problem with surface tension
Mahir Hadzic (Brown)
The regularity of the free boundary for one-phase problems
Daniela Silva ()
Nonrigid Image Registration Problem and Image
Xiang Huang (University of Connecticut)
Nonlinear Schrodinger Problems: Mountain Pass algorithms
Christopher Grumiau ()
Global Dynamics and Traveling Wave of Reaction Diffusion Systems Arising from Auto-Catalysis
Yuanwei Qi (University of Central Florida)
The scalar curvature flow on $S^n$ – Perturbation result revisited
Xingwang Xu (National University of Singapore)
Convexity of level sets of solutions to nonlinear PDEs
Pengfei Guan (McGill University)
On Hamilton’s Ricci Flow and Bartnik’s Construction of Metrics of Prescribed Scalar Curvature
Chen-Yun Lin (University of Connecticut)
Ground states for the nonlinear Schroedinger-equation with interface
Wolfgang Reichel (Karlsruhe Institute of Technology)
Regularity results for the mean curvature flow
Nam Le (Columbia University)
On the best constant in the Moser-Aubin-Onofri inequality on S^2
Nassif Ghoussoub (UBC)
Weak solution to Yang-Mills Flow in Dimension n geq 4
Weidong Yin (University of Connecticut)
Axial Symmetry of Some Entire Solutions of Nonlinear Elliptic Equations
Changfeng Gui (University of Connecticut)
Epitaxial thin film growth model and its numerical simulation
Cheng Wang (University of Massachusetts Dartmouth)
Comparison of Numerical Solutions of Time-Fractional ReactionñDiffusion Equations
Muhammet Kurulay (University of Connecticut)
Interaction of Pulses in Nonlinear Wave Equations
Martina Chirilus-Bruckner (Boston University)
Maslov Index for Homoclinic Orbits of Hamiltonian Systems
Chao-Nien Chen (National Changhua University of Education)
Symmetry of Entire Solutions To the Allen-Cahn Equation
Fang Zhang (University of Connecticut)
Optimal Regularity and Nondegeneracy for minimizers of an energy arising from the fractional Laplacian
Ray Yang (Courant Institute of Mathematical Sciences)
Nonnegative solutions of nonlinear elliptic equations and their nodal structure
Peter Polacik (University of Minnesota)
Some uniqueness problems for a class of two-dimensional nonlocal problems
Marcello Lucia (City University of New York)
Global Stability for the n-Species Lotka-Volterra Tree Systems of Reaction-Diffusion Equations
Xinhua Ji (Chinese Academy of Sciences)
Surfaces in R3 with constant mean curvature
Oscar Perdomo (Central Connecticut State University)
Hölder continuous solutions to complex Monge-Ampère equations
Slawomir Dinew (Rutgers University)
Recent developments on the hydrodynamic flow of nematic liquid crystals
Changyou Wang (University of Kentucky)
A Nonlocal-PDE Model From Population Genetics
Linlin Su (Worcester Polytechnic Institute)
TBA
Joseph McKenna (University of Connecticut)
Embedded constant mean curvature surfaces in Euclidean three space
Christine Breiner (Columbia University)
On the Bubbling set of the Yang Mills flow
Adam Jacob (Harvard University)
Standing Pulse Solutions to FitzHugh-Nagumo equations
Yung-Sze Choi (University of Connecticut)
Efficient Numerical Methods for Water Waves in Unbounded Domains
Geri Jennings (University of Massachusetts Amherst)
The Strauss conjecture on black holes
Mihai Tohaneanu (Johns Hopkins University)
Mathematics Meets Astrophysics: An Overview of General Relativity and Dark Matter in Galaxies
Alan Parry (Duke University)
Rigidity results for Kahler-Einstein and nearly Kahler manifolds
Thomas Murphy (Universite Libre de Bruxelles)
On generalizing the Yamabe Problem to smooth metric measure spaces
Jeffrey Case (Princeton University)
Compact Kahler manifolds with nonpositive bisectional curvature.
Gang Liu (University of Minnesota)
Volumes of compact anti-de Sitter 3-manifolds.
David Constantine (Wesleyan University)
The boundary of the Kahler cone
Trisian Collins (Columbia University)
Energy-based fracture evolution
Christopher Larsen (WPI)
A decomposition technique for integrable functions with applications to the divergence problem
Fernando Lopez (WPI)
Material Geometry in Space and Time as a Means to Control the Wave Propagation
Konstantin Lurie (WPI)
Express Your Cells
Maryann Hohn (UConn)
Variational approximation schemes for polyconvex elastodynamics.
Alexey Miroshnikov (University of Massachusetts Amherst)
The geometry of Ricci solitons and manifolds with smooth densities
Ovidiu Munteanu (University of Connecticut)
On the structure of complete hypersurfaces in a Riemannian manifold of nonnegative curvature and $L^2$ harmonic forms
Gabjin Yun (Myong Ji University)
The evolution problem for Einstein’s equations coupled to viscous fluids
Marcelo Disconzi (Vanderbilt University)
On the stability of the surface area preserving mean curvature flow
Longzhi Lin (Rutgers University)
On the search for a hypo-elliptic Laplace-Beltrami operator
Thomas Laetsch (University of Connecticut)
Quasi-local mass in general relativity
Po-Ning Chen (Columbia)
Null singularities in general relativity
Jonathan Luk ()
A Spacetime Alexandrov Theorem
Ye-Kai Wang (Columbia)
Fundamental Groups of Spaces with Bakry-Emery Ricci Tensor Bounded from Below
Maree Jaramillo (University of Connecticut)
Stability of Ricci solitons
Huai-Dong Cao (Lehigh University)
Continuous maximal regularity on manifolds with singularities and applications to geometric flows
Yuanzhen Shao (Vanderbilt University)
Ginzburg-Landau and Gross-Pitaevskii Vortices on Surfaces
Ko-Shin Chen (University of Connecticut)
An Introduction to the Geometric Theory of Backlund Transformations
Ian Anderson (Utah State University)
Maple DifferentialGeometry Package Tutorial
Ian Anderson (Utah State University)
Bernstein type theorem in Minkowski space
Ling Xiao (Rutgers University)
Why physicists are interested in differential geometry (RESCHEDULED to 2/23)
Philip Mannheim (University of Connecticut)
Recent gluing constructions in Differential Geometry (CANCELED)
Nicolaos Kapouleas (Brown University)
Regularity scales and convergence of the Calabi flow (RESCHEDULED to 3/30)
Haozhao Li (Massachussetts Institute of Technology)
Sobolev trace inequalities on manifolds with boundary
Antonio Ache (Princeton University)
Why physicists are interested in differential geometry
Philip Mannheim (University of Connecticut)
Regularity scales and convergence of the Calabi flow
Haozhao Li (Massachussetts Institute of Technology)
On shape of charged drops: an isoperimetric problem with a competing non-local term.
Cyrill Muratov (New Jersey Institute of Technology)
K‰hler-Einstein metrics with negative curvature on quasi-projective manifold and applications
Henri Guenancia ( we will describe an application of these results to the semistability of the tangent sheaf of some singular varieties. This is based on joint work with Damin Wu.”)
The Einstein-Klein-Gordon Equations, Wave Dark Matter, and the Tully-Fisher Relation
Andrew Goetz (Duke University)
A Shi-type estimate for Ricci curvature along the Ricci flow
Chih-Wei Chen (National Taiwan University)
On the Morse index in the min-max theory of minimal surfaces
Xin Zhou (Massachusetts Institute of Technology)
Curvature dimension inequalities on Riemannian manifolds and sub-Riemannian manifolds
Bumsik Kim (University of Connecticut)
A Tikhonov regularization for the inverse nodal
C.K. Law (National Sun Yat-sen University)
Ricci flow and the moduli spaces of positive isotropic curvature metrics on four manifolds
BingLong Chen (Sun Yat-sen University)
Minimizing Closed Geodesics
Ian Adelstein (Trinity College)
Singularities of Minimal Graphs
Spencer Hughes (Massachusetts Institute of Technology)
Sharp log-Sobolev inequalities on closed manifolds
Marcos Montenegro (Federal University of Minas Gerais)
TBA
Georgios Daskalopoulos (Brown University)
Shedding Light on Dark Matters
Alan Parry (University of Connecticut)
On the instability of the Riemannian Penrose inequality in higher dimensions
Armando Cabrera (University of Miami)
Eigenvalue of the Laplacian and the Steklov eigenvalue
Pak Tung Ho (Sogang University, Seoul)
Weakly asymptotically hyperbolic solutions to the Einstein constraint equations
Paul Allen ()
Geometry past and present – a stroll through curved spaces
Martina Z‰hle (Friedrich Schiller University Jena)
Singularity Formation of the Yang-Mills Flow
Casey Kelleher (University of California – Irvine)
Geometric methods to study parabolic PDE’s
Mihai Bailesteanu (Central Connecticut State University)
Infinite dimensional geometries on the space of Kahler metrics and applications
Tamas Darvas (University of Maryland)
Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
Yang Xiang (Hong Kong University of Science and Technology)
About slips and uniqueness in Von Mises elastoplastic evolutions
Gilles Francfort (Universite-Paris 13, currently visiting professor at Courant)
Existence of Special Lagrangian Discs in ellitpic K3 surfaces via Tropical Geometry
Yu-Shen Lin (Columbia University)
On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators
Seick Kim (Yonsei University, currently on sabbatical leave at Brown University)
New doubling constructions for minimal surfaces
Peter McGrath (Brown University)
Bartnik’s quasi-local mass in general relativity
Jeff Jauregui ( and minimizes the total (ADM) mass among such spaces. He conjectured that this infimum is attained. In joint work with Michael Anderson)
Machine Learning: Empowering Complex and Big Data Analytics in Healthcare
Jinbo Bi (UConn Computer Science and Engineering)
Harmonic maps into metric spaces with upper curvature bounds
Christine Breiner (Fordham University)
Static manifolds of positive scalar curvature
Lucas Ambrozio (University of Chicago)
Regularity theory for Type I Ricci flows
Pannagiotis Gianniotis (University of Waterloo)
A construction of infinitely many solutions to the Strominger system
Teng Fei (Columbia University)
Metrics of Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds
Angelynn Alvarez (University of Connecticut)
The fractional Hardy-Schrˆdinger operator with interior singularity
Mingfeng Zhao (Tianjin University)
Dislocation climb models from atomistic scheme to dislocation dynamics
Xiaohua Niu (Hongkong University of Science and Technology)
Laplacian comparison theorems in sub-Riemannian geometry
Fabrice Baudoin (University of Connecticut)
Weak* Solutions of Conservation Laws: The vacuum in Lagrangian gas dynamics
Alexey Miroshnikov (UCLA)
Sub-Riemannian model spaces
Erlend Grong (Universite Paris Sud, Orsay, France)
Bi-Lipschitz embedding of Grushin-type spaces into Euclidean spaces
Vyron Vellis (Uconn)
A Minkowski problem for nonlinear capacity
Murat Akman (UConn)
Linear stability of Schwarzschild spacetime
Pei-Ken Hung (Columbia University)
A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons
Brett Kotschwar (Arizona State University)
Symplectic Laplacians, boundary conditions and cohomology
Lihan Wang ()
Optimal Regularity of Degenerate PDE
Ling Xiao (Uconn)
CONSTRUCTING A POSITIVE DEFINITE ENERGY FUNCTIONAL FOR AXISYMMETRIC PERTURBATIONS OF ROTATING BLACK HOLES
Vincent Moncrief (Yale)
Fractional Operators with Inhomogeneous Boundary Conditions: Analysis Control and Discretization
Harbir Antil (George Mason University)
Positive-Definite Energy Functionals for Axially Symmetric Perturbations of Kerr and Kerr de Sitter Black holes
Nishanth Gudapati (Yale)
Converging mean curvature flows in warped product manifolds
Zheng Huang (The City University of New York)
Min-Max theory for constant mean curvature (CMC) hypersurfaces
Xin Zhou (UC Santa Barbara)
Ancient Pancakes
Theodora Bourni (University of Tennessee Knoxville )
The oblique derivative problem in Lipschitz domains
Hongjie Dong (Brown University)
Minimal surfaces and the Allen-Cahn equation on 3-manifolds
Christos Mantoulidis (MIT)
Recent Advances in Delay-Differential Equations
John Mallet-Paret (Brown University)
TBA
Mohan Ramachandran (University at Bafflo)
Bochner Hartogs dichotomy on complete Kahler manifolds
Mohan Ramachandran (University at Buffalo)
Global well-posedness and scattering for the quintic NLS in two dimensions
Xueying Yu (MIT)
Reduced Basis Method: Recent improvements and a L1-based variant
Yanlai Chen (UMass)
$A_p$ weights and the Landau equation
Nestor Guillen (UMass)
Global smooth flows for random SQG
Andrea Nahmod (UMass)
A Sharp Divergence Theorem with Non-Tangential Pointwise Traces
Irina Mitrea (Temple University)
Measures of maximal entropy for suspension flows over the full shift
Tamara Kucherenko (City College of New York)