ACTIVITIES AT THE GRADUATE CENTER

Here is the list of seminars organized at the Graduate Center weekly seminars bulletin (updated every Tuesday).
Here, you will find the conferences in nonlinear analysis we are organizing at the Graduate Center.

Nonlinear Group Study

This meeting aims to investigate nonlinear problems arising in Differential geometry and mathematical physics. It gives graduates students the opportunity to be familiar with a wide range of open problems, and learn tools from the calculus of variations to tackle some of these questions. Our meeting takes place

One goal of this reading group and seminars is to introduce some papers that are related to a series of symposium in applied mathematics that are sponsored by the Initiative for the Theoretical Sciences.

SPRING 2018:
During this smester we will have a three days conference



NONLINEAR DAYS in New York April 25th-April 28th Schedule and Abstracts Poster


We will also have several seminars:


• Wednesday April 25th, 4:30-5:30pm
  This is a joint seminar with the topology seminar
  Room: 4214.03
  Thomas Bartsch, Giessen University
  "A Mini-course on Detecting critical points with Borel cohomology"
  In this lecture I will show how Borel cohomology can be used to find critical points of functionals where classical topological tools like Lusternik-Schnirelmann category or the Krasnoselski genus are not sufficient
  
  
• Wednesday May 2, 2018, 2:30-3:30pm
  Luca Martinazzi, University of Padova
  From holomorphic immersions of the disk to the non-local Liouville equation
  We will discuss a connection between the non-local Liouville equation and holomorphic immersions of the unit disk in the complex plane. As we shall see, the lack of compactness of this equation can be understood in geometric terms in a very transparent way.
  
  

  Fall 2016 -- Spring 2017: On Leave.
  

  SCHEDULE Spring 2016:
  

  • February 9, 2016
    Zhong Wei Tang, Beijing Normal University
    Multiple solutions of Nonlinear Schrodinger equations involving critical exponent and potential wells
    In this talk, we will present some recent results about the existence and asymptotic behavior of the multiple solutions for the nonlinear Schrodinger equations such that the nonlinearity is critical growth and involving potential wells.
    
    
  • February 23, 2016
    Nathan Glatt-Holtz, Virginia Tech
    The Stochastic Boussinesq Equations and Applications in Turbulent Convection
    Buoyancy driven convection plays a ubiquitous role in physical applications: from cloud formation to large scale oceanic and atmospheric circulation pro- cesses to the internal dynamics of stars. Typically such fluid systems are driven by heat fluxes acting both through the boundaries (i.e. heating from below) and from the bulk (i.e. internal ’volumic’ heating) both of which can have an essentially stochastic nature in practice. In this talk we will review some recent results on invariant measures for the stochastic Boussinesq equations. These measures may be regarded as canonical objects containing important statistics associated with convection: mean heat transfer, small scale properties of the flow and pattern formation. We discuss ergodicity, uniqueness and singular parameter limits in this class of measures. Connections to the hypo-ellipticity theory of parabolic equations and to Wasser- stein metrics will be highlighted.
    
    
  • March 1, 2016
    Matias G. Delgadino, University of Maryland
    The Relationship Between the Obstacle Problem and Minimizers of the Interaction Energy
    The repulsion strength at the origin for repulsive/attractive potentials determines the minimal regularity of local minimizers of the interaction energy. If the repulsion is like Newtonian or more singular than Newtonian (but still locally integrable), then the local minimizers must be locally bounded densities (and even continuous for more singular than Newtonian repulsion). This can be achieved by first showing that the potential function associated to a local minimizer solves an obstacle problem and then by using classical regularity results for such problems.
    
    
  • March 8, 2016
    Michele Coti-Zelati, University of Maryland
    Enhanced dissipation and hypoellipticity in shear flows
    We analyze the decay and instant regularization properties of the evolution semigroups generated by two-dimensional drift-diffusion equations in which the scalar is advected by a shear flow and dissipated by full or partial diffusion. We consider both the case of space-periodic and the case of a bounded channel with no-flux boundary conditions. In the infinite Péclet number limit, our work quantifies the enhanced dissipation effect due to the shear. We also obtain hypoelliptic regularization, showing that solutions are instantly Gevrey regular even with only partial diffusion.
    
    
  • March 29, 2016
    Sagun Chanillo, Rutgers University
    The Fundamental Theorem of Calculus, Generalizations and Applications
    
    
  • April 12, 2016
    Dietmar Oelz, Courant Institute (NYU)
    TBA

  SCHEDULE Fall 2015:
  

  • September 15, 2015
    Tarek M. Elgindi, Princeton University
    Recent results on the transport equation
    We discuss several recent results on the well/illposedness of transport equations with singular integral forcing in spaces at the same scaling as $L^\infty$. Such equations arise naturally in the study of fluid equations and other applications. As a byproduct of one of the theorems we will discuss, we prove the strong illposedness of the incompressible Euler equations in the class of C^1 velocity fields. Some of what will be discussed is joint work with N. Masmoudi and F. Bernicot-S.
    
    
  • September 29, 2015
    Tristan Buckmaster, Courant Institute, NYU
    Onsager's Conjecture
    In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solutions to the Euler equation belonging to Hölder spaces with Hölder exponent greater than 1/3 conserve energy; conversely, he conjectured the existence of solutions belonging to any Hölder space with exponent less than 1/3 which dissipate energy.
    The first part of this conjecture has since been confirmed (cf. Eyink 1994, Constantin, E and Titi 1994). During this talk we will discuss recent work by Camillo De Lellis, László Székelyhidi Jr., Philip Isett and myself related to resolving the second component of Onsager's conjecture. In particular, we will discuss the construction of weak non-conservative solutions to the Euler equations whose Hölder $1/3-\epsilon$ norm is Lebesgue integrable in time.
    
    
  • October 20, 2015
    Jerome Goddard, Auburn University Montgomery
    Modeling the effects of habitat fragmentation via reaction diffusion equations
    Two important aspects of habitat fragmentation are the size of fragmented patches of preferred habitat and the inferior habitat surrounding the patches, called the matrix. Ecological field studies have indicated that an organism’s survival in a patch is often linked to both the size of the patch and the quality of its surrounding matrix. In this talk, we will focus on modeling the effects of habitat fragmentation via the reaction diffusion framework. First, we will introduce the reaction diffusion framework and a specific reaction diffusion model with logistic growth and Robin boundary condition (which will model the negative effects of the patch matrix). Second, we will explore the dynamics of the model via some methods from nonlinear analysis and ultimately obtain a causal relationship between the size of the patch and the quality of the matrix versus the maximum population density sustainable by that patch.
    
    
  • November 10, 2015
    Michael Puls, John Jay College CUNY
    The p-harmonic and p-Royden boundaries for metric measure spaces
    In this talk we construct the p-Royden boundary for a metric measure space X. We will also define a specialized subset of this boundary, known as the p-harmonic boundary. A Dirichlet type problem at infinity for X will be discussed. A characterization of the p-parabolicity of X in terms of the cardinality of the p-harmonic boundary will be given. This is joint work with Marcello Lucia and generalizes results for Riemannian manifolds and graphs of uniformly bounded degree.
    
    
  • November 24, 2015
    Mythily Ramaswamy, TATA Institute, Bangalore
    Control of compressible Navier-Stokes system
    Compressible fluids are modelled through Navier Stokes equations for density and velocity. In this talk I consider the model in a bounded interval and discuss null controllability (steer the system to zero state in finite time) and stabilization (steer the system to a steady state as time goes to infinity). The control acts only on the velocity.
    
    
  • December 8, 2015
    Fabio Pusateri, Princeton University
    The water waves problem
    I will first introduce the water waves equations which model the motion of waves such as those on the surface of the ocean. I will then discuss in some generality the question of global wellposedness for the Cauchy problem associated to this system. Finally, I will present some recent results (joint with Deng, Ionescu and Pausader) on the global regularity for the gravity-capillary problem in three dimensions.
    
    

  SCHEDULE Spring 2015:
  

  • February 10, 2015
    Luciano Medina, NYU Polytechnic
    Vortex Equations Governing the Fractional Quantum Hall Effect
    Governed by topological excitations in Chern-Simons gauge theories, an existence theory is established for a coupled non-linear elliptic system describing the fractional quantum Hall effect in 2-dimensional double-layered electron systems. Via variational methods, we prove the existence and uniqueness of multiple vortices over a doubly periodic domain and the full plane. In the doubly periodic situation, explicit sufficient and necessary conditions are obtained that relate the size of the domain and the vortex numbers. For the full plane case, vortex solutions are restricted to satisfy topological boundary conditions and exponential decay estimates are proved. Interestingly, quantization phenomena of the magnetic flux are found in both cases.
    
    
  • February 24, 2015
    Ovidiu Savin, Columbia University
    A singular minimizer in the Calculus of Variations in low dimensions
    I will discuss about a counterexample to C^1 regularity in the Calculus of Variations. We consider minimizers of smooth convex functionals depending only on the derivative of a map from R^n to R^m. Classical results of Morrey and De Giorgi-Nash state that such minimizing maps are smooth when $n=2$ or when $m=1$. On the other hand some examples due to Necas and Sverak-Yan show that the regularity of minimizers is not expected in general. In my talk I will discuss an example of a singular minimizer in the lowest possible dimensions when $n=3$ and $m=2$.
    
    
  • March 10, 2015
    Chuan Xue, Ohio State University
    Chemotaxis, velocity jump process and the Keller-Segel equations
    Chemotaxis is the directed movement of cells or organisms towards external chemical signals in the environment. Chemo-taxis of a single bacterium or a eukaryotic cell has been extensively studied and a great deal is known on the molecular machinery involved in intracellular signaling and cell movement. However, systematic methods to embed such information into continuum PDE models for cell population dynamics are still in their infancy. In this talk, I will present our recent results in this aspect for run-and-tumble bacteria whose movement, at the single cell level, is usually modeled by velocity jump processes with internal dynamics. I will show that the well-known Keller-Segel chemotaxis equation is valid when the external signal changes slowly, but inadequate when the signal changes fast.
    
    
  • March 31, 2015
    Ratnasingham Shivaji, The University of North Carolina Greensboro
    Existence Results for Classes of Steady State Reaction Diffusion Equations
    Abstract
    
    
  • April 14, 2015
    Kyril Tintarev, Uppsala University, Sweden
    TBA
    
    
  • May 5, 2015
    Xiangwen Zhang, Columbia University
    Uniqueness Theorem for convex surfaces
    A classical uniqueness problem of Alexandrov says that: a closed strictly convex twice differentiable surface in $R^3$ is uniquely determined to within a parallel translation when one gives a proper function of the principle curvatures. We will talk about a PDE proof for this theorem, by using the maximal principle and weak uniqueness continuation theorem of Bers-Nirenberg. Moreover, a stability result related to the uniqueness problem will be mentioned. This is joint work with P. Guan and Z. Wang.
    

  SCHEDULE Spring 2014:
  

  • February 27, 2014
    Dongbin Xiu, University of Utah
    Multi-dimensional polynomial interpolation on arbitrary nodes
    Abstract: Polynomial interpolation is well understood on the real line. In multi-dimensional spaces, one often adopts a well-established one-dimensional method and fills up the space using certain tensor product rule. Examples like this include full tensor construction and sparse grids construction. This approach typically results in fast growth of the total number of interpolation nodes and certain fixed geometrical structure of the nodal sets. This imposes difficulties for practical applications, where obtaining function values at a large number of nodes is infeasible. Also, one often has function data from nodal locations that are not by "mathematical design" and are ``unstructured''. In this talk, we present a mathematical framework for conducting polynomial interpolation in multiple dimensions using arbitrary set of unstructured nodes. The resulting method, least orthogonal interpolation, is rigorous and has a straightforward numerical implementation. It can faithfully interpolate any function data on any nodal sets, even on those that are considered degenerate by the traditional methods. We also present a strategy to choose ``optimal'' nodes that result in robust interpolation. The strategy is based on optimization of Lebesgue function and has certain highly desirable mathematical properties.
    
    
  • TUESDAY March 11, 2014, 5:00pm, ROOM 6417 (Note special time, and room!)
    Friedemann Schuricht, TU-Dresden
    Non-smooth variational problems
    Abstract: Several problems arising in physics lead to natural lack of differentiability in the models used to describe them. Appropriate tools are needed to handle the questions of existence of solutions in such framework. We present some fundamental ideas that allow to treat some convex functional that are not necessarily differentiable.
    
    
  • March 13, 2014
    Edger Sterjo, Graduate Center at CUNY
    An introduction to Morse Theory and its applications
    Abstract: Given a function f defined on a manifold M, both sufficiently differentiable, what is the topological significance of the critical points of f? In one dimension, for example, the level sets of the parabola f(x) = x^2 all have 2 components, except at the critical value y=0, at which the level set is a point. Similarly on R^2, the function f(x,y) = x^2 - y^2 has level sets which are hyperbolas, except at the critical value z=0, where the level set is the union of two diagonals. The idea of Morse theory is to relate the critical point structure of f to the topological characteristics of it's (sub)level sets. In all of this compactness properties play a big role. However, in the infinite dimensional setting, where our manifold is no longer locally compact, we must make up for this lack of compactness by imposing a further condition on our function.
    
    
  • March 20, 2014
    Alessandro Ottazzi, CIRM, Bruno Kessler Foundation, Trento, Italy
    Maps on stratified Lie groups
    Abstract: In this talk I discuss some new results concerning the study of special maps on Carnot-Carathéodory spaces, obtained in different collaborations. I shall begin with the definition of Carnot-Carathéodory space and that of Carnot group. Then I describe the classes of maps in which I am interested: isometries, conformal maps, quasiconformal maps. Finally, I will briefly comment on the techniques that are used in the proofs, with particular attention on Tanaka prolongation theory.
    
    
  • March 27, 2014
    Cyril Joël Batkam, University of Sherbrooke (Canada)
    Multiple solutions to some differential systems with strongly indefinite variational structure
    Abstract: Abstract
    
    
  • April 10, 2014
    Michael McCourt, University of Colorado, Denver
    Positive Definite Kernels, Opportunities and Challenges
    Abstract: Scattered data approximation, the process of fitting a function to given data, is an important tool in applications including spatial statistics, econometrics, machine learning, computer graphics and others. In one dimension, polynomials and splines are often used; however, when higher dimensions are considered, possibly with oddly-shaped domains, polynomials and splines can prove problematic. Positive definite kernels (sometimes called radial basis functions) provide a mechanism for conducting mesh free approximation in higher dimensions and complicated domains without the fear of non-uniqueness that accompanies polynomials. In this talk we will introduce positive definite kernels and focus on the properties of the Gaussian, long the preferred kernel of many applications because of its spectrally accurate convergence properties. We will explain how interpolation with a Gaussian basis has the potential to outperform polynomial interpolation, even in one dimension, and also show how numerical instabilities can sabotage this superior performance. We will then describe a new technique to stably evaluate Gaussian interpolants, allowing for their theoretically optimal behavior to emerge.
    
    
  • April 24, 2014
    Dhanya Rajendran, Tata Institute, Bangalore (India)
    Critical growth elliptic problem with singular discontinuous nonlinearity in R2
    Abstract: Elliptic problems with discontinuous nonlinearity has its own difficulties due to the non-differentiability of the associated functional. Hence, a generalized gradient approach developed by Chang has been used to solve such problems if the associated functional is known to be Lipchitz continuous. In this talk, we will consider critical elliptic problem in a bounded domain in R^2 with the simultaneous presence of a Heaviside type discontinuity and a power-law type singularity and investigate the existence of multiple positive solutions. Here discontinuity coupled with singularity does not fit into any of the known framework and we will discuss our approach employed to obtain multiple positive solutions.
    
    
  • May 1, 2014
    One day symposium in Room 4102 from 9:30am-4:00pm
    Hyperbolic Conservation Laws: Recent Progress
    Speakers: Alberto Bressan, Geng Chen, Sebastian Noelle, Ronghua Pan
    An event sponsored by the Initiative for the Theoretical Sciences at CUNY (ITS)
    
    
  • May 8, 2014
    No seminar: Undergraduate Lecture at CSI
    
    
  • May 15, 2014 (!! Meeting at 3:00pm !!)
    Abbas Bahri, Rutgers University
    Periodic orbits of Reeb vector fields in dimension three
    Abstract:
    
    
  • May 22, 2014
    Mythily Ramaswamy, Tata Institute, Bangalore
    Control aspects of Navier-Stokes equations
    Abstract: We recall the concepts of contrability and stabilization for PDEs' and apply it for the compressible Navier-Stokes system in one dimension.
    
    
    
    

  SCHEDULE Fall 2013:
  

  • September 5, 2013
    Ratnasingham Shivaji, University of North Carolina
    Uniqueness of Nonnegative Radial Solutions for Semipositone Problems on Exterior Domains
    Abstract: Abstract
    
    
  • September 13, 2013 (Friday instead of Thursday)
    R. Prashanth, Tata Institute, Bangalore (India)
    Simplicity for Rayleigh quotient
    Abstract: In this talk I will explain some results on the simplicity of minimisers for Rayleigh quotient given in a very general form
    
    
  • September 19, 2013
    No seminar
    
    
  • September 26, 2013 (at 2:45pm !!)
    Radoslaw Wojciechowski, York College at CUNY
    Spectral properties and intrinsic metrics on infinite graphs
    Abstract: I will introduce the concept of an intrinsic metric on an infinite weighted graph and study applications to spectral properties of the Laplacian. In particular, I will address issues of self-adjointness as well as estimating the bottom of the spectrum from above by the volume growth and from below by a Cheeger-type constant. This is joint work with several groups of authors.
    
    
  • October 3, 2013
    No Seminar
    
    
  • October 10, 2013
    Hui Wang, Rutgers University
    A semilinear singular Sturm-Liouville equation involving measure data
    Abstract: We consider a semilinear singular Sturm-Liouville equation involving measure data. More precisely, it is a second order ODE on the interval (-1,1) in the divergence form, with the leading coefficient taking zero value at the origin, with a power nonlinearity and with a bounded Radon measure as the right-hand side. We answer the questions of the existence, nonexistence, uniqueness, and non-uniqueness of the solution(s). We also classify the isolated singularity at 0.
    
    
  • October 17, 2013
    Luca Capogna, Worcester Polytechnic Institute
    Smoothness of isometries between subRiemannian manifolds
    Abstract: In a joint work with Enrico Le Donne (Jyvaskyla, Finland) we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.
    
    
  • October 24, 2013
    Meijun Zhu, University of Oklahoma
    Sharp Sobolev inequalities in global analysis
    Abstract: In this talk, I shall explain how PDEs can be used for the study of global analysis problems, in particular the essential roles that certain sharp Sobolev inequalities play: From the uniformization Theorem, one can obtain Gauss-Bonnet formula; From the sharp Sobolev inequality, one can solve the Yamabe problem under the energy condition; Using the fact that Liouville energy is bounded from below, one can reprove the uniformization theorem via Ricci flow on a topological sphere. Sharp Soboleb inequality with negative power will also be discussed.
    
    
  • October 31, 2013
    Meijun Zhu, University of Oklahoma
    Reversed Hardy-Littlewood-Sobolev inequality
    Abstract: For the classically defined integral operator $I_\alpha f$, we establish the reversed Hardy-Littlewood-Sobolev inequality for $\alpha>n$. In conformal case, we also prove the sharp inequality. The motivation, as well as possible applications of such inequality, in particular its relation to the sharp Sobolev inequality with negative power will be discussed.
    
    
  • November 7, 2013
    No Seminar
    
    
  • November 14, 2013
    Ran Ji, CUNY Graduate Center
    The asymptotic Dirichlet problems on manifolds with negative curvature
    Abstract: Elton P. Hsu used probabilistic method to show that the asymptotic Dirichlet problem is uniquely solvable under the curvature conditions $-C e^{2-\eta}r(x) \leq K_M(x)\leq -1$ with $\eta>0$. We give an analytical proof of the same statement by a modification of an argument due to M. T. Anderson and R. Schoen. With this method we are able to construct a Harnack type inequality and use it to study the Martin boundary.
    
    
  • November 21, 2013
    TBA
    TBA
    Abstract:
    
    
  • Friday December 13, 2013
    RU-CUNY symposium on Geometric analysis in Room 4102 from 9:30am-4:00pm
    TBA
    Speakers: TBA
    
    
    

  SCHEDULE Spring 2013:
  

  • February 7, 2013
    No Seminar
    
    
  • February 14, 2013
    Yuan Lou, The Ohio State University
    Asymptotic behavior of the principal eigenvalue for cooperative elliptic operators and applications
    Abstract: I will discuss the asymptotic behavior of the principal eigenvalue for general linear cooperative elliptic systems with sufficiently small diffusion rates. As an application, we show that if a cooperative system of ordinary differential equations has a unique positive steady state which is globally asymptotically stable, then the corresponding reaction-diffusion system with either the Neumann boundary condition alsohas a unique positive steady state which is globally asymptotically stable, provided that the diffusion coefficients are small. This is a joint work with King-Yeung Lam, Mathematical Biosciences Institute.
    
    
  • February 21, 2013
    Mikhail Shklyar, Graduate Center (CUNY)
    Minimizers for a Moser-Trudinger type functional
    Abstract: We summarize some known results that ensure existence of minimizers for a functional that is related to the two-dimensional Moser-Trudinger inequality
    
    
  • February 28, 2013
    One day symposium in Room 4102 from 9:30am-4:00pm
    Perspectives on Ricci Flow
    Speakers: David Glickenstein, Dan Knopf, Jian Song, Ioana Suvaina
    An event sponsored by the Initiative for the Theoretical Sciences at CUNY (ITS)
    
    
  • March 7, 2013
    Costante Bellettini, Princeton University and Institute for Advanced Study
    Regularity issues for Calibrated Currents
    Abstract: Calibrated currents provide interesting explicit examples of solutions to Plateau's problem. Their role goes however much beyond that: they naturally appear when dealing with several geometric questions, some aspects of which require a deep understanding of regularity properties of calibrated currents. After this introduction I will present an "infinitesimal regularity" result, namely on the uniqueness of tangent cones for pseudo holomorphic currents.
    
    
  • March 14, 2013
    One day symposium in Room 4102 from 9:30am-4:00pm
    Pi-Day with Chern-Simons Theory
    Speakers: Zheng-Chao Han (Rutgers University), Jyotsna Prajapat (PI-Institue, Abu Dhabi), Daniel Spirn (University of Minnesota), Gabriella Tarantello (Rome University II)
    Schedule, abstract and Poster
    An event sponsored by the Initiative for the Theoretical Sciences at CUNY (ITS)
    
    
  • Friday March 15, 2013
    Research group discussion with Prof. Fridemann Schuricht (Dresden University) and Prof Shivaji Ratnasingham (University of North Carolina) on analytic technics in nonlinear analysis and nonsmooth analysis.
    Meeting takes place in the Room 4412 (ITS Room)
    
    
  • March 21-March28, 2013
    No Seminar (Spring Break)
    
    
  • April 4, 2013
    Marco Squassina, University of Verona
    Symmetry in variational principles and applications
    Abstract: We formulate symmetric versions of classical variational principles in the framework of smooth and nonsmooth critical point theory. Then, we discuss their applications to nonlinear partial differential equations.
    
    
  • April 11, 2013
    Changfeng Gui, University of Connecticut
    Traveling wave solutions to reaction diffusion equations with fractional Laplacians
    Abstract: In this talk, I will discuss the existence and asymptotic behavior of traveling wave solutions to Allen-Cahn equation with fractional Laplacians where the double well potential has unequal depths. A key ingredient is the estimate of the speed of the traveling wave in terms of the potential, which seems new even for the classical Allen-Cahn equation. I will also discuss nonexistence of traveling wave solutions to a nonlocal combustion model. The talk is based on recent results obtained jointly with Tingting Huan and with Mingfeng Zhao respectively.
    
    
  • April 18, 2013
    No Seminar
    
    
  • April 25, 2013
    One day symposium in Room 4102 from 9:30am-4:00pm
    Topics in Numerical Analysis
    Speakers: Yves Bourgault (University of Ottawa, Canada), David Dritschel (St Andrews University, UK), Tim Kelley (North Carolina), Jie Shen (Purdue University)
    Schedule, abstract and Poster
    An event sponsored by the Initiative for the Theoretical Sciences at CUNY (ITS)
    
    

  PAST ACTIVITIES
  
  
  
  

  Applied Mathematics Seminar

  Here are some past seminars organized in the "applied Mathematics" seminar at the Graduate Center.
  

  • 04/08/2011: Ratnasingham Shivaji, Mississipi State University, Positive Solutions for Nonlinear Elliptic Systems with Combined Nonlinear Effects [abstract].
  • 03/11/2011: Friedemann Schuricht, Dresden University of Technology, Eigenvalue problem of the 1-Laplace operator [abstract].
  • 04/16/2010: Peter Gordon, New Jersey Institute of Technology, Thermal explosion in porous media as a blow up problem.
  • 04/12/2010: Zhong-Wei Tang, Beijing Normal University, Multibump solutions of nonlinear Schrödinger equations with indefinite potential.
  • 04/05/2010: Florin Catrina, St. John University, An energy balance identity and radial solutions for elliptical PDE's.
  • 02/19/2010: Sasha Stoikov, Cornell University, A stochastic model for order book dynamics.
  • 12/18/2009: Vitaly Moroz, Swansea University, Existence and concentration for nonlinear Schrödinger equations with fast decaying.
  • 12/04/2009: Maria Psarelli, Bronx CC - CUNY, Time decay properties of nonlinear Maxwell-Dirac equations in 4-dimensional Minkowski spacetime.
  • 11/13/2009: Carlo Lancellotti, College of Staten Island - CUNY, The Master Equation Approach in Kinetic Theory.
  • 03/14/2008: Enea Parini, University of Cologne, Some results about Cheeger sets: uniqueness and non-uniqueness.
  • 03/14/2008: Bernd Kawohl, University of Cologne, Variational versus PDE-based Approaches in Mathematical Image Processing.
  • 02/15/2008: Cyrill Muratov, New Jersey Institute of Technology, Self-induced stochastic resonance: How new non-random behaviors can arise from the action of noise.
  
  

  Special events organized at the Graduate Center

  • February 23, 2012: Recent Developments in minimal surfaces (with Z. Huang).
  • October 2011: Symposium on Recent advances in 3D Euler and Navier-Stokes equations (with J. Vukadinovic).
  • September 2011: Symposium on Recent trends in nonlinear PDEs (with Z. Huang).
  • March 2011: Symposium on Vortex Dynamics and non-equilibrium statistical mechanics (with Andrew Poje) flyer, schedule.
  • May 2010: Field Theory workshop. Speakers: Justin Vazquez-Poritz, Maria Psarelli, Peter Orland (with Tobias Schäfer).
  • March 2010: CUNY Geometric Analysis 2010, Bubbling Phenomena and Non-Compactness (with B. Santoro, J. Dodziuk).
  • June 2008: CUNY Isoperimetric Inequality Workshop (with C. Sormani).