2024
Paul Plucinsky (University of Southern California)
Effective continuum theories for origami and kirigami metamaterials
Leon Bungert (University of Würzburg)
Convergence rates for graph-based learning featuring singular PDEs
Leonard Kreutz (Technical University of Munich, Germany)
Finite crystallization via stratification
Simone Steinbrüchel (University of Leipzig)
The typical area-minimizing Current is unique and has Multiplicity One
Yuan Gao (Purdue University)
Optimal Control for Markov Jump Processes with application to transition path theory
Milton Lopes Filho (Federal University of Rio de Janeiro)
On energy balance in 2D incompressible ideal fluid flow
Daniel Spector (National Taiwan Normal University)
An Atomic Decomposition for Divergence Free Measures
Lucas Bouck (Carnegie Mellon University)
Liquid crystal polymeric networks: modeling, approximation, and computation
Xingyu Zhu (University of Bonn)
Nonnegative Ricci curvature and linear volume growth revisited
2023
David Padilla-Garza (TU Dresden)
Mathematical challenges and developments in the nonlinear bending theory for plates
Andrej Zlatoš (University of California, San Diego)
Homogenization in front propagation models
Antonio De Rosa (University of Maryland / Bocconi University)
Regularity of anisotropic minimal surfaces
Molei Tao (Georgia Tech)
Implicit biases of large learning rates in machine learning
Reinaldo Resende (Carnegie Mellon University)
Regularity results for area minimizing currents
Francesco Maggi (UT Austin)
Plateau's laws for soap films, the Allen--Cahn equation, and a hierarchy of Plateau-type problems
Michael Novack (Carnegie Mellon University)
Exterior isoperimetry and a mesoscale regularity theorem
Lihan Wang (Carnegie Mellon University)
Anomalous diffusion of a passive tracer advected by 2D Gaussian free field
Tarek Elgindi (Duke University)
Twisting in Hamiltonian Flows and Irreversibility in Perfect Fluids
Daniel Restrepo (UT Austin)
The Euclidean Isoperimetric problem and its gradient flow: a phase transitions approach
Konstantinos Zemas (University of Münster)
Homogenization of nonlinear randomly perforated materials under minimal assumptions on the geometry
Guy Bouchitté (Université du Sud Toulon-Var)
Optimal design versus maximal Monge-Kantorovich metrics
Armin Schikorra (University of Pittsburgh)
Div-curl estimates and harmonic maps: local and nonlocal
Antonio De Rosa (University of Maryland)
Min-max construction of anisotropic CMC surfaces
Elisa Negrini (IPAM, UCLA)
Applications of no-collision transport maps in image processing and data science
Woongbae Park (University of Pittsburgh)
An introduction to conformal heat flow of harmonic maps
2022
Dallas Albritton (IAS Princeton)
Non-uniqueness of Leray solutions to the forced Navier-Stokes equations
Matt Jacobs (Purdue University)
Adversarial training and the generalized Wasserstein barycenter problem
Rita Ferreira (KAUST)
Structural changes in nonlocal denoising models arising through bi-level parameter learning
José Iglesias (University of Twente)
Total [generalized] variation image regularization with piecewise constant weights
Leonard Kreutz (Carnegie Mellon University)
Geometric rigidity in variable domains
Antoine Remond-Tiedrez (University of Cambridge)
Moist potential vorticity inversion: a nonlinear elliptic PDE from atmospheric dynamics with free boundaries
Krutika Tawri (Indiana University, Bloomington)
On stochastic partial differential equations with a Ladyzenskaya-Smagorinsky type nonlinearity
Luca Spolaor (UC San Diego)
(Quasi-)conformal methods in two-dimensional free boundary problems
Jingmei Qiu (University of Delaware)
A Conservative Adaptive Low Rank High Order Tensor Approach for Nonlinear Vlasov Equations
Mahamadi Warma (George Mason University)
Turnpike properties for fractional control problems
Marco Cicalese (Technical University of Munich, Germany)
The antiferromagnetic XY model on the triangular lattice
Pierre-Emmanuel Jabin (Penn State University)
The mean-field limit of the Vlasov-Poisson-Fokker-Planck equation
Gal deBotton (Ben-Gurion University)
Statistical Mechanics Analysis of Electroactive Copolymers
Lihan Wang (Carnegie Mellon University)
Optimal artificial boundary conditions for three-dimensional elliptic random media
Peter Morfe (University of Chicago)
Periodic Homogenization of Non-variational Interface Motions
2021
Giovanni Alberti (Università di Pisa)
Grain boundaries in minimal planar N-partitions for large N
Caterina Zeppieri (University of Münster)
Homogenization of free-discontinuity functionals
Harald Garcke (Universität Regensburg)
Cahn-Hilliard type models for tumour growth
Jacob Bedrossian (University of Maryland)
Positive Lyapunov exponents for 2d Galerkin-Navier-Stokes with stochastic forcing
Zihui Zhao (University of Chicago)
Boundary unique continuation of Dini domains and the estimate of the singular set
Matteo Novaga (Università di Pisa)
Anisotropic and fractional mean curvature flow of mean convex sets
Theresa Simon (Universität Bonn)
Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere
Mikhail Karpukhin (CalTech)
Optimization of Laplace and Steklov eigenvalues with applications to minimal surfaces
Julian Fischer (IST Austria)
Interface evolution problems in fluid mechanics and geometry: Weak-strong uniqueness principles and convergence of phase-field approximations
Yunbai Cao (Rutgers University)
Passage from the Boltzmann equation with Diffuse Boundary to the Incompressible Euler equation with Heat Convection
Dmitry Golovaty (The University of Akron)
A variational method for generating cross fields using higher order Q-tensors
Susana Gomes (University of Warwick)
Parameter estimation for pedestrian dynamics models
Jun Kitagawa (Michigan State University)
Semi-discrete optimal transport with storage fees, some theory and numerics
Manuel Friedrich (Universität Münster)
Gamma-convergence for free-discontinuity problems in linear elasticity
Marta D'Elia (Sandia National Laboratories)
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws
Martina Hofmanova (Universität Bielefeld)
On ill- and well-posedness of dissipative martingale solutions to stochastic 3D Euler equations
André Schlichting (WWU Münster)
Dynamic behavior of growth processes: Phase separation, self-similarity, and oscillations
Adrian Ruf (ETH Zurich)
Nonlocal conservation laws: improved regularity and higher-order numerical methods
Marcelo Disconzi (Vanderbilt University)
The relativistic Euler equations with a physical vacuum boundary
2020
Antonin Chambolle (University Paris-Dauphine)
Almost Korn and Poincaré-Korn inequalities for displacements with discontinuities
Mahir Hadzic (University College London)
(In)Stability Theory for Relativistic Galaxies and Stars
Sam Punshon-Smith (Brown University)
A regularity method for quantitative lower bounds on the Lyapunov exponent for SDEs: with a proof of chaos for Lorenz 96
Oscar Lopez Pamies (University of Illinois)
When and How Fracture Nucleates and Propagates in Rubber
Xin Yang Lu (Lakehead University)
Centroidal Voronoi Tessellations And Gersho’s Conjecture In 3D And On The Sphere
Alex Dunlap (Stanford University)
Stationary solutions for the stochastic Burgers equation on the line
Marco Morandotti (Politecnico di Torino)
Spatially inhomogeneous evolutionary games and applications to social dynamics with label switching
Anastasia Molchanova (TU Wien)
Failure of injectivity for limits of Sobolev homeomorphisms
Jeff Calder (University of Minnesota)
Discrete to continuum in graph-based learning on k-nearest neighbor graphs
Camillo De Lellis (Institute for Advanced Study)
Nonclassical minimizing oriented surfaces
Hung Vinh Tran (University of Wisconsin Madison)
Optimal rate of convergence in periodic homogenization of Hamilton-Jacobi equations