Rainwater Seminar
Rainwater Seminar
The Rainwater Seminar covers a broad range of topics in Modern Analysis, including Real and Complex Analysis, Geometric Measure Theory, Ergodic Theory and Geometric Dynamics. This reflects the recent trends and emerging areas in Non-Smooth Analysis and Geometry, characterized by interdisciplinary connections. Some examples of these areas are Gromov's hyperbolic spaces, measure metric spaces, dynamics on translation surfaces, Schramm's Stochastic Loewner Evolution, the Zipper algorithm for conformal mappings, fractals arising in PDE's and in Dynamics, and PDEs on non-smooth domains.
The seminar meets on Tuesdays at 1:30 in PDL C-401, and may last up to two hours. In a two hour session the first 30 minutes will provide a general introduction accessible to first and second year graduate students. Then there will be a 15-20 minute coffee break (at which time it is perfectly permissible to leave), followed by an hour talk.
The seminar reflects the interests of Jayadev Athreya, Don Marshall, Steffen Rohde, Stefan Steinerberger, Tatiana Toro and Bobby Wilson.
Upcoming Events
Past Events
- A Harnack inequality for weak solutions of anisotropic PDEs (Max Goering, University of Washington) -
- Length Spectral Rigidity of Flat and Hyperbolic Metrics (Marissa Loving, Georgia Tech) -
- Interface pinning and anisotropies arising from periodic homogenization (William Feldman, University of Utah) -
- Geodesic Currents and the Marked Length Spectrum (Noelle Sawyer, Southwestern University) -
- Quantitative decompositions of Lipschitz mappings (Raanan Schul, Stony Brook University) -
- Boundary unique continuation of Dini domains (Zihui Zhao, University of Chicago) -
- Random Walks on the Sphere and Linear Systems of Equations (Stefan Steinerberger, University of Washington) -
- Topological characterisations of Loewner traces (Yizheng Yuan, Berlin) -
- On p-ellipticity and connections to solvability of elliptic complex valued PDEs (Martin Dindos, Edinburgh) -
- Thurston maps with four postcritical points (Annina Iseli, UCLA) -
- The Riemannian Quantitative Isoperimetric Inequality (Max Engelstein, UMN) -
- General Exam (David Simmons, UW) -
- Loewner energy, determinants of Laplacians, and Brownian loop measure (Yilin Wang, MIT) -
- Regularity Bootstrapping for fourth order nonlinear equations ( Arunima Bhattacharya) -
- Moving Averages and Coboundaries in Dynamical Systems (Joseph Rosenblatt, Univ. Illinois) -
- A quantification of the Besicovitch projection theorem and its generalizations (Blair Davey, CUNY) -
- Weak-* stability and potential Navier-Stokes singularities (Dallas Albritton) -
- L^2 bounds for a maximal directional Hilbert transform (Jongchon Kim, UBC) -
- Wasserstein Distance in Analysis, Number Theory and PDEs (Stefan Steinerberger, Yale) -
- Working Seminar (overview of recent work of Logunov-Malinnikova) (Bobby Wilson, UW) -
- Uniformization of random surface and Liouville quantum gravity (Xin Sun, Columbia University) -
- Working Seminar (overview of recent work of Logunov-Malinnikova) (Bobby Wilson, UW) -
- Nonconvexity and compact containment of mean value sets for second order uniformly elliptic operators in divergence form (Niles Armstrong, Kansas State University) -
- Counting Conjugacy Classes: Groups Rebelling Against Dynamics (Catherine Pfaff, Queen's University) -
- Ancient collapsed solutions of mean curvature flow (Theodora Bourni, University of Tennessee ) -
- Regularity of soap films near the boundary (Guy David, University of Paris XI) -
- Uniformizing surfaces via discrete harmonic maps (Ryokichi Tanaka, Tohoku University) -
- Enumerating square-tiled surfaces in genus two. (Sunrose Shrestha, Tufts University) -
- Counting square-tiled surfaces with prescribed real and imaginary foliations (Francisco Arana Herrera, Stanford) -
- On the size of the singular set in the Stefan problem (Xavier Ros-Oton, Universität Zürich) -
- An Introduction to the Little Lip Function (Bruce Hanson, St. Olaf) -
- Borel Subsystems and Ergodic Universality for Compact Zd-systems via Specification and Beyond (Tom Meyerovitch, Ben-Gurion University of the Negev) -
- Some recent results about geometric variational problems (Yannick Sire, Johns Hopkins) -
- Combinatorial Problems Related to Automorphism Groups of Compact Riemann Surfaces (Charles Camacho, Oregon State) -
- TBA (Martin Dindos, Edinburgh) -
- Minimal surfaces by way of complex analysis (Franc Forstneric, University of Ljubljana) -
- Multi-phase problems for harmonic measure, harmonic polynomials, and platonic solids. (Matthew Badger) -
- Combinatorial Gauss-Bonnet Theorem and its applications (Byung-Geun Oh (Hanyang University, Republic of Korea)) -
- Low Regularity Solutions for Gravity Water Waves (Albert Ai (UC Berkeley)) -
- On the dimension of Furstenberg measure for SL(2,R) random matrix products and the Diophantine condition in matrix groups. (Boris Solomyak (University of Bar-Ilan )) -
- Anisotropic counterpart of Allard’s rectifiability theorem and Plateau problem. (Antonio De Rosa, Courant Institute) -
- Soap films with gravity and almost-minimal surfaces (Salvatore Stuvard, UT Austin) -
- TBA (Bobby Wilson, UW) -
- Geometric realization of cyclically branched covers over spheres (Dami Lee, UW) -
- Regularity of Weak Solutions to Linear Parabolic Systems with Measurable Coefficients (Simon Bortz, UW) -
- Uniform level set estimates for the first Dirichlet eigenfunction (Thomas Beck, University of North Carolina) -
- Homomorphisms of pure mapping class groups to the integers (Priyam Patel, UCSD) -
- TBA (Priyam Patel, UCSD) -
- C^ {1, α} Reifenberg Theorems for Sets and Measures (Silvia Ghinassi, Stony Brook ) -
- Equidistribution of expanding translates of shrinking curves and Dirichlet's approximation theorem (Pengyu Yang , Ohio State University) -