Professor

### Fields of Interest

### Biography

PhD, Technische Universität Berlin, 1989

### Courses Taught

### Autumn 2024

### Spring 2024

- MATH 530 A: Seminar in Analysis
- MATH 534 A: Complex Analysis
- MATH 580 B: Current Topics in Mathematics

### Winter 2024

- MATH 300 D: Introduction to Mathematical Reasoning
- MATH 300 E: Introduction to Mathematical Reasoning
- MATH 536 A: Complex Analysis
- MATH 580 B: Current Topics in Mathematics

### Autumn 2023

### Spring 2023

### Winter 2023

### Autumn 2022

- MATH 125 A: Calculus with Analytic Geometry II
- MATH 125 B: Calculus with Analytic Geometry II
- MATH 530 A: Seminar in Analysis

### Spring 2022

### Winter 2022

### Autumn 2021

### Spring 2021

- MATH 530 A: Seminar in Analysis
- MATH 534 A: Complex Analysis
- MATH 583 B: Special Topics in Mathematics

### Winter 2021

### News & Events

### Related News

- NSF Highlight on the Zipper Algorithm (March 1, 2012)

### Related Events

- Current Topics Seminar: How to make a sphere out of two trees, and why -
October 26 2023, 4:30pm - Current Topics Seminar: Session 7 -
November 21 2019, 4:30pm - Rainwater Seminar: Combinatorial Problems Related to Automorphism Groups of Compact Riemann Surfaces -
February 26 2019, 1:30pm - Rainwater Seminar: Minimal surfaces by way of complex analysis -
February 19 2019, 1:30pm - Rainwater Seminar: Multi-phase problems for harmonic measure, harmonic polynomials, and platonic solids. -
February 12 2019, 2:30pm - Rainwater Seminar: Combinatorial Gauss-Bonnet Theorem and its applications -
February 12 2019, 1:30pm - Rainwater Seminar: Low Regularity Solutions for Gravity Water Waves -
February 5 2019, 1:30pm - Rainwater Seminar: On the dimension of Furstenberg measure for
*SL(2,R)*random matrix products and the Diophantine condition in matrix groups. -January 29 2019, 1:30pm - Rainwater Seminar: Anisotropic counterpart of Allard’s rectifiability theorem and Plateau problem. -
December 4 2018, 1:30pm - Rainwater Seminar: Soap films with gravity and almost-minimal surfaces -
November 27 2018, 1:30pm - Rainwater Seminar: TBA -
November 20 2018, 1:30pm - Rainwater Seminar: Geometric realization of cyclically branched covers over spheres -
November 13 2018, 1:30pm - Rainwater Seminar: Regularity of Weak Solutions to Linear Parabolic Systems with Measurable Coefficients -
November 6 2018, 1:30pm - Rainwater Seminar: Uniform level set estimates for the first Dirichlet eigenfunction -
October 30 2018, 1:30pm - Rainwater Seminar: Homomorphisms of pure mapping class groups to the integers -
October 16 2018, 1:30pm - Rainwater Seminar: TBA -
October 16 2018, 1:30pm - Rainwater Seminar: C^ {1, α}
October 9 2018, 1:30pm - Rainwater Seminar: Equidistribution of expanding translates of shrinking curves and Dirichlet's approximation theorem -
May 22 2018, 1:30pm - Rainwater Seminar: Traveling along Hölder curves -
May 15 2018, 1:30pm - Rainwater Seminar: Siegel-Veech transforms are in L^2 -
May 8 2018, 1:30pm - Rainwater Seminar: Elliptic measures and the geometry of the domains -
May 1 2018, 1:30pm - Rainwater Seminar: Automatic convexity and Ornstein's L-one noninequalities -
April 24 2018, 1:30pm - Rainwater Seminar: Stochastic Homogenization for Reaction-Diffusion Equations -
April 17 2018, 1:30pm - Rainwater Seminar: Boundary Regularity for the Free Boundary in the One-phase Problem -
April 10 2018, 1:30pm - Rainwater Seminar: Harmonic measure on sets of co-dimension larger than 1 -
March 27 2018, 1:30pm - Rainwater Seminar: Heat flow on snowballs -
March 6 2018, 1:30pm - Rainwater Seminar: The Zimmer Program -
February 27 2018, 1:30pm - Rainwater Seminar: The nodal set of solutions to sublinear equations -
February 20 2018, 1:30pm - Rainwater Seminar: (Uniform) rectifiability and (integral) Menger curvature -
February 13 2018, 1:30pm - Rainwater Seminar: Minimal Surfaces Close to a Plane and Two-Valued Harmonic Functions -
February 6 2018, 1:30pm - Rainwater Seminar: From Period Coordinates to Teichmueller Distance -
December 5 2017, 1:30pm - Rainwater Seminar: The 1-dimensional extension property in complex analysis -
November 28 2017, 1:30pm - Rainwater Seminar: On minimizers and critical points for anisotropic isoperimetric problems -
November 14 2017, 1:30pm - Rainwater Seminar: Introductory talk: Introduction to Layer Potentials. Main talk: A Singular Integral Approach to Two-Phase Free Boundary Problems -
October 31 2017, 1:30pm - Rainwater Seminar: Uniqueness of mean curvature flow through (some) singularities -
October 24 2017, 1:30pm - Rainwater Seminar: Dynamics, geometry, and the moduli space of Riemann surfaces -
October 17 2017, 1:30pm - Rainwater Seminar: A free boundary problem on three-dimensional cones -
October 10 2017, 1:30pm - Rainwater Seminar: Random trees via conformal welding -
May 23 2017, 1:30pm - Rainwater Seminar: Asymptotically optimal shapes: the drum with lowest n-th frequency, and the ellipse enclosing the most lattice points -
May 16 2017, 1:30pm - Rainwater Seminar: Absolute continuity of harmonic measure on rough domains -
May 9 2017, 1:30pm - Rainwater Seminar: On number of collisions of billiard balls -
April 11 2017, 1:30pm - Rainwater Seminar: Conformal laminations and trees -
February 14 2017, 1:30pm - UW-PIMS Colloquium: Steffen Rohde from University of Washington -
May 2 2014, 2:30pm