Professor Emeritus Contact Information dmarshal@uw.edu (206) 543-1808 PDL C-540 Personal Website Fields of Interest Complex Analysis Non-Smooth Analysis numerical conformal mapping Biography PhD, University of California, Los Angeles, 1976 Curriculum Vitae (21.51 KB) Courses Taught Winter 2024MATH 207 B: Introduction to Differential Equations MATH 530 A: Seminar in Analysis Autumn 2023MATH 530 A: Seminar in Analysis Spring 2023MATH 530 A: Seminar in Analysis Winter 2023MATH 427 A: Complex Analysis MATH 530 A: Seminar in Analysis Affiliations Home Department Mathematics Professional Affiliations American Mathematical Society News & Events Related News UW in the High School (March 21, 2025) Analysis-Geometry-Probability Day (September 25, 2024) NSF Highlight on the Zipper Algorithm (March 1, 2012) Related Events Rainwater Seminar: Billiards in polygons - May 6 2025, 1:30pm Rainwater Seminar: Quantitative weak mixing for substitution dynamical systems - February 25 2025, 1:30pm 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} Reifenberg Theorems for Sets and Measures - 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
