People A-Z

Research Interests

Harmonic Analysis; Partial Differential Equations:

Solvability of boundary value problems (Dirichlet, Neumann, Regularity)

Elliptic and Parabolic equations, systems and complex valued PDEs

Partial differential equations with rough coefficients on domains with limited regularity

Connections between harmonic analysis and solvability of PDEs (elliptic and parabolic measures, singular integral operators)

Applications in Geometry, Physics and Mechanics

Research Groups

• Analysis

Current and Recent PhD Students

PhD students (1st supervisor): Josef Kirsch (2008--2012), Luke Dyer (2014-2018).

Post-docs: Treven Wall (2006--2008), Nicholas Longo (2008--2010), Sukjung Hwang (2012--2015)

Recent Conference and Workshop Involvement

Main organizer of ICMS workshop "Harmonic analysis and PDEs" (50 participants), July 2015, Edinburgh.

Co-organizer of mini-symposium in Analysis at the Joint conference of Edinburgh Mathematical Society and Catalan Mathematical Society, May 2015, Barcelona, Spain.

Recent talks:

IAS/PMCI Research Program in Mathematics, Park City, USA, July 2018

Interactions of Harmonic Analysis and Operator Theory, Birmingham

ICMAT Workshop on Harmonic Analysis, Partial Differential Equations and and Geometric Measure Theory, Madrid

Previous Employment

Clay Mathematics Institute, Cambridge MA, Liftoff Fellow, summer 2001 Department of Mathematics, Cornell University, Assistant Professor, 2001-2004 Department of Mathematics, Brown University, Assistant Professor, 2004-2005

Education

Ph.D University of North Carolina, Chapel Hill NC (USA) (2001)

Ph.D Comenius University Bratislava (Slovakia) (2000)

Publications

• Personal webpage with publications