March 2-6, 2020
The workshop will bring together experts in Analysis, Dynamics, Geometry and Probability. These fields have had fruitful interaction in the past and present. One example is the connection between Brownian motion, harmonic measure, analysis of singular integrals, and geometric properties of domains. Another example is dynamics interacting with geometric properties of quasiconformal mappings. Finally we mention the interaction between analytic and probabilistic methods and computational problems. The purpose of the workshop will be to share insights and foster further interaction between the fields. To this end, an emphasis will be given to talks being accessible to a broad audience of mathematicians and physicists. …

Sir Simon Donaldson
Stony Brook University Distinguished Professor of Mathematics
Xiuxiong Chen
An endowment made in the memory of Dr. John H. Marburger, III, former president of Stony Brook University, director of Brookhaven National Laboratory, science advisor to President George W. Bush, and Vice President for Research at Stony Brook, provides funding support for women undertaking advanced graduate study in the physical sciences, engineering, or mathematics.
Aleksander Doan is a Ph.D. candidate in the Department of Mathematics, working in the field of differential geometry. In his thesis, he studied the phenomenon of energy concentration for solutions to the equations of gauge theory, and explored a relationship between gauge theory and algebraic geometry.