Bryna Kra | PIMS - Pacific Institute for the Mathematical Sciences

Professor of Mathematics, Northwestern University

Bryna Kra is the Sarah Rebecca Roland Professor of Mathematics at Northwestern University. She earned her doctorate from Stanford University and held positions at the University of Jerusalem in Israel, the Institute des Hautes Etudes Scientifiques in France, at the University of Michigan, the Ohio State University, and Pennsylvania State University, before joining the faculty at Northwestern University in 2004. She was awarded the Centennial Fellowship of the American Mathematical Society in 2006 and the Conant Prize of the American Mathematical Society in 2010, and was elected an inaugural fellow of the American Mathematical Society in 2012. In 2016, she became a fellow of the American Academy of Arts and Sciences and in 2019 she was elected to the National Academy of Sciences. Kra works in ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.

Since Szemeredi's Theorem and Furstenberg's proof thereof using ergodic theory, dynamical methods have been used to show the existence of numerous patterns in sets of positive upper density. These tools have led to uncovering new patterns that occur...

The Symposium is supported by the Pacific Institute for the Mathematical Sciences. As part of this year's meeting, we plan to celebrate the 65th birthday of Karl Petersen of the University of North Carolina. We gratefully acknowledge additional...

Resolving a conjecture of Erdos and Turan from the 1930's, in the 1970's Szemeredi showed that a set of integers with positive upper density contains arbitrarily long arithmetic progressions. Soon thereafter, Furstenberg used Ergodic Theory to gave a...