## Bryna Kra

Bryna Kra works in ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.

**Prizes and Honors:**

- Sarah Rebecca Roland Professor of Mathematics at Northwestern University
- Fellow of the American Mathematical Society (2012)
- Levi L. Conant Prize of the American Mathematical Society (2010)
- American Mathematical Society Centennial Fellowship (2006)
- Invited Speaker, International Congress of Mathematicians, Madrid (2006)

**Selected Publications:**

- V. Cyr and B. Kra. The automorphism group of a shift of linear growth: beyond transitivity. Forum Math. Sigma 3 (2015), e5, 27 pp.
- V. Cyr and B. Kra. Nonexpansive Z2-subdynamics and Nivat's Conjecture. Trans. Amer. Math. Soc. 367 (2015), no. 9, 6487–6537.
- N. Frantzikinakis, B. Host and B. Kra. The polynomial multidimensional Szemeredi Theorem along shifted primes.Israel J. Math. 194 (2013), no. 1, 331--348.
- B. Host, B. Kra and A. Maass. Nilsequences a structure theorem for topological dynamical systems.Adv. Math. 224 (2010), 103--129
- B.Host and B. Kra. Uniformity seminorms on l-infinity and applications.J. Anal. Math. 108 (2009), 219--276.
- B. Kra. The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view. Bull. Amer. Math. Soc., 43 (2006), 3--23.
- N. Frantzikinakis and B. Kra. Polynomial averages converge to the product of the integrals. Isr. J. Math., 148 (2005), 267--276.
- B. Host and B. Kra. Convergence of polynomial ergodic averages. Isr. J. Math., 149 (2005), 1--19.
- V. Bergelson, B. Host and B. Kra. Multiple recurrence and nilsequences. Inventiones Math.,160 (2005), 261--303.
- B. Host and B. Kra. Nonconventional ergodic averages and nilmanifolds. Annals of Math., 161 (2005), 397--488.