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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
- Member, National Academy of Sciences (2019)
- Fellow, American Academy of Arts and Sciences (2016)
- 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)
- V. Cyr and B. Kra. Counting generic measures for a subshift of linear growth. J. Eur. Math. Soc.(JEMS) 21 (2019), no. 2, 355–380.
- V. Cyr, J. Franks, B. Kra and S. Petite. Distortion and the automorphism group of a shift. J. Mod. Dyn. 13 (2018), 147–161.
- V. Cyr and B. Kra. The automorphism group of a minimal shift of stretched exponential growth. J. Mod. Dyn. 10 (2016), 483–495.
- V. Cyr and B. Kra. Nonexpansive Z2-subdynamics and Nivat's Conjecture. Trans. Amer. Math. Soc. 367 (2015), no. 9, 6487–6537.
- 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.
- 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.