Bryna Kra

Q: What Schools Are Affiliated With Bryna Kra

Bryna Kra is affiliated with the following schools: University of California, Berkeley, University of Michigan, Northwestern University, Princeton University, Pennsylvania State University, Stanford University, Harvard University

Bryna Kra's AcademicInfluence.com Rankings

Bryna Kra

Mathematics

#3916

World Rank

#5662

Historical Rank

#1397

USA Rank

Measure Theory

#4580

World Rank

#5360

Historical Rank

#1270

USA Rank

mathematics Degrees

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Mathematics

Bryna Kra's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Bryna Kra Influential?

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According to Wikipedia, Bryna Rebekah Kra is an American mathematician and Sarah Rebecca Roland Professor at Northwestern University who is on the board of trustees of the American Mathematical Society and was elected the president of American Mathematical Society in 2021. As a member of American Academy of Arts and Sciences and National Academy of Sciences, Kra has made significant contributions to the structure theory of characteristic factors for multiple ergodic averages. Her academic work centered on dynamical systems and ergodic theory, and uses dynamical methods to address problems in number theory and combinatorics.

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Bryna Kra's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Nonconventional ergodic averages and nilmanifolds (2005) (426)
Multiple recurrence and nilsequences (2005) (178)
Convergence of polynomial ergodic averages (2005) (100)
Uniformity seminorms on ℓ∞ and applications (2009) (72)
Nilsequences and a structure theorem for topological dynamical systems (2009) (71)
Polynomial averages converge to the product of integrals (2004) (63)
Multiple recurrence and convergence for sequences related to the prime numbers (2006) (62)
Nilpotent Structures in Ergodic Theory (2018) (62)
The automorphism group of a minimal shift of stretched exponential growth (2015) (61)
The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view (2005) (56)
Convergence of Conze–Lesigne averages (2001) (52)
Convergence of multiple ergodic averages for some commuting transformations (2004) (46)
THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY (2014) (43)
The polynomial multidimensional Szemerédi Theorem along shifted primes (2010) (42)
Nonexpansive Z(2)-Subdynamics and Nivat's Conjecture (2012) (40)
Ergodic Averages for Independent Polynomials and Applications (2004) (35)
Parallelepipeds, nilpotent groups and Gowers norms (2006) (34)
Complexity of nilsystems and systems lacking nilfactors (2012) (31)
Complexity of short rectangles and periodicity (2013) (31)
Counting generic measures for a subshift of linear growth (2015) (26)
Ergodic Methods in Additive Combinatorics (2006) (25)
From combinatorics to ergodic theory and back again (2006) (23)
Nil–Bohr sets of integers (2009) (22)
The automorphism group of a shift of subquadratic growth (2014) (21)
Analysis of two step nilsequences (2007) (21)
Averaging Along Cubes (2004) (19)
Distortion and the automorphism group of a shift (2016) (19)
A generalization of Furstenberg’s Diophantine Theorem (1999) (17)
Iterated Spectra of Numbers—Elementary, Dynamical, and Algebraic Approaches (1996) (17)
An odd Furstenberg-Szemerédi theorem and quasi-affine systems (2002) (16)
Variations on topological recurrence (2014) (13)
A point of view on Gowers uniformity norms (2010) (13)
The spacetime of a shift endomorphism (2016) (10)
Realizing ergodic properties in zero entropy subshifts (2019) (10)
Diophantine classes, dimension and Denjoy maps (2002) (9)
The Stabilized Automorphism Group of a Subshift (2020) (7)
Poincaré recurrence and number theory: thirty years later (2011) (6)
The automorphism group of a shift of slow growth is amenable (2017) (5)
Rudolph’s two step coding theorem and Alpern’s lemma for ℝ^{} actions (2012) (5)
Uniformity seminorms on $\ell^\infty$ and applications (2007) (5)
The conjugating map for commutative groups of circle diffeomorphisms (1996) (4)
Equidistribution of dilated curves on nilmanifolds (2017) (4)
Infinite Sumsets in Sets with Positive Density (2022) (4)
The spacetime of a shift automorphism (2016) (4)
Complexity and directional entropy in two dimensions (2014) (4)
DIOPHANTINE NUMBERS, DIMENSION AND DENJOY MAPS (2002) (3)
Polygonal Z2 ‐subshifts (2019) (3)
Giving a talk (2013) (3)
FOLLOWER, PREDECESSOR, AND EXTENDER SET SEQUENCES OF β-SHIFTS (2019) (2)
UNIFORMITY SEMINORMS ON l(infinity) AND APPLICATIONS (2009) (2)
The complexity threshold for the emergence of Kakutani inequivalence (2020) (2)
A prime system with many self-joinings (2019) (2)
Characteristic measures for language stable subshifts (2021) (2)
Free ergodic $\mathbb{Z}^2$-systems and complexity (2016) (1)
Ergodic Theory, Introduction to (2009) (1)
Systems lacking higher order nilfactors (2012) (1)
Ergodic methods in additive combinatorics Bryna Kra (2006) (0)
The polynomial multidimensional Szemerédi Theorem along shifted primes (2012) (0)
Low complexity Alpern Lemmas for R^d actions (2012) (0)
Commentary on "Ergodic theory of amenable group actions": Old and new (2018) (0)
Boshernitzan’s condition, factor complexity, and an application (2020) (0)
JMM 2019 Lecture Sampler (2019) (0)
A proof of Erd\H{o}s's $B+B+t$ conjecture (2022) (0)
Ergodic methods in additive combinatorics Bryna Kra (2006) (0)
Dynamics of Systems with Low Complexity (2019) (0)
Variations on topological recurrence (2015) (0)
Complexity and directional entropy in two dimensions (2016) (0)
2 BERNARD HOST AND (2012) (0)
Complexity of nilsystems and systems lacking nilfactors (2014) (0)
Harmonic Analysis , Ergodic Theory and Probability a conference in honor of Izzy Katznelson ' s 70 th Birthday (2015) (0)
Flashbacks of a Mathematical Life (2016) (0)

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What Schools Are Affiliated With Bryna Kra?

Bryna Kra is affiliated with the following schools:

Bryna Kra's Academic­Influence.com Rankings