The ** DYNAMICAL SYSTEMS PRIZE FOR YOUNG MATHEMATICIANS** was established by Anatole Katok in the Fall of 2015 to recognize outstanding contributions to dynamical systems made by researchers within a few years of their PhD. The first (2016) edition of the prize was funded by Anatole Katok. Starting with the 2018 edition, the prize Is funded by an endowment of Michael Brin, and Is now called **MICHAEL BRIN** **DYNAMICAL SYSTEMS PRIZE FOR YOUNG MATHEMATICIANS.**

The prize is awarded for specific contributions to the field of dynamical systems, taken in broad sense. Work not yet accepted for publication in refereed journals can be considered for the award. However, complete proofs must be available as preprints and in this case committee member(s) should be able to certify their correctness. The prize carries a cash award of $ 4,000.

The prize is awarded bi-annually every even year (starting on 2016) and its winner is announced at the Penn State Fall Semi-annual workshop in dynamical systems. The eligibility for the prize is limited to researchers within 4 years after the Ph.D. at the beginning of the prize calendar year.

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MICHAEL BRIN DYNAMICAL SYSTEMS PRIZE FOR YOUNG MATHEMATICIANS WINNERS

**The 2020 Michael Brin Dynamical Systems Prize for Young Mathematicians has been awarded to**

**JOEL MOREIRA for his out standing work on ergodic Ramsey theory and his joint proof of the Erdős sumset conjecture.**

**THE PRIZE COMMITTEE **included the following members:

Artur Avila, CNRS, University of Zurich and IMPA

Lewis Bowen, University of Texas, Austin

Giovanni Forni, Committee Chair, University of Maryland, College Park

Sébastien Gouëzel, University of Rennes, France

Michael Hochman, Hebrew University of Jerusalem

Yakov Pesin, ex officio, Director of Anatole Katok Center for Dynamical Systems and Geometry, Penn State University

Federico Rodriguez Hertz, Penn State University

Omri Sarig, The Weizmann Institute of Science

**The 2018 Michael Brin Dynamical Systems Prize for Young Mathematicians has been awarded to**

**ALEX WRIGHT for his fundamental work on the Teichmüller geometry and dynamics of the moduli space of Riemann surfaces, especially on classification of SL(2,R)-invariant orbifolds, and the discovery of unexpected examples,**

**and to**

**BRANDON SEWARD for his groundbreaking work on entropy theory for actions of countable groups, extending to this general setting fundamental results of the classical theory such as Sinai's Factor Theorem and Krieger's Finite Generators Theorem.**

**THE PRIZE COMMITTEE** included the following members:

- Artur Avila, CNRS, Institut de Mathematiques de Jussieu - Paris Rive Gauche, and IMPA
- Lewis Bowen, University of Texas, Austin
- Giovanni Forni, Committee Chair, University of Maryland, College Park
- Michael Hochman, Hebrew University of jerusalem
- Yakov Pesin, ex officio, Director of Anatole Katok Center for Dynamical Systems and Geometry, Penn State University
- Federico Rodriguez Hertz, Penn State University
- Omri Sarig, The Weizmann Institute of Science

**SIMION FILIP for outstanding work in Teichmüller dynamics and geometry.**

**THE PRIZE COMMITTEE** included the following members:

- Artur Avila, CNRS, Institut de Mathematiques de Jussieu - Paris Rive Gauche, and IMPA
- Giovanni Forni, Committee Chair, University of Maryland, College Park
- Federico Rodriguez Hertz, Penn State University
- Omri Sarig, The Weizmann Institute of Science