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Research Groups: Arithmetic & Dynamics

[RG # 137] Arithmetic & Dynamics

Sept. 15, 2013 - February 15, 2014

Organizers:

Peter Sarnak (Princeton University)
Shahar Mozes (The Hebrew University)
Elon Lindenstrauss (The Hebrew University)

Arithmetic has its roots in antiquity, in the attempts of ancient civilizations to understand interger numbers, and in particular integer (and rational) solutions of equations. Dynamics is a younger mathematical discipline, though still with substantial historical roots, one of them being Poincare's attempt to understand celestial mechanics - the motion of planets, and even of the earth-moon-sun trio, where a closed-form solution cannot be written down.

One particular type of question regarding integer and rational points is regarding the distribution of these points e.g. in the space of all solutions by real numbers. When these equations have a large group of symmetries, a strong bond between the arithmetic and a special kind of dynamics (known as homogenous dynamics) ensues.

 

2013-2014 Research Groups 2013-2014

Members

poster

Yves Benoist

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Orsay University
Yves Benoist is a Research Director in CNRS at Orsay University. He was born in 1959, was awarded his PhD at Paris 7 in 1983, and since then has held CNRS positions at Paris 7, at Ecole Normale Superieure, and taught at Ecole Polytechnique.
poster

Manfred Einsiedler

FELLOW
ETH Zürich
Manfred Einsiedler graduated in 1999 from Universität Wien, and after spending 8 years in the US he became a professor of Mathematics at ETH Zürich in 2009. He is working on dynamical and equidistribution problems on homogeneous spaces.
poster

Alex Gamburd

FELLOW
The Graduate Center, CUNY
Alexander Gamburd is a professor in the CUNY Graduate Center’s Department of Mathematics. He specializes in spectral problems in number theory, probability, and combinatorics.
poster

Alex Gorodnik

FELLOW
University of Bristol
Alexander Gorodnik is a Reader in the School of Mathematics at the University of Bristol. His research interests are in the theory of dynamical systems and its connections with other branches of mathematics such as number theory, geometry and representation theory. In collaboration with A.
poster

Elon Lindenstrauss

FELLOW
The Hebrew University of Jerusalem
Elon Lindenstrauss is a professor at the Einstein Institute for Mathematics at The Hebrew University of Jerusalem. His main areas of research are ergodic theory, dynamical systems, and their applications to number theory.
poster

Shahar Mozes

FELLOW
The Hebrew University of Jerusalem
Shahar Mozes is a professor at the Einstein Institute for Mathematics at The Hebrew University of Jerusalem. His research interests include Lie groups, discrete subgroups, geometric group theory and ergodic theory.
poster

Zeev Rudnick

FELLOW
Tel Aviv University
Zeev Rudnick is the Cissie and Aaron Beare Chair in Number Theory at Tel Aviv University. His interests include a range of topics in Number Theory and in Mathematical Physics, in particular Quantum Chaos.
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Peter Sarnak

FELLOW
IAS Princeton
Peter Sarnak is a professor at the School of Mathematics at the Institute for Advanced Study in Princeton. He has made major contributions to number theory and to questions in analysis motivated by number theory.
poster

Uri Shapira

FELLOW
Technion
Uri Shapira is an assistant professor at the Technion - Israel Institute of Technology. He is mainly interested in the interaction between dynamical systems, ergodic theory, and number theory.
poster

Corinna Ulcigari

FELLOW
University of Bristol
Corinna Ulcigrai received her PhD from Princeton University in 2007, under the supervision of Ya. G. Sinai. She is currently a Lecturer and Research Fellow in the School of Mathematics at the University of Bristol. Her research interests include ergodic theory and Teichmueller dynamics.

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