Randomness in Number Theory

  • Speaker
  • Peter Sarnak sitting by a windowPeter Sarnak, Ph.D.Eugene Higgins Professor of Mathematics, Princeton University
Date


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In this Presidential Lecture, Peter Sarnak will highlight the apparent dichotomy between structure and randomness in number theory through a series of examples. He will show how models for randomness can be both unexpected and revealing and why identifying and establishing random features is often the central challenge in the field.

About the Speaker

Peter Sarnak sitting by a window

Sarnak is the Eugene Higgins Professor of Mathematics at Princeton University and the Gopal Prasad Professor of Mathematics at the Institute for Advanced Study. A leading figure in analytic number theory, his work explores deep connections between number theory, randomness and mathematical physics. Sarnak has played a central role in advancing the study of L-functions, arithmetical quantum chaos and random matrix theory. He is a member of the National Academy of Sciences and a recipient of numerous honors, including the Wolf Prize in Mathematics, the Sylvester Medal of the Royal Society and the 2024 Shaw Prize in Mathematical Sciences.

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