Tags: Cantrell Lectures

Recent work on the zeroes of the Riemann zeta functionI will discuss my recent work with James Maynard estimating the number of zeroes of the zeta function in different regions.

The Riemann zeta function and the Riemann hypothesisIn Talk 1, we learned about some strange patterns in the prime numbers.  In this talk, we try to explain where these strange patterns come from.  This leads us to the Riemann zeta function.  We also introduce an important open question called the Riemann hypothesis, and discuss how it relates to prime numbers and why it is hard to prove.

Lecture 1 Monday, March 10, in 148 Miller Learning Center Prime numbers: probability, physics, and computation Abstract: This talk is about how prime numbers are distributed.  As we look at bigger numbers, primes slowly get rarer.  We can measure this precisely by counting how many primes there are in different intervals.  There is a simple formula, discovered around 1800, that gives a pretty good approximation for the number of…

The 2024 edition of our Cantrell Lecture Series will take place Tu-Wed-Th March 12-14th 2024 The speaker is: Melanie Matchett WoodWilliam Caspar Graustein Professor of MathematicsHarvard University Tuesday March 12 Title: Central Limit Theorems for matrices and modular arithmetic Abstract: The Central Limit Theorem is an example of the ubiquitous, yet still surprising, phenomenon in probability that many independent random inputs often…

2023 Cantrell Lecture Speaker is Dr. Chi-Wang Shu from Brown University Dr.  Chi-Wang Shu is the Theodore B. Stowell University Professor of Applied Mathematics at Brown University. He is known for his research in the fields of computational fluid dynamics, numerical solutions of conservation laws and Hamilton–Jacobi type equations. Shu has been listed as an ISI Highly Cited Author in Mathematics by the…

The 2022 Cantrell Lecture Speaker will be Professor Akshay Venkatesh.  Dr. Venkatesh is a professor at the Institute for Advanced Study in Princeton.Among many other honors, in 2018, he was awarded the Fields Medal for his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory. The citation describes him as having "made profound contributions to an exceptionally broad range of subjects…

Our Cantrell Lectures scheduled for the week of April 15 have been postponed. We hope to reschedule them for next academic year.   The 2020 Cantrell Lectures will be given by Professor Weinan E of Princeton University. Professor Weinan E is a distinguished applied mathematician noted for his work on a wide range of topics.  He has received numerous awards, most recently the 2019 Peter Henrici Prize from SIAM. …

The 2019 Cantrell Lecture Speaker will be Professor Geordie Williamson of the University of Sydney.  Professor Williamson is one of the world's foremost experts in geometric representation theory.   His counterexamples to the Lusztig conjecture have led to new and exciting research in the area of modular representation theory, in which he is one of the leaders.  Another of his major accomplishments involves joint work with…

Speaker: Kannan Soundararajan (Stanford) Monday, April 9, 2018 3:30pm-4:30pm Miller Learning Center, Room 101 Title of talk: Primes fall for the gambler's fallacy.   Abstract:   The gambler’s fallacy is the erroneous belief that if (for example) a coin comes up heads often, then in the next toss it is more likely to be tails.  In recent work with Robert Lemke Oliver, we found that funnily the primes exhibit a kind of…

Speaker: Peter Ozsváth, Princeton University   Monday, February 20, 2017 3:30pm, Miller Learning Center, Room 101 Title of talk: An introduction to Heegaard Floer homology "Knot theory" is the study of closed, embedded curves in three-dimensional space.  Classically, knots can be studied via a various computable polynomial invariants, such as the Alexander polynomial. In this first talk, I will recall the basics of knot…