Mon, 09 Mar 2026

15:30 - 16:30
L3

Topology of smooth Gaussian fields

Dr. Michael McAuley
(Technological University Dublin)
Abstract

Gaussian fields arise in a variety of contexts in both pure and applied mathematics. While their geometric properties are well understood, their topological features pose deeper mathematical challenges. In this talk, I will begin by highlighting some motivating examples from different domains. I will then outline the classical theory that describes the geometric behaviour of Gaussian fields, before turning to more recent developments aimed at understanding their topology using the Wiener chaos expansion.

Next week's Fridays@11 session marks the final session for Michaelmas, and focuses on Effective Time Management.  

How can you balance revising with completing problem sheets? What tools and strategies can you use to plan your workload and set priorities? How much work should you be doing during the Christmas break? 

Come along to L1 on Friday at 11am, and bring any questions you have about how to manage your time most effectively. Hoping to see you there! 

Mon, 24 Nov 2025
16:00
C3

Large deviations for the Riemann zeta function on the critical line

Nathan Creighton
(University of Oxford)
Abstract

In this talk, I will give an account of the measure of large values where |ζ(1/2 + it)| > exp(V), with t ∈ [T,2T] and V ∼ αloglogT. This is the range that influences the moments of the Riemann zeta function. I will present previous results on upper bounds by Arguin and Bailey, and new lower bounds in a soon to be completed paper, joint with Louis-Pierre Arguin, and explain why, with current machinery, the lower bound is essentially optimal. Time permitting, I will also discuss adaptations to other families of L-functions, such as the central values of primitive characters with a large common modulus.

Join us on Friday Week 7 (28 November) for some relaxed board games. 

Meet in N4.01 (the Boardroom) at 12 pm for a Taylors sandwich lunch and positive end-of-term vibes - we’ll provide the games. 

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