It's the Week 2 Student Bulletin! 

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To celebrate International Women in Mathematics Day (May 12), Mathematrix is hosting a pizza lunch where we will watch ‘Journeys of Women in Mathematics’,  a powerful 20-minute film by the International Mathematical Union showcasing the experiences of women mathematicians worldwide. The film follows three mathematicians from India, Cameroon, and Brazil from their home institutions to the (WM)² international meeting, showing their research and what it’s like to be part of the global maths community.

The Knowledge Exchange Hub for the Mathematical Sciences has commissioned the award winning Active Bystander Training Company to deliver a focused, practical session designed to empower our community to challenge unacceptable behaviours — including those that may have become normalised over time.

Wednesday 20 May, 10:00 am - 11:30 am. Online and free

Science in the Age of Algorithms: Rethinking Discovery in the AI Era

Participants:

  • Sendhil Mullainathan, Peter de Florez Professor of Economics & Computer Science, MIT (and Sanjaya Lall Visiting Professor, Oxford)
  • Sir Nigel Shadbolt, Principal of Jesus College and Professor of Computer Science, Oxford
  • Dr Raia Hadsell, VP of Research, Google DeepMind
  • Chair: Professor Johannes Abeler, Professor & Head of Economics Department, Oxford

5 pm, 19 May, Andrew Wiles Building

Tue, 02 Jun 2026
14:45

Bernoulli flow and optimal delocalisation for Erdös-Rényi graphs

Joscha Henheik
Abstract

We present a new dynamical way of establishing local laws for sparse random matrices, the Bernoulli flow method. It is based on a Markovian jump process, where the entries of the matrix jump independently from 0 to 1 at rate one. As an application, we show optimal (up to a constant) isotropic delocalisation for bulk eigenvectors of Erdös-Rényi graphs with edge probability p \geq (log N)^2/N. In the same regime, we obtain a local law with optimal (up to a constant) error bounds. Joint work with Antti Knowles.

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