Nonlinear independent component analysis for discrete-time and continuous-time signals
Schell, A
Oberhauser, H
(04 Feb 2021)
Fri, 20 Jan 2023
16:00 -
17:00
L1
Prime numbers: Techniques, results and questions
James Maynard
(Oxford University )
Abstract
The basic question in prime number theory is to try to understand the number of primes in some interesting set of integers. Unfortunately many of the most basic and natural examples are famous open problems which are over 100 years old!
We aim to give an accessible survey of (a selection of) the main results and techniques in prime number theory. In particular we highlight progress on some of these famous problems, as well as a selection of our favourite problems for future progress.
Acceleration of Descent-based Optimization Algorithms via Carathéodory’s Theorem
Cosentino, F
OBERHAUSER, H
Abate, A
(25 Nov 2020)
Tue, 28 Feb 2023
14:00
14:00
L6
A Lusztig-Shoji algorithm for quivers and affine Hecke algebras
Jonas Antor
(University of Oxford)
Abstract
Perverse sheaves are an indispensable tool in representation theory. Their stalks often encode important representation theoretic information such as composition multiplicities or canonical bases. For the nilpotent cone, there is an algorithm that computes these stalks, known as the Lusztig-Shoji algorithm. In this talk, we discuss how this algorithm can be modified to compute stalks of perverse sheaves on more general varieties. As an application, we obtain a new algorithm for computing canonical bases in certain quantum groups as well as composition multiplicities for standard modules of the affine Hecke algebra of $\mathrm{GL}_n$.
Signature Methods in Machine Learning
Lyons, T
McLeod, A
(15 Nov 2022)
The Mathematical Institute, University of Oxford, is seeking to appoint a Departmental Lecturer to join its thriving Logic group. The appointment is full time, and available for a fixed period of three years, starting from 1st September 2023 or as soon as possible thereafter.
Capturing graphs with hypo-elliptic diffusions
Toth, C
Lee, D
Hacker, C
Oberhauser, H
Advances in Neural Information Processing Systems 35 (NeurIPS 2022)
volume 50
38803-38817
(01 Apr 2023)
Oxford Mathematics is delighted to be hosting one of the largest exhibitions by the artist Conrad Shawcross in the UK. The exhibition, Cascading Principles: Expansions within Geometry, Philosophy, and Interference, brings together 40 sculptures realised by the artist over the last seventeen years. The artworks are placed in public and private areas, forming a web of relationships which emerge as the viewer moves through the building.
Congratulations to Helen who has won one of the MPLS Outstanding Supervisor Awards for 2022. This award "recognises that Helen has promoted and implemented an inclusive and welcoming environment in her research group, and her actions have created a place where researchers thrive and are able to achieve their ambitions with all the positive repercussions this generates."