Mon, 02 Mar 2026
16:00
C5

Vanishing sums of matrix products

Noah Kravitz
((Mathematical Institute University of Oxford))
Abstract

Any two 1 by 1 real matrices commute.  This is in general not the case for 2 by 2 real matrices.  However, if A, B, C, and D are any 2 by 2 real matrices, then ABCD - ABDC - ACBD + ACDB + ADBC - ADCB - BACD + BADC + BCAD - BCDA - BDAC + BDCA + CABD - CADB - CBAD + CBDA + CDAB - CDBA - DABC + DACB + DBAC - DBCA - DCAB + DCBA = 0.  This identity is the first instance of a general result of Amitsur and Levitski; I will explain a simple graph-theoretic proof due to Swan.

Fri, 27 Feb 2026
04:00
Lecture Theatre 1, Mathematical Institute, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG

North South Colloquium

William Hart and Giovanni Italiano
Abstract

 

Fully funded 4-year PhD position in Theoretical Physics

The University of Galway invite applications for a fully funded 4-year PhD position in Theoretical High-Energy Physics, funded by the Research Ireland Pathway grant “Integrability in Non-Lorentzian Holography” led by Andrea Fontanella, starting in September 2026. 

The main focus of the PhD project is to further develop the recently discovered non-relativistic and Carrollian holography, to construct integrability techniques for non-Lorentzian theories, and to explore applications of non-Lorentzian holography to flat space holography.

Domain Specific Augmentations as Low Cost Teachers for Large Students
 Huang, P Proceedings of the first Workshop on Information Extraction from Scientific Publications 84-90 (2022)
Mon, 15 Jun 2026

16:30 - 17:30
L2

TBA

Prof. Jinchao Xu
(King Abdullah University of Science and Technology (KAUST))
Abstract

TBA

This is a joint OxPDE and Numerical Analysis seminar. 

Quantum algorithm for large-scale market equilibrium computation
 Huang, P Rebentrost, P Advances in Neural Information Processing Systems volume 37 (01 Jan 2024)
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