A nested MLMC framework for efficient simulations on FPGAs
Nimerenco, I
Giles, M
Monte Carlo Methods and Applications
(28 Mar 2025)
A double bill of big hitters for this annual lecture from the Department of Computer Science.
Leo De Moura (Amazon Web Services)- Formalizing the Future: Lean’s Impact on Mathematics, Programming, and AI
Kevin Buzzard (Imperial College) - Will Computers prove theorems?
14:30, Lecture Theatre 1, Mathematical Institute
We're looking for mentors and projects for online research projects with Africa. This scheme matches mentors with Master’s-level students in sub-Saharan Africa who are not currently enrolled in a PhD programme; through a combination of research experience and skills training, the scheme aims to empower students to make competitive graduate applications in Africa and elsewhere.
Ultra-fast physics-based modeling of the elephant trunk
Kaczmarski, B
Moulton, D
Goriely, Z
Goriely, A
Kuhl, E
Journal of the Mechanics and Physics of Solids
106102-106102
(01 Mar 2025)
Tanniemola Liverpool's recent Public Lecture is now online.
The next Public Lecture on 30 April will feature Gábor Domokos, the 'father' of the Gömböc.
The shortlist for the Vice-Chancellor’s Awards 2025 saw 160 award entries across the 11 categories this year, including 1,300 individuals.
More information in the link below but to save you hacking through the often baffling list, just to let you know that our own Joshua Bull is nominated in the Breakthrough Researcher Award category. This recognises researchers at the early stages of their careers who have made a significant impact at the University.
Cohen-Macaulay complexes, duality groups, and the dualizing module of Out(F_N)
Wade, R
Wasserman, T
International Mathematics Research Notices
volume 2025
issue 6
(24 Mar 2025)
Wed, 12 Mar 2025
11:15
11:15
L5
Positive geometries and canonical forms via mixed Hodge theory
Francis Brown
( Oxford)
Abstract
''Positive geometries'' are a class of semi-algebraic domains which admit a unique ''canonical form'': a logarithmic form whose residues match the boundary structure of the domain. The study of such geometries is motivated by recent progress in particle physics, where the corresponding canonical forms are interpreted as the integrands of scattering amplitudes. We recast these concepts in the language of mixed Hodge theory, and identify ''genus zero pairs'' of complex algebraic varieties as a natural and general framework for the study of positive geometries and their canonical forms. In this framework, we prove some basic properties of canonical forms which have previously been proved or conjectured in the literature. We give many examples and study in detail the case of arrangements of hyperplanes and convex polytopes.
Fri, 14 Mar 2025
15:30
15:30
N3.12
Chiral worldsheet model for pure N=4 Super Yang-Mills
Sean Seet
(University of Edinburgh)
Abstract
It is a remarkable fact (first observed by Witten in 2004) that holomorphic curves in twistor space underpin scattering amplitude calculations in N=4 Super Yang-Mills, spurring decades of work on twistor actions. The explicit realisation of this fact from a twistor string calculation, however, is somewhat marred by the presence of non-Yang-Mills (N=4 conformal supergravity) intermediates present even in tree level calculations. This pathology first appears as the presence of multi-trace terms even at tree level, indicating the exchange of non Yang-Mills intermediates.
In this talk we present a new chiral worldsheet model (2504.xxxx) that is free from non-Yang-Mills intermediates and computes N=4 super Yang-Mills amplitudes at tree and loop level (with some caveats). The main contribution is the removal of the non-Yang-Mills intermediates and a simple prescription for computing higher genus correlators.