Sharp error bounds for approximate eigenvalues and singular values from subspace methods
 Nakatsukasa, Y SIAM Journal on Matrix Analysis and Applications
TopROI: A topology-informed network approach for tissue partitioning
 Iváñez, S Moore, J Grzesiak, L Mullholand, E Harrington, H Leedham, S Byrne, H (14 Oct 2025)
A new 5-D highly hyperchaotic system with a line equilibrium, its bifurcation analysis, multistability and electronic circuit simulation
 Vaidyanathan, S Hannachi, F Moroz, I Mohamed, M Sambas, A Aruna, C Raju, A Archives of Control Sciences 561-585 (30 Sep 2025)
On complex network techniques for atmospheric flow analysis: a polar vortex case study
 Reboredo Prado, M Lambiotte, R Moroz, I Osprey, S Journal of Physics: Complexity (18 Nov 2025)
Privacy-preserving local language models accurately identify the presence and timing of self-harm in electronic mental health records (Preprint)
 Kormilitzin, A Joyce, D Tsiachristas, A Borschmann, R Kapur, N Geulayov, G
Optimal experimental design for parameter estimation in the presence of observation noise
 Qi, J Baker, R Mathematical Biosciences (27 Nov 2025)
Wed, 26 Nov 2025
13:00
Quillen Room N3.12

From 3D Chern-Simons Theory to Knot Invariants

Yuhan Gai
Abstract

Witten’s seminal 1988 work revealed the connection between 3-dimensional Chern-Simons theory and knot invariants. In this talk, I will provide a physically motivated overview and explain how skein relations manifest from a path-integral/partition-function perspective on 3-manifolds with Wilson lines inserted. There will also be some fun topological brain-twisters for the audience. If time permits, I will comment on recent developments involving factorization homology and its relation to correlators for logarithmic CFTs.

Junior Strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome.

Wed, 21 Jan 2026
14:30
L3

Conductor formulas and bad Euler factors for some families of CY-threefolds

Nutsa Gegelia
(Johannes Gutenberg University Mainz)
Abstract
We study the arithmetic of one-parameter families of Calabi–Yau threefolds with Hodge numbers h^{1,2}=h^{2,1}=1, focusing on their L-functions, in particular on the computation of bad Euler factors and the conductor. Good Euler factors can be computed using p-adic deformation methods applied to the Picard–Fuchs operators of the families. We analyse how bad Euler factors and the conductor arise from the geometry of the singular fibers, and verify this analysis by numerically checking the functional equation in examples. Special attention is given to confluence primes, where singularities collide modulo p, leading to subtle local behaviour.
Joint work in progress with Candelas, de la Ossa, van Straten.
Diophantine problems of avoiding unlikely intersections
 Ballini, F Pila, J
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