Proving the Binomial Theorem in Britain, 1750-1830
Wardhaugh, B Hollings, C British Journal for the History of Mathematics
Wed, 11 Feb 2026

16:00 - 17:00
L6

The Prime Decomposition Theorem for 3-Manifolds

Ojas Mittal
((Mathematical Institute University of Oxford))
Abstract

A 3-manifold is a space which locally looks like R^3. A major theme in 3-manifold Topology is to understand and classify 3-manifolds. Given two compact 3-manifolds M_1,M_2 we can form another 3-manifold by taking what’s called the “connect sum” of M_1 and M_2. Under this operation, 3-manifolds can be decomposed uniquely into prime pieces just like the integers can be decomposed uniquely as a product of primes. We will discuss this prime decomposition theorem for 3-manifolds while also giving a wide variety of examples.

The Self-Duality Equations on a Riemann Surface and Four-Dimensional Chern-Simons Theory
Bittleston, R Mason, L Moosavian, S (08 Jan 2026)
Early individualized risk prediction using clinical data for children during the febrile phase of dengue in outpatient settings in Vietnam and Thailand.
Sangkaew, S Daniels, B Ming, D Hernandez, B Herrero, P Suntarattiwong, P Kalayanarooj, S Srikiatkhachorn, A Rothman, A Buddhari, D Vuong, N Lam, P Nguyen, M Wills, B Simmons, C Donnelly, C Yacoub, S Holmes, A Dorigatti, I PLOS digital health volume 5 issue 2 e0001171 (09 Feb 2026)
Time-integrated Southern-sky Neutrino Source Searches with 10 yr of IceCube Starting-track Events at Energies Down to 1 TeV
Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X Balagopal V., A Baricevic, M Barwick, S Bash, S Basu, V Bay, R Beatty, J Becker Tjus, J Beise, J The Astrophysical Journal volume 998 issue 1 (03 Feb 2026)
Randomized subspace derivative-free optimization with quadratic models and second-order convergence
Cartis, C Roberts, L Optimization Methods and Software volume ahead-of-print issue ahead-of-print 1-28 (26 Jan 2026)

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