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Spatial continuity of neurons explains non-random network architecture
 Reimann, M Egas Santander, D Kanari, L Barros-Zulaica, N iScience volume 29 issue 6 116144-116144 (01 Jun 2026)

Award for Milena Vuletic

Our recent CDT alumna Milena Vuletic has been awarded  the 6th PLEXUS Award for AI in the Financial Sector for her DPhil thesis on Multi-asset financial markets: mathematical modelling and data-driven approaches.

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Interest Rate Models in Decentralised Lending Protocols
 COHEN, S SANCHEZ BETANCOURT, L Szpruch, L Digital Finance
Fri, 19 Jun 2026
13:00
L4

Simplicial Novikov Homology

Vidit Nanda
Abstract

I will describe a circle-valued Morse theory for simplicial complexes. The central objects of study are partial matchings which admit certain zigzag cycles; these cyclic matchings lift canonically to acyclic matchings on the infinite cyclic cover of the underlying simplicial complex. From the lifted acyclic matchings, we obtain a finitely generated Morse chain complex defined over the Novikov ring, which consists of power series in one variable with finite negative support. We then establish a quasi-isomorphism between this Morse-Novikov complex and the simplicial chain complex of the cyclic cover, duly completed over the Novikov ring. As a pleasant consequence, we can define new computable invariants to detect (obstructions to) the fiberedness of tame knots.

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