Anubhav Nanavaty

activity

20212025

collaborators

5 papers

math.AT2025

Dehn-Sydler-Jessen Via Homological Algebra

Anubhav Nanavaty

We provide an expository introduction to Euclidean Scissors Congruence, the study of polytopes in Euclidean space up to `cut and paste' relations. We first re-frame questions in sc…

math.HO2024

Ludwig Bieberbach's "Remarks on Hilbert's Thirteenth Problem" and Addendum

Anubhav Nanavaty

This is an English translation of Ludwig Bieberbach's paper ``Remarks on Hilbert's Thirteenth Problem" originally written in German and originally published in Journal für die Rein…

math.AG2024

Motivic Splittings For Symmetric Matrices

Anubhav Nanavaty

We show that the space of symmetric matrices of a fixed rank $k$ over a field $K$ of characteristic not equal to $2$ is split Tate. We do this by promoting the point-counting strat…

math.AG2024

Weight Filtrations and Derived Motivic Measures

Anubhav Nanavaty

Let $k$ be a field admitting resolution of singularities. We lift a number of motivic measures such as the Gillet--Soulé measure and the compactly supported $A^{1}$ -Euler ch…

math.AG2021

The standard realizations for the K-theory of varieties

Oliver Braunling, Michael Groechenig, Anubhav Nanavaty

The Grothendieck ring of varieties has well-known realization maps to, say, mixed Hodge structures or compactly supported $ℓ$ -adic cohomology. Zakharevich and\ Campbell have dev…