activity
20152025
most citedA Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

6 citations · 23 across the 21 of their papers we have counts for

collaborators

21 papers

math.AT2025

THH(Z) and the image of J

Sanath K. Devalapurkar, Arpon Raksit

Let be an odd prime number and the -complete connective image of J spectrum. We establish an equivalence of cyclotomic -rings $\mathrm{THH}…

math.AT2024★ 3 cited

The Smith Fiber Sequence and Invertible Field Theories

Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3

Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…

math.RT2024

Derived geometric Satake for

Sanath K. Devalapurkar

In this note, we study the local relative geometric Langlands conjecture of Ben-Zvi--Sakellaridis--Venkatesh for the spherical subgroup of the triple…

math.AT2024

ku-theoretic spectral decompositions for spheres and projective spaces

Sanath K. Devalapurkar

Ben-Zvi--Sakellaridis--Venkatesh described a conjectural extension of the geometric Satake equivalence to spherical varieties, whose spectral decomposition is described by Hamilton…

hep-th2023★ 6 cited

A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3

We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at t…

math.KT2023

-typical curves on -adic Tate twists and de Rham-Witt forms

Sanath K. Devalapurkar, Shubhodip Mondal

We show that de Rham--Witt forms are naturally isomorphic to -typical curves on -adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier w…