6 citations · 23 across the 21 of their papers we have counts for
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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}…
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…
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…
Topological Hochschild homology, truncated Brown-Peterson spectra, and a topological Sen operator
Sanath K Devalapurkar
In this article, we study the topological Hochschild homology of -forms of truncated Brown-Peterson spectra, taken relative to certain Thom spectra (introduc…
Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic
Sanath K. Devalapurkar
The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper -schemes with as soon as its category of quasicoherent…
Examples of disk algebras
Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2
We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum , its truncated variants , Ravenel's spectra , and even…
Higher chromatic Thom spectra via unstable homotopy theory
Sanath K Devalapurkar
We investigate implications of an old conjecture in unstable homotopy theory related to the Cohen-Moore-Neisendorfer theorem and a conjecture about the -topological…
Hodge theory for elliptic curves and the Hopf element
Sanath K. Devalapurkar
We show that the vector bundle on the moduli stack of elliptic curves associated to the -cell complex is isomorphic to the de Rham cohomology sheaf $\mathr…
On the James and Hilton-Milnor Splittings, & the metastable EHP sequence
Sanath K. Devalapurkar, Peter J. Haine
This note provides modern proofs of some classical results in algebraic topology, such as the James Splitting, the Hilton-Milnor Splitting, and the metastable EHP sequence. We prov…
The Ando-Hopkins-Rezk orientation is surjective
Sanath K. Devalapurkar
We show that the map induced by the Ando-Hopkins-Rezk orientation is surjective. This proves an unpublished claim of Hopkins and Ma…
The Lubin-Tate stack and Gross-Hopkins duality
Sanath K. Devalapurkar
Morava -theory is an -ring with an action of the Morava stabilizer group . We study the derived stack . Descent-theoretic techniques all…
Roots of unity in -local rings
Sanath K. Devalapurkar
The goal of this paper is to address the following question: if is an -ring for some and is a map of commutative rings, when can…