activity
20202025
most citedOn The Algebraic -Theory of Double Points

3 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.AG2025

Involutive Brauer groups and Poincaré rings

Viktor Burghardt, Noah Riggenbach, Lucy Yang

We use the formalism of Poincaré -categories, as developed by Calmès-Dotto-Harpaz-Hebestreit-Land-Moi-Nardin-Nikolaus-Steimle, to define and study moduli stacks of line b…

math.KT2024

Cyclotomic synthetic spectra

Benjamin Antieau, Noah Riggenbach

We define an -category of -typical cyclotomic synthetic spectra and prove that the motivic filtration on , defined by Bha…

math.KT2024

On the -theory of the -adic unit disk

Elden Elmanto, Noah Riggenbach

In this note, we study the -complete topological cyclic homology of the affine line relative to a ring which is smooth over a perfectoid ring . Denoting by $NTC(A; \mathb…

math.KT2023

of quasiregular semiperfect rings is even

Micah Darrell, Noah Riggenbach

We show that for all and all quasiregular semiperfect.

math.KT2022★ 1 cited

-Theory of Truncated Polynomials

Noah Riggenbach

We study the algebraic -theory of rings of the form . We do this via trace methods and filtrations on topological Hochschild homology and related theories by quasisynt…

math.KT2022★ 1 cited

-Theory of Cuspidal Curves Over a Perfectoid Base And Formal Analogues

Noah Riggenbach

In this paper we continue the work of using the recent advances in algebraic -theory to extend computations done in characteristic to the mixed characteristic setting using…

math.KT2020★ 3 cited

On The Algebraic -Theory of Double Points

Noah Riggenbach

In this paper, we use trace methods to study the algebraic -theory of rings of the form . We compute the relative -adic groups for…