Noah Riggenbach
Noah Riggenbach
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I am a Postdoctoral Scholar at Northwestern University.
I completed my PhD at Indiana University Bloomington in 2021 under the supervision of Michael Mandell. My research is in algebraic topology and arithmetic geometry, specifically in algebraic K-theory and trace methods.
Office: Lunt B11
Office: Lunt B11
Preprints
Preprints
Viktor Burghardt, Noah Riggenbach, Lucy Yang, Involutive Brauer groups and Poincare rings, arXiv:2509.25737 [math.AG]
Benjamin Antieau and Noah Riggenbach, Cyclotomic synthetic spectra, 2024, arXiv:2411.19929 [math.KT] (Submitted)
Elden Elmanto and Noah Riggenbach, On the K-theory of the p-adic unit disk, 2024, arXiv: 2410.07101 [math.KT] (Submitted)
Published Papers
Published Papers
Noah Riggenbach, K-Theory of Truncated Polynomials, Math. Z. 310 (2025), no.~3, Paper No. 59, 46 pp. arXiv: 2211.11110 [math.KT]
Micah Darrell and Noah Riggenbach, TR of quasiregular semiperfect rings is even, Selecta Math. (N.S.) 31 (2025), no.~3, Paper No. 63, 23 pp.. arXiv: 2308.13008 [math.KT]
Noah Riggenbach, K-Theory of Cuspidal Curves Over a Perfectoid Base and Formal Analogues, Adv. Math. 433 (2023), Paper No. 109289, 40 pp.. arXiv: 2203.17136 [math.KT]
Noah Riggenbach, On The Algebraic K-Theory of Double Points, In Algebraic & Geometric Topology 22-1 (2022), 373--403. DOI 10.2140/agt.2022.22.373
Noah Riggenbach, The S1 Assembly Map on K-Theory and Topological Cyclic Homology. Thesis (Ph.D.)–Indiana University. ProQuest LLC, Ann Arbor, MI, 2021, p. 81. isbn: 979-8538-13023-8. A revised version is in Ann. K-Theory 10 (2025), no.~3, 447--471.
Draft
Draft
The following is a draft of a paper written with Elden Elmanto. This draft has a complete proof of our results on Nil K-theory propagation which we have announced. The final version will include results addressing the question of Bass.
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