Andrew Senger

activity

20242026

collaborators

5 papers

math.KT2026

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic $K$ -theory

Jeremy Hahn, Ishan Levy, Andrew Senger

We prove for $n \geq c - 1$ that the functor taking an animated ring $R$ to its mod $(p^{c}, v_{1}^{p^{n}})$ syntomic cohomology factors through the functor $R \mapsto R / p^{c (n + 2)}$ , a pheno…

math.GT2025

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Andrew Senger, Adela YiYu Zhang

In this paper, we compute the inertia groups of $(n - 1)$ -connected, smooth, closed, oriented $2 n$ -manifolds where $n \geq 3$ . As a consequence, we complete the diffeomorphism classi…

math.AT2025

Splitting the Madsen-Tillmann Spectra $M T I^¸_{n}$

Jonathan Sejr Pedersen, Andrew Senger

We prove that the Madsen-Tillmann spectrum $M T I^¸_{n}$ splits into the sum of spectra $I^£^{- 2 n} M O ⟨ n + 1 ⟩ \oplus I^£^{\infty - 2 n} R P_{2 n}^{\infty}$ after Postnikov tru…

math.AT2025

Examples of disk algebras

Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $B P$ , its truncated variants $B P ⟨ n ⟩$ , Ravenel's spectra $X (n)$ , and even…

math.KT2024

Exact bounds for even vanishing of $K_{*} (Z / p^{n})$

Achim Krause, Andrew Senger

In this note, we prove that $K_{2 i} (Z / p^{n}) \neq = 0$ if and only if $p - 1$ divides $i$ and $0 \leq i \leq (p - 1) p^{n - 2}$ , refining the even vanishing theorem of Antieau, Nik…

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic K-theory

Inertia groups of (n−1)-connected 2n-manifolds

Splitting the Madsen-Tillmann Spectra MTI^¸n​

Examples of disk algebras

Exact bounds for even vanishing of K∗​(Z/pn)

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic $K$ -theory

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Splitting the Madsen-Tillmann Spectra $M T I^¸_{n}$

Exact bounds for even vanishing of $K_{*} (Z / p^{n})$