Allen Yuan

activity

20142023

most citedThe Chromatic Nullstellensatz

6 citations · 24 across the 12 of their papers we have counts for

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math.AT2022

The sphere of semiadditive height 1

Allen Yuan

We construct a lift of the $p$ -complete sphere to the universal height $1$ higher semiadditive stable $\infty$ -category tsade- $1$ of Carmeli--Schlank--Yanovski, providing a counter…

math.AT2022★ 6 cited

The Chromatic Nullstellensatz

Robert Burklund, Tomer M. Schlank, Allen Yuan

We show that Lubin--Tate theories attached to algebraically closed fields are characterized among $T (n)$ -local $E_{\infty}$ -rings as those that satisfy an analogue of Hilb…

math.AT2021★ 3 cited

Higher semiadditive Grothendieck-Witt theory and the $K (1)$ -local sphere

Shachar Carmeli, Allen Yuan

We develop a higher semiadditive version of Grothendieck-Witt theory. We then apply the theory in the case of a finite field to study the higher semiadditive structure of the $K(1)…

math.AT2019

Wilson Spaces, Snaith Constructions, and Elliptic Orientations

Hood Chatham, Jeremy Hahn, Allen Yuan

We construct a canonical family of even periodic $E_{\infty}$ -ring spectra, with exactly one member of the family for every prime $p$ and chromatic height $n$ . At height $…

math.AT2019★ 3 cited

Integral Models for Spaces via the Higher Frobenius

Allen Yuan

We give a fully faithful integral model for spaces in terms of $E_{\infty}$ -ring spectra and the Nikolaus-Scholze Frobenius. The key technical input is the development of…

math.AT2019★ 5 cited

Exotic Multiplications on Periodic Complex Bordism

Jeremy Hahn, Allen Yuan

Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of $B U$ . This presents an $E_{\infty}$ structure on pe…

math.AT2017★ 4 cited

Multiplicative Structure in the Stable Splitting of $Ω S L_{n} (C)$

Jeremy Hahn, Allen Yuan

The space of based loops in $S L_{n} (C)$ , also known as the affine Grassmannian of $S L_{n} (C)$ , admits an $E_{2}$ or fusion product. Work of Mitchell and Richte…

The sphere of semiadditive height 1

The Chromatic Nullstellensatz

Higher semiadditive Grothendieck-Witt theory and the K(1)-local sphere

Wilson Spaces, Snaith Constructions, and Elliptic Orientations

Integral Models for Spaces via the Higher Frobenius

Exotic Multiplications on Periodic Complex Bordism

Multiplicative Structure in the Stable Splitting of ΩSLn​(C)

Higher semiadditive Grothendieck-Witt theory and the $K (1)$ -local sphere

Multiplicative Structure in the Stable Splitting of $Ω S L_{n} (C)$