Allen Yuan Contact Information Address: School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton NJ 08540 Email: [email protected] Webpage: allenyuan.me Research Algebraic topology, homotopy theory, and interactions with algebraic K-theory and arithmetic geometry. Education & Employment Member 2023 - Present

ALLEN YUAN 1. Introduction In the rst lecture of our tutorial, the knot group of the trefoil was remarked to be the braid group B 3. There are, in general, many more connections between knot theory and braid groups. Furthermore, the study of these braid groups is also both important to mathematics and applicable to physics.

2022年8月26日 · View a PDF of the paper titled The sphere of semiadditive height 1, by Allen Yuan View PDF Abstract: We construct a lift of the $p$-complete sphere to the universal …

2019年10月2日 · View a PDF of the paper titled Integral Models for Spaces via the Higher Frobenius, by Allen Yuan View PDF Abstract: We give a fully faithful integral model for spaces in terms of $\mathbb{E}_{\infty}$-ring spectra and the Nikolaus-Scholze Frobenius.

ALLEN YUAN Abstract. We give a simple argument to detect chromatic redshift in the algebraic K-theory of E∞-ring spectra and give two applications: we show for n≥1 that K(En), the algebraic K-theory of any height n Lubin-Tate theory, has nontrivial T(n+ 1)-localization, and that

Let us illustrate the difficulty in producing such an integral model: Sullivan showedthatanysufficientlynicespace canberecoveredfromitsrationalization

Allen Yuan (Columbia University) „Examples of chromatic redshift and related phenomena“ Abstract: One form of the Ausoni -Rognes chromatic redshift philosophy is that algebraic K -theory raises the chromatic complexity of a ring by one. Work of Clausen-Mathew-Naumann-Noel shows,

Allen Yuan. Office: Lunt B18. I am an assistant professor at Northwestern University. Previously, I was a member at the IAS (’23-’24) and a postdoc at Columbia University (’20-23). I did my PhD at MIT, advised by Jacob Lurie, and my undergraduate work at Harvard.

2021年11月21日 · View a PDF of the paper titled Examples of chromatic redshift in algebraic $K$-theory, by Allen Yuan

Allen Yuan Columbia University Algebraically closed fields in higher algebra Abstract: Spectra are among the most fundamental objects in algebraic topology and appear naturally in the study of generalized cohomology theories, algebraic K-groups and cobordism invariants. I will first explain