# Yuri Sulyma

Office 313 Kassar House firstname_lastnamebrown.edu Department of Mathematics Box 1917 Brown University 151 Thayer Street Providence, RI 02912

I am a Tamarkin Assistant Professor of Mathematics at Brown University. I received my PhD from the University of Texas at Austin under the supervision of Andrew Blumberg.

I am interested in algebraic K-theory, particularly trace methods; equivariant stable homotopy theory; higher category theory; and Goodwillie calculus. I am also frequently interested in how these interact with arithmetic geometry, particularly crystalline/prismatic cohomology.

I have compiled a reading list for $$p$$-adic cohomology and its connections with THH.

## Teaching

### Spring 2022

MATH 0540 Honors Linear Algebra

### Fall 2021

MATH 0180 Intermediate Calculus

### Spring 2021

Math 2420 Algebraic Topology

### Fall 2020

Math 2410 Algebraic Topology

### Spring 2020

Math 520 Linear Algebra
Math 1410 Topology

### Fall 2019

Math 0090 Introductory Calculus I

## Publications / Preprints

1. Floor, ceiling, slopes, and $$K$$-theory. Preprint, 2021.
2. A slice refinement of Bökstedt periodicity. Preprint, 2020.
3. $$\infty$$-categorical monadicity and descent. New York Journal of Mathematics 23 (2017), 749–777. arxiv version.

## In preparation

Drafts available by request.
1. $$RO(\mathbb T)$$-graded $$\mathrm{TF}$$ of perfectoid rings
2. Stable module categories as categorified Tate cohomology (joint with Aaron Royer)

## Talks / Slides

• A slice refinement of Bökstedt periodicity Video Slides

## Visualizations / Tools

I make videos about math at Epiplexis. Here are some additional math interactives I have created.

I am also the developer of Liqvid, a library for making interactive videos on the web.