# 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; chromatic homotopy theory; and higher category theory. I am also frequently interested in how these interact with arithmetic geometry, especially the subjects of crystalline cohomology and $$p$$-divisible groups.

## Teaching

### Fall 2019

Math 0090 Introductory Calculus I

## Publications

1. Sulyma, Y. J. F. $$\infty$$-categorical monadicity and descent. New York Journal of Mathematics 23 (2017), 749–777. arxiv version.

## In preparation

1. Stable module categories as categorified Tate cohomology (joint with Aaron Royer)
2. $$RO(\mathbb T)$$-graded topological Hochschild homology of perfectoid rings
3. The regular slice filtration on topological Hochschild homology

## Visualizations / Tools

I make videos about math at La mer qui monte. Here are some additional interactives I have created.