I am a fifth year PhD student at UT. My advisor is Andrew Blumberg. I can be contacted at [username, see URL]@math.utexas.edu.

## Seminars

In Fall 2017, I organized Arithmetic Geometry, Homotopy, And String Theory (AGHAST).

## Research

I am interested in algebraic $$K$$-theory, particularly trace methods; equivariant stable homotopy theory; chromatic homotopy theory; and higher category theory. I am frequently interested in how these interact with arithmetic geometry, especially the subjects of $$p$$-divisible groups and crystalline cohomology.

Please enjoy the following animation of Waldhausen's $$S_\bullet$$ construction (move your cursor over the entries in the diagram on the left). (If you started on a different tab, you may need to refresh the page for this to work.)

## Publications and Preprints

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

## Notes

Witt vectors and topological cyclic homology slides from a talk at YTM 2018