# Publications and Preprints

The TestIdeals package for Macaulay2. Preprint, 2018.

Symbolic and Ordinary Powers of Ideals in Hibi Rings. Preprint, 2018.

The Uniform Symbolic Topology Property for Diagonally F-Regular Varieties. Preprint, 2018.

A New Subadditivity Formula of Test Ideals. Preprint, 2018.

# Invited Talks

University of Wisconsin Algebra and Algebraic Geometry Seminar
Jan 25, 2019
UIC Commutative Algebra Seminar
Oct 22, 2018
Studying Symbolic Powers with Test Ideals
Oct 20, 2018

# Service

### REU project: classifying diagonally $F$-regular Cartier algebras

Marcus Robinson and myself mentored a University of Utah undergraduate, Dylan Johnson, in an REU project. We investigated which toric varieties are diagonally $F$-regular. A pdf of our project proposal can be found below.

### Studying Singularities via Reduction Modulo $p$

I presented a poster during the SACNAS event in Salt Lake City in 2017. This poster was meant for motivated high school students to read and get an idea for what it means to do research in mathematics.

### Birational Classification of Algebraic Varieties

This is 15 minute talk I gave to a general audience. I was trying to answer the question: “What do mathematicians do?”

# Contact

• smolkin@math.utah.edu
• JWB (John Widstoe Building) Room 307
155 South 1400 East
Salt Lake City, UT 84112