# Vaibhav Pandey

I am a fourth year graduate student studying commutative algebra at the University of Utah. My advisor is Anurag Singh . I like to think about Local cohomology modules and rings of invariants under group actions on polynomial rings. I have used these techniques to determine the cohomological dimension of ideals defining Veronese subrings in arbitrary characteristic. Currently, I am working on applying these techniques to better understand the structure of the classical determinental rings as subrings of polynomial rings.

From 2011-2016, I did my undergrad at the National Institute of Science Education and Research (NISER), Bhubaneswar in India with an Integrated M.Sc (MS equivalent) in Mathematics.

In Fall 2020, I am teaching Math 2200-001 Discrete Mathematics.

## Teaching

- Fall 2018 : Business Algebra (Math 1090)
- Spring 2019 : Business Algebra (Math 1090)
- Spring 2020 : Busines Calculus (Math 1100)
- Summer 2020 : Linear Algebra (Math 2270)
- Fall 2020 : Discrete Mathematics (Math 2200)

### Lab instruction

- Fall 2017 : Differential Equations and Linear Algebra (Math 2250)
- Spring 2018 : Engineering Calculus 2 (Math 1320)

## Service

I organized 'BIKES' - the commutative algebra student seminar at the University of Utah in Fall 2019 and Spring 2020. Here is the link of the current "BIKES" page.
I mentored for the 'Summer High School Mathematics Program' held at the University of Utah in Summer 2019. The aim was to introduce Number Theory to some bright high school kids.
## Invited Talks

"Cohomological dimension of Veronese ideals"; Algebra seminar, Purdue University - March 11, 2020
"Cohomological dimension of Veronese ideals"; AMS Fall Eastern Sectional Meeting (online) - October 3, 2020