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 Summer 2021, I am teaching Applied Statistics 1 (Math 3070).
I have taught the following courses as an instructor of record -
- 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)
- Summer 2021 : Applied Statistics 1 (Math 3070)
- Fall 2017 : Differential Equations and Linear Algebra (Math 2250)
- Spring 2018 : Engineering Calculus 2 (Math 1320)
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.
"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