Vaibhav Pandey

I am a third year grad student studying commutative algebra at the University of Utah. My advisor is Anurag Singh . I like to think about Local cohomology 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.

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 will be teaching Math 2200-001 Discrete Mathematics.

Publications

  • "Cohomological dimension of ideals defining Veronese subrings" (submitted).
  • "A Dedekind Domain with Nontrivial Class Group"; with Sagar Shrivastava and B.Sury . The American Mathematical Monthly. Volume 125, Issue 4 (2018), pp. 356-359.
  • "On the prime ideals of C[0,1]"; Reasonance May (2016), pp. 439-446. (I published this as an undergrad in NISER, Bhubaneswar.)
  • Teaching

    1. Fall 2017 : Differential Equations and Linear Algebra (Math 2250) [Lab instructor]
    2. Spring 2018 : Engineering Calculus 2 [Lab instructor]
    3. Fall 2018 : Business Algebra (Math 1090)
    4. Spring 2019 : Business Algebra (Math 1090)
    5. Spring 2020 : Busines Calculus (Math 1100)
    6. Summer 2020 : Linear Algebra (Math 2270)
    7. Fall 2020 : Discrete Mathematics (Math 2200)

    Service

  • I organized BIKES - the commutative algebra student seminar in Fall 2019 and Spring 2020. Here is the link of the current BIKES page : "BIKES"
  • I was a mentor 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.