Research Interests I am interested in commutative algebra and algebraic geometry and their interplay with combinatorics, representation theory, geometric group theory and invariant theory.
  1. Interpolation problems: double points in weighted projective spaces and points with higher multiplicities in the projective plane.
  2. Ideal containment problem for ordinary and symbolic powers and related conjectures such as the stable Harbourne conjecture.
  3. Lefschetz properties of certain algebras associated to geometric constructions such the Böröcky configuration.
In Preparation List of preprints/papers
  1. Interpolation in Weighted projective spaces.
  2. An Isomorphism Theorem for Arithmetic Complexes (With Luca Fiorindo, Ethan Reed, and Hongmiao Yu) submitted.
  3. Axial Constants and Sectional Regularity of Homogeneous Ideals (With M. DeBellevue, A. Lebovitz, Y.Li, M. Lotfi, S. Mohite, X. Pan, M.S. Pathak, A. Seceleanu,S.X Zhang), Proceedings of American Mathematical Society
  4. Subgroups of Groups of Units Modulo n , Mathematics Magazine. (This article is based on my Master's Thesis can also be found on my website Here.
Upcoming travel/talks (* denotes an invited talk.) Select Past talks/Workshops Other Research Interests

I like to think about the relationships between  mathematics and humanities, and how social categories (gender, race, ethnicity etc) interact with mathematics within the wider communities (for example, professional credibility).  Here is a link to a talk I gave on this topic. I hold a graduate minor in Liberal Studies from University of Minnesota Duluth. As part of this degree, I investigated the portrayal of mathematicians in 21st century movies. The work is still unpublished but I have been using the following extra credit assignment to collect data points. It relates to a documentray I made. For more info see service section. Please feel free to use this assignment for your class. It'd be greatly appreciated if you could please send the responses in a single file to me at sroshanzamir2@huskers.unl.edu.