Mathematical Sciences Institute
Australian National University
Hanna Neumann Building
61 2 6125 4628
anand.deopurkar@anu.edu.au
CV html pdf
I am an algebraic geometer with broader interests in algebra, representation theory, and number theory. Being an algebraic geometer means that I study algebraic varieties—spaces of solutions of algebraic equations. I am interested in classical algebraic geometry, enumerative geometry, deformation theory, algebraic stacks, derived categories, among other things.
A common theme in much of my work is to understand varieties by studying the collection of all related varieties at once, using the remarkable feature that such a collection itself forms an algebraic variety (or something close to it), called a “moduli space”. I have worked on moduli spaces of algebraic curves, surfaces, maps, vector bundles, and stability conditions.

I am organising a reading seminar on derived categories of coherent sheaves. Details TBA.

With Asilata Bapat and Tony Licata, I am thinking about various aspects of stability conditions on some triangulated categories. We finished a draft of a proposed construction of a compactification of this space with full details for the A_{2} and A_{1}hat cases. The preprint is now on the arXiv.

We give constructive proofs of some results about the stability space and spherical objects in the ADEquiver categories. Some of the statements may be known to the experts. Here is a draft.

Anand Patel, Eduard Duryev, and I finished a paper about some fascinating variational and enumerative questions arising from a simple construction related to linear projections. Answers to some of these enumerative questions fit the sequence A001181 on OEIS, but we are stumped as to why!

Want to see the courses at the maths department and their prerequisites? Look at this graph!