Research

My research area is at the intersection of Algebraic Topology, Algebraic Geometry, and  Homological Algebra and Category Theory. In particular, I am interested with higher dimensional algebraic structures such as n-categories and n-stacks. More detailed description of my research can be found in my research statement.

Publication:

• Length 3 Complexes of Abelian Sheaves and Picard 2-Stacks, Adv.Math 2010 doi:10.1016/j.aim.2010.06.012, arXiv:0906.2393 .

Talks and Presentations:

• Tensor Product of Picard Stacks, AMS National Meeting, San Francisco, CA, January 2010.  (contributed talk session on Algebraic Geometry).(slides)

• Higher Categories, Higher Stacks, and Abelian Sheaves, F.R.A.GME.N.T. Seminar, Colorado State University, December 2009.

• Abelian Sheaf Complexes and Picard 2-Stacks, AMS Western Section Meeting, University of California, Riverside, November 2009 (special session on Homotopy Theory and Higher Algebraic Structures). (slides)

• Abelian Sheaves and Picard Stacks, Algebra Seminar, Florida Atlantic University, October 2009 (invited).

• Poster Presentation at the Homological and geometric methods in algebra conference, Trondheim, Norway, August 2009 (poster)

Thesis:

On Picard 2-Stacks and Length 3 Complexes of Abelian Sheaves