My research area is at the intersection of Algebraic Topology, Algebraic Geometry, andHomological 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.
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).
On Picard 2-Stacks and Length 3 Complexes of Abelian Sheaves