Homepage of Snigdhayan Mahanta

Visiting Assistant Professor

My cerebral activities:

There is a reasonable framework of topology where spaces are replaced by certain types of categories (triangulated, DG, simplicial and so on). This passage is not entirely smooth and reversible but in favourable conditions it is. I am interested in reinterpreting some known results and investigating some open questions in topology by recasting them in this framework. Eventually, the hope is to incorporate finer structures of geometry as well. I got sidetracked a little and, nowadays, I am thinking about Galois extensions over F1 and S1.

Professional Itinerary:

• Noncommutative Geometry and Applications to Number Theory, Ohio State University, April 2010.

• Institute for Geometry and its Applications, University of Adelaide, July 2010.