Sanjeevi Krishnan

me research teaching
sanjeevi@math.osu.edu
Math Tower 754
231 West 18th Avenue
Columbus OH, 43210-1174
(614) 292-8434
I do math at OSU.
I'm primarily interested in directed algebraic topology, a refinement of clasical algebraic topology for spaces with some structure of time on them.
Cubical approximation for directed topology II
S. Krishnan, submitted 2023
The Uniform Homotopy Category
S. Krishnan, C. Ogle, Journal of Pure and Applied Algebra, 2024
Invertibility in category representations
S. Krishnan, C. Ogle, submitted 2020
A Hurewicz model structure for directed topology
S. Krishnan, P. North, Theory and Application of Categories, 2021
Triangulations of conal manifolds
S. Krishnan, submitted 2019
Positive Alexander Duality for Pursuit and Evasion
Flow-cut dualities for sheaves on graphs
S. Krishnan, under revision
A Topological Max-Flow Min-Cut Theorem
R. Ghrist, S. Krishnan, Proceedings of Global Signal Inference, 2013.
Cubical approximation for directed topology I
S. Krishnan, Applied Categorical Structures, 2013, vol. 23, no 2, p. 177-214.
A free object in quantum information theory
J. Feng, K. Martin, S. Krishnan, Electronic Notes in Theoretical Computer Science, 2010.
Future path-components in directed topology
E. Goubault, E. Haucourt, S. Krishnan, Electronic Notes in Theoretical Computer Science, 2010, vol. 265, p. 325-335.
Covering space theory for directed topology
E. Goubault, E. Haucourt, S. Krishnan, Theory and Application of Categories, 2009, vol. 22, no 9, p. 252-268.
Criteria for homotopic maps to be so along monotone homotopies
S. Krishnan, GETCO 2004-2006 Proc., Electr. Notes Theor. Comput. Sci., (2009), vol. 230, pp. 141-148.
A convenient category of locally preordered spaces
S. Krishnan, Applied Categorical Structures, 2009, vol. 17, no 5, p. 445-466.
intro    article   
I am currently teaching online Linear Algebra (OSU Math 2255).   For students, the course page can be found on Carmen.