Sanjeevi Krishnan

me research teaching
sanjeevi@math.osu.edu
Math Tower 754
231 West 18th Avenue
Columbus OH, 43210-1174
(614) 292-8434
I assist professors in math at OSU. This semester, I'm co-organizing the Reading Semigroup along with Ranthony Edmonds and John Johnson.
     
I'm primarily interested in directed algebraic topology, a refinement of clasical algebraic topology for spaces with some structure of time on them.
cubcat.clj(s) open source library for directed algebraic topology
S. Krishnan, created 2019.
cubcat.app online worksheets for directed algebraic topology
S. Krishnan, created 2019.
demo: model-checking with directed algebraic topology
S. Krishnan, created 2019.
demo: second homotopy groups as derived group completions
S. Krishnan, created 2019.
demo: directed (co)homology semigroups of simplicial sets
S. Krishnan, created 2019.
demo: gaps in dynamic sensor networks as cohomology cones
S. Krishnan, created 2019.
demo: detecting inverse structures in category representations
S. Krishnan, created 2019.
Singularity Theorems as Poincare Dualities
S. Krishnan, submitted 2016
Directed Poincare Duality
S. Krishnan, submitted 2016
The 2nd homotopy group as left derived group completion
S. Krishnan, P. North, submitted 2016
A Dold-Kan Theorem for Inverse Semigroups
S. Krishnan, E. Rudman, submitted 2016
Directed (co)homology
S. Krishnan, submitted 2016
A Quillen equivalence between cubical spaces and streams
S. Krishnan, submitted 2016
Inverse structures in category representations
S. Krishnan, C. Ogle, submitted 2016
Cubical approximation for directed topology II
S. Krishnan, submitted 2016
A Hurewicz model structure for directed topology
S. Krishnan, P. North, submitted 2019
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    app    code