Sanjeevi Krishnan

me research teaching
I'm primarily interested in directed algebraic topology, a refinement of clasical algebraic topology for spaces with some structure of time on them.
A convenient category of cubes
S. Krishnan, E. Rudman, submitted 2025
Cubical approximation for directed topology II
S. Krishnan, to appear in Algebraic Geometry and Topology, 2025
The Uniform Homotopy Category
S. Krishnan, C. Ogle, Journal of Pure and Applied Algebra, 2024
Invertibility in category representations
S. Krishnan, C. Ogle, unpublished 2020. under further development.
A Hurewicz model structure for directed topology
S. Krishnan, P. North, Theory and Application of Categories, 2021
Triangulations of conal manifolds
S. Krishnan, unpublished 2019. under further development.
Positive Alexander Duality for Pursuit and Evasion
Flow-cut dualities for sheaves on graphs
S. Krishnan, unpublished 2015. under further development.
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.
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