Welcome to e-Home of Debasis Sen
Debasis Sen.
Associate Professor,
Department of Mathematics and Statistics,
Indian Institute of Technology, Kanpur,
India.
Contact Information
Office Address
FB501, Department of Mathematics and Statistics, IIT Kanpur,
Kanpur 208016, India.
Office Phone: +91-512-2596401
Email: debasis@iitk.ac.in, sen.deba@gmail.com
Courses Taught:
Spring 24 MTH 114 (ODE)
Fall 23: MTH 434 M
Spring 23: MTH 722 Homotopy Theory
Fall 22: MSO 202 Complex Variables (module)
Fall 21: MTH101 Real Analysis
Spring 21: MTH 759 Algebraic Topology II
Fall 20: MTH 675 Geometry of differential forms
Spring 20: MTH 722 Homotopy Theory
Fall 19: MTH 434 Compex Analysis (for Stat)
Spring 19: MTH 102 Linear algebra and ODE (ODE: Class notes)
Fall 18: MTH 305: Several Variable Calculus and Differential Geometry of curves and surface
Spring 18: MTH 304 Topology
Fall 17: MTH101 Real analysis
Summer 17: MTH 403 Complex Analysis
Spring 17: MTH 101 (R) Real analysis
Fall 16: MTH 305 Several Variable Calculus and Differential Geometry of curves and surface
Spring 16: MTH 403 Complex Analysis
Fall 15: MTH 659 Algebraic Topology I
Spring 15: MTH 659 Algebraic Topology II
Fall 14: MTH 403 Complex Analysis
Research Interest
Homotopy Theory,
Group actions,
Higher category theory,
Model category,
Topological Complexity,
Persistent Homology.
Work Experience
Associate Professor at IIT Kanpur, from December 2020.
Assistant Professor at IIT Kanpur, December 2013 - November 2020.
Assistant Professor at National Institute of Science Education and Research, Bhubaneswar, India, June - November 2013.
Postdoctoral fellow at University of Haifa, Israel, December 2011 to May 2013 (with David Blanc).
Visiting scientist at Indian Statistical Institute, Kolkata, September 2011 to November 2011.
Visiting postdoctoral fellow at University of Calgary, Canada, May 2011 to August 2011 (with Peter Zvengrowski).
Research Publications
(with Goutam Mukherjee) Equivariant simplicial cohomology with local coefficients and its classification, Topology and its Applications, 2010, Vol 157, pages 1015-1032.
Equivariant twisted Cartan cohomology theory, Journal of Homotopy and Its Related Structures, Vol 5(1) (2010), pages 157-169.
(with Goutam Mukherjee) On a theorem of Eilenberg in simplicial Bredon-Illman cohomology with local coefficients, International Journal of Modern Mathematics, Vol 5, No 3(2010), pages 339-359.
(with Goutam Mukherjee) Steenrod reduced power operations in simplicial Bredon-Illman cohomology with local coefficients, Homology Homotopy and Applications, Vol 13(1), 2011, pages 273- 296.
(with David Blanc) A spectral sequence in Bredon Cohomology, Journal of Homotopy and Its Related Structures, Vol 8(2) (2013), pages 279-305.
(with David Blanc) Rectifying homotopy group actions, Bulletin of the Belgian Mathematical Society, Vol 21(2014), no 4, pages 685-710.
(with Samik Basu) Representing Bredon cohomology with local coefficients by crossed complexes and parametrized spectra, Journal of Pure and Applied Algebra, Volume 219 ( 2015), Issue 9, Pages 3992-4015.
(with Peter Zvengrowski, Kristine Bauer) A Generalized Goursat Lemma, Tatra Mt. Math. Publ. 64 ( 2015 ) Page 1-19.
(with Swagata Sarkar & Goutam Mukherjee) Finite group actions on Kan complexes, Journal of Indian Mathematical Society, Volume 83 No. 1-2 Page: 145-160, 2016.
(with David Blanc) Higher Cohomology operations and R-completions, Algebraic and Geometric Topology, Volume 18, Number 1 (2018), 247-312.
(with David Blanc) Mapping spaces and R-completion, Journal of Homotopy and Related Structures, 2018 (3) 635 - 671.
(with Amit Paul ) An upper bound for higher topological complexity and higher strongly equivariant complexity, Topology and Applications, 2020.
(with David Blanc and Samik Basu) Note on Toda brackets, Journal of Homotopy and Related Structures, 2020.
(with David Blanc and Samik Basu) Higher structures in the unstable Adams spectral sequence, Homology Homotopy and Applications, 2021.
(with Gopal Chandra Dutta and Ajay sing Thakur) Equivariant self-homotopy equivalences of product spaces, Topology and Applications, 2022.
(with David Blanc and Samik Basu) The higher structure of unstable homotopy groups, IMRN 2023.
(with Amit Paul) Simplicial and combinatorial versions of higher symmetric topological complexity, Topology and Applications, 2023.
(with Gopal Chandra Dutta) Monoids related to self homotopy equivalences of fibered product, Topology and Applications, 2023.
Thesis: Simplicial Bredon-Illman cohomology with local coefficients.