About me

  • Assistant Professor in Mathematics, IISER Bhopal, India
  • PhD in Mathematics, Johns Hopkins University, Baltimore, USA, 2010

Research Interests

  • algebraic topology, stable homotopy theory
  • higher category theory
  • topological data analysis

Publications/Preprints/ Working projects

  • Mixed Tate motives over the sphere spectrum, (2017)
  • Hypercoverings of point cloud data, (2017)
  • Tannakization of quasi-categories and monadic descent, (preprint submitted) [arXiv] (2017)
  • Galois descent for real spectra , J. Homotopy Relat. Struct., Springer (2017) Volume 12:273-297, [journal link]
  • A modular description of ER(2), New York J. Math., Volume 20 (2014), p. 743-758, [journal link]
  • On the ER(2)-cohomology of some odd-dimensional projective spaces, Topology Appl., Elsevier (2013), Volume 160, Issue 12, p. 1395-1405., [journal link]
  • Notes on Topological Automorphic Forms, Newton Stratification and Real Johnson-Wilson theories, [pdf], (2013)
  • Categories of modules and their deformations, [arXiv], ( 2012)

Teaching

  • Fall 2018: MTH 305: Elementary Number Theory
  • Spring 2018: MTH406: Differential Geometry of Curves and Surfaces
  • Fall 2017: Topology1, MTH605
  • Fall 2017 - Spring 2018: BS-MS Project: Hopf Invariant One problem
  • Spring 2017: MTH302: Rings and Modules
  • Fall 2016: MTH507/605:Algebraic topology/ Topology
  • Spring 2016: MTH411: Lie Groups and Lie Algebras
  • Fall 2015: MTH101: Calculus of One Variable
  • Spring 2015: MTH507: Introduction to Algebraic Topology
  • Winter 2014: Galois theory of Cyclotomic fields: Introduction to Class Field Theory
  • Fall 2014: MTH311: Advanced Linear Algebra