Department Mathematik
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Research

I work in algebraic geometry. I am particularly interested in motivic homotopy theory and motivic cohomology, and their application to questions in algebraic geometry. My research interests also include algebraic cycles, K-theory and commutative algebra.

Publications

  • Rost nilpotence and étale motivic cohomology,
    Advances in Mathematics, 330(2018), p. 420 - 432.
    Joint with Andreas Rosenschon.
    Preprint (December 2015; Last updated: March 2018) [arXiv:1706:06386]
  • Naive vs. genuine 𝔸1-connectedness,
    accepted for publication in the Proceedings of International Colloquium on K-theory 2016, Tata Institute of Fundamental Research.
    Preprint [arxiv:1703.05935]

  • 𝔸1-connectedness in reductive algebraic groups,
    Transactions of the American Mathematical Society, 369 (2017), no. 8, 5999 - 6015.
    Joint with Chetan Balwe.
    Published version
    Preprint [arXiv:1605.04535]

  • R-equivalence and 𝔸1-connectedness in anisotropic groups,
    International Mathematics Research Notices, Vol. 2015, No. 22, p. 11816 - 11827.
    Joint with Chetan Balwe.
    Published version
    Preprint [arXiv:1408.6627]

  • 𝔸1-connected components of schemes,
    Advances in Mathematics, 282(2015), p. 335 - 361.
    Joint with Chetan Balwe and Amit Hogadi.
    Published version
    Preprint [arXiv:1312.6388]

Articles in preparation

  • On the 𝔸1-fundamental group of a reductive algebraic group, joint with Fabien Morel.

  • 𝔸1-connected components of ruled surfaces, joint with Chetan Balwe.

Ph.D. Thesis

  • 𝔸1-connected components of schemes
    Tata Institute of Fundamental Research, Mumbai, India.
    Submitted: September 2014; Defended: December 2014.