Research

Preprints

• Kato complexes of reciprocity sheaves and applications.
  Joint with Sandeep S.
  Preprint (February 2024)
  [arXiv:2403.01735]
  
  

Publications

• Cellular 𝔸¹-homology and the motivic version of Matsumoto's theorem,
  Advances in Mathematics, 434 (2023), Paper No. 109346, 110 pp.
  Joint with Fabien Morel.
  Preprint [arXiv:2007.14770]
  
  
• Geometric criteria for 𝔸¹-connectedness and applications to norm varieties,
  Journal of Algebraic Geometry, 32 (2023), no. 4, 677-696.
  Joint with Chetan Balwe and Amit Hogadi.
  Published version
  Preprint [arxiv:2102.05344]
  
  
• Strong 𝔸¹-invariance of 𝔸¹-connected components of reductive algebraic groups,
  Journal of Topology, 16 (2023), no. 2, 634-649.
  Joint with Chetan Balwe and Amit Hogadi.
  Published version
  Preprint [arXiv:2205.07527]
  
  
• Naive 𝔸¹-homotopies on ruled surfaces,
  International Mathematics Research Notices, Vol. 2022, No. 22, 17745-17765.
  Joint with Chetan Balwe.
  Published version
  Preprint [arXiv:2002.08761]
  
  
• Remarks on iterations of the 𝔸¹-chain connected components construction,
  Annals of K-Theory, 7 (2022), no. 2, 385-394.
  Joint with Chetan Balwe and Bandna Rani.
  Published version
  Preprint [arxiv:2106.08663]
  
  
• 𝔸¹-connected components of ruled surfaces,
  Geometry and Topology, 26 (2022), 321-376.
  Joint with Chetan Balwe.
  Published version
  Preprint [arXiv:1911.05549]
  
  
• Naive vs. genuine 𝔸¹-connectedness,
  K-Theory - Proceedings of the International Colloquium, Mumbai, 2016, 21-33, Hindustan Book Agency, New Delhi, 2018.
  Preprint [arxiv:1703.05935]
  
  
• Rost nilpotence and étale motivic cohomology,
  Advances in Mathematics, 330(2018), 420-432.
  Joint with Andreas Rosenschon.
  Published version
  Preprint (December 2015; Last updated: March 2018) [arXiv:1706:06386]
  
  
• 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, 11816-11827.
  Joint with Chetan Balwe.
  Published version
  Preprint [arXiv:1408.6627]
  
  
• 𝔸¹-connected components of schemes,
  Advances in Mathematics, 282(2015), 335-361.
  Joint with Chetan Balwe and Amit Hogadi.
  Published version
  Preprint [arXiv:1312.6388]
  
  

Articles in preparation

• Cellular 𝔸¹-homology and cellular Suslin homology of arbitrary smooth schemes, joint with Fabien Morel.
  
  
• Cellular 𝔸¹-homology of classifying spaces and generalized flag varieties, joint with Fabien Morel.