Research Interests

• Vector bundles

• Algebraic K-theory

• Hermitian K-theory

• Motivic homotopy theory

• Motivic cohomology

• Spin groups

• Affine algebraic geometry

Publications

• A generalized Vaserstein symbol, Annals of K-Theory 4 (2019), no. 4, 671-706  [arXiv]

• The cancellation of projective modules of rank 2 with a trivial determinant, Algebra & Number Theory 15 (2021), no. 1, 109-140  [arXiv]

• Cancellation of vector bundles of rank 3 with trivial Chern classes on smooth affine fourfolds, Journal of Pure and Applied Algebra (2022), Volume 226, Issue 9, 107038  [arXiv]

• Symplectic orbits of unimodular rows, Journal of Algebra (2024), Volume 646, 478-493  [arXiv]

Preprints

• Motivic cohomology of cyclic coverings (Submitted) [arXiv]

• Some remarks on Spin-orbits of unit vectors (Submitted) [arXiv]

• A note on Suslin matrices and Clifford algebras (Submitted) [arXiv]

• A symplectic version of Suslin's n!-theorem (Submitted) [arXiv]