Amit Kulshrestha
Amit Kulshrestha
Research Page
Research Page
My research interests include central simple algebras, quadratic forms, linear algebraic groups, word maps on groups.
R-weighted graphs and commutators,preprint, 2025, 29 pages (with Harish Kishnani).
Defects in weighted graphs and commutators, Journal of Algebra, 684, 213-233, 2025 (with Harish Kishnani).
Word images and their impostors in finite nilpotent groups, International Journal of Algebra and Computation, 35 (4), 567-585, 2025 (with Dilpreet Kaur and Harish Kishnani).
Chirality and non-real elements in G2(q), European Journal of Mathematics, 11 (6), 2025 (with Sushil Bhunia and Anupam Singh).
Automorphic word maps and Amit--Ashurst conjecture, Journal of Group Theory, 27 (5),1007-1023, 2024ย (with Harish Kishnani).
Representation dimensions of some finite groups, preprint, 2023, 16 pages (with Gurleen Kaur and Anupam Singh).
Finite splittings of differential matrix algebras, Journal of Algebra, 634, 74-96, 2023 (with Kanika Singla).
Asymptotics of the powers in finite reductive group,ย Journal of Group Theory, 25 (6), 1149-1172, 2022 (with Anupam Singh and Rijubrata Kundu)
Quaternion Algebras with Derivations, Journal of Pure and Applied Algebra, 226 (2), 2022 (with Varadharaj R. Srinivasan)
Computing ๐-th roots in ๐๐2 and Fibonacci polynomials, Proc. Math Sci. 130, 31, 2020 (with Anupam Singh)
On Shalev's conjecture for type A_n and ^2A_n , Journal of Group Theory, 22 (4), 713-728, 2019 (with Alexey Galt, Anupam Singh and Evgeny Vdovin)
Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals, Journal of Algebra and Its Applications, 18 (1), 1950010, 2019 (with Dilpreet Kaur)
Characters of real special 2-groups, Journal of the Ramanujan Mathematical Society 30 (4), 375-396, 2015 (with Dilpreet Kaur)
Strongly real special 2-groups, Communications in Algebra 43 (3), 1176-1193, 2015 (with Dilpreet Kaur)
Real Elements and Schur Indices of a Group, Math Student, 73-84, 2011, arXiv:1104.3933 (with Anupam Singh)
Strongly anisotropic involutions on central simple algebras, Communications in Algebra, 39 (5), 1686-1704, 2011
๐ -equivalence in adjoint classical groups over fields of virtual cohomological dimension 2, Transactions of the American Mathematical Society 360 (3), 1193-1221, 2008 (with R. Parimala)
Ramification sequences of central simple algebras, preprint, 2007 (with Melanie Raczek)