I am primarily interested in the problems of Algebra and Combinatorics. My current research focuses on studying word maps on groups, polynomial maps on Lie algebras, the combinatorics of weighted graphs, and the description of products of conjugacy classes in finite groups.

Publications/Preprints:

1. Harish Kishnani, and Amit Kulshrestha, Defects in weighted graphs and commutators, Journal of Algebra, 684 (2025), 213–233

2. Dilpreet Kaur, Harish Kishnani, and Amit Kulshrestha, Word images and their impostors in finite nilpotent groups, International Journal of Algebra and Computation, 35 (2025), no. 4, 567-585.

3. Harish Kishnani, and Amit Kulshrestha, Automorphic word maps and the Amit--Ashurst conjecture, Journal of Group Theory, 27 (2024), no. 5, 1007-1023 .

4. Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Alternating groups as products of cycle classes-II, Journal of Algebraic Combinatorics 59, 635-660(2024).

5. Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Products of conjugacy classes in SL_2(K) and PSL_2(K), Communications in Algebra 52 (2023), no. 4, 1501-1517.

6. Harish Kishnani, Rijubrata Kundu, and Sumit Chandra Mishra, Alternating groups as products of cycle classes,

Discrete Mathematics 346 (2023), no. 7, 113470.

7. Harish Kishnani, and Amit Kulshrestha, R-weighted graphs and commutators, arXiv:2505.05618 (2025).

8. Harish Kishnani, and Anupam Singh, Images of Lie polynomials on simple Lie algebras, arXiv:2605.19512 (2026).

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