Research Interests                                                                                                                     

Algebraic groups, Representation theory                                                                                                    

Publications/Preprints

My papers and preprints can be found on the arxiv.

8. Matrix Waring Problem-II, (with Anupam Singh), to appear in Israel Journal of Mathematics.

  Kishore, K., Singh, A. Matrix Waring Problem. II. Isr. J. Math. 267, 301–320 (2025). https://doi.org/10.1007/s11856-024-2704-z 

7. Waring Problem for matrices over finite fields (with Adrian Vasiu, Sailun Zhan), Journal of Pure and Applied Algebra, Volume 228, Issue 7, July 2024.

6. Matrix Waring Problem, Linear algebra and its applications, Volume 646, August 2022, Pages 84--94.

5. Torsion elements of order p^2 in the Nottingham group,  (with Chun Yin Hui), Journal of Group Theory, Volume 23, Issue 3, Pages 489–502.

4.  Inner cohomology of GL_n, Journal of Number Theory, Volume 209,  April 2020, Pages 267-288.

3. Torsion elements in the Nottingham group of order p^2 and type <2,m>, Journal of the Ramanujan Mathematical Society, Volume 34, Number 2, Year 2019, Pages 231-243.

2. Representation variety of surface groups, Proceedings of the American Mathematical Society, Volume 146, Number 3, March 2018, Pages 953–959.

1. Representation variety of Fuchsian groups in SO(p,q), Geometriae Dedicata, Volume 184,  Number 1, Year 2016,  Pages 193- 209.