Research

Submitted:

  1. K-Orbit Closures and Hessenber Varieties, https://arxiv.org/abs/2309.05770

Published:

  1. DIII clan combinatorics for the orthogonal Grassmannian, Australasian Journal of Combinatorics, Volume 79(1) (2021), Pages 55–-86
  2. Sects and lattice paths over the Lagrangian Grassmannian, The Electronic Journal of Combinatorics, Volume 27, Issue 1, Paper No. 1.51, 28 (2020), \https://doi.org/10.37236/8664, 2020.
  3. The genesis of involutions (polarizations and lattice paths), Discrete Mathematics, Volume 342, Issue 1, January 2019, Pages 201-216.\https://doi.org/10.1016/j.disc.2018.09.026
  4. Counting Borel Orbits in Symmetric Varieties of Types $BI$ and CII, Arnold Mathematical Journal, DOI:10.1007/s40598-018-0092-3, 2018.

Notes:

  1. Notes on Action of the Product of the Symmetric Groups, click here!
  2. Some Results on Dimension of K-orbits in G/B, click here for details.
  3. Restricted Root System, (notes will be posted later!)
  4. My master’s thesis can be found here, The Geometry of Toric Variety.