Dinakar Muthiah

Dinakar Muthiah

I am Project Researcher (postdoc) in Mathematics at the The Kavli Institute for the Physics and Mathematics of the Universe.

Kavli Institute for the Physics and Mathematics of the Universe (WPI)
The University of Tokyo Institutes for Advanced Study
The University of Tokyo
5-1-5 Kashiwanoha
Kashiwa, Chiba 277-8583, Japan

You may reach me at dinakar.muthiah [at] ipmu [dot] jp

Dinakar Muthiah

Research Interests

Representation theory and algebraic geometry.


  1. D. Muthiah and D. Orr, "On the double-affine Bruhat order: the $\varepsilon=1$ conjecture and classification of covers in ADE type." [arXiv:1609.03653] (To appear in Algebr. Comb. )
  2. D. Muthiah and P. Tingley, "Affine PBW Bases and Affine MV polytopes." Selecta Math. (N.S.) (2018). https://doi.org/10.1007/s00029-018-0436-9 [arXiv:1609.0661]
  3. J. Kamnitzer, D. Muthiah, A. Weekes, and O. Yacobi, "Reducedness of affine Grassmannian slices in type A." Proc. Amer. Math. Soc. 146 (2018), no. 2, 861-874. [arXiv:1611.06775]
  4. J. Kamnitzer, D. Muthiah, and A. Weekes, "On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian." Transform. Groups 23 (2018), no. 3, 707-722. [arXiv:1604.00053]
  5. D. Muthiah, "On Iwahori-Hecke Algebras for $p$-adic Loop Groups: Double Coset Basis and Bruhat Order." Amer. J. Math. 140 (2018), no. 1, 221-244. [arXiv:1502.00525]
  6. D. Muthiah, D. Orr, "Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties." Representations of Lie algebras, quantum groups and related topics, 187--203, Contemp. Math., 713 (2018). [arXiv:1707.03366]
  7. K.-H. Lee, C. Lenart, and D. Liu, with appendix by D. Muthiah and A. Puskás, "Whittaker functions and Demazure characters." J. Inst. Math. Jussieu. 1-23. doi:10.1017/S1474748017000214 [arXiv:1602.06451]
  8. D. Muthiah and P. Tingley, "Affine PBW Bases and MV Polytopes in Rank 2." Selecta Math. (N.S.) 20 (2014), no. 1, 237--260. [arXiv:1209.2205]
  9. D. Muthiah, "Double MV cycles and the Naito-Sagaki-Saito crystal." Adv. Math. 240 (2013), 268 - 290. [arXiv:1108.5404]


  1. D. Muthiah, "Weyl group action on weight zero Mirković-Vilonen basis and equivariant multiplicities." [Link]
  2. D. Muthiah, A. Puskás, and I. Whitehead, "Correction factors for Kac-Moody groups and t-deformed root multiplicities." [arXiv:1806.05209] (Submitted)
  3. D. Muthiah, A. Weekes, and O. Yacobi, "The equations defining affine Grassmannians in type A and a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman." [arXiv:1708.06076] (Submitted)