Research Interests
Representation theory and algebraic geometry.
Papers

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)

D. Muthiah, D. Orr, "Walk algebras, distinguished subexpressions, and point counting in KacMoody flag varieties." [arXiv:1707.03366] (Submitted)

J. Kamnitzer, D. Muthiah, A. Weekes, and O. Yacobi, "Reducedness of affine Grassmannian slices in type A." [arXiv:1611.06775] (To appear in Proceedings of the American Mathematical Society)

D. Muthiah and P. Tingley, "Affine PBW Bases and Affine MV polytopes."
[arXiv:1609.0661] (Submitted)

D. Muthiah and D. Orr, "On the doubleaffine Bruhat order: the $\varepsilon=1$ conjecture and classification of covers in ADE type." [arXiv:1609.03653] (Submitted)

K.H. Lee, C. Lenart, and D. Liu, with appendix by D. Muthiah and A. Puskás,
"Whittaker functions and Demazure characters." [arXiv:1602.06451] (To appear in Journal of the Institute of Mathematics of Jussieu)

J. Kamnitzer, D. Muthiah, and A. Weekes, "On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian." [arXiv:1604.00053] (To appear in Transformation Groups)

D. Muthiah, "On IwahoriHecke Algebras for $p$adic Loop Groups: Double Coset Basis and Bruhat Order." [arXiv:1502.00525] (To appear in American Journal of Mathematics )

D. Muthiah and P. Tingley, "Affine PBW Bases and MV Polytopes in Rank 2," Selecta Mathematica, N.S. 20, (2014) no. 1, 237260.
[arXiv:1209.2205]

D. Muthiah, "Double MV Cycles and the NaitoSagakiSaito Crystal," Advances in Mathematics 240, (2013) 268  290.
[arXiv:1108.5404]
