Daniel Orr


Assistant Professor
Department of Mathematics
Virginia Tech

Office   530 McBryde Hall
Phone (540) 231-6510
Fax (540) 231-5960
Address Mathematics (MC 0123)
McBryde, RM 460
Virginia Tech
225 Stanger Street
Blacksburg, VA 24061

Curriculum Vita


My research lies in representation theory and algebraic combinatorics. I am interested primarily in Hecke algebras, Macdonald polynomials, and related objects.


  • Generalized Weyl modules and nonsymmetric q-Whittaker functions, with E. Feigin and I. Makedonskyi.
    Advances in Mathematics, to appear (2018). arXiv
  • Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties, with D. Muthiah.
    Contemporary Mathematics, to appear (2018). arXiv
  • Specializations of nonsymmetric Macdonald-Koornwinder polynomials, with M. Shimozono.
    Journal of Algebraic Combinatorics 47 (2018), no. 1, 91-127. journal arXiv
  • Stochastic higher spin six vertex model and q-TASEPs, with L. Petrov.
    Advances in Mathematics, Volume 317, 473-525 (2017). journal arXiv
  • Nonsymmetric difference Whittaker functions, with I. Cherednik.
    Mathematische Zeitschrift, Volume 279, Issue 3, 879-938 (2015). journal arXiv
  • One-dimensional nil-DAHA and Whittaker functions II, with I. Cherednik.
    Transformation Groups, vol. 18, no. 1, 23-59 (2013). journal arXiv
  • One-dimensional nil-DAHA and Whittaker functions I, with I. Cherednik.
    Transformation Groups, vol. 17, no. 4, 953-987 (2012). journal arXiv


  • Quiver Hall-Littlewood functions and Kostka-Shoji polynomials, with M. Shimozono.
    Preprint, 22 pages (2017). arXiv
  • On the double-affine Bruhat order: the ε = 1 conjecture and classification of covers in ADE type, with D. Muthiah.
    Preprint, 20 pages (2016). arXiv

Talk slides, etc.

Slides and video from a talk ''Specializations of nonsymmetric Macdonald polynomials at infinity'' at the workshop Whittaker Functions: Number Theory, Geometry, and Physics, Banff International Research Station (October 2013).