Daniel Orr

dorr@vt.edu

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

Research

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

Publications

  • D. Muthiah and D. Orr
    On the double-affine Bruhat order: the ε = 1 conjecture and classification of covers in ADE type
    Algebraic Combinatorics, to appear (2018)
    arXiv

  • E. Feigin, I. Makedonskyi, and D. Orr
    Generalized Weyl modules and nonsymmetric q-Whittaker functions
    Advances in Mathematics, to appear (2018)
    arXiv

  • D. Muthiah and D. Orr
    Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties
    Contemporary Mathematics, to appear (2018)
    arXiv

  • D. Orr and M. Shimozono
    Specializations of nonsymmetric Macdonald-Koornwinder polynomials
    Journal of Algebraic Combinatorics 47 (2018), no. 1, 91-127
    journal arXiv

  • D. Orr and L. Petrov
    Stochastic higher spin six vertex model and q-TASEPs
    Advances in Mathematics, Volume 317, 473-525 (2017)
    journal arXiv

  • I. Cherednik and D. Orr
    Nonsymmetric difference Whittaker functions
    Mathematische Zeitschrift, Volume 279, Issue 3, 879-938 (2015)
    journal arXiv

  • I. Cherednik and D. Orr
    One-dimensional nil-DAHA and Whittaker functions II
    Transformation Groups, vol. 18, no. 1, 23-59 (2013)
    journal arXiv

  • I. Cherednik and D. Orr
    One-dimensional nil-DAHA and Whittaker functions I
    Transformation Groups, vol. 17, no. 4, 953-987 (2012)
    journal arXiv

Preprints

  • D. Orr and M. Shimozono
    Quiver Hall-Littlewood functions and Kostka-Shoji polynomials
    arXiv

  • S. Naito, D. Orr, and D. Sagaki
    Pieri-Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds
    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).