(1)
A Frobenius formula for the Characters of the Hecke algebras,
* Invent. Math. *
** 106 **
(1991), 461-488.

(2)
Matrix units for centralizer algebras
(with H. Wenzl),
* J. of Algebra *
** 145 ** (1992), 378-395.

(3)
Weyl group symmetric functions and the representation theory of Lie
algebras,
* Proceedings of the 4th conference ``Formal Power Series
and Algebraic Combinatorics", *
Publ. LACIM ** 11 ** (1992), 327-342.

(4)
Characters of Brauer's centralizer algebras,
* Pacific Journal of Math. *
** 169 **
(1995) 173-200.

(5)
Characters of algebras containing a Jones basic construction:
The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
(with T. Halverson),
* Advances in Math. * ** 116 ** (1995) 263-321.

(6)
Standard Lyndon bases of Lie algebras and enveloping algebras
(with P. Lalonde),
* Trans. of the Amer. Math. Soc. *
** 347 **
(1995), 1821-30.

(7)
Combinatorics of the q-basis of symmetric functions
(with J. Remmel and S.T. Whitehead),
* J. Combinatorial Theory Ser. A. *
** 76 **
(1996) 231-71.

(8)
Murnaghan-Nakayama rules for characters
of Iwahori-Hecke algebras of classical Type
(with T. Halverson),
* Trans. of Amer. Math. Soc. *
** 348 ** (1996), 3967-3995.

(9)
Applications of the Frobenius formulas for the characters of the
symmetric group and the Hecke algebras of type A
(with J. Remmel),
* J. of Algebraic Combinatorics *
** 6 ** (1997), 59-87.

(10)
A ribbon Hopf algebra approach to the irreducible representations
of centralizer algebras:
The Brauer, Birman-Wenzl, and Type A Iwahori-Hecke algebras
(with R. Leduc),
* Advances in Math. *
** 125 ** (1997), 1-94.

(11)
Seminormal representations of Weyl groups and Iwahori-Hecke algebras,
* Proceedings of the London Math. Soc. (3) *
** 75 ** (1997), 99-133.

(12)
Iwahori-Hecke algebras of type A, bitraces and symmetric
functions (with T. Halverson and R. Leduc),
* Int. Math. Research Notices * (1997)
No. ** 9**, 401-416.

(13)
A ``second orthogonality relation'' for
characters of Brauer algebras,
* European J. of Combinatorics, *
** 18 ** (1997), 685-706.

(14) A survey of quantum groups: background, motivation,
and results, in
*
``Geometric analysis and Lie theory in mathematics
and physics''*, A. Carey and M. Murray eds.,
Australian Math. Soc. Lecture Notes Series,
** 11 **
Cambridge University Press, 1997, pp. 20-104.

(15)
An elementary proof of Roichman's rule for irreducible characters of
Iwahori-Hecke algebras of type A, in
* Mathematical essays in honor of Gian-Carlo Rota* B. Sagan and R. Stanley ed., Birkhauser, Boston 1998, pp. 335-342.

(16)
Murnaghan-Nakayama rules for ``Hecke algebras'' of the
complex reflection groups G(r,p,n) (with T. Halverson),
* Canadian Journal of Mathematics. *
** 50 ** (1998), 167-192.

(17) Tensor product representations for orthosymplectic Lie superalgebras
(with G. Benkart and C.-Y. Lee Shader),
* J. Pure and Applied Algebra *
** 130 ** (1998), 1-48.

(18) Bitraces for GL_n(F_q) and the Iwahori-Hecke algebra of type A
(with T. Halverson), * Indag. Mathem., N.S. *
** 10 ** (1999), 247-268.

(19) Explicit irreducible representations of the Iwahori-Hecke algebra of
type F_4 (with D. Taylor),
* manuscripta mathematica * ** 99 ** (1999), 13-37.

(20) A review of Young tableaux: With applications to representation theory and geometry, by William Fulton, Cambridge University Press, New York, 1997. *Bulletin American Math. Soc.*
**36** (1999), 251-259.

(21)
A Pieri-Chevalley formula in the K-theory of a G/B-bundle (with H. Pittie),
* Electronic Research Announcements*, ** 5 ** (1999), 102--107.

(22)
Combinatorial Representation Theory (with H. Barcelo),
in * New perspectives in algebraic combinatorics
(Berkeley, CA, 1996--97) *, 23--90,
Math. Sci. Res. Inst. Publ., ** 38 **,
Cambridge Univ. Press, Cambridge, 1999, pp. 23--90.

(23)
Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke
algebra techniques (with P. Diaconis),
* Michigan Mathematical Journal*, ** 48 ** (2000), 157--190.

(24)
q-rook monoid algebras, Hecke algebras and Schur-Weyl duality
(with T. Halverson),
* Zapiski Nauchanyh Seminarov POMI* ** 283 ** (2001),
224-250 and
* Journal of Mathematical Sciences* ** 121 ** No. 3 (2004),
2419-2436.

(25)
Representations of graded Hecke algebras
(with C. Kriloff), *Representation Theory*
** 6 ** (2002), 31--69.

(26)
Representations of rank two affine Hecke algebras,
in *Advances in Algebra and
Geometry*, (University of Hyderabad conference 2001), C. Musili ed.,
Hindustan Book Agency, 2002, 57-91.

(27)
Classification of graded Hecke algebras for complex reflection groups
(with A. Shepler), * Commentari Mathematici Helvetici*,
** 78 ** No. 2 (2003), 308-334.

(28)
Affine Hecke algebras and generalized standard Young tableaux,
*J. Algebra* **230**, volume in honor
of Robert Steinberg's 80th birthday, (2003), 367--415.

(29)
Skew shape representations are irreducible,
in * Combinatorial and Geometric representation theory *,
S.-J. Kang and K.-H. Lee eds., * Contemp. Math.*
** 325 ** Amer. Math. Soc. 2003, 161-189.

(30)
Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
(with J. Ramagge),
in * A tribute to C.S. Seshadri: Perspectives in Geometry and
Representation theory*, V. Lakshimibai et al eds.,
Hindustan Book Agency, New Delhi (2003), 428--466.

(31)
Kostka-Foulkes polynomials and Macdonald spherical functions
(with K. Nelsen), in
* Surveys in Combinatorics 2003 *, C. Wensley ed.,
London Math. Soc. Lect. Notes ** 307 **,
Cambridge University Press, 2003, 325--370.

(32)
Affine Hecke algebras and the Schubert calculus
(with S. Griffeth),* European J. of Combinatorics*, special volume in
honor of Alain Lascoux on the occasion of his 60th birthday, ** 25 ** no. 8 (2004) 1263-1283.

(33) Partition algebras (with T. Halverson), *European J. of Combinatorics*, ** 26 ** (2005) 869-921.

(34) Alcove walks, Hecke algebras, spherical functions,
crystals and column strict tableaux,
*Pure and Applied Mathematics Quarterly* ** 2** no. 4
*(Special Issue: In honor of
Robert MacPherson, Part 2 of 3)*
(2006) 963-1013.

(35) Affine Braids, Markov traces and the Category O (with R. Orellana),
*Proceedings of the International
Colloquium on
Algebraic Groups and Homogeneous Spaces Mumbai 2004*,
V.B. Mehta ed., Tata Institute of Fundamental Research, Narosa Publishing
House, Amer. Math. Soc. (2007) 423-473.

(36)
Combinatorics in affine flag varieties
(with J. Parkinson and C. Schwer),* Journal of Algebra* **321** (2009) 3469-3493. doi:10.1016/j.jalgebra.2008.04.015

(37) Commuting families in Hecke and Temperley-Lieb algebras (with T. Halverson and M. Mazzocco), arXiv:0710.0596, *Nagoya Math. J.* **195** (2009), 125-152.

(38) Universal Verma modules and the Misra-Miwa Fock space (with P. Tingley,) arXiv1002.0558,* Int. J. Math. and Math. Sci.*, special issue on "Categorification in Representation Theory", Volume 2010, Article ID 326247, 19 pages, doi:10.1155/2010/326247.

(39) Homogeneous representations of Khovanov-Lauda algebras (with A. Kleshchev), arXiv0809.0557, *J. Eur. Math. Soc.* **12** (2010), 1293-1306, DOI 10.4171/JEMS/230.

(40) A combinatorial formula for Macdonald polynomials (with M. Yip), arXiv:0803.1146,* Advances in Math*.** 22**6 (2011), 309-331, doi:10.1016/j.aim.2010.06.022.

(41) Representations of Khovanov-Lauda-Rouquier Algebras and Combinatorics of Lyndon Words (with A. Kleshchev), arXiv0909.1984,* Math. Annalen*** 349** (2011), 943-975, DOI 10.1007/s00208-010-0543-1.

(42)
Millennium Prize: the Hodge Conjecture, published in *The Conversation*,
http://theconversation.edu.au/millenium-prize-the-hodge-conjecture-4243, 22 November 2011.

(43) A probabilistic interpretation of the Macdonald polynomials
(with P. Diaconis), arXiv1007.4779,
*The Annals of Probability* **40** (2012) No. 5, 1861-1896, DOI 10.1214/11-AOP674.

(44) Universal Specht modules for cyclotomic Hecke algebras
(with A. Kleshchev and A. Mathas), arXiv1102.3519,
*Proc. London Math. Soc.* (3) **105** (2012) 1245-1289.

(45) Affine and degenerate affine BMW algebras: Actions on tensor space
(with Z. Daugherty and R. Virk), arXiv:1205.1852,
*Selecta Mathematica* **19** no. 2 (2013) 611-653.

(46) Symmetry breaking, subgroup embeddings and the Weyl group (with D. George, J. Thompson and R. Volkas), arXiv:1203.1048,
*Physical Review D* **87**
105009 (2013) [14 pages].

(47) Hopf algebras and Markov chains: Two examples and a theory,
(with P. Diaconis and A. Pang), arXiv1206.3620,
*Journal of Algebraic Combinatorics* **39** (2014) 527-585.
DOI:10.1007/s10801-013-0456-7

(48) Generalized Schubert Calculus, (with N. Ganter),
arXiv1212.5742, *J. Ramanujan Math. Soc.* **28A**
(Special Issue-2013), 149-190.

(49) Affine and degenerate affine BMW algebras: The center (with Z. Daugherty and R. Virk), arXiv:1105.4207, *Osaka J. Math.* **51** (2014) 257-283.

(50) Cyclic representation of the Temperley-Lieb algebra, complex Virasoro representations and stochastic processes (with F.C. Alcaraz and V. Rittenberg),
arXiv:1402.5990, *J. Phys. A: Math. Theor.* **47** (2014) 212003.

(51) MathML for mathematics research articles, preprint 2008.

(52) Alcove walks, buildings, symmetric functions and representations
(with J. Parkinson),
preprint 2008, arXiv0807.3602.