Professor Department of Mathematics University of Wisconsin-Madison 480 Lincoln Drive Madison, WI 53706 USA Email: ram@math.wisc.edu and Department of Mathematics and Statistics University of Melbourne Parkville VIC 3010 Australia Email: A.Ram@ms.unimelb.edu.au
Ph.D. in Mathematics, University of California, San Diego, 1991
Van Vleck Assistant Professor, University of Wisconsin, Madison, 1992-1995
Assistant Professor, Princeton University, 1995-99
Associate Professor, University of Wisconsin, Madison, 1999-2003
Professor, University of Wisconsin, Madison, 2003--
Professor, University of Melbourne, 2007--
Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, Jan. 1997-June 1997
Research fellow, Isaac Newton Institute for the Mathematical Sciences, Cambridge, England, January-June 2001
Research fellow, Max-Planck Institut fur Mathematik, Bonn, Germany, February-July 2005
Program Organizer, Mathematical Sciences Research Institute, Berkeley, Jan. 2008-May 2008
Vilas Associates Award, University of Wisconsin, Madison, July 2004-June 2006.
NSF Grant "Representation Theory and Combinatorics", May 2001-May 2004.
NSA Grant "Representation Theory and Combinatorics", Oct. 2000-Oct. 2002.
NSF Grant "Representation Theory and Combinatorics", Sept. 1996-Aug. 2000.
(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 Pieri-Chevalley formula in the K-theory of a G/B-bundle (with H. Pittie), Electronic Research Announcements, 5 (1999), 102--107.
(21) 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.
(22) Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques (with P. Diaconis), Michigan Mathematical Journal, 48 (2000), 157--190.
(23) 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.
(24) Representations of graded Hecke algebras (with C. Kriloff), Representation Theory 6 (2002), 31--69.
(25) 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.
(26) Classification of graded Hecke algebras for complex reflection groups (with A. Shepler), Commentari Mathematici Helvetici, 78 No. 2 (2003), 308-334.
(27) Affine Hecke algebras and generalized standard Young tableaux, J. Algebra 230 , volume in honor of Robert Steinberg's 80th birthday, (2003), 367--415.
(28) 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.
(29) 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.
(30) 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.
(31) 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.
(32) Partition algebras (with T. Halverson), European J. of Combinatorics, 26 (2005) 869-921.
(33) 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.
(34) 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.