Publications:

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• Algorithms for computing characters for symmetric spaces, (2006), Congressus Numerantium. (with D.J. Gagliardi). To Appear.
• Properties of Twisted Involutions in Signed Permutation Notation, Journal of Combinatorial Math. and Combinatorial Computing, (with R. Haas and N. Rizki). To Appear.
• Implementing an algorithm for the twisted involution poset for Weyl groups, (2006), Congressus Numerantium, (with K. Brennemann and R. Haas). To Appear.
• Computing the fine structure of real reductive symmetric spaces, (with J. R. Fowler), To Appear.
• Algorithms for twisted involutions in Weyl groups, (with R. Haas), To Appear.
• Classification of involutions of SL(n, k),(with Christopher Dometrius and Ling Wu), (33 pages), Acta Appl. Math., To Appear.
• Computing admissible sequences for twisted involutions in Weyl groups, (9 pages) To Appear.
• Multiplicity one for representations corresponding to spherical distribution vectors of class &rho, (with G.F. Helminck), Acta Appl. Math., 86 (2005), no. 1-2, 21-48.
• Algorithms for computations in local symmetric spaces, (with Jennifer Fowler), (23 pages), To Appear.
• Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Invariant theory in all characteristics, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., (2004), 71-90.
• Smoothness of quotients associated with a pair of commuting involutions, (with Gerry Schwarz), Can. Journal Math., 56 (2004), no. 5, 945-962.
• Tori Invariant under an Involutorial Automorphism III, Real groups. (61 pages), under revision.
• Hilbert Flag Varieties and their Kahler structure, (with G.F. Helminck), J. Physics A., 35 (2002), no. 40, 8531-8550.
• Spherical distribution vectors, (with G.F. Helminck), Acta Appl. Math., 73 (2002), no. 1-2, 39-57.
• Orbits and invariants associated with a pair of spherical varieties, (with Gerry Schwarz), Acta Appl. Math., 73 (2002), no. 1-2, 103-113.
• Classification of involutions of SL(2, k). (with Ling Wu), Comm. in Algebra, 30 (2002), no. 1, 193--203.
• Orbits and invariants associated with commuting involutions, (with Gerry Schwarz), Duke Math. Journal, Vol. 106 (2001), No.2, 237-280.
• On orbit closures of symmetric subgroups in flag varieties, (with Michel Brion), Can. Journal Math., Vol 52 (2), (2000), pp. 265-292.
• Computing orbits of minimal parabolic k-subgroups acting on symmetric k-varieties. J. Symb. Comp. 30, (2000), 521-553.
• Multiplicities for representations related to p-adic symmetric varieties, (with G.F. Helminck), (29 pages).
• On the classification of k-involutions, Adv. in Math. 153, no. 1, (2000), 1-117.
• A Conjugacy Theorem for Symmetric Spaces (with J. Hilgert, A. Neumann and G. Olafsson), Mathematische Annalen, 313, (1999), 785-791.
• A class of parabolic k-subgroups associated with symmetric k-varieties. (with G.F. Helminck) Trans. Amer. Math. Soc. 350, (1998), 4669-4691.
• Tori Invariant under an Involutorial Automorphism II, Adv. in Math. 131, no. 1, (1997), 1-92.
• Computing B-orbits on G/H, J. Symb. Comp. Vol. 21, (1996) 169-209.
• Infinite dimensional flag manifolds in integrable systems, Acta Appl. Math. 41 (1995), 99-121. (jointly with G.F. Helminck).
• The structure of Hilbert Flag Varieties, (with G.F. Helminck). Publ. Res. Inst. Math. Sci., Kyoto Univ. 30, (1994), 401-442.
• Symmetric k-varieties, Algebraic Groups and Their Generalizations: Classical Methods (Providence, RI), vol. 56, Proc. Sympos. Pure Math. no. Part 1, Amer. Math. Soc, 1994, pp. 233-279.
• Holomorphic line bundles on Hilbert flag varieties, (with G.F. Helminck). Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods (Providence, RI), vol. 56, Proc. Sympos. Pure Math., no. Part 2, Amer. Math. Soc, 1994, pp. 349-375.
• On rationality properties of involutions of reductive groups. (with S. P. Wang). Adv. in Math. 99 (1993), 26-97.
• On groups with a Cartan involution, Proceedings of the Hyderabad conference on Algebraic Groups (Hyderabad, India), National Board for Higher Mathematics, 1992, pp. 151-192.
• Tori Invariant under an Involutorial Automorphism I, Adv. in Math. 85 (1991), 1-38.
• On the orbits of affine symmetric spaces under the action of a parabolic subgroup, Contemporary Math. 88 (1989), 435-447.
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces, Adv. in Math. 71 (1988), 21-91.
• Trilinear alternating forms on a vector space of dimension 7. (with A.M. Cohen). Comm. in Algebra, 16 (1) (1988), 1-25.
• A classification of semisimple symmetric spaces and their restricted root system, In: ``Lie algebras and related topics'', C.B.M.S. Conf. Proc. 5, pages: 333-340, 1986.
• Classification of Real semisimple Lie algebras. In: ``The structure of real semisimple Lie groups'' (T. Koornwinder, et al. eds.), MC Syllabus 49, pages: 113-136, 1982.

Publications in preparation:

• H(k)-invariant distribution vectors for representations related to p-adic symmetric varieties. (jointly with G.F. Helminck).
• Intertwining operators related to spherical distribution vectors. (jointly with G.F. Helminck).
• On the harmonic analysis of the symmetric pair (SL(2,k), D(2,k)).
• Hamiltonian cycles in Cayley graphs. (jointly with Carla Savage)
• Classification of involutions of SO(2n+1, k). (jointly with Ling Wu).

Books in preparation:

• Real Lie Groups and Semisimple Symmetric Spaces.
• Computational aspects of Symmetric Spaces.

Maple Code:

• Involution poset for twisted involutions in Weyl groups.