Publications
Conley
- Representations of finite length of semidirect
product Lie groups, J. Funct. Anal. 114 (1993),
421-457.
- Little group method for smooth representations of
finite length, Duke Math. J. 79 (1995), no.
3, 619-666.
- Geometric realizations of representations of
finite length, Reviews Math. Phys. 9 (1997),
no. 7,
821-851.
- Geometric realizations of representations of
finite length II, Pacific J. Math. 183 (1998), no.
2, 201-213.
- Super multiplicative integrals, Lett.
Math. Phys. 47 (1999), no. 2, 63-74.
- A family of irreducible representations of the
Witt Lie algebra with infinite dimensional weight spaces, with C.
Martin,
Compositio Math. 128 (2001), 153-175.
- Bounded length 3 representations of the Virasoro
Lie algebra, Internat. Math. Res. Notices, 2001
no. 12, 609-628.
- Relative extremal projectors, with M. Sepanski, Adv.
Math. 174 (2003), no. 2, 155-166.
- Singular projective bases and the affine Bol
operator, with M. Sepanski, Adv. in Appl. Math. 33 (2004), no. 1, 158-191.
- Infinite commutative product formulas for relative
extremal projectors, with M. Sepanski, Adv. Math. 196 (2005), 52-77.
- Bounded subquotients of pseudodifferential
operator modules, Commun.
Math. Phys. 257 (2005),
641-657.
- Elliptic equations and products of positive
definite matrices, with P. Pucci and J. Serrin, Math. Nachr. 278 (2005), no. 12-13, 1490-1508.
- Annihilators of tensor density modules, with C. Martin, J. Alg. 312 (2007), 495-526.
- Maass-Jacobi forms over complex quadratic fields, with K. Bringmann and O. Richter, Math. Res. Lett. 14 (2007), no. 1, 137-156.
- Conformal symbols and the action of contact vector fields over the superline, J. Reine Angew. Math. 633 (2009) (arXiv 0712.1780).
Conference proceedings:
- Extensions of the mass 0 helicity 0
representation of the Poincaré group, in Non-compact Lie Groups and
Some of Their Applications, eds. E.
Tanner and R. Wilson, Kluwer, 1994, 315-324.
- Representations of finite length composed of tensor
density representations on the circle, in Rencontres Mathématiques de Glanon 2000.
- The projective quantization, in Rencontres Mathématiques de Glanon 2005.
- Quantizations of modules of differential operators, Contemp. Math. 490 (2009), 61-81 (arXiv 0810.2156).
Puzzles:
- Question: My friend on Planet X reports that the Sun
stayed at the same spot on the horizon for a whole day. Can this
be? Math Chat Challenge Question, Christian Science Monitor,
July
19, 1996, p. 15.
- If f is a continuous function from R to R
and f_d (x) = f (x+d) - f (x) is smooth for all d, is f smooth?
Problem, Amer. Math. Monthly 104 (1997) no. 3.