Publications
Conley


  1. Representations of finite length of semidirect product Lie groups, J. Funct. Anal. 114 (1993), no. 2, 421-457.

  2. Little group method for smooth representations of finite length, Duke Math. J. 79 (1995), no. 3, 619-666.

  3. Geometric realizations of representations of finite length, Rev. Math. Phys. 9 (1997), no. 7, 821-851. Preprint

  4. Geometric realizations of representations of finite length II, Pacific J. Math. 183 (1998), no. 2, 201-211.

  5. Super multiplicative integrals, Lett. Math. Phys. 47 (1999), no. 1, 63-74.

  6. A family of irreducible representations of the Witt Lie algebra with infinite dimensional weight spaces, with C. Martin, Compositio Math. 128 (2001), no. 2, 153-175.

  7. Bounded length 3 representations of the Virasoro Lie algebra, Internat. Math. Res. Notices 2001, no. 12, 609-628.

  8. Relative extremal projectors, with M. Sepanski, Adv. Math. 174 (2003), no. 2, 155-166.

  9. Singular projective bases and the affine Bol operator, with M. Sepanski, Adv. in Appl. Math. 33 (2004), no. 1, 158-191.

  10. Infinite commutative product formulas for relative extremal projectors, with M. Sepanski, Adv. Math. 196 (2005), no. 1, 52-77.

  11. Bounded subquotients of pseudodifferential operator modules, Comm. Math. Phys. 257 (2005), no. 3, 641-657.

  12. Elliptic equations and products of positive definite matrices, with P. Pucci and J. Serrin, Math. Nachr. 278 (2005), no. 12-13, 1490-1508.

  13. Annihilators of tensor density modules, with C. Martin, J. Alg. 312 (2007), no. 1, 495-526. Preprint

  14. Maass-Jacobi forms over complex quadratic fields, with K. Bringmann and O. Richter, Math. Res. Lett. 14 (2007), no. 1, 137-156. Preprint

  15. Conformal symbols and the action of contact vector fields over the superline, J. Reine Angew. Math. 633 (2009), 115-163. (arXiv 0712.1780)

  16. Jacobi forms over complex quadratic fields via the cubic Casimir operators, with K. Bringmann and O. Richter, Comment. Math. Helv. 87 (2012), no. 4, 825-859. Preprint

  17. Centers and characters of Jacobi group-invariant differential operator algebras, with R. Dahal, J. Number Theory 148 (2015), 40-61. (arXiv:1402.7021)

  18. Equivalence classes of subquotients of pseudodifferential operator modules, with J. Larsen, Trans. Amer. Math. Soc. 367 (2015), no. 12, 8809-8842. (arXiv:1306.5193)

  19. Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules, Algebr. Represent. Theory 18 (2015), no. 3, 665-692. (arXiv:1310.3302)

  20. Harmonic Maass-Jacobi forms of degree 1 with higher rank indices, with M. Raum, Int. J. Number Theory 12 (2016), no. 7, 1871-1897. (arXiv:1012.2897)

  21. Linear differential operators on contact manifolds, with V. Ovsienko, Internat. Math. Res. Notices 2016, no. 22, 6884-6920. (arXiv:1205.6562)

  22. Quantization and injective submodules of differential operator modules, with D. Grantcharov, Adv. Math. 316 (2017), 216-254. (arXiv:1412.8071)


Conference proceedings:

  1. Extensions of the mass 0 helicity 0 representation of the Poincare group, in Non-compact Lie Groups and Some of Their Applications, eds. E. Tanner and R. Wilson, Kluwer, 1994, 315-324. Preprint

  2. Representations of finite length composed of tensor density representations on the circle, in Rencontres Mathematiques de Glanon 2000. Preprint

  3. The projective quantization, in Rencontres Mathematiques de Glanon 2005. Preprint

  4. Quantizations of modules of differential operators, Contemp. Math. 490 (2009), 61-81. (arXiv 0810.2156)

  5. Factorizations of relative extremal projectors, with M. Sepanski, p-Adic Numbers Ultrametric Anal. Appl. 7 (2015), no. 4, 276-290. (arXiv:1507.02587)


Puzzles:

  1. 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.

  2. 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.