Charles H. Conley

Previous Scheduled Teaching

Published Intellectual Contributions

Conference Proceeding

• C. Conley. (1994). Extensions of the mass 0 helicity 0 representation of the Poincaré group. Other. Non‑compact Lie Groups and Some of Their Applications. 429 315-324. Dordrecht, Kluwer.

Journal Article

• Conley, C.H., Ovsienko, V. (2023). Counting quiddities of polygon dissections. The Mathematical Intelligencer. 45 (3) 256-262.
• Conley, C.H., Ovsienko, V. (2023). Quiddities of polygon dissections and the Conway-Coxeter frieze equation. Annali della Scuola Normale Superiore di Pisa. 24 2125-2170.
• Conley, C.H., Ovsienko, V. (2023). Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group. Journal of Geometry and Physics. 190 paper 104866, 18 pages.
• Conley, C.H., Erickson, J. (2022). The vibrational modes of simplicial molecules. The Mathematical Intelligencer. 44 (4) 364-370.
• Conley, C.H., Ovsienko, V. (2019). Lagrangian configurations and symplectic cross-ratios. Mathematische Annalen. 375 (3-4) 1105-1145. arXiv:1812.04271
• Conley, C.H., Ovsienko, V. (2018). Rotundus: triangulations, Chebyshev polynomials, and Pfaffians. The Mathematical Intelligencer. 40 (3) 45-50.
• C. Conley, D. Grantcharov. (2017). Quantization and injective submodules of differential operator modules. Advances in Mathematics. 316 216-254.
• C. Conley, M. Raum. (2016). Harmonic Maaß-Jacobi forms of degree 1 with higher rank indices. International Journal of Number Theory. 12 (7) 1871-1897.
• C. Conley, V. Ovsienko. (2016). Linear differential operators on contact manifolds. International Mathematics Research Notices. 2016 (22) 6884-6920.
• C. Conley, R. Dahal. (2015). Centers and characters of Jacobi group-invariant differential operator algebras. Journal of Number Theory. 148 40-61.
• C. Conley, J. Larsen. (2015). Equivalence classes of subquotients of pseudodifferential operator modules. Transactions of the American Mathematical Society. 367 (12) 8809-8842.
• C. Conley. (2015). Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules. Algebras and Representation Theory. 18 (3) 665-692.
• C. Conley, M. Sepanski. (2015). Factorizations of relative extremal projectors. P-Adic Numbers, Ultrametric Analysis, and Applications. 7 (4) 276-290.
• Bringmann, K., Conley, C.H., Richter, O.K. (2012). Jacobi forms over complex quadratic fields via the cubic Casimir operators. Commentarii Mathematici Helvetici. 87 (4) 825-859.
• C. Conley. (2009). Conformal symbols and the action of contact vector fields over the superline. Journal fur die reine und angewandte Mathematik. 633 115-163.
• C. Conley. (2009). Quantizations of modules of differential operators. Contemporary Mathematics. 490 61-81.
• C. Conley, C. Martin. (2007). Annihilators of tensor density modules. Journal of Algebra. 312 (1) 495-526.
• Bringmann, K., Conley, C.H., Richter, O.K. (2007). Maass-Jacobi forms over complex quadratic fields. Mathematical Research Letters. 14 (1) 137-156.
• C. Conley. (2005). Bounded subquotients of pseudodifferential operator modules. Communications in Mathematical Physics. 257 (3) 641-657.
• C. Conley, P. Pucci, J. Serrin. (2005). Elliptic equations and products of positive definite matrices. Mathematische Nachrichten. 278 (12-13) 1490-1508.
• C. Conley, M. Sepanski. (2005). Infinite commutative product formulas for relative extremal projectors. Advances in Mathematics. 196 (1) 52-77.
• C. Conley, M. Sepanski. (2004). Singular projective bases and the affine Bol operator. Advances in Applied Mathematics. 33 (1) 158-191.
• C. Conley, M. Sepanski. (2003). Relative extremal projectors. Advances in Mathematics. 174 (2) 155-166.
• C. Conley, C. Martin. (2001). A family of irreducible representations of the Witt Lie algebra with infinite dimensional weight spaces. Compositio Mathematica. 128 (2) 153-175.
• C. Conley. (2001). Bounded length 3 representations of the Virasoro Lie algebra. International Mathematics Research Notices. 2001 (12) 609-628.
• C. Conley. (1999). Super multiplicative integrals. Letters in Mathematical Physics. 47 (1) 63-74.
• C. Conley. (1998). Geometric realizations of representations of finite length II. Pacific Journal of Mathematics. 183 (2) 201-211.
• C. Conley. (1997). Geometric realizations of representations of finite length. Reviews in Mathematical Physics. 9 (7) 821-851.
• C. Conley. (1995). Little group method for smooth representations of finite length. Duke Mathematical Journal. 79 (3) 619-666.
• C. Conley. (1993). Representations of finite length of semidirect product Lie groups. Journal of Functional Analysis. 114 (2) 421-457.

Contracts, Grants and Sponsored Research

Fellowship

• Conley, C.H. (Principal), "Gauge supergroups," sponsored by NSF International Research Fellowship, Federal, $40628 Funded. (1998 - 1999).
• Conley, C.H. (Principal), "Semidirect product Lie groups," sponsored by NSF Postdoctoral Fellowship, Federal, $75000 Funded. (1991 - 1994).

Grant - Research

• Conley, C.H. (Principal), Shepler, A.V. (Co-Principal), "Southwest Local Algebra Meeting 2023, DMS 2302498," sponsored by National Science Foundation, Federal, $16000 Funded. (2023 - 2023).
• Conley, C.H. (Principal), "Contact Schwarzians, extremal projectors, and infinitesimal characters," sponsored by Simons Foundation Collaboration Grant, Private, $42000 Funded. (2017 - 2022).
• Conley, C.H. (Principal), "Lie algebra cohomology and invariant differential operators," sponsored by Simons Foundation Collaboration Grant, Private, $35000 Funded. (2011 - 2016).
• Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1302770," sponsored by National Science Foundation, Federal, $12000 Funded. (2013 - 2014).
• Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1132586," sponsored by National Science Foundation, Federal, $8000 Funded. (2011 - 2012).
• Conley, C.H. (Principal), "Representations of Lie algebras," sponsored by NSA Young Investigator Award, Federal, $36000 Funded. (2003 - 2005).
• Urbanski, M. (Principal), Schmidt, R. (Principal), "Random and Conformal Dynamical Systems," sponsored by Simons Foundation, FOND, Funded. (2018 - 2023).
• Conley, C.H. (Principal), Schmidt, R. (Principal), "Contact Schwarzians, Extremal Projectors, and Infinitesimal Characters," sponsored by Simons Foundation, FOND, Funded. (2017 - 2022).
• Shepler, A.V. (Principal), Schmidt, R. (Principal), "Deformations," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
• Richter, O.K. (Principal), Schmidt, R. (Principal), "Real-Analytic Automorphic Forms and Applications," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
• Conley, C.H. (Principal), Gao, S. (Principal), "Lie Algebra Cohomology and Invariant Differential Operators," sponsored by Simons Foundation, FOND, Funded. (2011 - 2017).