Ph.D., M.I.T., 1990-1994 (Advisor: B. Kostant)
B.S., Purdue University, 1987-1990
Dr. Sepanski joined the Baylor faculty in 1997. Prior to coming to Baylor, he taught at Oklahoma State University (1995-1997) and Cornell University (1994-1995). Though being born in Minnestoa and ending up in Indiana, he mostly grew up in Wisconsin. He has been married to Laura Sepanski since 1990 and has three delightful children: Sarah, Benjamin, and Shannon. Besides mathematics, he enjoys gardening with native Texas plants, playing the guitar, Tae Kwon Do, rock climbing, hiking, camping, biking, reading fantasy, spending time with his family, and hopes to dabble with cooking once his children grow taste buds.
Academic Interests and Research:
Dr. Sepanski's research is in Lie theory and, in particular, in representation theory of real reductive Lie groups.
Selected Research Articles:
"Positivity of zeta distributions and small unitary representations," joint with L. Barchini and R. Zierau, In: The ubiquitous heat kernel, 1-46, Contemp. Math. 398, Amer. Math. Soc., Providence, RI, 2006.
"On SL(2,R) Lie symmetries and representation theory," joint with R. Stanke, J. Funct. Anal. 224 (2005), 1-21. "Infinite commutative product formulas for relative extremal projectors," joint with C. Conley, Adv. Math. 196 (2005), 52-77.
"Singular projective bases and the generalized Bol operator," joint with C. Conley, Adv. Appl. Math. 33 (2004), 158-191.
"K-types of SU(1,n) representations and restriction of cohomology," Pacific J. Math. 192 (2000), 385-398.
"Block-compatible metaplectic cocycles," joint with W.D. Banks and J. Levy, J. Reine Angew. Math. 507 (1999), 131-163.
"Closure ordering and the Kostant-Sekiguchi correspondence," joint with D. Barbasch, Proc. Amer. Math. Soc. 126 (1998), 311-317.
Compact Lie Groups, Graduate Texts in Mathematics, Springer-Verlag, 2006.
Current Ph.D. Students:
- Yan Cheng
- Jose Franco
Dr. Sepanksi's teaching interests range from introductory calculus classes for undergraduates to specialized courses for Ph.D. students. He just finished writing a textbook on undergraduate abstract algebra.
Courses taught at Baylor:
- MTH 1304 - Pre-Calculus
- MTH 1321 - Calculus I
- MTH 1322 - Calculus II
- MTH 2311 - Linear Algebra
- MTH 2321 - Calculus III
- MTH 3312 - Foundations of Combinatorics and Algebra
- MTH 3323 - Introduction to Analysis
- MTH 3325 - Ordinary Differential Equations
- MTH 4314 - Abstract Algebra
- MTH 4326 - Advanced Calculus I
- MTH 4327 - Advanced Calculus II
- MTH 5323 - Theory of Functions of Real Variables I
- MTH 5324 - Theory of Functions of Real Variables II
- MTH 5330 - Topology
- MTH 5340 - Differential Geometry
- MTH 5331 - Algebraic Topology I
- MTH 5332 - Algebraic Topology II
- MTH 6340 - Compact Lie Groups
- MTH 6341 - Lie Algebras
- MTH 6V43 - Advanced Topics in Representation Theory