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Jeffrey J. Mitchell, Ph.D.

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Professor of Mathematics

Associate Dean, School of Engineering, Math and Science

Associate Dean, School of Engineering, Math and Science

Educational Background

- Ph.D., Mathematics, Cornell University, 1998
- Master of Science, Mathematics, Cornell University, 1996
- Bachelor of Science, Mathematics, Missouri University of Science and Technology, 1993

Professional Background

- January 2011-present: Associate Dean, School of Engineering, Mathematics and Science, Robert Morris University
- Fall 2010-present: Professor of Mathematics, Robert Morris University
- Fall 2007-Summer 2010: Department Head, Mathematics Department, Robert Morris University
- Fall 2007-Summer 2010: Associate Professor of Mathematics, Robert Morris University
- Fall 2003-Summer 2007: Assistant Professor of Mathematics, Robert Morris University
- 1998-Spring 2003: Assistant Professor of Mathematics, Baylor University
- Spring 2002: Visiting Assistant Professor of Mathematics, Louisiana State University (on research leave from Baylor University)

Area of Expertise/Research

- Mathematical Physics

Publications

- Coherent states for a 2-sphere with a magnetic field, joint with Brian Hall, to appear in
*J Phys A.* - The Segal-Bargmann transform for compact quotients of symmetric spaces of the complex type, joint with Brian Hall,
*Taiwanese J. Math.***16**(2012), no. 1, 13-45. - Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type, joint with Brian Hall,
*J. Funct. Anal.***254**(2008), 1575-1600. - The Segal-Bargmann transform for noncompact symmetric spaces of the complex type, joint with Brian Hall,
*J. Funct. Anal.***227**(2005), 338-371. - Monopole charge quantization, or why electromagnetism is a U(1)-gauge theory, joint with Ambar Sengupta,
*Ann. Physics***312**(2004), no. 2, 411-430. - Asymptotic behavior in heat kernel analysis on manifolds, in Finite and Infinite Dimensional Analysis in Honor of Leonard Gross,
*Contemp. Math.*,**317**, (2003), Amer. Math. Soc., Providence, RI, 179-192. - Asymptotic expansions of Hermite functions on Lie groups,
*Potential Anal.***17**(2002), no. 2, 125-164. - Coherent states on spheres, joint with Brian Hall,
*J. Math. Phys.***43**(2002), no. 3, 1211-1236. - The large radius limit for coherent states on spheres, joint with Brian Hall, in Mathematical Results in Quantum Mechanics,
*Contemp. Math.*,**307**, (2002), Amer. Math. Soc., Providence, RI, 155-162. - Small-time asymptotics of Hermite functions on compact symmetric spaces,
*J. Math. Anal. Appl.***263**(2001), no. 1, 165-181. - Hamiltonian formalism and the state of a physical system, joint with Robert Piziak,
*Comput. Math. Appl.***42**, No. 6/7 (2001), 793-805. - Short time behavior of Hermite functions on compact Lie groups,
*J. Funct. Anal.***164**(1999), 209-248.