Profile

Jeffrey J. Mitchell, Ph.D.
Professor of Mathematics (Mathematics)
Vice Dean, College of Business and STEM (College of Business and STEM)
mitchellj@rmu.edu
412-397-4021 phone (M)
412-397-2472 fax
John Jay 204


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.