Stetson University

Thomas Vogel

Associate Professor of Mathematics

Tom Vogel joined Stetson University's Department of Mathematics in August of 2008 as an assistant professor after receiving his Ph.D. During his time at Stetson Vogel has been highly engaged in undergraduate research, restructuring entry level calculus, implementing mathematics diagnostic testing for all incoming students into the university, and his professional research in nonlinear dynamics and mathematical physics. In the spring of 2014 he was awarded tenure and promotion to associate professor of mathematics. Vogel is currently on sabbatical during the fall 2014/spring 2015 academic year. He has been granted a one year visiting scholar position in the University of Central Florida mathematics department where he is continuing his research with the Nonlinear Waves and Dynamics group.

Education

  • Ph.D., mathematics, University of Central Florida
  • M.S., mathematics, University of Central Florida
  • B.S., physics, University of Central Florida
  • B.S., mathematics, University of Central Florida

Course Topics

  • Calculus 1, 2 and 3
  • Differential Equations
  • Partial Differential Equations
  • Logic and Proof
  • Complex Analysis
  • Quantum Mechanics

Research Interests

  • Nonlinear dynamics
  • Variational approximations
  • Mathematical physics
  • Hamiltonian formulations of physical systems
  • Solitons

Publications

  • "Establishing the Onset, and Parameter and Spatial Domains, of Chaos in a Smooth Quadratic Autonomous System Using Silanikov Criteria and Competitive Mode Analysis." Discontinuity, Nonlinearity and Complexity 2(1) (2013) 1-6.
  • "Identification of Localized Structure in a Nonlinear Damped Harmonic Oscillator Using Hamiltons Principle." Involve (2010); vol. 3, issue 4.
  • "Establishing the Existence of Localized Structure using Variational Dynamics." Journal of Applied Global Research (2009); vol. 2, issue 4.
  • "Quantitative Measurement of Variational Approximations." Physics Letters A 362 (2007) 289-297.

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