Welcome
Luz Vianey Vela-Arevalo

School of Mathematics
Georgia Institute of Technology

• Office: Skiles 242.
• Phone: (404)894-6540
• Email: luzvela@math.gatech.edu
• Webpage: http://www.math.gatech.edu/~luzvela

Course information for MATH 2411 Spring 2012

Previous Teaching in GaTech

    Education

• Ph.D. (2002), California Institute of Technology , Pasadena, CA, USA
• M.Sc. (1996), Universidad Autonoma Metropolitana, Mexico DF, Mexico
• B.Sc. (1994), Universidad Autonoma de Aguascalientes, Aguascalientes, Mexico

• Visiting assistant professor, School of Mathematics, Georgia Institute of Technology, 2007.
• Professor "Titular A" Universidad Autonoma de Aguascalientes, Mexico, 2005-2009.
• Joseph Ford Postdoctoral Fellowship, Georgia Institute of Technology. 2001-2004.
• Fulbright-Conacyt Fellowship for PhD, 1997-2000.
• Caltech special tuition award for PhD, 1997-2001.

My research interests include Hamiltonian dynamics and celestial mechanics, numerical methods to analyze dynamical systems, wavelet analysis, and semiclassical methods in quantum mechanics.

• Luz V. Vela-Arevalo and Ron F. Fox, "Coherent states of the driven Rydberg atom: Quantum-classical correspondence of periodically driven systems" Physical Review A 71, 063403 (13 pages), 2005. PDF here.
  Article featured in the Virtual Journal of Ultrafast Science , Vol. 4,7 (Jul 2005)

• Luz V. Vela-Arevalo and Ron F. Fox, "Semiclassical analysis of long-wavelength multiphoton processes: The Rydberg Atom" Physical Review A 69, 063409 (13 pages), 2004. PDF here.
  Article featured in the Virtual Journal of Ultrafast Science , Vol. 3,7 (Jul 2004)

• Luz V. Vela-Arevalo and Jerrold E. Marsden, "Time-frequency analysis of the restricted three-body problem: transport and resonance transitions" Classical and Quantum Gravity 21, S351-S375, 2004. PDF here.
  Invited article for the Special Issue: A Spacetime Safari: Essays in Honour of Vincent Moncrief

• Ron F. Fox and Luz V. Vela-Arevalo, "Semiclassical analysis of long-wavelength multiphoton processes: The periodically driven harmonic oscillator" Physical Review A 66, 053402 (10 pages), 2002. PDF here.
  Article featured in the Virtual Journal of Ultrafast Science, Vol 1,6 (Nov 2002)

• Luz V. Vela-Arevalo and S. Wiggins, "Time-frequency analysis of classical trajectories of Polyatomic molecules" Int. J. Bifurcat. Chaos 22 No.5, p. 1359-1380, 2001. PDF here

• E. Perez-Chavela and L.V. Vela-Arevalo, "Triple collision in the quasihomogeneous collinear three body problem", J. Differential Eq. 148 , p. 186-211, 1998. PDF here

• Joaquin Delgado and L.V. Vela-Arevalo, "The planar circular restricted three body problem" (in Spanish) Aportaciones Matematicas, Comunicaciones 13 , p. 15-62, 1993.

Visit my GaTech-Center for Nonlinear Science webpage. CNS