(Photo courtesy of Thaned Rojsiraphisal)

Research

Research in physical applied mathematics, motivated by real world problems is central to my investigations. Methods employed involve modeling physical systems in terms of partial and ordinary differential equations and then analyzing these equations with asymptotic, analytic, and numerical methods. Whenever possible, comparisons with experiment are carried out. Current mathematical results have direct application to Bose-Einstein condensation, nonlinear optics, and nano-scale magnetics.

Please find my cv here .

Publications

  • Theory of Magnetodynamics Induced by Spin Torque in Perpendicularly Magnetized Thin Films, M. A. Hoefer, M. J. Ablowitz, B. Ilan, M. R. Pufall, and T. J. Silva, Physical Review Letters 95, 267206 (2005) (get it here).
  • Ph.D. Thesis: Dispersive Shock Waves in Bose-Einstein Condensates and Nonlinear Nano-oscillators in Ferromagnetic Thin Films, M. A. Hoefer (5/2006). (get it here).
  • Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics, M. A. Hoefer, M. J. Ablowitz, I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhard, Physical Review A, 74, 023623 (2006). (get it here)
  • Observation of Faraday Waves in a Bose-Einstein Condensate, P. Engels, C. Atherton, and M. A. Hoefer, Physical Review Letters, 98, 095301 (2007). (get it here)
  • Interactions of Dispersive Shock Waves, M. A. Hoefer and M. J. Ablowitz, Physica D, 237, 44-64 (2007). (get a preprint here)
  • The Piston Dispersive Shock Wave Problem, M. A. Hoefer, M. J. Ablowitz, and P. Engels, arXiv:0710.2634v1 [nlin.PS], submitted to Physical Review Letters. (get it here)
  • Collimated Spin Wave Beam Generated by a Single Layer, Spin Torque Nanocontact, M. A. Hoefer, T. J. Silva, and M. D. Stiles, arXiv:0710.2890v2 [cond-mat.mtrl-sci]. (get it here)
  • Numerical Method for the Dynamics of Single Layer, Spin Torque, Nanocontacts, M. A. Hoefer and T. J. Silva, in preparation.
  • Spin Momentum Transfer and Oersted Field Induce a Vortex Nano-Oscillator in Thin Ferromagnetic Film Devices, M. A. Hoefer and T. J. Silva, cond-mat/0609030. (get it here)

Talks

  • Dispersive and Classical Shock Waves I, CU Boulder, February 14, 2006. (abstract, slides, video)
  • Dispersive and Classical Shock Waves II, CU Boulder, February 21, 2006. (abstract, slides, video)
  • Interactions of Dispersive Shock Waves, CU Boulder, March 1, 2006. (abstract, slides, video)

Animations

The following animations require the latest version of Quicktime.
  • Numerical simulation of 3D in-trap BEC experiments here. This animation depicts the density of a BEC as viewed along the axial direction. A trapped BEC has a laser pulsed through its center. Afterward the BEC is allowed to expand. The oscillatory rings are generated by dispersive shock waves (DSWs) as explained in our pre-print.
  • Numerical simulation of 3D out of trap BEC experiments here. Here, the BEC density, as viewed from above, evolves out of trap with a laser pulsed after a short period of expansion. Notice that the oscillations develop on the outside of the high density ring. These rings were generated by the interaction of two dispersive shock waves (DSWs) as shown in our pre-print.
  • Numerical simulation of a spin-torque induced nano-oscillator in a point contact here. This nano-oscillator depicts spin waves radiating from the center of a point contact in a ferromagnetic multilayer as explained in PRL 95, 267206 (2005).