Ph.D. in Mathematics, August 2007.

Rensselaer Polytechnic Institute
Mathematical Sciences Dept.

Curriculum Vitae

Dissertation

Trapped Slender Vortex Filaments in Statistical Equilibrium

Successfully defended with no revisions on 14 May 2007

Papers

• Negative Specific Heat in a Quasi-2D Generalized Vorticity Model,
  Andersen, T. D. and Lim, C. C., Physical Review Letters, vol. 99, no. 165001, Oct. 2007.
• Explicit mean-field radius for nearly parallel vortex filaments in statistical equilibrium with applications to deep ocean convection
  Andersen, T. D. and Lim, C. C., Geophysical and Astrophysical Fluid Dynamics, vol. 102, no. 3, pp. 265-280, Jun. 2008.
• A length scale formula for confined Quasi-2D plasmas,
  Andersen, T. D. and Lim, C. C., J. Plasma Physics, vol. 75, no. 4, pp. 437-454, 2009.

Talks

Currently Working On

• Exact solutions of log-particle systems such as the 1 component, 2D Coulomb plasma.
  
• Mathematical solutions to quantum gravity (renormalization)
  
• A book on vortex statistics with (former) adviser Chjan Lim

Research Interests

• Exact solutions to statistical ensembles.
• Functional and high dimensional integration.
• Yang-Mills theory (functional integration approaches beyond Feynman diagrams)
  
• Feynman-Kac path integral approaches to vortex filaments, plasmas, and biochemical electrostatics.

Teaching

• Adjunct Assistant Professor, MATH 162M, "Precalculus I", Old Dominion University, Spring 2011
  
• Teaching Assistant, MATH 1620, Spring 2007

Links

• Advisor, Chjan C. Lim, where there are details about his, my co-student Ding
  Xueru's, and my research.
• Tamer Elbatt's page with whom I had such rewarding collaborations at HRL Laboratories.
• RAND Corporation where I spent the Summer of 2005 working with a great group of
  people, notably my mentor Chris Pernin.
• Former HRL manager Bo Ryu's bio at his new company, SDRC, Inc. A wonderful
  mentor when I was working in industrial research.
• Senior Thesis Advisor's page at UT-Austin, Risto Miikkulainen
• The new page of Ken Stanley who was a great help in introducing me to genetic
  algorithms

Updated 11 October 2011.