Christopher K. King
Assistant Professor
Department of Mathematics
Northeastern University
E-mail: king at neu.edu
Research Summary

Professor King was born in Dublin, Ireland where he studied mathematics and physics at Trinity College. After receiving his Ph.D. in Physics from Harvard University, he spent time at Princeton University (Physics) and Cornell University (Mathematics) before coming to Northeastern University in 1991.

In his research Professor King uses mathematics to study rigorously the properties of models in quantum mechanics, quantum field theory and statistical mechanics. Examples include phase transitions in lattice gauge theories and lattice statistical mechanics models, and resonances of atomic systems. In addition, he has pursed some of the connections between statistical mechanics in two dimensions and the topology of knots and links.

Current projects include: dynamical stability of a neutral atom near a wire carrying an oscillating charge; two-dimensional quantum Yang-Mills theory and the symplectic geometry of moduli spaces; phase transitions in lattice models of oriented polymers; resonances for an atom in the quantised radiation field.

Recent Publications
  • "Multiplicativity of Accessible Fidelity and Quantumness for Sets of Quantum States " K.M.R. Audenaert, C.A. Fuchs, C. King A. Winter. Quantum Information and Computation 4, No. 1, 1-11, (2004).
  • "Inequalities for trace norms of 2x2 block matrices" C. King. Communications in Mathematical Physics vol. 242, 531--545 (2003)
  • "Minimal Entropy of States Emerging from Noisy Quantum Channels", C. King, M. B. Ruskai. revised: 25 Jan 2000.
  • "Sharp phase boundaries for a lattice flux line model", C. Borgs, J. T. Chayes, C. King and N. Madras. Journal of Statistical Physics, 98, nos. 5/6, (2000) 1075 -- 1113.
  • "Anisotropic self-avoiding walks", C. Borgs, J. T. Chayes, C. King and N. Madras. Journal of Mathematical Physics, 41, no. 3, (2000) 1321 -- 1337.
  • "2D Potts model and annular partitions", C. King. Journal of Statistical Physics 96, no. 5--6, (1999) 1071 -- 1089.