Queen's University Department of Mathematics and Statistics
Images used in this web site Copyright © University of Minnesota Geometry Center

Joseph F. Johnson

Assistant Professor

B.S., Haverford College, 1977.
Ph.D., M.I.T., 1983

Email: you may send e-mail
Office: 518 Jeffery Hall
Phone: (613) 533-2427
Fax: (613) 533-2964

Research Interests

My research interests are in the foundations of physical probability. I use statistical concepts such as the auto-correlation of a time series to define probability in terms of physically more basic concepts.

This led to a publication on the problem in the axiomatics of Quantum Mechanics which Wigner called Quantum Duality, although it is now more usually called Quantum Measurement.


The simplest rigorous, non-circular proof that d(cos x) = - sin x at the Math Department .


An interesting list of papers on this hot topic of Quantum Information, maintained by the Italian national research centre on Quantum Computers.


A notebook of to-do articles and topics of a Quantum Statistician at Michigan.


Selected Publications

  • Lie Algebra Cohomology and the Resolution of Certain Harish-Chandra Modules, Mathematische Annalen, vol. 267 (1984), pp. 377-393
  • Endoscopic groups and stable packets of certain derived Functor Modules, with Jeffrey Adams in: The Selberg Trace Formula and Related Topics, Hejhal, Sarnak, and Terras, eds., Contemporary Mathematics vol. 53 (1986), pp. 1-10
  • Endoscopic Groups and Packets of non-Tempered Representations, with Jeffrey Adams, Compositio Mathematica, vol. 64 (1987), pp. 271-309
  • Stable Base Change C/R of Certain Derived Functor Modules, Mathematische Annalen, vol. 287 (1990), pp. 467-493
  • Character Identities between Different Real Reductive Lie Groups, Accepted, Advances in Mathematics
  • Galois-twisted Euler--Poincare Characteristics of Complex Algebraic Groups, Crelle's Journal, vol. 568 (2004), pp. 1-22.
  • Thermo-dynamic Limits, Quantum Entanglement, and Non-Commutative Probability, in, Quantum Theory and Symmetries III, edited by Argyres et al., Singapore, 2004, pp. 133-143.
  • Statistical Mechanics of Amplifying Apparatus , in, Proc. VIII Internat. Wigner Symposium, NYC 2003, edited by Catto and Nicolescu, to appear.

"La Teorí­a Económica y La Justicia Social"


Presentación del libro.

capí­tulos muestros

Version parcial

Outline of undergraduate Ordinary Differential Equations.

Revision of Lo Social

P. Cavalieri was a pupil of Galileo's and used his ideas to publish a textook on Integral Calculus.

Himno: Hasta Siempre.