Joseph F.
Johnson
Assistant
Professor
B.S., Haverford College, 1977.
Ph.D., M.I.T., 1983


Research
Interests
My research interests are in the foundations of physical probability.
I use statistical concepts such as the autocorrelation 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, noncircular 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 todo articles and topics of a Quantum Statistician at Michigan.
Selected
Publications
 Lie Algebra Cohomology and the Resolution of Certain HarishChandra
Modules, Mathematische Annalen, vol. 267 (1984), pp. 377393
 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. 110
 Endoscopic Groups and Packets of nonTempered Representations,
with Jeffrey Adams, Compositio Mathematica, vol. 64 (1987), pp.
271309
 Stable Base Change C/R of Certain Derived Functor Modules, Mathematische
Annalen, vol. 287 (1990), pp. 467493
 Character Identities between Different Real Reductive Lie Groups,
Accepted, Advances in Mathematics
 Galoistwisted EulerPoincare Characteristics of Complex Algebraic
Groups, Crelle's Journal, vol. 568 (2004), pp. 122.
 Thermodynamic Limits, Quantum Entanglement, and NonCommutative Probability, in, Quantum Theory and Symmetries III, edited by Argyres et al., Singapore, 2004, pp. 133143.
 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.
