Stephen J. Summers

NAME:Stephen J. Summers
MAILING ADDRESS: University of Florida
Department of Mathematics
358 Little Hall
PO BOX 118105
Gainesville, FL 32611-8105
OFFICE:456 Little Hall
PHONE:(352) 392-0281 ext.278
FAX:(352) 392-8357
E-MAIL: sjs (at) ufl (dot) edu




The Book of Nature is written in the language of mathematics.
Galileo Galilei, 1623        


Research Interests

  • I am a mathematical physicist. My research is primarily in quantum theory, with an emphasis on algebraic quantum field theory. This involves using operator algebra theory, among other mathematical tools, to address conceptual and mathematical problems in quantum field theory, which itself seeks to describe the fundamental constituents of matter and their laws of interaction. Immediate side interests are probability theory and geometry, on the one hand, and the history and philosophy of science, particularly physics, on the other.


    • Current Courses (Spring, 2013)

  • MAP 2302 - Elementary Ordinary Differential Equations --- Further information HERE .
  • MAS 4301 - Abstract Algebra 1 --- Further information HERE.


    • Some Previous Courses

  • MAC 2312 - Calculus 2 --- Further information HERE .
  • MAC 2313 - Calculus 3 --- Further information HERE .
  • MAS 3300 - Numbers and Polynomials --- Further information HERE.
  • MAC 3472 - Honors Calculus 1 --- Further information HERE.
  • MAC 3473 - Honors Calculus 2 --- Further information HERE.
  • MAC 3474 - Honors Calculus 3 --- Further information HERE.
  • MAS 4105 - Linear Algebra 1 --- Further information HERE.
  • MAS 4107 - Linear Algebra 2 --- Further information HERE.
  • MAA 4211 - Advanced Calculus 1 --- Further information HERE.
  • MAA 4212 - Advanced Calculus 2 --- Further information HERE.
  • MAA 4226/5228 - Modern Analysis 1 --- Further information HERE.
  • MAA 4227/5229 - Modern Analysis 2 --- Further information HERE.
  • MTG 4302/5316 and MTG 4303/5317 - Introduction to Topology, 1 and 2 --- Further information HERE.
  • MAP 4305/5304 - Intermediate Differential Equations --- Further information HERE.
  • MAP 4402/5404 - Introduction to Complex Variables --- Further information HERE.
  • MAP 4413 - Fourier Series and Transforms --- Further information HERE .
  • MAA 6406 - Complex Analysis 1 --- Further information HERE.
  • MAA 6407 - Complex Analysis 2 --- Further information HERE.
  • MAP 6472 - Probability and Potential Theory --- Further information HERE .
  • MAA 6616 - Theory of Measure and Integration 1 --- Further information HERE .
  • MAA 6617 - Theory of Measure and Integration 2 --- Further information HERE .
  • MAA 7527 - Special Topics in Functional Analysis: Noncommutative Dynamical Systems --- Further information HERE.


    • Previous Doctoral Students

  • Martin Florig - Ph.D. awarded May, 1999
  • Richard White - Ph.D. awarded May, 2001
  • Robert Strich - Ph.D. awarded December, 2007
  • Jan Gregus - Ph.D. awarded August, 2012



    • Also for Students

  • HERE is the Home Page of the Young Mathematicians' Network.

  • HERE is the PhDs.Org Science, Math and Engineering Career page, with links to information about careers (also nonacademic careers) for Ph.D.'s.

  • HERE is an introduction to relativity theory by Rob Salgado at the University of Syracuse.

  • HERE is a site concerning quantum computation.

  • HERE is the site "Mathematician of the Day" - a site containing history and biographies of mathematical scientists.


    • Publication List With Abstracts

  • HERE

    (the more recent are provided with DVI- and PS-files)


    • Curriculum Vitae

  • HERE



    • Links of Interest


    Mathematical (Quantum) Physics
  • Algebraic Quantum Field Theory at DESY
  • Mathematical Physics in Göttingen
  • Schrödinger Institute for Mathematical Physics in Vienna
  • Mathematical Physics in Stockholm
  • Mathematical Physics in Adelaide
  • Mathematical Physics in Austin
  • Mathematical Physics in Berlin
  • Mathematical Physics in Braunschweig
  • Mathematical Physics Preprint Archive - Austin
  • Mathematical Physics Preprint Archive - Los Alamos
  • Local Quantum Physics Preprint Archive - Göttingen

    • Functional Analysis and Operator Algebra Theory
  • Functional Analysis Preprint Archive
  • Operator Algebras Preprint Archive
  • Operator Algebra Page (including further links)

    • Theoretical Quantum Physics
  • Quantum Physics Preprint Archive
  • High Energy Physics Preprint Archive
  • Condensed Matter Physics Preprint Archive
  • General Relativity and Quantum Cosmology Preprint Archive

    • Philosophy of Science
  • Philosophy of Science Preprint Archive


    • 2000 Mathematics Subject Classification

    Mathematical Resources on the Web


    University of Florida Mathematics Department Home Page





    Last updated on December 18, 2012



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