Alexander J. Hahn
B.S., Loyola University of Los Angeles, 1965
M.S., University of Notre Dame, 1968
Ph.D., University of Notre Dame, 1970
Office: 238 Hayes-Healy
Phone: (574) 631-6459
Fax: (574) 631-6579
1982-83 Visiting Professor at the University of California at Santa Barbara
1984-present University of Notre Dame, Professor
1987-88 Visiting Professor at the University of Innsbruck, Innsbruck, Austria
1992-93 Guest Professor at the University of Innsbruck
1996-2000 Chair, Department of Mathematics, University of Notre Dame
2000-2014 Director, Glynn Family Honors Program, University of Notre Dame
2002-2009 Director, Kaneb Center for Teaching and Learning, University of Notre Dame
My research over the years has had a focus on the following algebraic concerns: Orthogonal groups and other classical matrix groups both over fields, integral domains and in number theoretic situations, and related structures such as Clifford algebras, Azumaya algebras, quadratic and hermitian forms and their Witt groups, and linear and hermitian K-Theory. My books in these fields are:
- A.J. Hahn and O.T. O’Meara, The Classical Groups and K-Theory, Grundlehren der Mathematik, Vol. 291, Springer-Verlag, Berlin and New York, 576 pp. of print, 1989.
- A.J. Hahn, Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups, UNIVERSITEXT Series, Springer-Verlag, Berlin and New York, 286 pp. of print, 1994.
In the last few years I have also become interested in the history of mathematics and science and have written:
- A. J. Hahn, The Pendulum Swings again: A Mathematical Reassessment of Galileo’s Experiments with Inclined Planes, Arch. Hist. Exact Sci. 56 (2002), 339-361.
My sense of the importance of the teaching of mathematics and the communication of mathematics stimulated the books:
- A. J. Hahn, Basic Calculus: From Archimedes to Newton to its Role in Science, Texts in Mathematics, Springer-Verlag, New York, 1998. Translated into Japanese in two volumes by Kano Satoru, Department of Physics, Hosei University, Tokyo: Volume 1, Basic Calculus: From Archimedes to Newton; Volume 2, Basic Calculus: Differential and Integral Calculus and Science, Springer-Verlag, Tokyo, 2001, 2002.
- A. J. Hahn, Mathematical Excursions to the World’s Great Buildings, Princeton University Press, 2012. Translated into Chinese by Posts & Telecom Press, 2013.
I have continued to pursue these themes with an edited volume and two book contracts that are nearing completion:
- Catesby Taliaferro, Rational Mechanics: The Classic Notre Dame Course, Alexander Hahn, Thomas Banchoff, Fred Crosson editors, Dover Books on Physics, Dover, 2014
- A. J. Hahn, Calculus in Context: Background, Basics, and Applications, for the Johns Hopkins University Press, to appear in March 2017,
- A. J. Hahn, Basic Calculus of Planetary Orbits and Interplanetary Flight, for Springer-Verlag.
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