Prof. Dr. Karl H. Hofmann

Office: S2|15 451
Phone: 06151 / 16-2588
Fax: 06151 / 16-6030
Email: hofmann [at] mathematik.tu-darmstadt.de

Vita (ps, pdf)

Editorial Work

Deputy Managing Editor: Journal of Lie Theory
Honorary Editor: Semigroup Forum
Editor: Research and Exposition in Mathematics, Heldermann Verlag

Recent Books

Gerhard Betsch, Karl H. Hofmann (eds.)
Hellmuth Kneser: Gesammelte Abhandlungen
Verlag Walter de Gruyter, Berlin, 2005, xvi+923 pages
Flyer: pdf
Gerhard Gierz, Karl H. Hofmann, Klaus Keimel, Jimmie D. Lawson, Michael W. Mislove, and Dana S. Scott
Continuous Lattices and Domains
Encyclopedia of Mathematics and its Applications 93
Cambridge University Press, 2003, xxxvi+591 pages
Karl H. Hofmann
Analysis I
An Introduction to Mathematics via Analysis
in English and German
Heldermann Verlag, 2000, xx+398 pages
Karl H. Hofmann, Sidney A. Morris
The Structure of Compact Groups
A Primer for the Student - A Handbook for the Expert.
de Gruyter Studies in Mathematics 25, Berlin, 2006, xvii+858 pages.
Flyer: pdf http://www.mathematik.tu-darmstadt.de/fbereiche/AlgGeoFA/staff/hofmann/comppreface.pdf
Table of contents: pdf
Preface: pdf
Karl H. Hofmann, Sidney A. Morris
The Lie Theory of Connected Pro-Lie Groups
A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups and Connected Locally Compact Groups
EMS Publishing House, Zürich, 2007, xvi+678 pages.
Flyer: pdf
Reviews: Mathematical Reviews (pdf), Zentralblatt MATH (pdf).

Recent Publications

Hofmann, K. H., and F. G. Russo,
Near abelian profinite groups, 38pp.,
Forum Math., to appear
Hofmann, K. H., and F. G. Russo,
The probability that $x^m$ and $y^n$ commute in a compact group,
11 pp., Bulletin of the Austrl. Math. Soc. (2012),
doi:10.1017/S000497271200057
Hofmann, K. H., and F. G. Russo,
The probability that x and y commute in a compact group,
Math. Proc. of the Cambridge Phil Soc. (2012),
doi:10.1017/S0305004112000308
Hofmann, K. H., Mislove, M. W.,
Compact Affine Monoids, Harmonic Analysis, and Information Theory,
Amer. Math. Soc. Symposia in Applied Math., 71, 2012, 125-182
Hernandez, S., K. H. Hofmann, and Morris, S. A.,
The weights of closed subgroups of a locally compact group,
J. of Group Theory, to appear
Hofmann, K. H., and J. R. Martin,
Topological Left-Loops,
Topology Proceedings 39 (2012), 185-194,
PDF (for subscribers)
Hofmann, K. H. and Morris, S. A.,
Compact Homeomorphism Groups are Profinite,
Topology and its Applications 9 (2012), 2453–2462
doi:10.1016/j.topol.2011.09.050
Hofmann, K. H., Morris, S. A.,
The structure of almost connected pro-Lie groups,
J. of Lie Theory 21 (2011), 347-383,
PDF (for subscribers)
Hofmann, K. H.,
The Dauns-Hofmann Theorem revisited,
J. of Algebra and its Applications 10 (2011), 29-37,
doi:10.1142/S0219498811004409
Hofmann, K. H., and Morris, S. A.,
Local Splitting of Locally Compact Groups and Pro-Lie Groups,
J. of Group Theory 14 (2011), 931-935,
doi:10.1515/jgt.2011.090
Hofmann, K. H., Neeb, K.-H.,
On the compact generation of closed subgroups of locally compact groups
J. Group Theory 12 (2009), 555-559,
doi:10.1515/JGT.2008.096

Art, Essays and Mathematics

Cover of the AMS Notices
October 2010

Various Posters

A collection of various posters

Posters for Lectures in the Mathematical Colloquium

A collection of some older Colloquium posters has been published as a book:

Karl H. Hofmann
Poster Cartoons 1983-1998 - Plakate aus 15 Jahren
TU Darmstadt University Press, 1998 xxii+128 pp.

Various Essays since 2001


Cover of the AMS Notices October 2006	Cover of the IEEE Signal Processing Magazine July 2007

Books Illustrated

Borwein, Jonathan and Keith Devlin
The Computer as Crucible - An Introduction to Experimental Mathematics
A. K. Peters, Ltd. Wellesley, Massachusetts, 2009, xi+158 pp.,ISBN 978-1-56881-343-1
18 Illustrations, Cover and Backcover designs.
Leith Hathout
Crimes And Mathdemeanors
A. K. Peters Ltd
Paperback Edition 2007, ISBN 1-56881-260-4, 150 pp.
M. Aigner and G. M. Ziegler
Proofs from the Book
Springer-Verlag Berlin etc., 1998, viii+199pp.
Second Edition 2001, viii+215 pp.
German Translation 2002: Das BUCH der Beweise, 2002 viii+247 pp.
Japanese Translation, 2002, xiii+314 pp.
Third Edition 2003, viii+239 pp.
Turkish Edition 2009, 263 pp.
Fourth Edition 2009, xiii+274 pp.
I. Bajo and E. Sanmartin, Eds.
Recent Advances in Lie Theory
R&E in Mathematics 25, 2002, xiii+398 pp.
Illustrationen: 1, 262, 263, 393.
Hans Magnus Enzensberger
Zugbrücke außer Betrieb / Drawbridge up
Die Mathematik im Jenseits der Kultur / A Cultural Anathema
A. K. Peters, Natick, Massachusetts, USA, 1999, 48 pp.
Hardcopy Edition 2001, ISBN 1-56881-156-X, 48 pp.
Japanese Edition 2003, ISBN 4-535-78351-9, 75 pp.