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,
  Third Edition 2013, Revised and Augmented, xxii + 924pp.
  Flyer: 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

• Oskar Braun, Karl H., and Linus Kramer,
  Automatic Continuity of Algebraic Homomorphisms between locally compact groups,
  33 pp., in preparation
• Wolfgang Herfort, Karl H., and Francesco Russo,
  A Study in Locally Compact Groups-Chabauty space, Sylow Theory, the Schur Zassenhaus formalism, the Prime Graph for Near Abelian Groups,
  Communications on Stochastic Analysis 4 (2016), 515-540.
• Hatem Hamrouni and Karl H.,
  Locally compact groups approximable by subgroups ismorphic to Z,
  Top. Appl. 215 (2017), 1-20
• Wolfgang Herfort, Karl H.,  and Francesco Russo,
  Near abelian locally compact groups,
  Monograph in preparation, 197pp.
• Hofmann, Karl H., and J. R. Martin,
  Covering Space Semigroups and Retracts of Compact Lie Groups
  J. of Geometry 107 (2016), 427-439
• Hofmann, Karl H., and S. A. Morris,
  Pro-Lie Groups: A Survey with Open Problems,
  Axioms 4 (2015), 294-312.
• Salvador Hernández, Karl H. Hofmann, and Sidney A. Morris,
  Nonmeasurable  subgroups of compact groups,
  J. of Group Theory 19 (2015), 179-189.
• Hofmann, Karl H. and George A. Willis,
  Continuity Characterizing Totally Disconnected Locally Compacted Groups,
  J. of Lie Theory 25 (2015), 1-7.
• Hofmann, Karl H., and John R. Martin,
  Möbius Manifolds, Monoids, and Retracts of Topological Groups,
  Semigroup Forum 90 (2014), 301-361. 
• Hofmann, Karl H., and John R. Martin,
  Retracts of Topological Groups and Compact Monoids,
  Topology Proceedings 43 (2014), 57-67.
  PDF (for subsribers)
• Hofmann, Karl H. and L. Kramer,
  Transitive actions of locally compact groups on locally contractible spaces,
  J. reine angew. Math. 702 (2015), 227-243.
  doi:10.1515/crelle-2013-0036
  and Erratum, J. Reine Angew. Math. 702 (2015), 245-246.
• Hofmann, Karl H. and Francesco G. Russo,
  Near abelian profinite groups,
  Forum Mathematicum 27 (2015), 647-698. 
• Hofmann, Karl H., and Francesco G. Russo,
  The probability that x^m and yⁿ commute in a compact group, 
  Bulletin of the Austral. Math. Soc. 87 (2012), 503-513. 
  doi:10.1017/S000497271200057
• Hofmann, Karl H., and Francesco G. Russo, 
  The probability that x and y commute in a compact group,
  Math. Proc. of the Cambridge Phil Soc. 153 (2012), 557-571,
  doi:10.1017/S0305004112000308
• Hofmann, Karl H., Mislove, M. W.,
  Compact Affine Monoids, Harmonic Analysis, and Information Theory,
  Amer. Math. Soc. Symposia in Applied Math., 71, 2012, 125-182
• Hernández, S., Karl H. Hofmann, and S. A. Morris,
  The weights of closed subgroups of a locally compact group,
  J. of Group Theory 15 (2014), 613-630.
• Hofmann, Karl H., and J. R. Martin,
  Topological Left-Loops,
  Topology Proceedings 39 (2012), 185-194,
  PDF (for subscribers)
• Hofmann, Karl 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, Karl H., Morris, S. A.,
  The structure of almost connected pro-Lie groups, 
  J. of Lie Theory 21 (2011), 347-383,
  PDF (for subscribers)
• Hofmann, Karl H.,
  The Dauns-Hofmann Theorem revisited,
  J. of Algebra and its Applications 10 (2011), 29-37,
  doi:10.1142/S0219498811004409
• Hofmann, Karl 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

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

Cover of the AMS Notices October 2011	Cover of "MU - Der Mathematikunterricht" December 2015

Books Illustrated

Australian Pen and Watercolor Diaries

• Karl H. Hofmann
  The Adelaide Diary 2000-2001
  59 Watercolor Sketches.

• Karl H. Hofmann
  The Ballarat Diary 2002-2003
  45 Watercolor Sketches.