Max' Total Web

Prof. Dr. Max Horn

AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstrasse 2
35392 Giessen

Office: 213
Phone: +49 (641) 99-32044
Fax: +49 (641) 99-32049
Email: FIRSTNAME.LASTNAME [at] math.uni-giessen.de

Research Interests

Geometry: Tits buildings, automorphisms, involutions, flips
Groups: Algebraic groups, amalgams, Kac-Moody groups, groups of lie type
Computer algebra with focus on group theory

Past projects

Master's thesis: Amalgams of unitary groups in Sp(2n,q).
TU Darmstadt (submitted version)
Supervised by Ralf Gramlich and Werner Nickel.
PhD Thesis: Involutions of Kac-Moody groups.
TU Darmstadt
Supervised by Ralf Gramlich.

Publications

Ralf Gramlich, Max Horn, Werner Nickel
The complete Phan-type theorem for Sp(2n,q)
J. Group Theory 9 (2006), 603–626.
Ralf Gramlich, Max Horn, Werner Nickel
Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 2: machine computations
J. Algebra 316 (2007), 591–607.
source code available
Max Horn
On the Phan system of the Schur cover of $SU(4,3^2)$
Designs, Codes and Cryptography 47 (2008) 243–247.
Ralf Gramlich, Max Horn, Antonio Pasini, Hendrik Van Maldeghem
Intransitive geometries and fused amalgams
J. Group Theory 11 (2008) 443–464.
arXiv version – source code available
Tom De Medts, Ralf Gramlich, Max Horn
Iwasawa decompositions of split Kac-Moody groups
J. Lie Theory 19 (2009), 311–337.
arXiv-Version
Ralf Gramlich, Max Horn, Bernhard Mühlherr
Abstract involutions of algebraic groups and of Kac-Moody groups
J. Group Theory 14 (2011), 213–249.
arXiv-Version
Hans Cuypers, Max Horn, Jos in 't panhuis, Sergey Shpectorov
Lie algebras and 3-transpositions
Journal of Algebra 368 (2012), 21–39.
arXiv-Version – source code available
Bettina Eick, Max Horn, Seiran Zandi
Schur multipliers and the Lazard correspondence
to appear in Archiv der Mathematik

Conference proceedings

Bettina Eick, Max Horn
Computing polycyclic quotients of finitely (L-)presented groups via Groebner bases
ICMS'10 Proceedings of the Third international congress conference on Mathematical software

Conference talks

December 11, 2004
"Computations with geometric amalgams"
Nikolaus Conference 2004 (RWTH Aachen, Germany)
June 16, 2005
"Computations with amalgams of unitary groups"
2nd Joint Meeting of AMS, DMV, OeMG (Uni Mainz, Germany)
September 14, 2006
"Phan amalgams"
Finite Geometries, Second Irsee Conference (Kloster Irsee, Germany)
October 10, 2006
"Flips of algebraic groups"
Buildings 2006 (Uni Münster, Germany)
October 11, 2007
"Non-standard geometric covering theory"
Buildings 2007 (Uni Münster, Germany)
July 19, 2008
"Involutionen von algebraischen und Kac-Moody Gruppen"
Norddeutsches Gruppentheoriekolloquium 2008 (Uni Kiel, Germany)
September 30, 2008
"Involutions of algebraic and Kac-Moody groups"
Buildings 2008 (Uni Münster, Germany)
November 16, 2008
"Involutions of algebraic and Kac-Moody groups"
Mini-Workshop: Symmetric Varieties and Involutions of Algebraic Groups (Oberwolfach, Germany)
July 19, 2009
"The geometry of involutions of algebraic groups and of Kac-Moody groups"
International Workshop on Algebraic Groups, Quantum Groups and Related Topics (Peking University, Beijing, China)
December 12, 2009
"Fischer Spaces and Lie Algebras"
Nikolaus Conference 2009 (RWTH Aachen, Germany)
June 26, 2010
"Computing polycyclic quotients of finitely (L-)presented groups"
ACA 2010 (University of Vlora, Albania)
September 16, 2010
"Computing polycyclic quotients of finitely (L-)presented groups via Gröbner bases"
ICMS 2010 (Kobe University, Japan)
October 6, 2010
"From Fischer spaces to (Lie) algebras"
Buildings 2010 (Uni Münster, Germany)
August 2, 2011
"Polycyclic quotients and non-commutative Gröbner bases"
Conference on Group Theory (Harlaxton College, England)
September 19, 2011
"Polyzyklische Quotienten und nicht-kommutative Gröbnerbasen"
DMV Tagung 2011, Minisymposium "Algorithmische Algebra" (Uni Köln, Germany)
April 12, 2012
"Double coset decompositions of Kac-Moody groups"
Mini-Workshop: Generalizations of Symmetric Spaces (Oberwolfach, Germany)
May 10, 2012
"Computing Schur multipliers of p-groups and Lie rings"
Tagung der Fachgruppe Computeralgebra (Uni Kassel, Germany)

Talks at other universities

Mai 4, 2005
"Amalgame"
Uni Braunschweig, Germany
February 10, 2009
"Involutions of Kac-Moody groups"
Cornell University, USA
February 17, 2009
"Involutions of Kac-Moody groups"
Martin-Luther-Universität Halle-Wittenberg, Germany
February 20, 2009
"Unitary forms of Kac-Moody groups"
Cornell University, USA
March 12, 2009
"Unitary forms of Kac-Moody groups"
Binghamton University, USA
July 1, 2009
"The geometry of involutions of algebraic groups and of Kac-Moody groups"
TU Eindhoven, Netherlands
January 14, 2010
"Fischer Spaces, 3-transposition groups and Lie Algebras"
Leibniz Universität Hannover, Germany
December 21, 2010
"Polyzyklische Quotienten und nicht-kommutative Gröbnerbasen"
Friedrich-Schiller-Universität Jena, Germany
January 19, 2011
"Connectedness of flip-flop systems"
Universiteit Gent, Belgium

Non-mathematical talks

August 31, 2011
"Benefits of open source development and open tools"
SICSA2011 Summer school "Advanced techniques in computer algebra systems development" (University of St Andrews, Scotland)

Teaching

Last update: 2012-10-16