Prof. Dr. Max Horn
AG Algebra
Mathematisches Institut
JustusLiebigUniversität Gießen
Arndtstrasse 2
35392 Giessen
Office: 213
Phone: +49 (641) 9932044
Fax: +49 (641) 9932049
Email: FIRSTNAME.LASTNAME [at] math.unigiessen.de
Current
 GAP Days 2014, a meeting for GAP developers (Aachen, August 2529).
 Informationen zum Wahlfach Algebra, JLU Gießen WS 2013/14
Research Interests
 Geometry: Tits buildings, automorphisms, involutions, flips
 Groups: Algebraic groups, amalgams, KacMoody groups, groups of lie type
 Computer algebra with focus on algorithmic 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 KacMoody groups.
TU Darmstadt
Supervised by Ralf Gramlich.
Publications

The complete Phantype theorem for $Sp(2n,q)$J. Group Theory 9 (2006) 603–626

Odddimensional orthogonal groups as amalgams of unitary groups. Part 2: machine computationsJ. Algebra 316 (2007) 591–607

On the Phan system of the Schur cover of $SU(4,3^2)$Designs, Codes and Cryptography 47 (2008) 243–247

Intransitive geometries and fused amalgamsJ. Group Theory 11 (2008) 443–464

Iwasawa decompositions of split KacMoody groupsJ. Lie Theory 19 (2009) 311–337

Abstract involutions of algebraic groups and of KacMoody groupsJ. Group Theory 14 (2011) 213–249

Lie algebras and 3transpositionsJ. Algebra 368 (2012) 21–39

Schur multipliers and the Lazard correspondenceArchiv der Mathematik 99 (2012) 217–226

The construction of finite solvable groups revisitedJ. Algebra 408 (2014) 166–182

Second cohomology of Lie rings and the Schur multiplierIntl. J. Group Theory 3 (2014) 9–20

Simple Connectivity in Polar Spacessubmitted

Generalized spin representations. Part 2: CartanBott periodicity for the split real $E_n$ seriessubmitted
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"
Nikolauskonferenz 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
"Nonstandard geometric covering theory"
Buildings 2007 (Uni Münster, Germany) 
July 19, 2008
"Involutionen von algebraischen und KacMoody Gruppen"
Norddeutsches Gruppentheoriekolloquium 2008 (Uni Kiel, Germany) 
September 30, 2008
"Involutions of algebraic and KacMoody groups"
Buildings 2008 (Uni Münster, Germany) 
November 16, 2008
"Involutions of algebraic and KacMoody groups"
MiniWorkshop: Symmetric Varieties and Involutions of Algebraic Groups (Oberwolfach, Germany) 
July 19, 2009
"The geometry of involutions of algebraic groups and of KacMoody groups"
International Workshop on Algebraic Groups, Quantum Groups and Related Topics (Peking University, China) 
December 12, 2009
"Fischer Spaces and Lie Algebras"
Nikolauskonferenz 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) 
May 28, 2011
"Involutionen von Moufangpolygonen"
ReinholdBaerKolloquium (TU Braunschweig, Germany) 
August 2, 2011
"Polycyclic quotients and noncommutative Gröbner bases"
Conference on Group Theory (Harlaxton College, England) 
September 19, 2011
"Polyzyklische Quotienten und nichtkommutative Gröbnerbasen"
DMV Tagung 2011, Minisymposium "Algorithmische Algebra" (Uni Köln, Germany) 
April 12, 2012
"Double coset decompositions of KacMoody groups"
MiniWorkshop: Generalizations of Symmetric Spaces (Oberwolfach, Germany) 
May 10, 2012
"Computing Schur multipliers of pgroups and Lie rings"
Tagung der Fachgruppe Computeralgebra (Uni Kassel, Germany) 
March 18, 2013
"libsing: A new interface between GAP and Singular"
3. Jahrestagung DFGSchwerpunktprogramm 1489 (Uni Konstanz, Germany) 
March 21, 2013
"Constructing finite solvable groups"
3. Jahrestagung DFGSchwerpunktprogramm 1489 (Uni Konstanz, Germany) 
May 23, 2013
"Solvable Group Generation"
Questions, Algorithms, and Computations in Abstract Group Theory (TU Braunschweig, Germany) 
October 8, 2013
"Decompositions of KacMoody groups"
Buildings 2013 (Uni Münster, Germany) 
November 26, 2013
"Spin covers of "maximal compact" subgroups of real KacMoody groups"
Workshop "Generalizations of Symmetric Spaces" (Lorentz Center Leiden, Netherlands) 
March 6, 2014
"Symbolic computations with pgroups and Lie rings"
4. Jahrestagung DFGSchwerpunktprogramm 1489 (Bad Boll, Germany)
Talks at other universities

May 4, 2005
"Amalgame"
Uni Braunschweig, Germany 
February 10, 2009
"Involutions of KacMoody groups"
Cornell University, USA 
February 17, 2009
"Involutions of KacMoody groups"
MartinLutherUniversität HalleWittenberg, Germany 
February 20, 2009
"Unitary forms of KacMoody groups"
Cornell University, USA 
March 12, 2009
"Unitary forms of KacMoody groups"
Binghamton University, USA 
July 1, 2009
"The geometry of involutions of algebraic groups and of KacMoody groups"
TU Eindhoven, Netherlands 
January 14, 2010
"Fischer Spaces, 3transposition groups and Lie Algebras"
Leibniz Universität Hannover, Germany 
December 21, 2010
"Polyzyklische Quotienten und nichtkommutative Gröbnerbasen"
FriedrichSchillerUniversität Jena, Germany 
January 19, 2011
"Connectedness of flipflop systems"
Universiteit Gent, Belgium
Nonmathematical 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
 Seminar "Commutative Algebra and Algebraic Geometry" (SS 2006)
 MCS Introductory Course WS 2006/2007
 Seminar "Number Theory and Cryptography" (SS 2007)
 Seminar "Tits Buildings" (WS 2007/2008)
 Lecture "Gruppentheorie" (WS 2009/2010)
 Lecture "Algorithmische Gruppentheorie" (SS 2010)
 Lecture "Darstellungstheorie" (WS 2010/2011)
 Lecture "Computeralgebra" (WS 2011/2012), Exercises
 Lecture "Einführung in die Gruppentheorie" (WS 2012/2013), Exercises
 Lecture "Algorithmische Algebra" (SS 2013), Exercises
 Lecture "Lineare Algebra I" (WS 2013/2014), Exercises
 Seminar/Proseminar "Computeralgebra" (SS 2014), Announcement (german)
 Lecture "Algebra" (WS 2014/2015), Exercises
 Rechenkurs "Algebra mit GAP" (WS 2014/2015), Announcement (german), worksheets