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



Current



Research Interests



Past projects



Publications

  1. Ralf Gramlich, Max Horn, Werner Nickel
    The complete Phan-type theorem for $Sp(2n,q)$
    J. Group Theory 9 (2006) 603–626
    PDFDOI
  2. 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
  3. Max Horn
    On the Phan system of the Schur cover of $SU(4,3^2)$
    Designs, Codes and Cryptography 47 (2008) 243–247
    PDFDOI
  4. Ralf Gramlich, Max Horn, Antonio Pasini, Hendrik Van Maldeghem
    Intransitive geometries and fused amalgams
    J. Group Theory 11 (2008) 443–464
  5. Tom De Medts, Ralf Gramlich, Max Horn
    Iwasawa decompositions of split Kac-Moody groups
    J. Lie Theory 19 (2009) 311–337
  6. Ralf Gramlich, Max Horn, Bernhard Mühlherr
    Abstract involutions of algebraic groups and of Kac-Moody groups
    J. Group Theory 14 (2011) 213–249
    arXivDOI
  7. Hans Cuypers, Max Horn, Jos in 't panhuis, Sergey Shpectorov
    Lie algebras and 3-transpositions
    J. Algebra 368 (2012) 21–39
  8. Bettina Eick, Max Horn, Seiran Zandi
    Schur multipliers and the Lazard correspondence
    Archiv der Mathematik 99 (2012) 217–226
    DOI
  9. Bettina Eick, Max Horn
    The construction of finite solvable groups revisited
    J. Algebra 408 (2014) 166–182
    arXivDOI
  10. Max Horn, Seiran Zandi
    Second cohomology of Lie rings and the Schur multiplier
    Intl. J. Group Theory 3 (2014) 9–20
  11. Max Horn, Reed Nessler, Hendrik Van Maldeghem
    Simple Connectivity in Polar Spaces
    submitted
  12. Max Horn, Ralf Köhl
    Generalized spin representations. Part 2: Cartan-Bott periodicity for the split real $E_n$ series
    submitted


Conference proceedings

  1. 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

  1. December 11, 2004
    "Computations with geometric amalgams"
    Nikolauskonferenz 2004 (RWTH Aachen, Germany)
  2. June 16, 2005
    "Computations with amalgams of unitary groups"
    2nd Joint Meeting of AMS, DMV, OeMG (Uni Mainz, Germany)
  3. September 14, 2006
    "Phan amalgams"
    Finite Geometries, Second Irsee Conference (Kloster Irsee, Germany)
  4. October 10, 2006
    "Flips of algebraic groups"
    Buildings 2006 (Uni Münster, Germany)
  5. October 11, 2007
    "Non-standard geometric covering theory"
    Buildings 2007 (Uni Münster, Germany)
  6. July 19, 2008
    "Involutionen von algebraischen und Kac-Moody Gruppen"
    Norddeutsches Gruppentheoriekolloquium 2008 (Uni Kiel, Germany)
  7. September 30, 2008
    "Involutions of algebraic and Kac-Moody groups"
    Buildings 2008 (Uni Münster, Germany)
  8. November 16, 2008
    "Involutions of algebraic and Kac-Moody groups"
    Mini-Workshop: Symmetric Varieties and Involutions of Algebraic Groups (Oberwolfach, Germany)
  9. 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, China)
  10. December 12, 2009
    "Fischer Spaces and Lie Algebras"
    Nikolauskonferenz 2009 (RWTH Aachen, Germany)
  11. June 26, 2010
    "Computing polycyclic quotients of finitely (L-)presented groups"
    ACA 2010 (University of Vlora, Albania)
  12. September 16, 2010
    "Computing polycyclic quotients of finitely (L-)presented groups via Gröbner bases"
    ICMS 2010 (Kobe University, Japan)
  13. October 6, 2010
    "From Fischer spaces to (Lie) algebras"
    Buildings 2010 (Uni Münster, Germany)
  14. May 28, 2011
    "Involutionen von Moufangpolygonen"
    Reinhold-Baer-Kolloquium (TU Braunschweig, Germany)
  15. August 2, 2011
    "Polycyclic quotients and non-commutative Gröbner bases"
    Conference on Group Theory (Harlaxton College, England)
  16. September 19, 2011
    "Polyzyklische Quotienten und nicht-kommutative Gröbnerbasen"
    DMV Tagung 2011, Minisymposium "Algorithmische Algebra" (Uni Köln, Germany)
  17. April 12, 2012
    "Double coset decompositions of Kac-Moody groups"
    Mini-Workshop: Generalizations of Symmetric Spaces (Oberwolfach, Germany)
  18. May 10, 2012
    "Computing Schur multipliers of p-groups and Lie rings"
    Tagung der Fachgruppe Computeralgebra (Uni Kassel, Germany)
  19. March 18, 2013
    "libsing: A new interface between GAP and Singular"
    3. Jahrestagung DFG-Schwerpunktprogramm 1489 (Uni Konstanz, Germany)
  20. March 21, 2013
    "Constructing finite solvable groups"
    3. Jahrestagung DFG-Schwerpunktprogramm 1489 (Uni Konstanz, Germany)
  21. May 23, 2013
    "Solvable Group Generation"
    Questions, Algorithms, and Computations in Abstract Group Theory (TU Braunschweig, Germany)
  22. October 8, 2013
    "Decompositions of Kac-Moody groups"
    Buildings 2013 (Uni Münster, Germany)
  23. November 26, 2013
    "Spin covers of "maximal compact" subgroups of real Kac-Moody groups"
    Workshop "Generalizations of Symmetric Spaces" (Lorentz Center Leiden, Netherlands)
  24. March 6, 2014
    "Symbolic computations with p-groups and Lie rings"
    4. Jahrestagung DFG-Schwerpunktprogramm 1489 (Bad Boll, Germany)


Talks at other universities

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


Non-mathematical talks

  1. 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

  1. Seminar "Commutative Algebra and Algebraic Geometry" (SS 2006)
  2. MCS Introductory Course WS 2006/2007
  3. Seminar "Number Theory and Cryptography" (SS 2007)
  4. Seminar "Tits Buildings" (WS 2007/2008)
  5. Lecture "Gruppentheorie" (WS 2009/2010)
  6. Lecture "Algorithmische Gruppentheorie" (SS 2010)
  7. Lecture "Darstellungstheorie" (WS 2010/2011)
  8. Lecture "Computeralgebra" (WS 2011/2012), Exercises
  9. Lecture "Einführung in die Gruppentheorie" (WS 2012/2013), Exercises
  10. Lecture "Algorithmische Algebra" (SS 2013), Exercises
  11. Lecture "Lineare Algebra I" (WS 2013/2014), Exercises
  12. Seminar/Proseminar "Computeralgebra" (SS 2014), Announcement (german)
  13. Lecture "Algebra" (WS 2014/2015), Exercises
  14. Rechenkurs "Algebra mit GAP" (WS 2014/2015), Announcement (german)