Prof. Dr. Max Horn

AG Algebra, Geometrie und Computeralgebra (AGAG)
Fachbereich Mathematik
TU Kaiserslautern
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern

Gebäude 48, Raum 430
Telefon: +49 (631) 205-2730
E-Mail: NACHNAME [at] mathematik.uni-kl.de


Aktuelles


Forschungs- und Interessengebiete

Forschungsplan (englisch)


Frühere Projekte


Veröffentlichungen

  1. Ralf Gramlich, Max Horn, Werner Nickel
    The complete Phan-type theorem for $Sp(2n,q)$
    J. Group Theory 9 (2006), no. 5, 603–626
    PDF – DOI
  2. Ralf Gramlich, Max Horn, Werner Nickel
    Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 2: machine computations
    J. Algebra 316 (2007), no. 2, 591–607
    DOI – Programmcode
  3. Max Horn
    On the Phan system of the Schur cover of $SU(4,3^2)$
    Designs, Codes and Cryptography 47 (2008), 243–247
    PDF – DOI
  4. Ralf Gramlich, Max Horn, Antonio Pasini, Hendrik Van Maldeghem
    Intransitive geometries and fused amalgams
    J. Group Theory 11 (2008), 443–464
    arXiv – DOI – Programmcode
  5. Tom De Medts, Ralf Gramlich, Max Horn
    Iwasawa decompositions of split Kac-Moody groups
    J. Lie Theory 19 (2009), no. 2, 311–337
    arXiv – URL
  6. Ralf Gramlich, Max Horn, Bernhard Mühlherr
    Abstract involutions of algebraic groups and of Kac-Moody groups
    J. Group Theory 14 (2011), 213–249
    arXiv – DOI
  7. Hans Cuypers, Max Horn, Jos in 't panhuis, Sergey Shpectorov
    Lie algebras and 3-transpositions
    J. Algebra 368 (2012), 21–39
    arXiv – DOI – Programmcode
  8. Bettina Eick, Max Horn, Seiran Zandi
    Schur multipliers and the Lazard correspondence
    Archiv der Mathematik 99 (2012), no. 3, 217–226
    DOI
  9. Bettina Eick, Max Horn
    The construction of finite solvable groups revisited
    J. Algebra 408 (2014), 166–182
    arXiv – DOI
  10. Max Horn, Seiran Zandi
    Second cohomology of Lie rings and the Schur multiplier
    Intl. J. Group Theory 3 (2014), no. 2, 9–20
    arXiv – URL
  11. Max Horn, Ralf Köhl
    Cartan-Bott periodicity for the real $E_n$ series (appendix to "Generalized spin representations" by Guntram Hainke, Ralf Köhl, and Paul Levy)
    Münster J. of Math 8 (2015), 181–210
    arXiv – DOI – URL
  12. Max Horn, Reed Nessler, Hendrik Van Maldeghem
    Simple Connectivity in Polar Spaces
    Forum Mathematicum 28 (2015), no. 3, 491–505
    DOI – Programmcode
  13. Amir Farahmand Parsa, Max Horn, Ralf Köhl
    Isomorphisms and rigidity of arithmetic Kac-Moody groups
    J. Lie Theory 26 (2016), no. 2, 1079–1105
    URL
  14. Matthias Grüninger, Max Horn, Bernhard Mühlherr
    Moufang twin trees of prime order
    Adv. Math. 302 (2016), 1–24
    arXiv – DOI
  15. David Ghatei, Max Horn, Ralf Köhl, Sebastian Weiß
    Spin covers of maximal compact subgroups of Kac-Moody groups, and Spin-extended Weyl groups
    J. Group Theory 20 (2017), no. 3, 401–504
    arXiv – DOI
  16. Bettina Eick, Max Horn, Alexander Hulpke
    Constructing groups of ‘small’ order: Recent results and open problems
    Chapter in "Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory", Springer (2017), –
    PDF – DOI – URL
  17. Walter Freyn, Tobias Hartnick, Max Horn, Ralf Köhl
    Kac-Moody symmetric spaces
    Münster J. of Math 13 (2020), 1–114
    arXiv – DOI – URL
  18. Max Horn
    Decompositions of Kac-Moody groups
    in Vorbereitung
    arXiv

Beiträge in Tagungsbänden

  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

Andere (nicht referierte) Publikationen

  1. Mohamed Barakat, Max Horn, Frank Lübeck, Oleksandr Motsak, Max Neunhöffer, Hans Schönemann
    The GAP package SingularInterface.
    Computeralgebra-Rundbrief 55 (2014), 29–33
    PDF

Studenten


Konferenzvorträge

  1. 11. Dezember 2004
    "Computations with geometric amalgams"
    Nikolauskonferenz 2004 (RWTH Aachen)
  2. 16. Juni 2005
    "Computations with amalgams of unitary groups"
    2nd Joint Meeting of AMS, DMV, OeMG (Uni Mainz)
  3. 14. September 2006
    "Phan amalgams"
    Finite Geometries, Second Irsee Conference (Kloster Irsee)
  4. 10. Oktober 2006
    "Flips of algebraic groups"
    Buildings 2006 (Uni Münster)
  5. 11. Oktober 2007
    "Non-standard geometric covering theory"
    Buildings 2007 (Uni Münster)
  6. 19. Juli 2008
    "Involutionen von algebraischen und Kac-Moody Gruppen"
    Norddeutsches Gruppentheorie-Kolloquium 2008 (Uni Kiel)
  7. 30. September 2008
    "Involutions of algebraic and Kac-Moody groups"
    Buildings 2008 (Uni Münster)
  8. 16. November 2008
    "Involutions of algebraic and Kac-Moody groups"
    Mini-Workshop: Symmetric Varieties and Involutions of Algebraic Groups (Oberwolfach)
  9. 19. Juli 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. 12. Dezember 2009
    "Fischer Spaces and Lie Algebras"
    Nikolauskonferenz 2009 (RWTH Aachen)
  11. 26. Juni 2010
    "Computing polycyclic quotients of finitely (L-)presented groups"
    ACA 2010 (University of Vlora, Albanien)
  12. 16. September 2010
    "Computing polycyclic quotients of finitely (L-)presented groups via Gröbner bases"
    ICMS 2010 (Kobe University, Japan)
  13. 6. Oktober 2010
    "From Fischer spaces to (Lie) algebras"
    Buildings 2010 (Uni Münster)
  14. 28. Mai 2011
    "Involutionen von Moufangpolygonen"
    Reinhold-Baer-Kolloquium (TU Braunschweig)
  15. 2. August 2011
    "Polycyclic quotients and non-commutative Gröbner bases"
    Conference on Group Theory (Harlaxton College, England)
  16. 19. September 2011
    "Polyzyklische Quotienten und nicht-kommutative Gröbnerbasen"
    DMV Tagung 2011, Minisymposium "Algorithmische Algebra" (Uni Köln)
  17. 12. April 2012
    "Double coset decompositions of Kac-Moody groups"
    Mini-Workshop: Generalizations of Symmetric Spaces (Oberwolfach)
  18. 10. Mai 2012
    "Computing Schur multipliers of p-groups and Lie rings"
    Tagung der Fachgruppe Computeralgebra (Uni Kassel)
  19. 18. März 2013
    "libsing: A new interface between GAP and Singular"
    3. Jahrestagung DFG-Schwerpunktprogramm 1489 (Uni Konstanz)
  20. 21. März 2013
    "Constructing finite solvable groups"
    3. Jahrestagung DFG-Schwerpunktprogramm 1489 (Uni Konstanz)
  21. 23. Mai 2013
    "Solvable group generation"
    Questions, Algorithms, and Computations in Abstract Group Theory (TU Braunschweig)
  22. 8. Oktober 2013
    "Decompositions of Kac-Moody groups"
    Buildings 2013 (Uni Münster)
  23. 26. November 2013
    "Spin covers of "maximal compact" subgroups of real Kac-Moody groups"
    Workshop "Generalizations of Symmetric Spaces" (Lorentz Center Leiden, Niederlande)
  24. 6. März 2014
    "Symbolic computations with p-groups and Lie rings"
    4. Jahrestagung DFG-Schwerpunktprogramm 1489 (Bad Boll)
  25. 26. März 2014
    "Symbolic computations with p-groups and Lie rings"
    Workshop "Experimental Methods in Computational Algebra" (Uni Hannover)
  26. 16. Mai 2014
    "Solvable group generation"
    Tagung Fachgruppe Computeralgebra (Uni Kassel)
  27. 30. Mai 2014
    "Generalized spin groups"
    47th Seminar Sophus Lie (Schloß Rauischolzhausen)
  28. 12. Juli 2014
    "Generalized Spin groups"
    Norddeutsches Gruppentheorie-Kolloquium 2014 (Uni Bielefeld)
  29. 30. September 2014
    "Cartan-Bott periodicity for compact forms of Kac-Moody algebras of type $E_n$"
    Buildings 2014 (Uni Münster)
  30. 16. Februar 2015
    "Cartan-Bott periodicity for maximal compact subalgebras of real Kac-Moody algebras of type $E_n$"
    CoGrAl2015 (Uni Jena)
  31. 7. Mai 2015
    "Generalized spin representations"
    Groups and Geometries (Banff, Kanada, Kanada)
  32. 15. Mai 2015
    "The Normaliz interface of GAP"
    Normaliz Workshop (Uni Osnabrück)
  33. 22. Juni 2015
    "Generalized spin representations"
    Workshop on Generalizations of Symmetric Spaces (Nahsholim, Israel, Israel)
  34. 26. September 2017
    "Kac-Moody symmetric spaces"
    Buildings and Symmetry (University of Western Australia, )
  35. 20. Januar 2018
    "Kac-Moody symmetric spaces"
    Reinhold-Baer-Kolloquium (TU Braunschweig)

Gastvorträge an anderen Universitäten

  1. 4. Mai 2005
    "Amalgame"
    Uni Braunschweig
  2. 10. Februar 2009
    "Involutions of Kac-Moody groups"
    Cornell University, USA
  3. 17. Februar 2009
    "Involutions of Kac-Moody groups"
    Martin-Luther-Universität Halle-Wittenberg
  4. 20. Februar 2009
    "Unitary forms of Kac-Moody groups"
    Cornell University, USA
  5. 12. März 2009
    "Unitary forms of Kac-Moody groups"
    Binghamton University, USA
  6. 1. Juli 2009
    "The geometry of involutions of algebraic groups and of Kac-Moody groups"
    TU Eindhoven, Niederlande
  7. 14. Januar 2010
    "Fischer Spaces, 3-transposition groups and Lie Algebras"
    Leibniz Universität Hannover
  8. 21. Dezember 2010
    "Polyzyklische Quotienten und nicht-kommutative Gröbnerbasen"
    Friedrich-Schiller-Universität Jena
  9. 19. Januar 2011
    "Connectedness of flip-flop systems"
    Universiteit Gent, Belgien
  10. 10. Dezember 2014
    "Cartan-Bott periodicity for compact forms of Kac-Moody algebras of type $E_n$"
    TU Eindhoven, Niederlande
  11. 29. April 2016
    "Towards Kac-Moody symmetric spaces"
    Uni Erlangen
  12. 13. Juli 2017
    "Symbolische Berechnungen in Gruppen und Ringen"
    Uni Würzburg

Nichtmathematische Vorträge

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

Konferenzen


Lehre

  1. Seminar "Kommutative Algebra und Algebraische Geometrie" (SoSe 2006)
  2. MCS-Vorkurs (WiSe 2006/2007)
  3. Seminar "Zahlentheorie und Kryptographie" (SoSe 2007)
  4. Seminar "Tits-Gebäude" (WS 2007/2008)
  5. Vorlesung "Gruppentheorie" (WiSe 2009/2010)
  6. Vorlesung "Algorithmische Gruppentheorie" (SoSe 2010)
  7. Vorlesung "Darstellungstheorie" (WiSe 2010/2011)
  8. Vorlesung "Computeralgebra" (WiSe 2011/2012)
  9. Vorlesung "Einführung in die Gruppentheorie" (WiSe 2012/2013)
  10. Vorlesung "Algorithmische Algebra" (SoSe 2013)
  11. Vorlesung "Lineare Algebra I" (WiSe 2013/2014)
  12. Vorlesung "Lineare Algebra II" (SoSe 2014)
  13. Seminar/Proseminar "Computeralgebra" (SoSe 2014), Ankündigung
  14. Vorlesung "Algebra" (WiSe 2014/2015)
  15. Rechenkurs "Algebra mit GAP" (WiSe 2014/2015), Ankündigung, Arbeitsblätter
  16. Vorlesung und Seminar "Computeralgebra" (SoSe 2015), Ankündigung
  17. Vorlesung "Algorithmische Gruppentheorie" (WiSe 2015/2016)
  18. Lesekurs "Algorithmische Invariantentheorie" (WiSe 2015/2016)
  19. Vorlesung "Gruppentheorie" (SoSe 2016)
  20. Seminar "Algebra" (SoSe 2016)
  21. Vorlesung "Homologische Algebra" (WiSe 2016/2017)
  22. Vorlesung "Algorithmische Zahlentheorie" (SoSe 2017)
  23. Seminar "Zahlentheorie und Kryptographie" (SoSe 2017)
  24. Vorlesung "Computeralgebra" (WiSe 2017/2018)
  25. Rechenkurs "Algebra mit GAP" (WiSe 2017/2018)
  26. Vorlesung "Algorithmische Gruppentheorie" (SoSe 2018)
  27. Vorlesung "Gruppentheorie" (SoSe 2019)

Sonstiges