Forschungsinteressen

Darstellungstheorie endlicher Gruppen
 

Veröffentlichungen

• (mit Tung Le, Kay Magaard) On the Characters of the Sylow p-Subgroups of Untwisted Chevalley Groups Y_n(p^a),
  LMS J. Comput. Math. 19 (2016), 303-359.
  [Preprint: arXiv]
   
• (mit Felix Noeske) Restricting Unipotent Characters in Special Orthogonal Groups,
  LMS J. Comput. Math. 18 (2015), 456-488.
  [Preprint: arXiv]
   
• (mit Felix Noeske) Decomposition Numbers of SO₇(q) and Sp₆(q),
  J. Algebra 413 (2014), 15-40.
  [Preprint: arXiv]
   
• (mit Peter Symonds) Exterior and Symmetric Powers of Modules for Cyclic 2-Groups,
  J. Algebra 410 (2014), 393-420.
  [Preprint: arXiv]
   
• (mit Shih-chang Huang) On the Decomposition Numbers of Steinberg's Triality Groups ³D₄(2ⁿ) in Odd Characteristics,
  Comm. Algebra 41 (2013), 1484-1498.
   
• (mit Shih-chang Huang) Dade's Invariant Conjecture for the Ree Groups ²F₄(q²) in Defining Characteristic,
  Comm. Algebra 40 (2012), 452-496.
  [Preprint: arXiv]
   
• (mit Olivier Brunat) On Equivariant Bijections Relative to the Defining Characteristic,
  J. Algebra 334 (2011), 150-174.
  [Preprint: arXiv]
   
• (mit Tung Le, Kay Magaard) Characters of the Sylow p-Subgroups of the Chevalley Groups D₄(pⁿ),
  J. Algebra 332 (2011), 414-427.
  [Preprint: arXiv]
   
• On the Decomposition Numbers of the Ree Groups ²F₄(q²) in Non-Defining Characteristic,
  J. Algebra 325 (2011), 364-403.
  [Preprint: arXiv]
   
• (mit Shih-chang Huang) Character Tables of the Maximal Parabolic Subgroups of the Ree Groups ²F₄(q²),
  LMS J. Comput. Math. 13 (2010), 90-110.
   
• (mit Jianbei An, Shih-chang Huang) Dade's Invariant Conjecture for the Symplectic Group Sp(4,2ⁿ) and the Special Unitary Group SU₄(2²ⁿ) in Defining Characteristic,
  Comm. Algebra 38 (2010), 2364-2403.
   
• (mit Hung Nguyen, Pham Tiep) On the Restriction of Cross Characteristic Representations of ²F₄(q) to Proper Subgroups,
  Arch. d. Math. 93 (2009), 415-423.
  [Preprint: arXiv]
   
• (mit Shih-chang Huang) Character Table of a Borel Subgroup of the Ree Groups ²F₄(q²),
  LMS J. Comput. Math. 12 (2009), 1-53.
   
• (mit Peter Symonds) Equivariant Hilbert Series,
  Algebra & Number Theory 3 (2009), 423-443.
   
• Appendix zu Hung Nguyen, Pham Tiep: Cross Characteristic Representations of ³D₄(q) are Reducible over Proper Subgroups,
  J. Group Theory 11 (2008), 657-668.
   
• (mit Shih-chang Huang) Dade's Invariant Conjecture for Steinberg's Triality Groups ³D₄(2ⁿ) in Defining Characteristic,
  J. Algebra 316 (2007), 802-827.
   
• Character Tables of Parabolic Subgroups of Steinberg's Triality Groups ³D₄(2ⁿ),
  J. Algebra 316 (2007), 254-283.
   
• (mit Jianbei An, Shih-chang Huang) Uno's Invariant Conjecture for Steinberg's Triality Groups in Defining Characteristic,
  J. Algebra 316 (2007), 79-108.
   
• On the 2-Decomposition Numbers of Steinberg's Triality Groups ³D₄(q), q odd,
  J. Algebra 309 (2007), 569-593.
   
• Character Tables of Parabolic Subgroups of Steinberg's Triality Groups,
  J. Algebra 281 (2004), 774-822.
   

Weitere wissenschaftliche Arbeiten

• Character Tables of Parabolic Subgroups of Finite Groups of Lie Type and Applications, Habilitationsschrift, TU München, 2010.
   
• Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie, Dissertation, RWTH Aachen, 2003. [pdf]
   
• Die Dade-Vermutungen für die sporadische Suzuki-Gruppe, Diplomarbeit, RWTH Aachen, 1999. [pdf]
   

Link

• MATHSCINET