SoSe 23: Lineare Algebra für Informatiker

• Modulräume von Darstellungen
• Darstellungstheorie von Algebren
• Kohomologie und Schnitt-Theorie
• Kohomologische Hall-Algebren
• Geometrische Invariantentheorie
• Birationale Geometrie

• A Gelfand-MacPherson correspondence for quiver moduli.
  Preprint 2022. arXiv:2211.14195
• Projectivity and effective global generation of determinantal line bundles on quiver moduli. Mit Pieter Belmans, Chiara Damiolini, Victoria Hoskins, Svetlana Makarova und Tuomas Tajakka.
  Preprint 2022. arXiv:2210.00033
• Torus Actions on Quotients of Affine Spaces. Mit Ana-Maria Brecan
  Preprint 2022. arXiv:2201.04879
• Tautological bases of CoHA modules. Mit Sergey Mozgovoy
  Preprint 2021. arXiv:2111.10114

• Weight Spaces and Attracting Sets for Torus Actions on Quiver Moduli. Mit Magdalena Boos
  Bull. LMS oder arxiv:2002.12049
• Rationality of Rigid Quiver Grassmannians
  Algebr. Represent. Th. oder arxiv:1903.04327
• Cell decompositions and algebraicity of cohomology for quiver Grassmannians. Mit Giovanni Cerulli Irelli, Francesco Esposito und Markus Reineke
  Adv. Math. oder arxiv:1804.07736
• Fano quiver moduli. Mit Markus Reineke und Silvia Sabatini
  Canad. Math. Bull. oder arxiv:2001.10556
• Torus-Equivariant Chow Rings of Quiver Moduli
  SIGMA
• On the Cohomological Hall Algebra of the Kronecker Quiver. Mit Markus Reineke
  Contemp. Math. oder arXiv:1904.09224
• Cohomology Rings of Moduli of Point Configurations on the Projective Line. Mit Markus Reineke
  Proc. AMS oder arXiv:1611.01092
• The Value of the Kac Polynomial at One. Mit Thorsten Weist
  Quart. J. Math. oder arxiv:1608.03419
• Cohomological orientifold Donaldson-Thomas invariants as Chow groups. Mit Matthew B. Young
  Selecta Math. oder arxiv:1605.06596 
• Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants. Mit Markus Reineke
  Algebra & Number Th. oder arXiv:1512.03748
• Non-Schurian indecomposables via intersection theory. Mit Thorsten Weist
  JPAA oder arXiv:1508.04643
• On the Semi-Stable CoHa and its Modules Arising from Smooth Models
  ​​​​​​​J. Algebra oder arXiv:1502.04327
• On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules
  Math. Res. Lett. oder arXiv:1312.1499
• Chow Rings of Fine Quiver Moduli are Tautologically Presented
  ​​​​​​​Math. Z. oder arXiv:1307.3066​​​​​​​

• Cohomology and Intersection Theory of Moduli Spaces Associated with Quivers
  Habilitationsschrift 2020. Ruhr-Universität Bochum
• Donaldson–Thomas Invariants of Quivers as Chow Groups.
  OWR Interactions between Algebraic Geometry and Noncommutative Algebra
• Cohomology of Non-Commutative Hilbert Schemes as CoHa-Modules
  OWR Interactions between Algebraic Geometry and Noncommutative Algebra
• On Chow Rings of Fine Quiver Moduli and Modules over the Cohomological Hall Algebra
  Dissertation 2014. Bergische Universität Wuppertal. Link

• WiSe 22/23: Lineare Algebra 2
• SoSe 22: Lineare Algebra 1
• SoSe 21: 
  • Kommutative Algebra (Univ. Jena)
  • Algebra und Zahlentheorie für Lehramtsstudierende (Univ. Jena)
• WiSe 18/19: Grundzüge der Darstellungstheorie (Univ. Bonn)
• SoSe 18:
  • Algebra 1 (Univ. Bonn)
  • Hauptseminar Algebra (Univ. Bonn)
• WiSe 17/18: Schemata (Ruhr-Univ. Bochum)