PD Dr. Hans Franzen

New homepage

I have moved to Paderborn University. Please visit my new homepage. My new email address is hans.franzen(at)math.upb.de

Teaching

• Summer 21: Algebra and Number Theory for teacher training students at Univ. Jena
• Summer 21: Commutative Algebra at Univ. Jena
• Summer 20: Exercise classes for Linear algebra II; lecturer Christian Stump
• Winter 19/20: Exercise classes for Linear algebra I; lecturer Christian Stump
• Summer 19: Exercise classes for Mathematics II for Engineers; lecturer Markus Reineke
• Winter 18/19: Foundations in Representation Theory at Bonn University
• Summer 18: Algebra 1 and Hauptseminar Algebra at Bonn University
• Winter 17/18: Schemes
• Winter 16/17: Exercise classes for Linear algebra I; lecturer Markus Reineke

Preprints

• Torus Actions on Quotients of Affine Spaces. Jt. w/ Ana-Maria Brecan
  Preprint 2022. arxiv:2201.04879
• Tautological bases of CoHA modules. Jt. w/ Sergey Mozgovoy
  Preprint 2021. arxiv:2111.10114

Publications

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

Other

• Cohomology and Intersection Theory of Moduli Spaces Associated with Quivers
  Habilitationsschrift 2020.
• Donaldson–Thomas Invariants of Quivers as Chow Groups
  OWR Interactions between Algebraic Geometry and Noncommutative Algebra 2018
• Cohomology of Non-Commutative Hilbert Schemes as CoHa-Modules
  OWR Interactions between Algebraic Geometry and Noncommutative Algebra 2014.
• On Chow Rings of Fine Quiver Moduli and Modules over the Cohomological Hall Algebra
  Dissertation 2014. Link