University of Mannheim
Fakultät für Wirtschafts­informatik und Wirtschafts­mathematik
B6, 26 – Room B 4.16
68159 Mannheim

Phone: +49 621 181-2505
E-mail: reicheltmail-uni-mannheim.de

See Lehre, FSS 24 and Lehre, vergangene Semeste

• Frobenius manifolds
• mirror symmetry
• Hodge theory
• D-modules
• rational homotopy theory

• SÉDIGA 2009–2012 Singularities of DIfferential Equations in Algebraic Geometry
• SISYPH 2014–2016 Mirror SYmmetry and irregular SIngularities coming from PHysics
• 2015–2020 Own Emmy Noether research group

• Tautological systems, homogeneous spaces and the holonomic rank problem with Paul Görlach, Christian Sevenheck, Avi Steiner and Uli Walther, 61 pages, math.AG/2211.05356, 2022.
• Topological calculation of local cohomological dimension with Morihiko Saito and Uli Walther, 10 pages, math.AG/2108.1289, 2021.
• On Lyubeznik type invariants with Uli Walther and Wenliang Zhang, Topology and its Applications, Volume 313, 2022.
• Algebraic aspects of hypergeometric differential equations with Mathias Schulze, Christian Sevenheck and Uli Walther, Beitr Algebra Geom62, 137–203 (2021)
• Weight filtrations on GKZ-systems with Uli Walther, American Journal of Mathematics, vol. 144 no. 5, 2022, p. 1437-1484.
• Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings,
  with Morihiko Saito and Uli Walther, 12 pages, math.AG/1803.07448, 2018
• Examples of hypergeometric twistor D-modules,
  with Alberto Castaño Domínguez and Christian Sevenheck, 13 pages, math.AG/1803.04886, 2018
• Gauss-Manin systems of families of Laurent polynomials and A-hypergeometric systems,
  with Uli Walther, Communications in Algebra Volume 47, 2019
• Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt^* geometry,
  with Etienne Mann, 40 pages, math.AG/1605.08937, 2015
• On the b-functions of hypergeometric systems,
  with Christian Sevenheck and Uli Walther, 21 pages, International Mathematics Research Notices, 2016
• Hypergeometric Hodge modules,
  with Christian Sevenheck, Algebraic Geometry 7 (3) (2020) 263–345.
• Non-affine Landau-Ginzburg models and intersection cohomology,
  with Christian Sevenheck, 89 pages, Annales scientifiques de l'ENS 50, fascicule 3 (2017), 665–753
• A comparison theorem between Radon and Fourier-Laplace transforms for D-modules,
  Annales de l'institut Fourier, 65 no. 4 (2015), p. 1577-1616
• Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules,
  Compos. Math. 150 (2014), no. 6, 911–941
• Logarithmic Frobenius manifolds from Landau-Ginzburg models and mirror symmetry,
  96 pages, Ph.D. thesis
• Logarithmic Frobenius manifolds, hypergeometric systems and quantum D-modules,
  with Christian Sevenheck, J. Algebraic Geom. 24 (2015), 201–281, 2015
• A construction of Frobenius manifolds with logarithmic poles and applications,
  Communications in Mathematical Physics, volume 287, issue 3, p. 1145-1187, 2009