Thomas Reichelt
Head of Emmy-Noether research group
Universität Heidelberg
Mathematisches Institut
Im Neuenheimer Feld 205
69120 Heidelberg
email: treichelt at mathi.uni-heidelberg.de
group members
- Zhentao Lu (Post-Doc)
- Jan Niklas Jost (PhD student)
- Philip Bell (Master student)
- Matthias Herchenröther (Master student)
- Alexej Basalaev (Ex Post-Doc)
research interests
- Frobenius manifolds
- mirror symmetry
- Hodge theory
- D-Modules
- rational homotopy theory
research projects
- SISYPH 2014-2017, Mirror SYmmetry and irregular SIngularities coming from PHysics
- SÉDIGA 2009-2012, Singularities of DIfferential Equations in Algebraic Geometry
publications
- 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, 24 pages, math.AG/1703.03057, 2017
- 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, 63 pages
with Christian Sevenheck, math.AG/1503.01004, 2015
- 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