
Research Group
Jürgen Jost
Contact: Email
Phone:
+49 (0) 341 - 9959 - 550
Address:
Inselstr. 22
04103 Leipzig
Administrative Assistant:
Antje Vandenberg
Email, Phone/Fax:
+49 (0) 341 - 9959
- 552
- 658
Geometry, Analysis, Theoretical Physics and Machine Learning
Participants
External collaborators
- Qun Chen (Wuhan University)
- Qi Ding (Fudan University, Shanghai)
- Shaoming Fei (Capital Normal University, Beijing)
- Bobo Hua (Fudan University, Shanghai)
- Hông Vân Lê (Czech Academy of Sciences, Prague)
- Lorenz Schwachhöfer (Technische Universität Dortmund)
- Guofang Wang (Universität Freiburg)
- Yuanlong Xin (Fudan University, Shanghai)
- Ling Yang (Fudan University, Shanghai)
- Chunqin Zhou (Shanghai Jiaotong University)
- Miaomiao Zhu (Shanghai Jiaotong University)
Graduate students
Topics
- Variational problems from geometry and quantum field theory: Coupled field equations (Ginzburg-Landau, Chern-Simons-Higgs, Seiberg-Witten, Toda, Dirac-harmonic), harmonic maps, minimal surfaces and submanifolds, conformal structures
- Supergeometry: Connections with supersymmetry and superstring theory, supersymmetric non-linear σ-models, Super Riemann surfaces
- Representations of fundamental groups of Kähler manifolds, structure theory of projective and quasiprojective varieties, Higgs bundles, cohomology theories, methods from non-linear analysis
- Geometric methods for graphs and simplicial complexes
- Morse-Conley-Floer theory
- Information geometry
- Category theory
- Quantum information theory
Book series edited by J.Jost
- Ergebnisse der Mathematik (Springer)
- Mathematics of Data (Springer)