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

  • Karel Devriendt (see homepage: external)
  • Parvaneh Joharinad
  • Sunhyuk Lim (see homepage: external)
  • Rostislav Matveev
  • Florentin Münch
  • Osman Berat Okutan (see homepage: external)

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

  • Zachary Adams
  • Lukas Barth (see homepage: group)
  • Fabio Di Nocera (see homepage: external)
  • Fatemeh Fahimi Sheyjani
  • Shuhan Jiang
  • Janis Keck

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)
27.11.2022, 01:40