Forschungsgruppe
Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Telefon (Sekretariat):
+49 (0) 341 - 9959 - 552

Fax:
+49 (0) 341 - 9959 - 555

Adresse:
Inselstr. 22
04103 Leipzig
Deutschland

Geometry, Analysis and Theoretical Physics

Participants

  • Miroslav Bačák
  • Keita Kunikawa
  • Xianqing Li-Jost (coordinator Quantum Information)
  • Lei Liu
  • Felix Schmäschke
  • Arleta Szkoła
  • Jürgen Tolksdorf (coordinator VARIOGEO)
  • Jian Wang

External collaborators

  • Shaoming Fei (Capital Normal University, Beijing)
  • Guofang Wang (Universität Freiburg)
  • Yuanlong Xin (Fudan University, Shanghai)
  • Ling Yang (Fudan University, Shanghai)
  • Chunqin Zhou (Shanghai Jiaotong University)

Graduate students

  • Renan Assimos Martins
  • Ning-Ping Cao
  • Vishal Gupta
  • Enno Keßler
  • Gerardo Sosa Garciamarín
  • Ruijun Wu
  • Yunlong Xiao
  • Odette Sylvia Yaptieu Djeungue
  • Li-Jun Zhao

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
  • Quantum information theory

External Funding

  • VARIOGEO (The Geometric Calculus of Variations and its Applications, ERC Advanced Investigator Grant)
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