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Institution

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Universität Hamburg
Fakultät für Mathematik, Informatik und Naturwissenschaften
Bereich Algebra und Zahlentheorie

Address Bundesstraße 55
20146 Hamburg
Deutschland

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20146 Hamburg

Projects

Priority Programmes
- Completed projects
  - New examples for logarithmic ring spectra
    (Applicant Richter, Birgit )
  - Ramified extensions of commutative ring spectra
    (Applicant Richter, Birgit )
  - Representation and category theoretic aspects of logarithmic conformal field theories
    (Applicant Schweigert, Christoph )
  - Representation theoretic tools for equivariant and orbifold conformal field theories
    (Applicant Schweigert, Christoph )
  - Superkonforme Quantenfeldtheorien und topologische Feldtheorie mit Spinstruktur
    (Applicant Schweigert, Christoph )
Research Grants
- Completed projects
  - Tensor networks and representation theory
    (Applicant Schweigert, Christoph )
  - Zusatzstrukturen auf En-Kohomologie
    (Applicant Richter, Birgit )
Independent Junior Research Groups
- Current projects
  - Vertex Algebras Associated with 2- and 4-dimensional Conformal Field Theories
    (Applicant Möller, Sven )
Collaborative Research Centres
- Current projects
  - Derived TFT and supersymmetric field theory
    (Project Heads Möller, Sven ; Runkel, Ingo ; Schweigert, Christoph ; Teschner, Jörg )
  - Generalised complex structures and homological algebra
    (Project Heads Cortés, Vicente ; Holstein, Julian )
  - Higher dimensions and categorification
    (Project Heads Reutter, David Jakob ; Schweigert, Christoph ; Wedrich, Paul )
  - Integrated research training group
    (Project Head Runkel, Ingo )
  - Quantized Chern-Simons observables as discrete integrable systems
    (Project Heads Runkel, Ingo ; Schomerus, Volker )
  - Stratified spaces and factorisation homology techniques
    (Project Heads Dyckerhoff, Tobias ; Runkel, Ingo ; Scheimbauer, Claudia ; Schweigert, Christoph )
  - Topological Fukaya categories, knots, and topological strings
    (Project Heads Dyckerhoff, Tobias ; Teschner, Jörg ; Wedrich, Paul )
- Completed projects
  - Integrability in two-dimensional conformal eld theory
    (Project Heads Runkel, Ingo ; Teschner, Jörg )
  - Mathematical Foundations of String Theory
    (Project Head Schweigert, Christoph )
  - TQFT from and for 4d SUSY gauge theories
    (Project Heads Schweigert, Christoph ; Teschner, Jörg )
Research Training Groups
- Completed projects
  - GRK 1670: Mathematics Inspired by String Theory and QFT
    (Spokesperson Schweigert, Christoph )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2121: Quantum Universe
    (Spokespersons Garutti, Erika ; Louis, Jan ; Schleper, Peter ; Servant, Geraldine ; Weigand, Timo )

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