Sebastian Halbig

1. U. Krähmer and S. Halbig. A non-semisimple Kitaev lattice model. (2025).
2. S. Halbig and T.Zorman. Duality in Monoidal Categories. (2024).

1. B. Femić and S. Halbig. Categorical centers and Yetter–Drinfel`d-modules as 2-categorical (bi)lax structures. Publ. Inst. Math., Nouv. Sér. (2025).
2. S. Halbig and T.Zorman. Diagrammatics for Comodule Monads. Appl. Categ. Struct. (2023).
3. S. Halbig and T.Zorman. Pivotality, twisted centres and the anti-double of a Hopf monad. Theory Appl. Categ. (2024).
4. S. Halbig. Generalized Taft algebras and pairs in involution. Commun. Algebra. (2021).
5. S. Halbig and U. Krähmer A Hopf algebra without a modular pair in involution. Geom. Methods in Physics XXXVII. (2019).

A digital version of my PhD thesis can be found here.

• 27.02 - 13.03.2025 visiting Ivan Angiono in Cordoba, Argentina as part of the DFG-project "Lie-Theorie in Geometrie, Algebra und Analysis" (541920696)

• 30.09 - 02.10.2024 visiting Jennifer Brown in Edinburgh, Scotland
• 29.04 - 03.05.2024 visiting Catharina Stroppel in Bonn, Germany
• 26.02 - 27.02.2024 visiting Ulrich Krähmer in Dresden, Germany
• 19.02 - 23.02.2024 visiting John Bourke in Brno, Czech Republic

• 27.11- 01.12.2023 visiting Ulrich Krähmer in Dresden, Germany

• 05.12 - 08.12.2022 visiting Catherine Meusburger in Erlangen, Germany
• 03.01 - 24.01.2022 as teaching assistant of Ulrich Krähmer visiting AIMS Ghana in Accra, Ghana

• 06.12 - 10.12.2021 visiting Martin Markl in Prague, Czech Republic

• 24.09 - 02.10.2019 visiting Robert Yuncken in Clermont-Ferrand, France

• 03.06.2025 Noncommutative geometry and topology seminar in Prague, Czech Republic “A non-semisimple version of the Kitaev lattice model”
• 19.05 - 20.05.2025 Higher structures for Hopf algebras in Dresden, Germany
  • 20.05 Talk “A non-semisimple version of the Kitaev lattice model”
• 22.04. - 26.04.2025 Hopf25 in Brussels, Belgium
  • 24.04 Talk "A non-semisimple version of the Kitaev model" (Plenary speaker)
• 11.03.2025 Seminario del Grupo de Lie in Córdoba, Argentina "A non-semisimple Kitaev lattice model"
• 05.03. - 11.03.2025 Lie Theory in Geometry, Algebra and Analysis in Córdoba, Argentina
  • 10.03 Talk "Topological aspects of representation theory"

• 02.10.2024 Algebra Seminar in Edinburgh, Scotland, "A non-semisimple variant of the Kitaev lattice model"
• 03.05.2024 Oberseminar Darstellungstheorie in Bonn, Germany "Pivotality and twisted centres"
• 21.02.2024 Brno Algebra seminar: in Brno, Czech Republic, "Dualities in monoidal functor categories"
• 28.01. - 02.02.2024 Oberwolfach Mini-workshop: "Bridging Number Theory and Nichols Algebras via Deformations" in Oberwolfach, Germany
  • 02.02.2024 Talk: "Dualities in abelian monoidal functor categories"

• 23.11. - 26.11.2023 Factorisation homology seminar in Dresden, Germany
  • 24.11 Talk "The Goldman bracket via ribbon graphs (Part I)"
  • 25.11 Talk "The Goldman bracket via ribbon graphs (Part II)"
• 04.09. - 06.09.2023 Hopf days in Brussels, Belgium
  • 04.09 Talk "Duality in monoidal categories"
• 22.05. - 26.05.2023 Workshop Hopf Algebras and Tensor Categories in Marburg, Germany
  • 23.05 Talk "Pairs in involution – From Hopf algebras to monoidal categories and back"

• 08.12. - 11.12.2022 Seminar on Operads in Bonn, Germany
  • 08.12 Talk "A-infinity algebras"
• 30.05.2022 Quantum groups seminar (online) "Pivotality, twisted centres and the anti-double of a Hopf monad"
• 14.05-15.05.2022 PSSL Brno in Brno, Czech Republic
  • 15.05 Talk "Pivotality, twisted centres and the anti-double of a Hopf monad"
• 12.05.2022 Czech academy of sciences, in Prague, Czech Republic "Pivotality, twisted centres and the anti-double of a Hopf monad"
• 12.04.2022 Universität Hamburg in Hamburg, Germany "Pivotality, twisted centres and the anti-double of a Hopf monad"
• 18.01.2022 AIMS Ghana, in Accra, Ghana "Coxeter groups and beyond"

• 09.12.2021 Czech academy of sciences in Prague, Czech Republic "Exploring the Kitaev lattice model"
• 18.10.2021 Geometric methods seminar Dresden in Dresden, Germany "Higher-dimensional Algebra and Topological Quantum Field Theory"
• 28.01.2021 Promotionen und Postdocs in Darstellungstheorie (online) "Generalised Taft algebras and pairs in involution"

• 09.11.2020 Geometric methods seminar Dresden in Dresden, Germany "Reconstruction of fusion categories"
• 20.01.2020 RWTH Aachen in Aachen, Germany "Generalised Taft algebras and pairs in involution"

• 16.12.2019 Friedrich–Alexander University Erlangen in Erlangen, Germany "Generalised Taft algebras and pairs in involution"
• 30.09.2019 Univerité Blaise–Pascal Clermont–Ferrand in Clermont-Ferrand, France "Generalised Taft algebras and pairs in involution"
• 08.07.2019 Phillips–Universität Marburg in Marburg, Germany "Generalised Taft algebras and pairs in involution"

• 19.11.2018 Institute of mathematics of the Polish academy of sciences in Warsaw, Poland "Generalised Taft algebras and pairs in involution"
• 13.11.2018 Geometry seminar in Dresden, Germany "Hopf algebras with and without modular pairs in involution"

• 08.09 - 12.09.2025 Workshop on higher structures: recent developments and applications Hamburg, Germany
• 30.06 - 11.07.2025 Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras in Bonn, Germany
• 23.06 - 26.06.2025 Factorisation homology seminar in Bonn, Germany
• 14.02 - 15.02.2025 Algebra and Representation Theory in Germany in Bonn, Germany

• 08.10 - 11.10.2024 Higher Structures in Noncommutative Geometry and Quantum Algebra in Lille, France
• 23.09 - 27.09.2024 Scottish Talbot on Algebra and Topology: Higher tensor categories and their extensions in Glenmore, Scotland
• 03.09 - 06.09.2024 Hopf Algebras and Monoidal Categories in Ferrara, Germany
• 14.06 - 15.06.2024 Algebra and Representation Theory in Germany in Aachen, Germany
• 11.06 - 14.06.2024 Factorisation homology seminar in Bonn, Germany

• 20.10. - 22.10.2023 Factorisation homology seminar in Bonn, Germany
• 02.07 - 08.07.2023 Category Theory 2023 in Louvain-la-Neuve, Belgium

• 13.06 - 17.06.2022 Summer school and workshop: Representation theory and flag or quiver varieties in Paris, Germany

• 16.03 - 20.03.2020 Tensor categories and topological quantum field theories in SLMath, Berkley, USA (moved online due to Covid-19)

• 26.08 - 30.08.2019 Algebraic structures in quantum field theory in Hamburg, Germany

• 22.01 - 26.01.2018 Tensor categories, Hopf algebras and quantum groups in Marburg, Germany

• winter term:
  • Abstract algebra (teaching assistant)
• summer term:
  • Linear algebra II (teaching assistant)
  • Matrix methods in data analysis (teaching assistant)
  • Hopf algebras (tutor)

• winter term:
  • Linear algebra I (teaching assistant)
  • Lie groups and lie algebras (tutor)
• summer term:
  • Representation theory of finite groups (lecturer)

• winter term:
  • Basic concepts of linear algebra (teaching assistant),
  • Algebra (teaching assistant)
• summer term:
  • Representation theory of algebras (teaching assistant),
  • Linear algebra II (teaching assistant)

• winter term:
  • linear algebra I (teaching assistant)
• summer term:
  • geometry for civil engineers (tutor)

• winter term:
  • mathematics for industrial engineers (teaching assistant)
• summer term:
  • linear algebra for teachers (tutors)

• winter term:
  • linear algebra (tutor)
• summer term:
  • Galois theory (teaching assistant)

• winter term:
  • mathematics for industrial engineers (tutor)
• summer term:
  • mathematics for engineers (tutor)

• winter term:
  • mathematics for industrial engineers (tutor)