Lukas Jannik Woike
I am a PhD student in Mathematics funded by the
Research Training Group 1670 "Mathematics Inspired by String Theory and QFT" at the University of Hamburg. My advisor is Christoph Schweigert.
Research interests
 Topological Field Theories, Monoidal Categories and Algebraic Topology.
More specifically: Extended equivariant topological field theories and their orbifoldization, homotopical and highercategorical aspects of topological field theories and modular functors.
 Homotopy Theory and Operads.
More specifically: An operadic formulation of homotopy coherent algebraic quantum field theories and their localtoglobal constructions.
Publications
[8] The Little Bundles Operad. Joint with Lukas Müller. 2019. Accepted for publication in Algebr. Geom. Top. arXiv:1901.04850 [math.AT]
[7] Equivariant Higher Hochschild Homology and Topological Field Theories. Joint with Lukas Müller. Homology Homotopy Appl. 22(1):2754, 2020. arxiv.org/abs/1809.06695 [math.AT]
[6] Homotopy theory of algebraic quantum field theories. Joint with Marco Benini and Alexander Schenkel. Lett. Math. Phys. 109:14871532, 2019. arXiv:1805.08795 [mathph]
[5] Parallel Transport of Higher Flat Gerbes as an Extended Homotopy Quantum Field Theory. Joint with Lukas Müller. J. Homotopy Relat. Str. (Online first) arXiv:1802.10455 [math.QA]
[4] Extended Homotopy Quantum Field Theories and their Orbifoldization. Joint with Christoph Schweigert. J. Pure Appl. Algebra. (Online first) arXiv:1802.08512 [math.QA]
[3] Involutive categories, colored ∗operads and quantum field theory. Joint with Marco Benini and Alexander Schenkel. Theory Appl. Categ. 34(2):1357, 2019. arXiv:1802.09555 [math.CT]
[2] A Parallel Section Functor for 2Vector Bundles. Joint with Christoph Schweigert. Theory Appl. Categ. 33(23):644690, 2018. arXiv:1711.08639 [math.CT]
[1] Orbifold Construction for Topological Field Theories. Joint with Christoph Schweigert. J. Pure Appl. Algebra 223:11671192, 2019. arXiv:1705.05171 [math.QA]
Preprints
[2] The Hochschild Complex of a Finite Tensor Category. Joint with Christoph Schweigert. 2019. arXiv:1910.00559 [math.QA]
[1] Operads for algebraic quantum field theory. Joint with Marco Benini and Alexander Schenkel. 2017. arXiv:1709.08657 [mathph]
Talks
12. The Hochschild Complex of a Finite Tensor Category. Memorial University Newfoundland, November 2019.
11. Boundary Conditions and the SwissCheese Operad. Workshop on Defects in topological and conformal field theory, King's College London, June 2019.
10. Derived modular functors. Topology Seminar, University of Oxford, June 2019.
9. Derived modular functors. Topology Seminar, University of Edinburgh, March 2019.
8. Homotopy theory of algebraic quantum field theories. Séminaire de l'équipe Topologie Algébrique, Université Paris 13, November 2018.
7. Homotopy theory of algebraic quantum field theories. Séminaire de Topologie, Université Paris Diderot, November 2018.
6. Algebraic quantum field theories  Interpolating between noncommutativity and commutativity. Bayrischzell Workshop
On Noncommutativity and Physics: Hopf algebras in Noncommutative Geometry, Bayrischzell, April 2018.
5. Operads and Homotopy Theory in Algebraic Quantum Field Theory. EMPG Seminar, HeriotWatt University Edinburgh, March 2018.
4. TFT Perspective on Orbifoldization. Workshop on Tensor categories, Hopf algebras and quantum groups, Marburg, January 2018.
3. Orbifold Construction for Topological Field Theories. Universität Greifswald, Seminar on Algebraic Methods in Analysis, June 2017.
2. Orbifold Construction for Topological Field Theories. University of Nottingham, Mathematical Physics Seminar, June 2017.
1. Orbifold Construction for Topological Field Theories. Université Lille 1, Topology Seminar, June 2017.
Contact
Department of Mathematics
Section Algebra and Number Theory
Bundesstraße 55 (Geomatikum)
20146 Hamburg

Room 1519
Tel.: +49 40 42838 9355
EMail: lukas.jannik.woike (at) unihamburg.de

