Papers:

I am currently writing up a paper explaining fundamental features of open topological SFT: The main result relates BV algebras built from i) the moduli space of Riemann surfaces with corners, free boundaries decorated with objects of a cyclic A-infinity category C, ii) the open SFT BV-algebra built from the cyclic cohomology of C, iii) the associated gauge theories under the LQT theorem and iv) the moduli space of metric graphs. 

This generalizes and puts into a conceptual context an observation of Kontsevich how a cyclic A-infinity algebra produces classes on M_(g,n). Further I explain the analogy to closed topological SFT, as described by Sen-Zwiebach, Costello, Căldăraru-Tu, which lead to the definition of Categorical Enumerative Invariants . Instances of closed respectively open topological SFT are BCOV theory respectively holomorphic Chern-Simons.

I hope to put this on the arxiv by beginning of 2024.


Research Talks:

10.1.24: Student Talk, Winter School in Mathematical Physics, SwissMap: Open Topological String Field Theory and the Loday-Quillen-Tsygan Theorem 

6.12.23: Geometry, Symmetry and Physics Seminar, Yale University: Open Topological String Field Theory and the Loday-Quillen-Tsygan Theorem 30.11.23: Algebraic Topology Seminar, Université Paris 13: On Open Topological String Field Theory 28.4.23: Group Seminar Mathematical Physics, Heidelberg: The Loday-Quillen-Tsygan Theorem in the BV formalism 

Outreach Talks:

14.3.24: Paris 13, PhD Student Seminar: From Path Integrals to Mathematics15.5.24 Paris-Orsay, PhD Student Seminar: From Path Integrals to Mathematics23.5.24 Grenoble, PhD Student Seminar: From Path Integrals to Mathematics

Attended Conferences/ Schools:

-Les Diablerets, 7.1.24-12.1.24: Winter School in Mathematical Physics 2024-Barcelona, 22.11-24.11.23: Operadic Methods in Geometry-Lille, 23.10-27.10.23: GDR Théorie de'l Homotopie et Applications-Cetraro, 4.09-8.09.23: CIME School: Enumerative Geometry, Moduli Spaces and Quantization-Dublin, 22.08-24.08.23: String Topology and connections to BV-quantization-Durham, 16.08-18.08.23: Fundamental Physics UK Meeting-Paris, IHP Trimester April-July 2023: Higher Structures in Geometry and Mathematical Physics-CIRM, Luminy, 16.04-21.04.23: Research School for the Trimester-CIRM, Luminy, 18.01-23.01.23: Chromatic Homotopy, K-Theory and Functors-Les Diablerets, Switzerland 8.1.-13.1.23: Winter School in Mathematical Physics 2023-Nantes, 24.10-27.10.22: GDR Théorie de'l Homotopie et Applications-Les Diablerets, 9.1.-14.1.22: Winter School on Mathematical Physics 2022-Heidelberg, 4.10-8.10.21:  Pure Spinors, Superalgebras and Holomorphic Twists-Copenhagen, 23.8-27.8.21: Summer School on TFT's and Factorization Homology