Papers:
(Preprints)
"Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl} (2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras", joint with Hiromu Nakano, Flor Orosz Hunziker and Simon Wood.
"Orbifold autoequivalent exceptional unimodal singularities", joint with Rachel Newton.
(Published)
"Landau-Ginzburg/conformal field theory correspondence for $x^d$ and module tensor categories", joint with Thomas Wasserman, Journal of Mathematical Physics, 1 December 2024; 65 (12): 121701.
"Detecting algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories", joint with Samuel Hannah, with an appendix with Devi Young, Nuclear Physics B, Volume 1002 (2024) 116525.
"Computational aspects of orbifold equivalence", joint with Timo Kluck, Beiträge zur Algebra und Geometrie 65, 809–826 (2024).
"Frobenius monoidal functors of Dijkgraaf-Witten categories and rigid Frobenius algebras", joint with Sam Hannah and Robert Laugwitz, SIGMA 19 (2023), 075, 42 pages.
"Algebraic structures in group-theoretical fusion categories", joint with Yiby Morales, Monique Müller, Julia Plavnik, Angela Tabiri and Chelsea Walton, Algebras and Representation Theory 26 (2023), 2399-2431.
"On the Landau-Ginzburg/conformal field theory correspondence", Vertex Operator Algebras, Number Theory and Related Topics 753 (2020), Contemporary Mathematics AMS. Also available on arXiv.
"Strangely dual orbifold equivalence I", joint with Rachel Newton, Journal of Singularities 14 (2016), 34-51. Also available on arXiv.
"N=2 minimal conformal field theories and matrix bifactorisations of x^d", joint with Alexei Davydov and Ingo Runkel, Communications in Mathematical Physics 357, 2 (2018) 597–629. Also available on arXiv.
"Orbifold equivalent potentials", joint with Nils Carqueville and Ingo Runkel, Journal of Pure and Applied Algebra 220 2 (2016) 759–781. Also available on arXiv.
"Integrability and chaos: the classical uncertainty", joint with Jaume Masoliver, European Journal of Physics 32 (2011) 431-458. Also available on arXiv.
"From classical to quantum mechanics through optics", joint with Jaume Masoliver, European Journal of Physics 31 (2010) 171-192. Also available on arXiv.
My PhD thesis! Available also on arXiv.
Posters:
April 2017: "Classification of singularities, matrix factorizations and a categorical prediction from physics", 53rd Nederlands Mathematisch Congres (Utrecht, The Netherlands).
Notes and reports:
I was the reporter of the Oberwolfach Workshop "Mirror symmetry, Hodge Theory and Differential Equations", which took place from April 19th til 25th, 2015. The final version of the report (where I contributed with an entry on my talk) can be found here.
In the summer semester of 2013 I gave a hand correcting the first version of the script of the subject "Some topics in the representation theory of finite-dimensional algebras" by Dr. Pawel Sosna.
In the winter semester of 2012-2013 I gave a hand correcting the script and draw some overview schemes about the subject "Hopf algebras, quantum groups and topological field theory" by Prof. Dr. Christoph Schweigert.
In the summer semester of 2010 I co-wrote some notes for the subject "Supersymmetry, geometry and strings" by Dr. Jan Louis with Lisa Bauer and Paniz Imani.
In the summer semester of 2010 I gave a talk in the "Seminar on cohomology of Lie algebras" by JProf. Dr Christoph Wockel on "Affine Kac-Moody algebras".
In autumm 2009, while at the 15th Saalburg Summer School, I typed down the notes of Prof. Richard Szabo on his "Introduction to noncommutative field theory".
Others:
(Upon request) The report of my project at the Emmy Noether group "Conceptual questions of quantum gravity and mathematical structures in three-dimensional gravity".
My DESY summer student report (yes! on structural biology!).