Papers et al

Papers:

(Preprints)

• • "Landau-Ginzburg/conformal field theory correspondence for $x^d$ and module tensor categories", joint with Thomas Wasserman.

  • "Orbifold autoequivalent exceptional unimodal singularities", joint with Rachel Newton.

(Published)

• • "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, Beitraege zur Algebra und Geometrie (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!).