
Dr Alexander Hock
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Genus Permutations and Genus Partitions, https://arxiv.org/abs/2306.16237
Laplace transform of the $x-y$ symplectic transformation formula in Topological Recursion, https://arxiv.org/abs/2304.03032
Blobbed topological recursion from extended loop equations, with R. Wulkenhaar, https://arxiv.org/abs/2301.04068
A simple formula for the $x-y$ symplectic transformation in topological recursion, https://arxiv.org/abs/2211.08917
Complete solution of the LSZ Model via Topological Recursion, with J. Branahl, Commun. Math. Phys. (2023) https://arxiv.org/abs/2205.12166
An irregular spectral curve for the generation of bipartite maps in topological recursion, with J. Branahl, https://arxiv.org/abs/2204.05181
On the $x-y$ Symmetry of Correlators in Topological Recursion via Loop Insertion Operator, https://arxiv.org/abs/2201.05357
From scalar fields on quantum spaces to blobbed topological recursion, with J. Branahl, H. Grosse and R. Wulkenhaar, J. Phys. A: Math. Theor. 55 (2022) 423001 https://arxiv.org/abs/2110.11789
Genus one free energy contribution to the quartic Kontsevich model, with J. Branahl, https://arxiv.org/abs/2111.05411
Blobbed topological recursion of the quartic Kontsevich model II: Genus=0, with R. Wulkenhaar, https://arxiv.org/abs/2103.13271
Perturbative and geometric analysis of the quartic Kontsevich model, with J. Branahl and R. Wulkenhaar, SIGMA 17 (2021) 085 https://arxiv.org/abs/2012.02622
Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures, with J. Branahl and R. Wulkenhaar, Commun. Math. Phys. 393 (2022) 1529 https://arxiv.org/abs/2008.12201
Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space, with H. Grosse and R. Wulkenhaar, JHEP 01 (2020) 81 https://arxiv.org/abs/1908.04543
Solution of all quartic matrix models, with H. Grosse and R. Wulkenhaar, https://arxiv.org/abs/1906.04600
Nested Catalan tables and a recurrence relation in noncommutative quantum field theory, with J. De Jong and R. Wulkenhaar, Annales Henri Poincaré D 09 1 (2022) 47 https://arxiv.org/abs/1904.11231
Laplacian to compute intersection numbers on $\bar{M}_{g,n}$ and correlation functions in NCQFT, with H. Grosse and R. Wulkenhaar, Commun. Math. Phys. 399 (2023) 481 https://arxiv.org/abs/1903.12526
Noncommutative 3-colour scalar quantum field theory in 2D, with R. Wulkenhaar, Eur Phys J C 78 (2018) 580 https://arxiv.org/abs/1804.06075
Quantum Field Theory, Topological Recursion, Noncommutative Geometry, Combinatorics
Walter-Benjamin research fellow