University of Münster
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Dr. Alexander Hock

No current affiliations available for this person. The person is no longer active at the university.

Curriculum Vitae (CV)

  • Matrix Models
  • Exactly solvable qunatum field theories
  • Topological recursion

Academic Education

2017 - 2020PhD studies in mathematics, University of Münster
01/2019 - 04/2019PhD studies in mathematics, Tokyo University of Science
2014 - 2017Master studies in physics, University of Münster
2011 - 2014Bachelor studies in physics, University of Münster

Functions and Memberships

since 2019Member of the Cluster of Excellence "Mathematics Münster"
since 2018Member of the RTG "Strong and Weak Interactions - from Hadrons to Dark Matter"
since 2010Member of the German Physical Society

Publications

Solution of all quartic matrix models
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar (2025)
In: Advances in Mathematics, 481, 110551. doi:10.1016/j.aim.2025.110551
Research article (journal) | Peer reviewed | Published
Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
Hock, Alexander; Wulkenhaar, Raimar; Dołega, Maciej (appendix) (2025)
In: Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, 12, 545-619. doi:10.4171/AIHPD/198
Research article (journal) | Peer reviewed | Published
Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory
Hock, A; Thürigen, J (2024)
In: arXiv:2404.03389.
Research article in digital collection | Preprint | submitted / under review
A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar (2023)
In: Communications in Mathematical Physics, 399, 481-517. doi:10.1007/s00220-022-04557-w
Research article (journal) | Peer reviewed | Published
Nested Catalan tables and a recurrence relation in noncommutative quantum field theory
de Jong, Jins; Hock, Alexander; Wulkenhaar, Raimar (2022)
In: Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, 9(1), 47-72. doi:10.4171/AIHPD/113
Research article (journal) | Peer reviewed | Published
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Talks

Solution of φ^4_4 on the Moyal Space
Hock, Alexander (19/11/2020)
Algebraic Structures in Perturbative Quantum Field Theory, IHES, Paris, France
Type of talk: scientific talk
From the quartic analogue of the Kontsevich model to the Hermitian 2-Matrix Model
Hock, Alexander (27/05/2020)
Séminaire Tensor Journal Club, France (remote talk)
Type of talk: scientific talk
Topological Recusion of the Kontsevich Model and its Quartic Analogue
Hock, Alexander (04/12/2019)
Research Seminar: Algebraic Geometry, Tübingen
Type of talk: scientific talk
Solution of the noncommutative φ^4_4 model
Hock, Alexander (26/10/2019)
LQP, Foundations and Constructive Aspects of QFT, Göttingen
Type of talk: scientific talk
Matrix Field Theory
Hock, Alexander (12/03/2019)
Research Seminar: Differential Geometry, Tokyo University of Science
Type of talk: scientific talk
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Doctorates

Matrix Field Theory
Candidate: Hock, Alexander | Supervisors: Wulkenhaar, Raimar
Period of time: 01/08/2017 - 11/03/2020
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster