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Mathematical Physics
Germany

Activities

Employment (4)

Heidelberg University: Heidelberg, DE

2024-09-01 to present | Postdoc (Institute for Mathematics)
Employment
Source: Self-asserted source
Alexander Hock

University of Oxford: Oxford, GB

2021-09-01 to 2024-08-31 | Research fellow (Mathematical Institute)
Employment
Source: Self-asserted source
Alexander Hock

University of Münster: Münster, DE

2020-04-01 to 2021-10-31 | Postdoc (Mathematical Department)
Employment
Source: Self-asserted source
Alexander Hock

University of Münster: Münster, DE

2017-04-01 to 2020-03-31 | PhD student (Mathematical Department)
Employment
Source: Self-asserted source
Alexander Hock

Professional activities (1)

Cluster of Excellence Mathematics Münster: Münster, DE

2019 to 2021
Membership
Source: Self-asserted source
Alexander Hock

Funding (4)

TRuality: Topological Recursion, Duality and Applications

2025-08-01 to 2029-07-31 | Grant
Swiss National Science Foundation (Bern, CH)
GRANT_NUMBER: 223297
Source: Self-asserted source
Alexander Hock via DimensionsWizard

Rückkehrstipendium

2024-01-01 to present | Grant
Deutsche Forschungsgemeinschaft (Bonn, DE)
GRANT_NUMBER: 551922044
Source: Self-asserted source
Alexander Hock via DimensionsWizard

Algebraic Structure, Perturbation Theory and Galois Coaction for Exactly Solvable Quantum Field Theories

2021-01-01 to present | Grant
German Research Foundation (Bonn, DE)
GRANT_NUMBER: 465029630
Source: Self-asserted source
Alexander Hock via DimensionsWizard

Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II

2019-01-01 to present | Grant
Deutsche Forschungsgemeinschaft (Bonn, DE)
GRANT_NUMBER: 418838388
Source: Self-asserted source
Alexander Hock via DimensionsWizard

Works (22)

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

2025 | Preprint
Contributors: Alexander Hock; Sergey Shadrin; Raimar Wulkenhaar
Source: Self-asserted source
Alexander Hock

Bialgebras, and Lie monoid actions in Morse and Floer theory, I

2024 | Preprint
Contributors: Guillem Cazassus; Alexander Hock; Thibaut Mazuir
Source: Self-asserted source
Alexander Hock

Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory

2024 | Preprint
Contributors: Alexander Hock; Johannes Thürigen
Source: Self-asserted source
Alexander Hock

On the x-y Symmetry of Correlators in Topological Recursion via Loop Insertion Operator

Commun.Math.Phys.
2024-07-01 | Journal article | Author
OTHER-ID: 2011459
Contributors: Alexander Hock
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

$x-y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm

2023 | Preprint
Contributors: Alexander Hock
Source: Self-asserted source
Alexander Hock
grade
Preferred source (of 2)‎

Genus Permutations and Genus Partitions

2023 | Preprint
Contributors: Alexander Hock
Source: Self-asserted source
Alexander Hock

Laplace transform of the $x-y$ symplectic transformation formula in Topological Recursion

Commun.Num.Theor.Phys.
2023 | Journal article
OTHER-ID: 2649606
Contributors: Hock, Alexander
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 3)‎

A simple formula for the x-y symplectic transformation in topological recursion

J.Geom.Phys.
2023-10-23 | Journal article
OTHER-ID: 2182755
Contributors: Hock, Alexander
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 3)‎

Complete Solution of the LSZ Model via Topological Recursion

Commun.Math.Phys.
2023-04-08 | Journal article | Author
OTHER-ID: 2087401
Contributors: Branahl, Johannes; Alexander Hock
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

A Laplacian to Compute Intersection Numbers on $\overline{{{\mathcal {M}}}}_{g,n}$ and Correlation Functions in NCQFT

Commun.Math.Phys.
2023-01-05 | Journal article | Author
OTHER-ID: 1727413
Contributors: Grosse, Harald; Alexander Hock; Raimar Wulkenhaar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

From scalar fields on quantum spaces to blobbed topological recursion

J.Phys.A
2022-10-11 | Conference paper | Author
OTHER-ID: 1950237
Contributors: Branahl, Johannes; Grosse, Harald; Alexander Hock; Raimar Wulkenhaar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Blobbed Topological Recursion of the Quartic Kontsevich Model I: Loop Equations and Conjectures

Commun.Math.Phys.
2022-05-12 | Journal article | Author
OTHER-ID: 1813640
Contributors: Branahl, Johannes; Alexander Hock; Raimar Wulkenhaar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Nested Catalan tables and a recurrence relation in noncommutative quantum field theory

Ann.Inst.H.Poincare D Comb.Phys.Interact.
2022-04-11 | Journal article
OTHER-ID: 1792845
Contributors: de Jong, Jins; Hock, Alexander; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Perturbative and Geometric Analysis of the Quartic Kontsevich Model

SIGMA
2021-09-16 | Journal article
OTHER-ID: 1835090
Contributors: Branahl, Johannes; Hock, Alexander; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Matrix Field Theory

2020-05-15 | Dissertation or Thesis
Source: Self-asserted source
Alexander Hock

Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space

JHEP
2020-01-15 | Journal article | Author
OTHER-ID: 1749276
Contributors: Grosse, Harald; Alexander Hock; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 3)‎

Solution of all quartic matrix models

2019-06-11 | Preprint
Source: Self-asserted source
Alexander Hock

Noncommutative 3-colour scalar quantum field theory model in 2D

Eur.Phys.J.C
2018-07-18 | Journal article
OTHER-ID: 1668743
Contributors: Hock, Alexander; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

An irregular spectral curve for the generation of bipartite maps in topological recursion

Journal article
OTHER-ID: 2065794
Contributors: Branahl, Johannes; Hock, Alexander
Source: check_circle
INSPIRE-HEP

Blobbed topological recursion from extended loop equations

Journal article
OTHER-ID: 2622063
Contributors: Hock, Alexander; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Blobbed topological recursion of the quartic Kontsevich model II: Genus=0

Journal article
OTHER-ID: 1853309
Contributors: Hock, Alexander; Wulkenhaar, Raimar
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Genus one free energy contribution to the quartic Kontsevich model

Journal article
OTHER-ID: 1966651
Contributors: Branahl, Johannes; Hock, Alexander
Source: check_circle
INSPIRE-HEP
grade
Preferred source (of 2)‎

Peer review (1 review for 1 publication/grant)

Review activity for Journal of mathematical physics. (1)