Skip to main content
University of Oxford logo Home

Search form

  • Log in
  • Members
  • About Us
    • Contact Us
    • Travel & Maps
    • Our Building
    • Supporting Mathematics
    • Alumni
    • History
    • Art and Oxford Mathematics
    • News
    • Vacancies
    • Equality, Diversity & Inclusion
  • Study Here
    • Undergraduate Study
    • Postgraduate Study
    • Current Students
  • Research
    • Research Groups
    • Case studies
    • Faculty Books
  • Outreach
    • Posters
    • Oxford Mathematics Alphabet
    • Oxford Online Maths Club
    • It All Adds Up
    • Problem Solving Matters
    • PROMYS Europe
    • Oxfordshire Maths Masterclasses
    • Maths Week England
    • Outreach Information
    • Mailing List
  • People
    • Key Contacts
    • University People Search
    • People list
    • A Global Department
    • Research Fellowship Programmes
    • Professional Services Teams
  • Events
    • Conference Facilities
    • Public Lectures & Events
    • Departmental Seminars & Events
    • Special Lectures
    • Conferences
    • Summer Schools
    • Past Events
    • Alumni newsletters
    • Info for event organisers and attendees

Primary tabs

  • View(active tab)
  • Contact
A

Dr Alexander Hock

PhD
Status
Affiliate Researcher

PhD Thesis

https://arxiv.org/abs/2005.07525

 

Contact form
+44 1865 615172
ORCID iD
https://orcid.org/0000-0002-8404-4056
Research groups
  • Mathematical Physics

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Prizes, awards, and scholarships

Walter-Benjamin research fellow

Major / recent publications

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. (accepted) https://arxiv.org/abs/2205.12166

A 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 3 (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. 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

Research interests

Quantum Field Theory, Topological Recursion, Noncommutative Geometry, Combinatorics

Oxford Mathematics Twitter
Oxford Mathematics Facebook
Oxford Mathematics Instangram
Oxford Mathematics Youtube

© Mathematical Institute
Website Accessibility Statement
Website Privacy Policy & Cookies Statement

Good practice scheme
Athena SWAN silver award
Stonewall workplace equality
sfy39587stp18