Prof. Andras Juhasz

PhD (Princeton)

Status

Academic Faculty

Professor of Mathematics

Tutorial Fellow at Keble College

+44 1865 273544

Contact form

https://zbmath.org/authors/juhasz.andras

https://www.keble.ox.ac.uk/people/andras-juhasz/

https://people.maths.ox.ac.uk/juhasza/

ORCID iD

https://orcid.org/0000-0003-3705-2288

Research groups

Topology

Address

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

Major / recent publications

Differential and low-dimensional topology, LMS Student Texts 104, Cambridge University Press, 2023.

On Fox's trapezoidal conjecture, Algebraic & Geometric Topology, to appear (joint with Soheil Azarpendar and Tamás Kálmán)

AI and Mathematics: Public Good, Credit, and Education, opinion piece that appeared in Proofs and Prompts

We Need to Improve Benchmarks in AI4Math, to appear in Advances in Neural Information Processing Systems 2026 (joint with Simon Frieder, Jonas Bayer, Sam Looi, Jacob Loader, Julius Berner, Katherine M. Collins, Fabian Ruehle, Sean Welleck, Gabriel Poesia, Ionut-Cosmin Mistreanu, Ryan-Rhys Griffiths, Adrian Weller, Anirudh Goyal, Thomas Lukasiewicz, Cameron Freer, Kevin Buzzard, W. T. Gowers)

Research interests

Low-dimensional and differential topology

Heegaard Floer homology

Applications of machine learning to mathematics

Prizes, awards, and scholarships

2023 Whitehead Prize

2016-2021 ERC Starting Grant OXTOP

2011-2018 Royal Society Research Fellow

2008 Géza Grünwald Commemorative Prize

2005 Pro Scientia Gold Medal

2003 Kató Rényi Memorial Prize, First Category

Recent publications

Computations of the slice genus and the unknotting number of links via machine learning

Dai, Y Hayman, O Juhász, A Morellato, L (07 Oct 2026) https://arxiv.org/abs/2610.10206v1

Quantum braid Floer homology

Anghel, C Juhász, A (13 Jan 2026) https://arxiv.org/abs/2601.08805v4

The unknotting number, hard unknot diagrams, and reinforcement learning

Lackenby, M Blackwell, S Davies, A Edlich, T Juhasz, A Tomašev, N Zhang, D Experimental Mathematics (18 Aug 2025) doi:10.1080/10586458.2025.2542174

Data for Mathematical Copilots: Better Ways of Presenting Proofs for Machine Learning

Frieder, S Bayer, J Looi, S Loader, J Berner, J Collins, K Juhász, A Ruehle, F Welleck, S Poesia, G Griffiths, R Weller, A Goyal, A Freer, C Lukasiewicz, T Gowers, T (19 Dec 2024) https://arxiv.org/abs/2412.15184v2

Examples of topologically unknotted tori

Juhasz, A Powell, M Transactions of the American Mathematical Society volume 11 issue 37 1266-1293 (06 Nov 2024) doi:10.1090/btran/202

Teaching

C3.1 Algebraic Topology

C3.12 Low-Dimensional Topology and Knot Theory