Fergal Murphy
Research

Research

Papers
Submitted 2026 — arXiv:2606.12607

Compatibility of Higher-Order Slow-Manifold Reduction and Continuum Limits in Adaptive Networks

Christian Kuehn, Fergal Murphy, and Jan-Eric Sulzbach

→ arXiv
Submitted 2026 — arXiv:2603.19382

Emergent Higher-Order Structure from Fast Adaptive Networks

Christian Kuehn and Fergal Murphy

→ arXiv
Submitted 2025 — arXiv:2512.00043

Simplicial Complex Emergence on Directed Hypergraphs

Christian Kuehn and Fergal Murphy

→ arXiv
Talks & posters
  • Higher-order structure and continuum limits in fast adaptive networks Poster, Dynamics Days Europe, Lisbon, Portugal — July 2026
  • Emergent Higher-Order Structure from Fast Adaptive Networks Invited talk, Amsterdam Dynamics Seminar, Netherlands — April 2026
  • Simplicial emergence in adaptive higher-order networks Invited talk, Recent Trends in Coupled Oscillator Systems, Weierstrass Institute, Berlin — January 2026
  • Invariant Polynomials in Harmonic Analysis Poster, Irish Mathematical Society Annual Meeting, Belfast — August 2024
Conferences & schools
  • Dynamics Days Europe Lisbon, Portugal — July 2026
  • Recent Trends in Coupled Oscillator Systems Weierstrass Institute, Berlin — January 2026
  • BeyondTheEdge Conference Marseille, France — October 2025
  • Heidelberg Laureate Forum Heidelberg, Germany — September 2025
  • Networked Math Flows Banach Centre, Będlewo, Poland — September 2025
  • NetSci Maastricht, Netherlands — June 2025
  • TUM IGSSE Forum Reitenhaslach, Germany — May 2025
  • BeyondTheEdge Kick-off Conference VU Amsterdam, Netherlands — November 2024
Theses
Master's thesis — University College Cork, 2024

Invariant Polynomials and Equiaffine Invariant Measures for Certain Two-Surfaces

→ Open thesis Bachelor's thesis — Queen's University Belfast

Operators on Hilbert Space

→ Read PDF
Supervision & service
2026 – now
MSc thesis supervision Technical University of Munich

Jonas Treplin, Limits of hypergraphs via bigraphon representations.

2026
Refereeing IOP Publishing

Referee for Journal of Physics: Complexity and Physica Scripta.

In the media

Quoted as a mathematics PhD researcher in Ireland's AI crossroads – regulation and the race for talent, The Irish Times, 11 December 2025.

People & networks

Links

Research group

Multiscale & Stochastic Dynamics

The research group in which I am currently based.

→ Visit Supervisor

Prof. Christian Kuehn

Research profile and group information.

→ Visit Doctoral network

BeyondTheEdge

EU-funded doctoral network.

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