Dr Anton Ilderton

Dr Anton Ilderton

Lecturer in Mathematical Sciences

School of Engineering, Computing and Mathematics (Faculty of Science and Engineering)


Lecturer in Theoretical Physics


  • PhD in high energy physics, Centre for Particle Theory, Durham (2006)
  • C.Adv.S.M. (Part III Mathematics), Distinction, Cambridge 2001
  • MA (Hons) Mathematics, 1st Class, Cambridge, 2000

Professional membership

  • Member of the EPSPC Peer Review College
    Fellow of the H.E.A.

Teaching interests

I currently teach:

  • Linear algebra in the first year (see MATH1603 on the course page)
  • Ordinary differential equations in the second year (MATH2603)
  • Quantum mechanics in the third year (MATH3606)

Research interests

My research is on quantum field theory under the influence of external conditions. I am interested in how strong fields (as found in magnetars, in the collision point of particle colliders, and as may be produced by ultra-intense lasers) can be used to probe fundamental physics both within the standard model and beyond. I am especially interested in exactly solvable models, nonperturbative phenomena, and lighfront methods.

I have recently written papers on graviational waves, super-integrable systems, Yang-Mills on nontrivial backgrounds, and the analytic structure of scattering amplitudes in background fields.

The theory developments in my research have direct application to experiments at intense laser facilities including the pan-European Extreme Light Infrastructure (ELI) and the UK’s Central Laser Facility. As such I was part of the collaboration that, in 2018, published the first observation of subtle quantum effects in laser-particle collisions, PRX 8 (2018) 011020.

Since 2016 I have brought in GBP 681,000 to the University of Plymouth in research funding, as Principal Investigator. These grants fund three postdoctoral researchers in the school.

Grants & contracts

Active grants
Principal investigator
on the Leverhulme Trust grant "Uncharted regimes of light-matter interactions" (with Tom Heinzl) (2019-2021)
Joint P-I on the EPSRC grant "Quantum phenomena in high-intensity laser-matter interactions" (with Ben King) (2019-2021)

Recently completed grants
on the Royal Society grant "New contributions for QED in background fields" (with James Edwards) (2018-2020)

Previous grants
Marie Curie Individual fellowship (2016-2017)
on an Olle Engkvist Foundation award (2015-2016)
on a Swedish Research Council award (2012-2015)

Key publications are highlighted


A full list of my publications is available at inSPIRE or at Google Scholar.

Reports & invited lectures

2018: PhD course on "Strong Field QED", Chalmers University, Gothenburg, Sweden.

2017: Lecturing at the ELI-NP summer school on intense laser physics, Romania.

2015: Lecturing at the ELI-NP summer school on intense laser physics, Romania.