Accessibility statement

Matt Hodgson
Associate Lecturer



I am an Associate Lecturer in the School of Physics, Engineering and Technology specialising in theoretical and computational physics. My research delves into the intricacies of many-body quantum theory and its practical applications, particularly in modeling the electron excitation properties of materials.

  • PhD in physics, The University of York, UK (2012-2016)
  • MPhys in theoretical physics with First class honours, The University of York, UK (2008-2012)


  • Associate Lecturer of theoretical physics, The University of York, UK (2021-)
  • Visiting Research Scientist, Durham University, UK (2019-2021)
  • Researcher, Max Planck Institute of Microstructure Physics, Germany (2016-2019)


School roles

  • Coordinator of the virtual learning environment 
  • UCAS interviewer
  • Standing Committee for Academic Misconduct Panel Member
  • Careers & Employability Coordinator



  • Third-year Advanced Theoretical Techniques
  • First- and second-year core Mathematics.



With extensive research experience in condensed matter physics, my focus is on advancing our understanding of excited states within density functional theory. My research achievements include the development of the iDEA code, a versatile Python library for exploring exact solutions and practical approximations within many-body quantum mechanics, fundamental insights into the calculation of excited electron states within density functional theory, and the creation of a method for accurately simulating many-electron real-time dynamics. My ultimate goal is to bring the same level of success to the calculation of excited states as has been achieved for the ground state.


Selected publications

  • "Machine learning the derivative discontinuity of density-functional theory" J. Gedeon, J. Schmidt, M. J. P. Hodgson, J. Wetherell, C. L. Benavides-Riveros and M. A. L. Marques, 2022 Mach. Learn.: Sci. Technol. 3 015011 (2021) 
  • "Exact expressions for the height of the interatomic step in the exchange-correlation potential from the derivative discontinuity of the energy" M. J. P. Hodgson, Physical Review A 104 032803 (2021) 
  • "From Kohn-Sham to many-electron energies via step structures in the exchange-correlation potential" E. Kraisler, M. J. P. Hodgson and E. K. U. Gross, Journal of Chemical Theory and Computation 17 (3), 1390–1407 (2021) 
  • "Exact exchange-correlation potentials for calculating the fundamental gap with a fixed number of electrons" M. J. P. Hodgson, J. Wetherell and E. Fromager, Physical Review A 103, 012806 (2021) 
  • "Accurate real-time evolution of electron densities and ground-state properties from generalized Kohn-Sham theory" M. J. P. Hodgson and J. Wetherell, Physical Review A 101, 032502 (2020) 
  • "How Interatomic Steps in the Exact Kohn-Sham Potential Relate to Derivative Discontinuities of the Energy" M. J. P. Hodgson, E. Kraisler, A. Schild, and E. K. U. Gross, The Journal of Physical Chemistry Letters 8 (24), 5974–5980 (2017) 
  • "Origin of static and dynamic steps in exact Kohn-Sham potentials" M. J. P. Hodgson, J. D. Ramsden and R. W. Godby, Physical Review B 93, 155146 (2016) (Editors' Suggestion).

Full publications list

For a full list of my publications see my personal webpage

School of Physics, Engineering and Technology
University of York
YO10 5DD
Room: A/010

External activities


  • European Theoretical Spectroscopy Facility 
  • Royal Society of Chemistry (2020-2022).
  • Institute of Physics