Dr Daniel Jones MSci PhD

Dr Daniel Jones

School of Mathematics
Lecturer

Contact details

Address
School of Mathematics
Watson Building
University Âé¶¹¾«Ñ¡
Edgbaston
Birmingham
B15 2TT
UK

Daniel has published papers in the area of tropical linear algebra (a.k.a. max-plus algebra) including: special cases of the generalised eigenproblem; links between two-sided systems and the assignment problem and tropical matrix roots. He also has research in fire propagation in urban areas using techniques of: cellular automata, convex analysis and min-plus algebra.

He enjoys teaching and is enthusiastic about encouraging younger people to pursue Mathematics at the University level through talks at schools and applicant visit days.

Qualifications

  • PhD in Management Mathematics, University Âé¶¹¾«Ñ¡, 2017
  • MSci in Mathematics, University Âé¶¹¾«Ñ¡, 2013

Biography

Daniel Jones is a Lecturer in the School of Mathematics. Daniel completed his PhD in Management Mathematics in the School of Mathematics, University Âé¶¹¾«Ñ¡ in 2017, studying ‘max-plus algebra’. He then went on to complete a year of post-doctoral research at the École polytechnique, Paris, France where he explored the behaviour of fire propagation in urban areas.

Daniel’s main research interest is in max-plus algebra (also called tropical linear algebra) – mainly the study of two-sided linear systems and the generalised eigenproblem. His work to date includes: polynomial solution methods of two-sided systems in special cases; a link between two-sided systems and the assignment problem; tropical roots of matrices and, more recently, convex analysis and its link with fire propagation.

Teaching

Semester 2

LH Game Theory and Multicriteria Decision Making (Jinan)

Research

Research Themes

  • Fire propagation in urban areas
  • Tropical matrix roots
  • Two-sided max-linear systems and the assignment problem
  • Special cases of the generalised max-plus eigenproblem

Research Activity

My main research interests are two-sided max-linear systems in tropical (max-plus) algebra and tropical matrix roots. I also have interests in cellular automata and their connection with the spread of fire in urban environments.

Publications

Recent publications

Article

Leek, R, Jones, D & Meyer, JC 2025, '', Teaching Mathematics and its Applications.

Jones, D 2021, '', Linear Algebra and its Applications, vol. 631, pp. 10-34.

Jones, D, Meyer, JC & Huang, J 2021, '', MSOR Connections, vol. 19, no. 1, pp. 47-54.

Jones, D 2018, '', Discrete Applied Mathematics.

Butkovic, P & Jones, D 2016, '', S I A M Journal on Matrix Analysis and Applications, vol. 37, no. 3, pp. 1002–1021.