Jonathan Michael Foonlan Tsang

The information here was last updated on 22 December 2017. 


  • October 2015-present: PhD candidate, supervised by Nathalie Vriend and Stuart Dalziel.
  • 2014-2015: Part III of the Mathematical Tripos, University of Cambridge. 
  • 2011-2015: Mathematical Tripos, Queens' College, University of Cambridge. 


I am a member of the granular mechanics research group. I am funded by EPSRC, and supervised by Dr Nathalie Vriend and Prof Stuart Dalziel.

My research is on 'granular rheology', the flow of dry granular materials such as sand and gravel. Granular flows have some similarities to fluid flows, but they are governed by dry friction instead of viscosity. The friction laws are rather complicated, and while a number of models have been proposed, we don't have a universally valid (or accepted) set of equations of motion.

Uniform granular flows are fairly well described by these models. I am trying to apply these models to more complicated topography, such as curves or bumps, and comparing the results against discrete particle model (DPM) simulations.

I am a developer for MercuryDPM, a package for DPM simulations.


I have supervised various courses in the Mathematical Tripos. Most of my students are from Queens', although I supervise for other colleges as well.

  • Michaelmas 2015: Dynamical Systems and Integrable Systems
  • Lent 2016: Electromagnetism, Fluid Dynamics I, and marking for part of Perturbation Methods
  • Michaelmas 2016: Variational Principles and Quantum Mechanics
  • Lent 2017: Electromagnetism and Fluid Dynamics I
  • Michaelmas 2017: Variational Principles

Please contact me if you would like me to supervise your students in these or related courses.

Other mathematical activities

I am a member of Queens' College and was a founding member of the Queens' College Mathematical Society during its (re)foundation in 2014.

I am regularly involved with outreach activities both for the Faculty of Mathematics and at Queens'. These include open days and Easter/summer schools (taster courses for sixth form students, which are free of charge for eligible students). In 2016 I helped at the Teach First Futures Easter School and the Sutton Trust Summer School.


  • Tsang, J. M. F., Dalziel, S. B. and Vriend, N. M. (2017). Interaction between the Blasius boundary layer and a free surface. Submitted to JFM Rapids.
  • Weinhart, T., ..., Tsang, J. M. F., Jin, B., ..., Luding, S. and Thornton, A. R. (2017). MercuryDPM: Fast, flexible particle simulations in complex geometries - Part II: Applications. V International Conference on Particle Based Methods, Fundamentals and Applications (Particles 2017).
  • Zabet, N. and Tsang, J. (2015). DMRcaller: Differentially Methylated Regions caller. R package version 0.99.5.
  • Zabet, N. R., Tsang, J. M. F., Catoni, M. & Paszkowski, J. (2014), ’A fast and versatile computational tool to identify differentially methylated regions in CG and non-CG context’, In EpiGeneSys 4th Annual Meeting, 27–29 November, Centre of Genomic Regulation (CRG), Barcelona, Spain.


  • Email: jmft2 at cam dot ac dot uk
  • Office: +44 (0)1223 337887