Jonathan Michael Foonlan Tsang (曾寬瀾)

The information here was last updated on 25 January 2019. 


  • 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.

I'm interested in granular free-surface flows. Granular flows have some similarities to normal fluid flows, but their friction laws are rather more complicated, and a number of models have been proposed. These models are good at describing steady and uniform flows, but most of them haven't been tested on more complicated geometries with streamwise or time-dependent variation.

I'm trying to do that, comparing the predictions of these models to the results of discrete particle model (DPM) simulations, which directly simulate the behaviour of O(105) particles in a chute. 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.

  • Part IB
    • Electromagnetism (Lent '16, '17)
    • Fluid Dynamics I (Lent '16, '17)
    • Quantum Mechanics (Mich. 16)
    • Variational Principles (Mich. '16--'18)
  • Part II
    • Dynamical Systems (Mich. '15)
    • Integrable Systems (Mich. '15)
    • Mathematical Biology (Lent '18)
  • Part III
    • Perturbation Methods (Lent. '16)

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). During the vacations, I help with the Teach First Futures Easter School and the Sutton Trust Summer School.

I run (along with a few others) the LGBT+ mathmos mailing list, which seeks to provide a peer-support social network for LGBT+ mathematicians at all levels. The list and our events are open to all people; do sign up if you are interested.


  • Tsang, J. M. F., Dalziel, S. B. and Vriend, N. M. (2018). The granular Blasius problem. Submitted to JFM.
  • Tsang, J. M. F., Dalziel, S. B. and Vriend, N. M. (2018). Interaction between the Blasius boundary layer and a free surface. Journal of Fluid Mechanics 839, R1.
  • 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