Publications

Journal Articles

  1. & Choosing Further Mathematics. Wales Journal of Education 18(2), 23-40.
  2. & Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter. Journal of Mathematical Physics 57(5), 052103
  3. & Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem. Journal of Physics A: Mathematical and Theoretical 47(22), 225302
  4. & A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn. Journal of Mathematical Physics 54(3), 033512
  5. & The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications. Journal of Mathematical Physics 52(8), 083512-1
  6. & On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state. Journal of Mathematical Physics 49(10), 102103
  7. & The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state. Journal of Mathematical Physics 49(3), 032102
  8. & The correspondence limit of the atomic elliptic state. EPL (Europhysics Letters) 84(3)
  9. & Geometric Properties of the Maxwell Set and a Vortex Filament Structure for Burgers Equation. Letters in Mathematical Physics 80(1), 19-35.
  10. & A one-dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation. Markov Process and Related Fields 13(2)-238.
  11. & A one-dimensional analysis of real and complex turbulence and the Maxwell set for the stochastic Burgers equation. Journal of Physics A: Mathematical and General 38(32), 7093-7127.

Book Chapters

  1. & Hamilton-Jacobi Theory and the stochastic elementary formula. In New Trends in Stochastic Analysis and Related Topics, Interdisciplinary Mathematical Sciences. World Scientific.
  2. & A Burgers-Zeldovich Model for the Formation of Planetesimals via Nelson's Stochastic Mechanics. In New Trends in Stochastic Analysis and Related Topics, Interdisciplinary Mathematical Sciences.
  3. & On the stochastic Burgers equation and some applications to turbulence and astrophysics. In Analysis and stochastic of growth processes and interface models. OUP.
  4. & A one dimensional analysis of singularities and turbulence for the stochastic Burgers equation in d-dimensions.. In Proceedings of the fifth seminar on Stochastic Analysis, Random Fields and Applications, Progress in probability.

Conference Contributions

  1. & (2017). Further Mathematics and the transition between school and university mathematics. Presented at Mathematics Education beyond 16: Pathways and Transitions, University of Birmingham: Mathematics Education beyond 16: Pathways and Transitions.