Past Courses

• General physics, labs, U. Miami, 1995-1999

• Analytical Mechanics, tut, U. York, 2001, 2002

• Differential Equations, tut, U. York, 2001

• Physics I and II, lectures & labs, U. Patras, 2008-2012

• Introductory Mathematics,  HWU, 2013, 2014

• Mathematics for Engineers and Scientists 4, HWU,  2015

• Applied Mathematics A, HWU, 2015-2019

• Mathematics for Scientists 2, HWU, 2017, 2019

• Quantititative Methods 1, HWU, 2020, 2022

• Solitons (4th yr & MSc), HWU, 2016, 2018, 2020, 2022

• Quantum Theory (4th yr & MSc), HWU, 2024

• Introduction to Quantum Integrability, Graduate Course, U. Bologna, 2007; U. Patras, 2009; U. Kent, 2010

• Classical & Quantum Integrability, Graduate Course, U. Oldenburg, 2011

• Quantum Integrable Systems, SMSTC, Graduate Course, HWU,  2016

Related Links

• Graduate Lecture Notes:
  1. "Introduction to Quantum Integrability"
  2. "Selected Topics in Classical Integrability"
  3. "Solitons: Conservation Laws & Dressing Methods"

• PhD Opportunities, Math History

• MathWorld,  Physics World, Wikipedia

PhD Students

• N. Karaiskos, Topics in Integrable Models & String Theory, 2008-2012

• J. Yang (co-supervisor, 1st supervisor: R. Weston), 2013-2017

• I. Findlay, Integrable Hierarchies in the Lax/Zero-Curvature Formalism, 2015-2019

• I. Stylianidis (co-supervisor, 1st supervisor: S. Malham), 2015-2021

• S. Sklaveniti, Algebraic Methods in Integrable PDEs & ODEs, 2016-

• A. Cooper (co-supervisor, 1st supervisor: R. Weston), 2017-2023

• E. Sfinarolakis, Topics on the set-theoretic Yang-Baxter equation, 2024-

MSc Students

• D. Mache, Hecke algebras versus quantum groups, 2016

• C. Matsantonis, The isotropic Heisenberg model, 2016

• A. Kavvada, The Heisenberg model & underlying symmetries, 2017

• J. Reynolds, Classical integrability & Poisson structures, 2019

• S. McShane, The Yang-Baxter equation & quantum integrability, 2019

• R. Rehus, The XXZ quantum spin chain, 2021

• U. MacLennan, Hopf algebras: the Yangian, 2023

Project Students

• G. De Micheli, Braid groups, Hecke & Temperley-Lieb algebras, 2014

• D. Owen, The quantum harmonic oscillator & the q-deformed analogue, 2014

• C. Linter, Finite representations of the sl(2) algebra, 2015

• C. Adlington & C. McKinney, The time-independent Schrödinger equation, 2016

• C. de Vial, Symmetries of the XXX quantum spin chain, 2016

• S. Matthews, Canonical transformations in Hamiltonian mechanics, 2017

•  M. Belton, The time-independent Schrödinger equation, 2018

• R. McArthur, Hamiltonian description of classical mechanics, 2018

• K. Hill, Linear algebra formalism in quantum mechanics, 2018

• U. MacLennan, Yang-Baxter equation & the braid group, 2023

• I. Campbell, Lax pair description of the nonlinear Schrödinger equation, 2024

• R. Withey,  Darboux-Backlund transformations, 2024