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Alexander Belton supervises 1 postgraduate research students. If these students have produced research profiles, these are listed below:

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Dr Alexander Belton CMath, CSci, FIMA, SFHEA

Senior Lecturer

Alexander Belton

Lancaster University

Fylde College



Tel: +44 1524 592371

PhD supervision

I am keen to supervise PhD students who wish to work in the field of non-commutative probability. Topics of particular interest to me include the theory of quantum random walks, non-commutative stopping times and non-standard forms of probabilistic independence.

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Research Interests

The majority of my research takes place within the field of quantum probability, a branch of mathematics which involves functional analysis, probability theory and quantum mechanics. At present I am investigating Feynman-Kac perturbations of quantum dynamical semigroups, the general theory of quantum random walks and the theory of non-commutative stopping times.

I also have a strong interest in the classical theory of stochastic processes and its applications to financial mathematics.

Recently I have started a new research theme, in the area of matrix positivity.

Research Grants

  • Leverhulme Trust RPG-2014-196 Quantum Random Walks and Quasi-free Quantum Stochastic Calculus (January 2014 - January 2016)

Current Teaching

  • MATH215b Complex Analysis
  • MATH411 Operator Theory

Professional Role

  • Part I director of studies
  • Department representative and Northern Regional Committee member for the London Mathematical Society
  • Department representative for the Institute of Mathematics and its Applications
  • Head of undergraduate teaching (Lent Term 2015)
  • Undergraduate-admissions tutor (August 2008 - August 2012)

PhD Supervisions Completed

  • Michał Gnacik (2010-14)

Business and Enterprise

  • Member of the Faculty of Science and Technology Marketing Committee (January 2010 - November 2012)

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