Alexander Belton joined the University of Plymouth in September 2022 after 15 years with Lancaster University. At Lancaster he held a number of senior roles within the Department of Mathematics and Statistics, including five years as Head of Department. Prior to his time at Lancaster he held postdoctoral research positions at University College Cork, Université Claude Bernard Lyon 1 and Université Louis Pasteur Strasbourg 1.

Professor Belton was a key figure in the establishment of the Lancaster University School of Mathematics and is a trustee of its governing trust.

• Elected Member of Council, Institute of Mathematics and its Applications
• Committee Member, Heads of Departments of Mathematical Sciences
• Advisory Board Member (Education Workstream), Academy for the Mathematical Sciences
• Member, Personnel Committee, London Mathematical Society
• Trustee, Rigby Education Trust
• Member, EPSRC Peer Review College
• Member, UKRI Talent Peer Review College

• Senior Fellow, Higher Education Academy
• Fellow, Institute of Mathematics and its Applications
• Member, London Mathematical Society
• Fellow, Royal Statistical Society
• Chartered Mathematician
• Chartered Scientist
• Member, American Mathematical Society
• Member, Irish Mathematical Society

PhD students

• Michał Gnacik (2014)
• Jason Hancox (2018)

Research interests

• Matrix positivity
• Quantum probability
• Open quantum systems
• Operator semigroups

MATH1705 Probability (with Colin Christopher)

External examiner

• Manchester Metropolitan University (2021-25)
• University College Cork (2022-25)
• University Kebangsaan Malaysia (2021-23)
• Bangor University International College (2018-22)

Conferences organised

• Co-organiser (with Emilio Porcu and Mihai Putinar), workshop on Applied Matrix Positivity 2, International Centre for Mathematical Sciences, Edinburgh (November 2024)
• Co-organiser (with Dominique Guillot), mini-symposium on Matrix positivity: theory and applications, 2022 Meeting of the International Linear Algebra Society, National University of Ireland Galway (June 2022)
• Co-organiser (with Emilio Porcu and Mihai Putinar), workshop on Applied Matrix Positivity, International Centre for Mathematical Sciences, Edinburgh (July 2021)

Other academic activities

• Editor, Infinite Dimensional Analysis, Quantum Probability and Related Topics, World Scientific
• Editorial Advisory Board Member, Concrete Operators, de Gruyter