معرفی
Professor Alexander Belton is affiliated with the School of Mathematical Sciences at Lancaster University. He holds the academic rank of Professor and is a Chartered Mathematician (CMath), Chartered Scientist (CSci), Fellow of the Institute of Mathematics and its Applications (FIMA), and Senior Fellow of the Higher Education Academy (SFHEA). His professional roles include Deputy Head of Department, Head of Pure Mathematics Section, and Head of Undergraduate Teaching and Admissions.
- Current Teaching: MATH412 Topology and Fractals
- Research Grants: Leverhulme Trust RPG-2014-196 (Quantum Random Walks and Quasi-free Quantum Stochastic Calculus, January 2014 - January 2016)
Professor Belton's research spans two primary fields: Quantum Probability, an interdisciplinary area combining functional analysis, probability theory, and quantum mechanics, and Matrix Positivity, a domain in linear algebra with diverse applications. His work explores quantum random walks, non-commutative stopping times, and exotic forms of independence. Key subfields include free independence, random matrix theory, and quantum information theory.
His recent article (2023) on Totally positive kernels, Pólya frequency functions, and their transforms reflects his focus on mathematical structures with applications in probability and quantum mechanics. He supervises PhD students in analysis, probability theory, and mathematical physics.
Scientific Awards:
- Chartered Mathematician (CMath)
- Chartered Scientist (CSci)
- Fellow of the Institute of Mathematics and its Applications (FIMA)
- Senior Fellow of the Higher Education Academy (SFHEA)
Professor Belton actively engages in academic activities, including conference participation, editorial roles, and visiting appointments at institutions like University College Cork and the Indian Institute of Science, Bangalore. His contributions to education include leadership in undergraduate admissions and teaching.
