Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

Research Interests

My research takes place within two fields: quantum probability, a branch of mathematics involving functional analysis, probability theory and quantum mechanics, and matrix positivity, an area of linear algebra with diverse applications.

Mathematical Sciences RA
01/04/2021 → 31/12/2023
Research

Applied Matrix Positivity
01/03/2021 → 30/06/2021
Research

An introduction to quantum filtering
24/06/2019 → 13/09/2019
Research

Quantum Random Walks and Quasi-Free Quantum Stochastic Calculus
05/01/2015 → 04/01/2017
Research

New Challenges in Operator Semigroups conference
Participation in conference - Academic

2022 Meeting of the International Linear Algebra Society
Participation in conference -Mixed Audience

Mathematical Sciences Seminar, University College Cork
Participation in workshop, seminar, course

Positivity Problems Associated to Permutation Patterns
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

HoDoMS Annual Conference and AGM
Participation in conference -Mixed Audience

Analysis and Probability Research Group Seminar, Indian Institute of Science, Bangalore
Participation in workshop, seminar, course

LMS Annual General Meeting
Participation in workshop, seminar, course

University of Delhi (External organisation)
Membership of committee

Manchester Metropolitan University, Manchester
Visiting an external academic institution

Mediterranean Journal of Mathematics (Journal)
Publication peer-review

Infinite Dimensional Analysis, Quantum Probability and Related Topics (Journal)
Editorial activity

University Kebangsaan Malaysia
Visiting an external academic institution

Journal of Statistical Physics (Journal)
Publication peer-review

OfS digital teaching and learning review: STEM expert workshop
Participation in workshop, seminar, course

Engineering and Physical Sciences Research Council (External organisation)
Membership of committee

Annali di Matematica Pura ed Applicata (Journal)
Publication peer-review

Portsea Maths Research Webinar
Participation in workshop, seminar, course

ATLAS Reviewing and Support briefing session
Participation in workshop, seminar, course

HoDoMS Annual Conference and AGM
Participation in conference -Mixed Audience

PhD external examiner
Examination

Celebrating Diverse and Inclusive Leaders from the N8 Partnership
Participation in workshop, seminar, course

AdvanceHE Professional Development Course for External Examiners
Participation in workshop, seminar, course

Engineering and Physical Sciences Research Council (External organisation)
Membership of committee

Special Matrices (Journal)
Publication peer-review

40th International Conference on Quantum Probability and Infinite Dimensional Analysis
Participation in conference -Mixed Audience

Annales Henri Poincaré (Journal)
Publication peer-review

NBFAS Meeting, Lancaster University
Participation in workshop, seminar, course

British Mathematical Colloquium
Participation in conference -Mixed Audience

HoDoMS Annual Conference and AGM
Participation in conference -Mixed Audience

EPSRC Mathematical Sciences Heads of Department meeting
Participation in workshop, seminar, course

Mathematics Colloquium, Swansea University
Participation in workshop, seminar, course

Mathematics Seminar, Indian Institute of Science, Bangalore
Participation in workshop, seminar, course

Conference on Recent Advances in Operator Theory and Operator Algebras 2018
Participation in conference -Mixed Audience

Indian Institute of Science, Bangalore
Visiting an external academic institution

Bangor University
Visiting an external academic institution

LMS Annual General Meeting and Naylor Lecture
Participation in workshop, seminar, course

NBFAS Meeting, University of Oxford
Participation in workshop, seminar, course

CMO-BIRS Workshop on Quantum Transport Equations and Applications
Participation in workshop, seminar, course

Bangor University International College
Visiting an external academic institution

18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications
Participation in conference -Mixed Audience

Department for Education (External organisation)
Membership of committee

LMS Hardy Lecture and Society Meeting
Participation in workshop, seminar, course

NBFAS Meeting, Newcastle University
Participation in workshop, seminar, course

University of Brighton (External organisation)
Membership of committee

HoDoMS Annual Conference and AGM
Participation in conference -Mixed Audience

NBFAS 50th Anniversary Meeting
Participation in conference -Mixed Audience

Lancaster Analysis Days 2018
Participation in conference -Mixed Audience

Discussion meeting on foundations of quantum mechanics and their impact on contemporary society
Participation in conference -Mixed Audience

Journal of Applied Analysis (Journal)
Publication peer-review

EPSRC Mathematical Sciences Heads of Department meeting
Participation in workshop, seminar, course

Physica A: Statistical Mechanics and its Applications (Journal)
Publication peer-review

2017 Meeting of the International Linear Algebra Society
Participation in conference -Mixed Audience

IMA Annual General Meeting and Gold Medal Lecture
Public Lecture/ Debate/Seminar

Combinatorial Techniques in Analysis and Probability meeting
Participation in conference -Mixed Audience

Mathematics Seminar, Indian Institute of Science, Bangalore
Participation in workshop, seminar, course

Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore
Visiting an external academic institution

NBFAS Meeting, University of Birmingham
Participation in workshop, seminar, course

Mathematics Ancient and Modern outreach talk
Public Lecture/ Debate/Seminar

Scottish Operator Algebras Research meeting
Participation in conference -Mixed Audience

University of Göttingen
Visiting an external academic institution

Conference on Invariant Subspaces and Banach Algebras
Participation in conference -Mixed Audience

International Journal of Analysis (Journal)
Publication peer-review

International Centre for Mathematical Sciences
Visiting an external academic institution

LMS Hardy Lecture and Society Meeting
Participation in workshop, seminar, course

LMS Northern Regional Meeting, University of Manchester
Participation in conference -Mixed Audience

SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) (Journal)
Publication peer-review

Institut Camille Jordan, Université Claude Bernard Lyon 1 (External organisation)
Membership of committee

NBFAS Meeting, Queen's University Belfast
Participation in workshop, seminar, course

Discussion meeting on quantum technology for the 21st century
Participation in conference -Mixed Audience

Analysis Seminar, University of Glasgow
Participation in workshop, seminar, course

UK Easter Probability Meeting 2016
Participation in conference -Mixed Audience

Hindustan Book Agency (Publisher)
Publication peer-review

Scottish Operator Algebras Research meeting
Participation in conference -Mixed Audience

LMS Mary Cartwright Lecture and Society Meeting
Participation in workshop, seminar, course

Indian Statistical Institute (Bangalore Centre)
Visiting an external academic institution

Tbilisi Mathematical Journal (Journal)
Publication peer-review

Advances in Difference Equations (Journal)
Publication peer-review

Sheffield Probability Day
Participation in workshop, seminar, course

George Boole Mathematical Sciences Conference
Participation in conference -Mixed Audience

Differential Equations and Applications (Journal)
Publication peer-review

QOP Meeting in Warsaw, Quantum Probability, Groups and Geometry
Participation in conference -Mixed Audience

Newcastle University Spring School on Several Complex Variables
Participation in workshop, seminar, course

NBFAS Meeting, University of Edinburgh
Participation in workshop, seminar, course

LMS Mary Cartwright Lecture and Society Meeting
Participation in workshop, seminar, course

London Mathematical Society 150th Anniversary Launch
Public Lecture/ Debate/Seminar

QOP Meeting in Leeds
Participation in conference -Mixed Audience

Conference on Recent Advances in Operator Theory and Operator Algebras 2014
Participation in conference -Mixed Audience

Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore
Visiting an external academic institution

Journal of Theoretical Probability (Journal)
Publication peer-review

NBFAS Meeting, University of Leeds
Participation in workshop, seminar, course

EPJ Quantum Technology (Journal)
Publication peer-review

Workshop on Positivity, Graphical Models, and Modeling of Complex Multivariate Dependencies, American Institute of Mathematics
Participation in workshop, seminar, course

Journal of Mathematical Analysis and Applications (Journal)
Publication peer-review

QOP Meeting in Lancaster
Participation in conference -Mixed Audience

Quantum Control Engineering: Mathematical Solutions for Industry (Open for Business event)
Participation in workshop, seminar, course

Quantum Control Engineering: Mathematical Principles and Applications
Participation in conference -Mixed Audience

EDT Headstart Summer School
School Engagement

University College Cork
Visiting an external academic institution

NBFAS Meeting, University of Glasgow
Participation in workshop, seminar, course

Springer (Publisher)
Publication peer-review

Young Functional Analysts' Workshop 2014
Participation in conference -Mixed Audience

Sheffield Probability Day 2014
Participation in conference -Mixed Audience

Qymru Workshop on Open Quantum Systems and Quantum Control
Participation in workshop, seminar, course

LMS Northern Regional Meeting, Durham University
Participation in conference -Mixed Audience

NBFAS Meeting, University of Edinburgh
Participation in workshop, seminar, course

Workshop and Conference in Honour of Professor K. B. Sinha's 70th Birthday
Participation in conference -Mixed Audience

Mathematical Communications (Journal)
Publication peer-review

Noncommutative Geometry Seminar, Mathematical Institute of the Polish Academy of Sciences
Participation in workshop, seminar, course

Polish Academy of Sciences
Visiting an external academic institution

Sheffield Probability Day 2013
Participation in conference -Mixed Audience

QOP Meeting in Leeds, Quantum (semi)groups and (co)actions.
Participation in conference -Mixed Audience

QOP Meeting in Warsaw, Banach Algebras and C* Algebras
Participation in conference -Mixed Audience

Workshop on Quantum Probability, Statistics and Control
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

NBFAS Meeting, Lancaster University
Participation in workshop, seminar, course

LMS Scheme 3 Meeting - Probability and Noncommutative Harmonic Analysis
Participation in workshop, seminar, course

QOP Meeting in Lancaster, Banach and Operator Spaces
Participation in conference -Mixed Audience

NBFAS Meeting, University of Sheffield
Participation in workshop, seminar, course

LMS Northern Regional Meeting, Newcastle University
Participation in conference -Mixed Audience

University College Cork
Visiting an external academic institution

Sheffield Probability Day 2012
Participation in conference -Mixed Audience

University College Cork (External organisation)
Membership of committee

NBFAS Meeting, Newcastle University
Participation in workshop, seminar, course

33rd International Conference on Quantum Probability and Related Topics
Participation in conference -Mixed Audience

Ulverston Victoria High School
School Engagement

Indiana University Mathematics Journal (Journal)
Publication peer-review

Workshop on Probabilistic Methods in Quantum Mechanics
Participation in workshop, seminar, course

Routledge (Publisher)
Publication peer-review

Functional Analysis Seminar, Université de Franche-Comté
Participation in workshop, seminar, course

Université de Franche-Comté
Visiting an external academic institution

Elizabeth College, Guernsey
School Engagement

Guernsey Grammar School
School Engagement

Hautlieu School, Jersey
School Engagement

NBFAS Meeting, University of Oxford
Participation in workshop, seminar, course

The Big Bang Fair 2012
Festival/Exhibition/Concert

Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences (Journal)
Publication peer-review

Conference on Quantum Probability, Noncommutative Geometry and Quantum Information
Participation in conference -Mixed Audience

Theo Murphy International Scientific Meeting on Principles and Applications of Quantum Control Engineering
Participation in conference -Mixed Audience

Sheffield Probability Day 2011
Participation in conference -Mixed Audience

Indian Statistical Institute Colloquium
Participation in workshop, seminar, course

Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore
Visiting an external academic institution

Journal of Mathematical Physics (Journal)
Publication peer-review

Indian Statistical Institute (Bangalore Centre) (External organisation)
Membership of committee

School
School Engagement

32nd International Conference on Quantum Probability and Related Topics
Participation in conference -Mixed Audience

Guernsey Grammar School
School Engagement

Hautlieu School, Jersey
School Engagement

Functional Analysis Seminar, Université de Franche-Comté
Participation in workshop, seminar, course

Université de Franche-Comté
Visiting an external academic institution

Indian Statistical Institute Colloquium
Participation in workshop, seminar, course

Indian Statistical Institute (Bangalore Centre)
Visiting an external academic institution

Zentralblatt MATH (Journal)
Publication peer-review

Analysis Seminar, Newcastle University
Participation in workshop, seminar, course

Minicourse on Financial Mathematics
Participation in workshop, seminar, course

Blackpool Sixth-Form College
School Engagement

Mathematische Nachrichten (Journal)
Publication peer-review

Irish Mathematical Society Meeting 2010
Participation in conference -Mixed Audience

University College Cork
Visiting an external academic institution

Communications on Stochastic Analysis (Journal)
Publication peer-review

Workshop on Probability, Statistics and Analysis on Groups
Participation in workshop, seminar, course

Stochastics: An International Journal of Probability and Stochastic Processes formerly Stochastics and Stochastics Reports (Journal)
Publication peer-review

Indian Statistical Institute (Bangalore Centre)
Visiting an external academic institution

Ballakermeen High School, Isle of Man
School Engagement

Ballakermeen High School, Isle of Man
School Engagement

University College Cork
Visiting an external academic institution

Analysis Seminar, University of Glasgow
Participation in workshop, seminar, course

30th International Conference on Quantum Probability and Related Topics
Participation in conference -Mixed Audience

Stochastic Analysis Seminar, Loughborough University
Participation in workshop, seminar, course

Yorkshire Functional Analysis Seminar, University of Leeds
Participation in workshop, seminar, course

Conference on Stochastic Processes at the Quantum Level
Participation in conference -Mixed Audience

Stephen Wills
Hosting an academic visitor

Conference on Stochastic Differential Equations, Stochastic Partial Differential Equations and Related Topics
Participation in conference -Mixed Audience

Graham Jameson Meeting
Participation in conference -Mixed Audience

Workshop on Stochastics in the North-West
Participation in workshop, seminar, course

61st British Mathematical Colloquium and 22nd Annual Meeting of the Irish Mathematical Society
Participation in conference -Mixed Audience

University College Cork
Visiting an external academic institution

3rd International Workshop on Quantum Probability and its Applications
Participation in workshop, seminar, course

Quantum Stochastics and Information Seminar, University of Nottingham
Participation in workshop, seminar, course

Applied Mathematics Letters (Journal)
Publication peer-review

Operator Theory and Operator Algebras in Cork. A Conference in Memory of Gerard J Murphy
Participation in conference -Mixed Audience

Institute of Mathematics and Physics Seminar, Aberystwyth University
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

International Workshop on Quantum Probability and its Applications
Participation in workshop, seminar, course

School on Quantum Potential Theory
Participation in conference -Mixed Audience

Workshop on Perspectives in Probability Theory and its Connections with Science and Society
Participation in workshop, seminar, course

Belfast Functional Analysis Day
Participation in conference -Mixed Audience

Pure Mathematics Seminar, Lancaster University
Participation in workshop, seminar, course

27th International Conference on Quantum Probability and Related Topics
Participation in conference -Mixed Audience

Workshop on Quantum Probability and Its Applications
Participation in workshop, seminar, course

International Conference on Quantum Probability and Its Applications
Participation in conference -Mixed Audience

Probability Seminar, University College Cork
Participation in workshop, seminar, course

Bulletin of the London Mathematical Society (Journal)
Publication peer-review

Conference on Noncommutative Analysis, Quantum Theory and Stochastic Analysis
Participation in conference -Mixed Audience

Analysis Seminar, University of Nottingham
Participation in workshop, seminar, course

26th International Conference on Quantum Probability and Infinite Dimensional Analysis
Participation in conference -Mixed Audience

14th Évry-Nancy-Strasbourg Conference on Probability and Statistics
Participation in conference -Mixed Audience

7th Volterra-CIRM International School on Quantum Probability and Spectral Analysis on Large Graphs
Participation in conference -Mixed Audience

25th International Conference on Quantum Probability and Related Topics
Participation in conference -Mixed Audience

Stochastic Calculus Seminar, Université Louis Pasteur Strasbourg 1
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

24th International Conference on Quantum Probability and Infinite Dimensional Analysis
Participation in conference -Mixed Audience

University of Oxford (External organisation)
Membership of committee

Mathematical Reviews (Journal)
Publication peer-review

Workshop on Quantum Probability and Applications
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

Analysis Seminar, University of Nottingham
Participation in workshop, seminar, course

Conference on Noncommutativity - Geometry and Probability
Participation in conference -Mixed Audience

Analysis Seminar, University of Nottingham
Participation in workshop, seminar, course

Conference on Quantum Probabilities and Paradoxes of the Quantum Century
Participation in conference -Mixed Audience

Summer School on Quantum Probability
Participation in workshop, seminar, course

Functional Analysis Seminar, University of Oxford
Participation in workshop, seminar, course

Quantum Probability Day, University of Nottingham
Participation in conference -Mixed Audience

Quantum Measure Theory meeting, Isaac Newton Institute
Participation in conference -Mixed Audience