Research output per year
Research output per year
Organisation profile
Organisation profile
The interdisciplinary mathematics research activities at the University span the breadth of the subject and are creating an impact across diverse sectors including energy, finance and public health.
We focus the vast expertise in our Department around key themes that maximise our ability to provide mathematical solutions to global societal issues.
Our research themes assist today’s key challenges by focusing in the following areas:
Algebra, logic and number theory
Analysis, geometry and dynamical systems
Continuum mechanics
Mathematics in the life sciences
Numerical analysis and scientific computing
Probability, financial mathematics and actuarial science
Statistics, inverse problems, uncertainty quantification and data science
Our researchers work with centres and institutes both inside and outside of the University, expanding the range of facilities we have available and broadening collaboration opportunities.
Manchester mathematicians have changed the world, and the quality of our research today continues the proud traditions of the past.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Profiles
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A benchmark of expert-level academic questions to assess AI capabilities
Center for AI Safety, Scale AI, HLE Contributors Consortium, Ardito, C. G., Chernyavsky, I. & et al., 29 Jan 2026, In: Nature . 649, 8099, p. 1139-1146 8 p.Research output: Contribution to journal › Article › peer-review
Open Access -
A Hamiltonian approach for point vortices on non-orientable surfaces
Montaldi, J. & Balabanova, N., 1 Apr 2026, In: Physica D: Nonlinear Phenomena. 488, p. 1-23 23 p., 135084.Research output: Contribution to journal › Article › peer-review
Open Access -
A hydrodynamic origin of Korteweg stresses from shear-induced horizontal buoyancy
Rajamanickam, P., 13 Apr 2026, (Submitted) arXiv, p. 1-5, 5 p.Research output: Preprint/Working paper › Preprint
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A microstructure-informed continuum model of transversely isotropic, fibre-reinforced hydrogels
Hennessy, M. G., Shearer, T. & Moore, A. C., 1 Jan 2026, In: Journal of the Mechanics and Physics of Solids. 206, 106350.Research output: Contribution to journal › Article › peer-review
Open Access -
Amplified moments of the Riemann zeta function
Durkan, B. & Page, T., 25 Jun 2026, (Submitted) arXiv, p. 1-53, 53 p.Research output: Preprint/Working paper › Preprint
File19 Downloads (Pure)
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Physics Informed Neural Networks For Multiscale Liquid Crystal Models
Majumdar, A. (PI)
1/08/26 → 31/01/28
Project: Research
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A Physics Informed Neural Network for Myocardial Reperfusion Assisted by Liquid Crystal-based Treatments
Majumdar, A. (CoI)
1/07/26 → 31/12/26
Project: Research
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Group representations: orders, lattices and deformations
Eisele, F. (PI)
1/01/26 → 31/12/28
Project: Research
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Uncertainty Quantification for the Landau-de Gennes Theory for Nematic Liquid Crystals - Benchmark Problems
Majumdar, A. (PI)
1/10/25 → 1/12/26
Project: Research
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Analytical Tools for FFX Studies and the Go.Data Framework
House, T. (PI) & Pellis, L. (CoI)
1/04/25 → 31/03/28
Project: Research
Impacts
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Arsenic research identifies avoidable health risks from groundwater arsenic informing increased awareness, policy change and mitigation
Polya, D. (Participant), Lloyd, J. (Participant), Vaughan, D. (Participant), Van Dongen, B. (Participant), Pan, J. (Participant), Richards, L. (Participant), Shaw, S. (Participant), Coker, V. (Participant), Boothman, C. (Participant), Ballentine, C. (Participant), Charnock, J. (Participant) & Lythgoe, P. (Participant)
Impact: Health and wellbeing, Policy, Environmental
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IFISS: A software package for teaching computational mathematics
Silvester, D. (Participant), Elman, H. (Participant) & Ramage, A. (Participant)
Impact: Awareness and understanding, Technological
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Image reconstruction algorithms underpin Rapiscan Systems’ RTT110 baggage scanner, bring benefits to airports and generate over USD215M in sales
Lionheart, W. (Participant), Betcke, M. (Participant), Wadeson, N. (Participant) & Thompson, W. (Participant)
Impact: Economic, Technological
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MAGMA: Matrix Algebra on GPU and Multicore Architectures
Higham, N. (Participant) & Dongarra, J. (Participant)
Impact
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Making industrial installations safer and more efficient by identifying real and false alarms
Butters, T. (Participant), Guettel, S. (Participant), Higham, N. (Participant) & Shapiro, J. (Participant)
Impact: Economic
Activities
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UoM External Network Workshop on "Liquid Crystals for Animate Systems"
Majumdar, A. (Organiser)
24 Sept 2026Activity: Participating in or organising event(s) › Organising a conference, workshop, exhibition, performance, inquiry, course etc › Research
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Mathematical Fluid Mechanics 2026
Majumdar, A. (Co-Organiser)
14 Sept 2026 → 16 Sept 2026Activity: Participating in or organising event(s) › Organising a conference, workshop, exhibition, performance, inquiry, course etc › Research
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University of Innsbruck
Majumdar, A. (Visiting scholar)
11 Aug 2026 → 15 Aug 2026Activity: External visiting positions or secondments › Visiting an external academic institution › Research
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Quantum Cryptanalysis of Post-Quantum Algorithms
Shiu, D. (Co-Organiser)
20 Jul 2026 → 24 Jul 2026Activity: Participating in or organising event(s) › Organising a conference, workshop, exhibition, performance, inquiry, course etc › Research
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Quantum Cryptanalysis of Post-Quantum Algorithms
Henriques-Cadby, I. (Co-Organiser) & Shiu, D. (Organiser)
20 Jul 2026Activity: Participating in or organising event(s) › Organising a conference, workshop, exhibition, performance, inquiry, course etc › Research
Prizes
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2024 MDC Excellence Award Winners - Best Contribution to PGR Environment - recognising the outstanding achievement or contribution of PGRs towards the enhancement of the research environment.
Prince, K. (Recipient), 2024
Prize: Prize (including medals and awards)
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Awarded the Hans Schneider Prize by the International Linear Algebra Society
Higham, N. (Recipient), 2022
Prize: Prize (including medals and awards)
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Best Student Paper Award: Methodologies and Technologies
Papayiannis, A. (Recipient), Johnson, P. (Recipient), Yumashev, D. (Recipient), Howell, S. (Recipient), Proudlove, N. (Recipient) & Duck, P. (Recipient), 2012
Prize: Prize (including medals and awards)
Press/Media
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Longer pub hours bring 'more crime and ambulance call-outs'
27/04/26
1 Media contribution
Press/Media: Research
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Mathematicians have worked out the optimal strategy for Guess Who?
11/08/25
1 item of Media coverage
Press/Media: Research
Student theses
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$K$-theory, chamber homology and base change for the \lowercase{p}-adic groups $SL(2)$, $GL(1)$ and $GL(2)$.
Aeal, W. (Author), 8 Jun 2012Student thesis: Phd
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1D MODEL FOR FLOW IN THE PULMONARY AIRWAY SYSTEM
Alahmadi, E. (Author), 28 Nov 2012Student thesis: Phd
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2-Blocks with Homocyclic Defect Group and Inertial Quotient Containing a Singer Cycle
Mckernon, E. (Author), Eaton, C. (Main Supervisor) & Stafford, J. (Co Supervisor), 10 Aug 2020Student thesis: Phd
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Absolute continuity of the laws, existence and uniqueness of solutions of some SDEs and SPDEs
Yue, W. (Author), Zhang, T. (Main Supervisor), 6 Mar 2014Student thesis: Phd
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A Combinatorial Approach to Littlewood Type Problems in Fields of Positive Characteristic
Robertson, S. (Author), Adiceam, F. (Main Supervisor), 23 May 2025Student thesis: Phd
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