Overview
My research spans between the fields of mathematics and statistics, both on methods development and on applications to Health research and policy.
My recent research has focused on Spatial Mathematics and Statistics, statistical learning and their applications to Public Health and Criminology. I am particularly interested in spatial epidemiology with a focus on Alcohol availability, consumption patterns, and harm. This work has been funded by the MRC (Skills Development fellowship), the NIHR, and the Scottish and Northern Irish governments.
My work in Health Statistics also includes the development of hospital performance measures relating to the quality and safety of care offered to patients, based on the analysis of large routine observational data, as well as the development and review of statistical methods in clinical trials (funded by an NIHR Research Methods Fellowship).
My mathematical research work focuses in the fields of Commutative and Homological Algebra, with connections to Representation Theory, Algebraic Geometry and Singularity Theory. I’m particularly interested in the study of homological properties of rings and modules.
My publications can be viewed on Google Scholar.
Recent projects
ACODOS: Ambulance Call-Outs to Drug Overdoses in Scotland: Patterns and Practice
Selected publications
Mathematics of Data Science
Topological deep learning · Representation learning · Higher-order networks
- TopoEmbedX: A General Framework for Representation Learning on Topological Domains
Florian Frantzen, Ibrahem AlJabea, Ines Henriques-Cadby, Theodore Papamarkou, Mustafa Hajij, Michael T. Schaub.
arXiv preprint arXiv:2609.37884 · Software
Epidemiology and Spatial Statistics
Spatial epidemiology · Spatio temporal modelling · Symptom clusters · Statistical learning
Symptom clusters in Long COVID in the UK: prospective community-based cohort study using unsupervised machine learning
Jasmine Aherne, Ines Henriques-Cadby, Thomas House.
arXiv doi: 2609.05213Impact of later trading hours for bars and clubs on alcohol-related ambulance call-outs and crimes in Scotland: a controlled interrupted time series study
Sheikh MN, Lewsey J, Henriques-Cadby I, et al.
BMJ Public Health 2026;0:e003722. doi:10.1136/bmjph-2025-003722Modelling established and emerging crime hotspots in a period of rapid homicide growth using spatio-temporal Hawkes processes.
Luis A. Sotomayor-Guaman, David Buil-Gil, Olatunji Johnson, Jorge Mateu, Ines Henriques-Cadby. CrimRxiv doi: 10.21428/cb6ab371.0a95362d
Clinical Trial Methodology
Recruitment · Retention · Sample size
Sample size estimation for randomised controlled trials with repeated assessment of patient-reported outcomes: what correlation between baseline and follow-up outcomes should we assume?
SJ Walters, RM Jacques, IB dos Anjos Henriques-Cadby, J Candlish, et al.
Trials 20 (1), 1–16Recruitment and retention of participants in randomised controlled trials: a review of trials funded and published by the United Kingdom Health Technology Assessment Programme
SJ Walters, IB dos Anjos Henriques-Cadby, O Bortolami, L Flight, D Hind, et al.
BMJ Open 7 (3), e015276
Singularity theory
Determinantal ideals· Positive characteristic methods
Test, multiplier and invariant ideals
IBDA Henriques, M Varbaro.
Advances in Mathematics 287, 704–732F-thresholds and generalized test ideals of determinantal ideals of maximal minors
IBA Henriques.
arXiv preprint arXiv:1404.4216
Homological dimensions
Free resolutions · Betti numbers · Gorenstein Artinian algebras · Quasi-complete intersections · Exact zero divisors
Quasi-Complete Intersection Homomorphisms
L Avramov, I Bonacho dos Anjos Henriques, L Sega.
Pure and Applied Mathematics Quarterly 9 (4), 579–612Free resolutions over short Gorenstein local rings
I Bonacho Dos Anjos Henriques, LM Sega.
Mathematische Zeitschrift 267 (3), 645–663Quasi-complete intersections with applications to free resolutions over Artinian rings
IB Henriques.
ETD collection for University of Nebraska – Lincoln, 2010. Dissertation/Thesis