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. 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. I was the founding organiser of the Early Career Alcohol Research Symposium, funded by the Society for the Study of Addiction.
My work in Health Statistics 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.
ACODOS study: Ambulance Call-Outs to Drug Overdoses in Scotland: Patterns and Practice
Homological dimensions
Free resolutions Betti numbers
Gorenstein Artinian algebras
Quasi-complete intersections
Exact zero divisors
Free resolutions over short Gorenstein local rings
I Bonacho Dos Anjos Henriques, LM Şega
Mathematische Zeitschrift 267 (3), 645-663
Quasi-Complete Intersection Homomorphisms
L Avramov, I Bonacho dos Anjos Henriques, L Sega
Pure and applied mathematics quarterly 9 (4), 579 – 612
QUASI-COMPLETE INTERSECTIONS WITH APPLICATIONS TO FREE RESOLUTIONS OVER ARTINIAN RINGS
IB Henriques
ETD collection for University of Nebraska - Lincoln.
2010-01-01 | Dissertation/Thesis
F-Singularity theory, Determinantal ideals, Positive characteristic methods
Test, multiplier and invariant ideals
IBDA Henriques, M Varbaro
Advances in Mathematics 287, 704-732
F-thresholds and generalized test ideals of determinantal ideals of maximal minors
IBA Henriques
arXiv preprint arXiv:1404.4216
Clinical Trial Methodology - Recruitment and Retention - Sample sizes -
SJ Walters, IB dos Anjos Henriques-Cadby, O Bortolami, L Flight, D Hind, ...
BMJ open 7 (3), e015276
SJ Walters, RM Jacques, IB dos Anjos Henriques-Cadby, J Candlish, ...
Trials 20 (1), 1-16