Professor Grieve is one of the leading health economists in the UK with around 150 publications (h-index 51), and a world-wide reputation for methodological and applied research. His areas of expertise include health technology assessment (HTA), methods for generating Real World Evidence (RWE) to improve health care decision-making, and approaches to personalising interventions.

Prof. Grieve leads a research team of health economists and statisticians undertaking health economic research of global interest. Over the last ten years he has generated total research grant income of around £50 million, and has led major studies of international relevance to successful completion and impact on policy. In 2016-7, he took the Ashridge leadership programme for senior leaders. Prof. Grieve is the co-director of the LSHTM Centre for Statistical Methodology (CSM) (2017-), and was recently a member of the LSHTM group developing research strategy.

Prof. Grieve collaborates with leading clinicians and methodologists in the UK and the US. He co-directs the LSHTM-wide Centre for Statistical Methodology. He has held a prestigious NIHR senior research fellowship and was on the NIHR commissioning board for five years. Prof. Grieve is an Associate Editor for a major health economics journal, Health Economics. He has delivered keynote (invited) talks to multidisciplinary audiences in the US, Canada, China, Taiwan and in the UK, and written editorials for leading clinical and health economics journals. He provides scientific advice to the UK Department of Health and to NICE. He served on the 2021 REF subpanel 2, Public Health, Health services and primary care.