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Research

Research Interests

My research interests lie at the interface of statistics and causal inference. Causal inference is probably one of the most challenging problems in modern statistics as observational associations between the variables of interest are inadequate to unravel any causal pathways. Most of my work has been concerned with establishing a formal mathematical framework for causality (the Decision Theoretic framework), which enables us to express and explore causal concepts in a clear manner, and then using this framework to address a number of interesting (yet very complex) problems in the area of causality. In summary, my research interests are concerned with:

  • Extended Conditional Independence.
  • Graphical Representation of Conditional Independence.
  • Instrumental Variables.
  • Dynamic Treatment Strategies.
  • Regression Discontinuity Designs.

Publications and submitted papers

  • Extended Conditional Independence and Applications in Causal Inference (with A. P. Dawid), The Annals of Statistics, Vol. 45, No. 6, 1–36, 2017. (.pdf)
  • Regression Discontinuity Designs: A Decision-Theoretic Approach, 2015 (with Aidan O'Keeffe). Submitted-ask for preprint.
  • A Formal Treatment of Sequential Ignorability (with A. P. Dawid), Statistics in Biosciences, 6, 166-188, 2014. (.pdf)
  • Conditional Independence and Applications in Statistical Causality, PhD thesis, University of Cambridge, 2014. (.pdf)
  • Mendelian Randomisation, MPhil thesis, University of Cambridge, 2009. (.pdf)

Talks/Presentations

Invited talks:

  • 13 September 2016: ‘Causal Inference in the Decision-Theoretic Framework of Statistical Causality’, SuSTaIn closing workshop, University of Bristol, U.K.
  • 19 December 2014: 'Conditional Independence in the Decision-Theoretic Framework of Statistical Causality', University of Bristol, U.K.
  • 2 October 2014: 'Causal Inference in a Decision-Theoretic framework', University of Southampton, U.K.
  • 30 April 2014: 'Conditional Independence in the Decision-Theoretic framework of Statistical Causality', The Statistical Contributions of A. Philip Dawid: Causal Inference, Graphical Models and Prediction, University of Cambridge, U.K.
  • 13 February 2013: 'Extended Conditional Independence', Dependence Logic: Theory and Applications, Schloss Dagstuhl-Leibniz Center for Informatics, Germany.

Other Presentations:

  • 22 October 2014: 'Aspects of Causal Inference', University of Bristol (PostDoc seminars), U.K.
  • 11 April 2012: 'A Formal Treatment of Sequential Ignorability' (with A. P. Dawid), Time for Causality-Causal Inference and Dynamic Decisions in Longitudinal Studies, University of Bristol, U.K.
  • 5 April 2011: 'On the Technical Foundations of Causal Inference', Research Students' Conference in Probability and Statistics, University of Cambridge, U.K.
  • 31 March 2011: 'Causality', Graduate Seminars, University of Cambridge, U.K.
  • 18 June 2009: 'Mendelian Randomisation', Master's seminars, University of Cambridge, U.K.

Posters:

  • 15-16 May 2014: 'Conditional Independence and Applications in Statistical Causality', Atlantic Causal Inference Conference, Brown University, U.S.A.
  • 28-29 April 2014: 'Conditional Independence and Dynamic Treatment Strategies', U.K.-Causal Inference Meeting, University of Cambridge, U.K.
  • 14-15 May 2013: 'Conditional Independence and Applications in Statistical Causality', Causal Inference in Health and Social Sciences, UK Causal Inference Meeting, University of Manchester, U.K.
  • 10-13 April 2012: 'Conditional Independence in the Decision-Theoretic Framework of Causal Inference', Time for Causality - Causal Inference and Dynamic Decisions in Longitudinal Studies, University of Bristol, U.K.
  • 9-13 May 2011: 'On the Technical Foundations of Causal Inference', Causal Inference in Health Research, University of Montreal, Canada.
  • 26 September 2011: 'Conditional Independence in the Decision-Theoretic Framework and Identification of Causal Quantities', Cambridge Statistics Initiative Special One-Day meeting, Isaac Newton Institute, Cambridge, U.K.