Education:
- Ph. D. University of Chicago 1999
- M. Sc. University of Chicago 1993
- B. A. Haverford College, Haverford, PA 1992 Magna Cum Laude, high departmental honors
- Exchange Oxford University, Oxford, UK 1991
- Phi Beta Kappa 1991
Employment:
- 2006-2022: Lecturer, Senior Lecturer & Reader in Mathematics, Ãå±±ÂÖ¼é.
- 2005-2006: Associate Professor of Mathematics, Lawrence University.
- 1999-2005: Assistant Professor of Mathematics, Lawrence University.
Professional Memberships:
- Member of the
- Fellow of the
- Fellow of the
- Fellow of the
- Fellow of the
- Member of
- Member of
Research leadership
- Director of Plastrax research group for the development of technologies for tracking and characterising microplastics
Research interests in statistics and data science:
- Analysis of high dimensional and functional data
- Metabolomics, including statistics for biomarker identification and process control
- Statistical methods for image data, particularly in physical and materials sciences
- Topological and geometric methods in statistics and machine learning
- Analysis of clinical data for epidemiology and medical policy making
- Signal processing for nanopore sensors
Research interests in mathematics:
- Elliptic PDE on noncompact and singular manifolds
- Pseudodifferential operator calculi
- Hodge and signature theorems for singular and noncompact manifolds
- Intersection cohomology and its generalizations
- Monopole and other moduli spaces arising in physics
- Numerical techniques for spectral problems with singular potentials
- Applications of category theory to systems engineering
Research videos and slides
Introductory talks
- (3 lectures' slides): February 2008, HCM
- (video): August 2008, MSRI
- (video): August 2008, MSRI
- (5 lecture videos) August 2016, Fields Institute
Research talks
- (video), Nov 2014, BIRS
- (video) August 2015, INI
- (video) April 2020, MPIM
External research activities
Lecturer at graduate summer schools:
- “Partial differential equations and analysis on singular spaces” Hausdorff Center for Mathematics, University of Bonn, 2007;
- “Summer School on Singular Analysis” University of Oldenburg, 2012;
- "" Fields Institute, 2016
External workshops/semesters organised:
- “Hausdorff Institute for Mathematics workshop in honour of Prof. Werner Mueller’s 60th birthday” HIM, 2010;
- “Topology of Stratified Spaces” MSRI, 2008;
- MSRI semester, “Analysis on Singular Spaces” 2008;
- “L^2-harmonic forms in geometry and string theory” ARCC, 2004
Honorary Officer for Equality, Diversity and Inclusion for the
Chair of the
Videos related to Diversity
- (minute 5:22:00)
- Interview with Times Educational Supplement (, )
Writings related to Diversity
- Womanthology:
- Womanthology:
- AMBA Ambition Magazine:
- London Mathematical Society Newsletter:
Work and Awards
- Gamechangers for Diversity in STEM:
- (commissioned by Advance HE)
- External evaluation of Irish Research Council Gender Strategy
Current PhD Students
- Kerry Rosenthal: Statistical Methods for Compact Mass Spectrometry in Metabolomics (joint with M. Lindley, M. Turner, and E. Ratcliffe)
- Nayani Adhikari: Diagnosis and Retraining of Asthmatic and Dysfunctional Breathing Techniques Using Opto-Electronic Plethsymography (joint with S. Winter and M. Pain)
- Jennifer Ferris: Statistical Models of Lower Limb Soft Tissue for Integration into Multimodal Imaging Technologies (joint with S. Winter and D. Zhou)
Plastrax Research Group PhD Students
- Imoleayomide Ajayi: Data Science for Microplastics Characterisation (joint with Z. Zhou and M. Platt)
- Symiah Barnett: At-site Microplastic Monitoring for Rivers and Marine Environments (Funded by , joint with M. Platt and E. Baynes)
- Shadab Soheilian: Characterisation of Micro- and Nano-plastics in Complex Systems (joint with Z. Zhou)
- Elizabeth Christie: Developing New Analytical Technology for the Rapid Identification and Quantification of Micro/Nanoplastics (joint with M. Platt and E. Baynes)
- Beth Jordan: Engineered Polymetric Micro- and Nanoplastics (Supervisors F. Hatton, B. Cousins, E. Baynes)
Past PhD Students
- Lei Ye (Ãå±±ÂÖ¼é, 2021)
- Steff Farley (Ãå±±ÂÖ¼é, 2021)
- Yanis Bahroun (Ãå±±ÂÖ¼é, 2020)
- Navid Bari (Ãå±±ÂÖ¼é, 2017)
- Vladimir Lukiyanov (Ãå±±ÂÖ¼é, 2016)
- Kamil Mroz (Ãå±±ÂÖ¼é, 2014)
- Louis Omenyi (Ãå±±ÂÖ¼é, 2014)
- Nikolaos Roidos (Ãå±±ÂÖ¼é, 2010)
Students interested in undertaking a self-funded PhD with me are encouraged to get in contact!
Possible project areas include:
- Inverse problems for nanopore sensors
- Category Theory for architecture definition in systems engineering and digital twins
- Bayesian methods for data integration in materials science
- Shape statistics in biomechanics
- Mixed methods (AI/statistics/social sciences/humanities) for understanding mechanisms of inequality in science.