## Summary

My research in **numerical analysis and scientific computing** focusses on the design, analysis and implementation of numerical methods for **weather forecasting**, **ocean modelling** and **climate simulation**. Recently, I have been developing compatible finite element methods** **and **time parallel algorithms** for these and other applications. I am motivated by the **geometric variational structure** of fluid equations, which are also relevant for algorithms for exploring the geometric structure of** shapes and images**. I also develop numerical algorithms for **probabilistic forecasting** and **data assimilation**, and am currently developing **particle filters for stochastic partial differential equations**.

I am :

- Head of the Applied Mathematics and Mathematical Physics Section.
- Associate Editor for SIAM Journal of Scientific Computing and Foundations of Data Science.
- A member of the EPSRC peer review college.
- Author of a book with Sebastian Reich, entitled "Probabilistic Forecasting and Bayesian Data Assimilation".

See my research page for the list of current and past PhD and postdoctoral researchers.

**Biography**

- Professor of Computational Mathematics, Department of Mathematics, Imperial College London, July 2019 - date
- Reader in Numerical Analysis and Scientific Computing, Department of Mathematics, Imperial College London, July 2016 - July 2019
- Senior Lecturer in the Department of Mathematics, Imperial College London, November 2013 to July 2016
- Senior Lecturer in the Department of Aeronautics, Imperial College London 2010-2013
- Lecturer in the Department of Aeronautics, Imperial College London 2006-2010
- Postdoctoral researcher in the Department of Mathematics, Imperial College London 2005-2006
- Postdoctoral researcher in the Department of Earth Science and Engineering, Imperial College London 2004-2005
- PhD Mathematics, Imperial College London 2000-2004
- Part III, Mathematics, Fitzwilliam College, Cambridge University 1999-2000
- BA Mathematics, Fitzwilliam College, Cambridge University 1996-1999

My Google Scholar profile is here. Preprints of many of my papers can be found here.

## Selected Publications

### Journal Articles

Cotter CJ, Deasy J, Pryer T, 2020, The r-Hunter-Saxton equation, smooth and singular solutions and their approximation, *Nonlinearity*, Vol:33, ISSN:0951-7715, Pages:7016-7039

Wimmer GA, Cotter CJ, Bauer W, 2020, Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations, *Journal of Computational Physics*, Vol:401, ISSN:0021-9991, Pages:1-18

Cotter CJ, Crisan D, Holm DD, et al. , 2019, Numerically modelling stochastic lie transport in fluid dynamics, *SIAM Journal on Scientific Computing*, Vol:17, ISSN:1064-8275, Pages:192-232

Cotter CJ, Graber PJ, Kirby RC, 2018, Mixed finite elements for global tide models with nonlinear damping, *Numerische Mathematik*, Vol:140, ISSN:0029-599X, Pages:963-991

Gregory ACA, Cotter CJ, 2017, A seamless multilevel ensemble transform particle filter, *Siam Journal on Scientific Computing*, Vol:39, ISSN:1095-7197, Pages:A2684-A2701

Cotter CJ, Gottwald G, Holm DD, 2017, Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics, *Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences*, Vol:473, ISSN:1364-5021

Natale A, Cotter CJ, 2017, A variational H (div) finite-element discretization approach for perfect incompressible fluids, *IMA Journal of Numerical Analysis*, Vol:38, ISSN:0272-4979, Pages:1388-1419

Natale A, Shipton J, Cotter CJ, 2016, Compatible finite element spaces for geophysical fluid dynamics, *Dynamics and Statistics of the Climate System*, Vol:1, ISSN:2059-6987

Cotter CJ, Thuburn J, 2014, A finite element exterior calculus framework for the rotating shallow-water equations, *Journal of Computational Physics*, Vol:257, Pages:1506-1526

Cotter CJ, Shipton J, 2012, Mixed finite elements for numerical weather prediction, *J. Comp. Phys.*

### Books

Reich S, Cotter CJ, 2015, *Probabilistic Forecasting and Bayesian Data Assimilation*, http://www.cambridge.org/us/academic/subjects/mathematics/computational-science/probabilistic-forecasting-and-bayesian-data-assimilation, Cambridge University Press, ISBN:9781107663916