## Summary

Frank Berkshire was latterly Director of Undergraduate Studies in the Department of Mathematics during 1987-2011, when he then was formally retired. Post-retirement he is currently Principal Teaching Fellow in Dynamics

During that period he was responsible for the content and conduct of the degree courses. Among external roles he acted as consultant for the Qualifications and Curriculum Authority on Secondary level assessments - most recently through Chairing the 5-Year Review of Standards over Time for GCSE/AS/A Level Mathematics (2005).

He has delivered mathematics lectures, both theoretical and practical, in the UK and overseas, to a wide range of groups - specialised and non-specialised and of all ages.

His long term research interests include: fluid mechanics; waves in fluids with applications to oceanic and atmospheric flows; nonlinear partial differential equations, wave focusing and solitons; dynamics; sporting and biological mechanics; statistical aspects of dynamical systems; game theory; gambling; dice; billiards and chaos. With Professor Tom Kibble he is author of Classical Mechanics (5th Edition 2004 Imperial College/World Scientific).

He was elected an Imperial College teaching Fellow in 1996.

In 2010 he was awarded the Rector's medal for Outstanding Contribution to Teaching Excellence.

He is a Board Director (and currently Chairman) of the Blackheath Cricket, Football and Lawn Tennis Company Limited - which operates the Blackheath Sports Club.

Information can also be found within the Mathematics Department Research Group Websites:

Dr Frank Berkshire''''s personal web page can be found at http://www.ma.ic.ac.uk/~fhb

## Other Significant Activities

**Faculty**: Royal College of Science Association Trust**External:**London Mathematicfal Society Education Committee

## Plenary Lectures

- IIT New Dehli, 1983: Atmospheric Waves and Instabilities
- British Association for the Advancement of Science, 1985, Glasgow: The 'Stochastic' Dynamics of Coins and Irregular Dice
- Tom Passmore Memorial Lecture, 1995, 2003, Wellington School: Going to Extreme; Millennial Mathematics
- Training Partnership, 1993, 1995, 1997, Institute of Education, London: Going to Extremes; On Best Behaviour; Snapshots of a Mathematical Universe; Chaos and Predictability
- Science Alive; 1994, 2000 Thailand; 1995, 1997, 2000, Malaysia; 1998, Hong Kong; 1998, Singapore: Going to Extremes; On Best Behavoiuur; Odds and Ends; A Mathematical Millennium, Snapshots of a Mathematical Universe
- London Mathematical Society Popular Lecture, 1999, Liverpool, London, Glasgow: Floating, Spinning, Tumbling
- British Council and Malaysia, 2000, Penang, Kuala Lumpur: Atmospheric Waves, Chaos and Predictablitity; Broken Symmetry in Nonlinear Waves; Billiards and Dice; Science Alive; A Mathematical Millennium; 20/20 Vision, Quality Assurance
- Conference on Statistics, Science and Public Policy, 2000 - 2003, 2005, Herstmonceux Castle: Heisenberg's Uncertanty Principle and Quality Assurance; The Current Appropriate Ineffectiveness of Mathematics in the Measure of Educational Outcomes; Who owns Mathematics?; Of Beautiful Mind or Beautifully Minded?; End Notes; Is the University Dead?
- Waterloo and Queen's Universities, 2000, Ontario: Science Alive; Quality Assurance; How to Play Baseball - a Mathematical Strategy
- Cambridge, 1998, 2005: Archimedean Dice; The Dynamics of Sharps and Flats
- Imperial College, 2004: W(h)ither Mathematics?; 2007, Completing the PhD

## Publications

### Journals

Berkshire F, Mavroyiakoumou C, 2020, Collinear interaction of vortex pairs with different strengths - criteria for leapfrogging, *Physics of Fluids*, Vol:32, ISSN:1070-6631

### Books

Kibble, T.W.B., Berkshire, F.H., 2004, *Classical mechanics*, London, Imperial College Press, ISBN:9781860944246

### Conference

Berkshire, F.H., 2004, *End notes*, Statistics, science and public policy VIII : science, ethics and the law: proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, U.K., 23 - 26 April 2003, Queen's University, Kingston, Ontario, Pages:217-220

Berkshire, F.H., 2003, *Who owns mathematics? Of beautiful mind or beautifully mined?*, Statistics, science and public policy VII : environment, health and globalization : proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, U.K., 17 - 20 April 2002, Queen's University, Kingston, Ontario, Pages:165-170

Berkshire, F.H., 2001, *The current appropriate ineffectiveness of mathematics in the measuring of educational outcomes*, Statistics, science and public policy VI : science and responsibility : proceedings of the conference on statistics, science and public policy held at Herstmonceux Castle, Hailsham, UK., 18 -21 April 2001, Queen's University, Ontario, Pages:203-207