My research interests have been in computational number theory, the arithmetic of elliptic curves, algebraic combinatorics and public-key cryptography. My current personal research is on Carmichael numbers and pseudoprimes.

I am a member of the London Mathematical Society; a Fellow of the Institute of Mathematics and its Applications and a Chartered Mathematician and Chartered Scientist.

My Erdos number is 3 (Pinch --
Swinnerton-Dyer
-- Davenport
-- Erdos).

Email me at
`rgep@chalcedon.demon.co.uk`

.

See a complete list.

- Korselt numbers and sets (2010)
- The Carmichael numbers up to 10 to the 21 (2008)
- Absolute quadratic pseudoprimes (2007)
- The distance to a subgroup of the symmetric group (2007)
- A note on Lehmer's Totient Problem (2006)
- Carmichael numbers with small index (2006)
- Some properties of the pseudo-Smarandache function (2005)

I was a Guest Associate Editor of a special issue of the Japan Journal of Industrial and Applied Mathematics (JJIAM) on Algorithmic Number Theory, published in October 2007.

- Primes and pseudoprimes, British Mathematical Colloquium 2010, Edinburgh, April 2010
- PRIMES is in P: Arithmetic at random, Bristol Algorithms Days 2008, March 2008
- Absolute quadratic pseudoprimes, Conference on Algorithmic Number Theory, Turku, May 2007.
- The Carmichael numbers up to 10 to the 21, Conference on Algorithmic Number Theory, Turku, May 2007.
- Primes and pseudoprimes, Heilbronn seminar, Bristol, October 2006
- Pseudoprimes and Carmichael numbers, Number theorists weekend, Banff, November 2004.
- Carmichael numbers: theory and practice, Explicit methods in number theory, Banff, November 2004.
- Carmichael numbers, Oxford Number Theory Seminar, February 2004.
- Carmichael numbers and pseudoprimes, Conference in Honour of Hugh Williams, Banff, May 2003.
- Carmichael numbers with three prime factors , SECANTS-16, Royal Holloway, February 2002.
- The pseudoprimes up to 10 to the 13, ANTS-IV, Leiden, July 2000
- Pseudoprimes and Carmichael numbers , SECANTS-14, Oxford, March 2000.
- Squares in quadratic progression, SECANTS-8, Oxford, March 1998.
- Slides from the LMS MathFIT workshop on Computational number theory and cryptography held at the University of Kent at Canterbury, 14--16 July 1997.
- Fermat's Last Theorem, Singapore Mathematical Society, March 1997.
- Back to the Dark Ages: slides from the
RSA Data Security Conference,
January 1997
- (some were seen at SECANTS-1, Oxford, December 1995)
- Secret sharing: slides from the RSA Data Security Conference, January 1997
- (some were seen at SECANTS-1, Oxford, December 1995)

- Codes and cryptography, Annual Record of Queens' College, 1998
- Codes and cryptography: newsletter of the Centre for Mathematical Sciences, December 1997
- Coding theory: the first 50 years, a survey for PASS maths number 3, September 1997

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Updated 23/ix/'11 by Richard Pinch