Richard G.E. Pinch

Mathematics research page

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.

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

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

Publications

Recent work

• The Carmichael numbers up to 10 to the 21 (or here)

• The distance to a subgroup of the symmetric group
• Some properties of the pseudo-Smarandache function
• The Carmichael numbers up to 10 to the 19
• The pseudoprimes up to 10 to the 13

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.

Popular articles

• 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

Talks

• 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.
  • Elementary factoring methods
  • Practical cryptography
• 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

Gallery

Group photograph from the ANTS VIII meeting, Banff, May 2008

Group photograph from the Explicit Methods in Number Theory meeting, Banff, November 2004

Group photograph from the Hugh Williams 60 meeting, Banff, May 2003

A group photograph at the meeting on computational number theory at MSRI

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Updated 06/ii/'09 by Richard Pinch