Lloyd James Peter Kilford
Bateman Research Instructor

BSc & ARCS, Imperial College, University of London, August 1999
PhD & DIC, Imperial College, University of London, November 2002

Research Interests

Number Theory, Modular Forms, Elliptic Curves - especially the computational aspects.

Publications/Preprints

• A generalisation of a congruence due to Vantieghem only holding for primes, available on the arXiv.
• Slopes of 2-adic overconvergent modular forms with larger level, to appear.
• Slopes of 2-adic overconvergent modular forms with small level. A condensed version of the PhD thesis, available on the arXiv.
• Slopes of overconvergent modular forms, PhD thesis, Imperial College of Science, Technology and Medicine, October 2002. Available as DVI or PDF or PS.
• Some non-Gorenstein Hecke algebras attached to spaces of modular forms, Journal of Number Theory, Volume 97, No. 1, November 2002, pages 157--164.

Courses Taught

• Spring 2004: Ma120c - Abstract Algebra: coursework sheets are available here.
• Winter 2004: Ma120b - Galois Theory: coursework sheets are available here.
• Fall/Autumn 2003: Ma105a - Elliptic Curves: coursework sheets are available here.
• Summer 2003: Ma120c - Abstract Algebra: coursework sheets are available here.
• Winter 2003: Ma160b - Algebraic Number Theory: coursework sheets are available here.
• Fall/Autumn 2002: Ma160a - Number Theory: coursework sheets are available here.

Courses TA-ed

• 1999-2002: M1M: Computing for Mathematics, Imperial College.

Contact Information

Office: 358 Sloan
Phone: (626) 395-4355
Fax: (626) 585-1728
E-mail: ljpk@its.caltech.edu
Mailing address: Mathematics 253-37, Caltech, Pasadena, CA 91125
Personal Home page

Old home page

Cecil Kilford, my great-grandfather.

Walter Kilford, my great-great-grandfather.

Math Department Home Page

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Wir muessen wissen. Wir werden wissen. - Hilbert.