Jeremy Rickard, also known as J. C. Rickard or J. Rickard, is a British mathematician who deals with algebra and algebraic topology. He researches modular representation theory of finite groups and related questions of algebraic topology, representation theory of finite algebras and homological algebra. Rickard or derived equivalences as a generalization of Morita equivalences of rings and algebras are named after him.
Education and career
Rickard was a winner of the Whitehead Prize in 1995. In 2002 he received the Senior Berwick Prize. In 1998 he was an Invited Speaker with talk The abelian defect group conjecture at the International Congress of Mathematicians in Berlin.
- Rickard, Jeremy (1989). "Derived categories and stable equivalence". Journal of Pure and Applied Algebra. 61 (3): 303–317. doi:10.1016/0022-4049(89)90081-9. MR 1027750.
- Rickard, Jeremy (1991). "Derived equivalences as derived functors". Journal of the London Mathematical Society. Second Series. 43 (1): 37–48. doi:10.1112/jlms/s2-43.1.37. MR 1099084.
- Rickard, Jeremy (1997). "Idempotent modules in the stable category". Journal of the London Mathematical Society. Second Series. 56 (1): 149–170. doi:10.1112/S0024610797005309. MR 1462832.
- Rickard, Jeremy (1996). "Splendid equivalences: derived categories and permutation modules". Proceedings of the London Mathematical Society. Third Series. 72 (2): 331–358. doi:10.1112/plms/s3-72.2.331. MR 1367082.
- Rickard, Jeremy (1998). "The abelian defect group conjecture". Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Documenta Mathematica (Extra Vol. II): 121–128. MR 1648062.