Eric M. Rains

From Wikipedia, the free encyclopedia

Eric Michael Rains (born 23 August 1973) is an American mathematician specializing in coding theory and special functions, especially applications from and to noncommutative algebraic geometry.[1]


Eric Rains was 14 when he began classes in 1987. He left Case Western Reserve University with bachelor's degrees in computer science and physics and a master's degree in mathematics at age 17.[2]

By means of a Churchill Scholarship he studied mathematics and physics at the University of Cambridge for the academic year 1991–1992, receiving a Certificate of Advanced Study in Mathematics.[3] He received his PhD in 1995 from Harvard University with thesis Topics in Probability on Compact Lie Groups under the supervision of Persi Diaconis.[4] From 1995 to 1996, Rains worked at the IDA's Center for Communications Research (CCR) in Princeton. From 1996 to 2002 he was a researcher for AT&T Labs. From 2002 to 2003 he returned to the CCR in Princeton. In 2003, Rains became a full professor at the University of California, Davis. From 2007-2023, Rains was a full professor at Caltech and served as the Executive Officer of the Caltech Mathematics Department from 2019 to 2022. As of Fall 2023, Rains is a professor emeritus at Caltech, per their website.

In the fall of 2006 he was a visiting professor at the University of Melbourne.[3] He is the co-author with Gabriele Nebe and Neil J. A. Sloane of the 2006 book Self-Dual Codes and Invariant Theory.[5]

In 2007, Rains was a plenary speaker at the Western Sectional meeting of the American Mathematical Society (AMS).[3] In 2010 he was an invited speaker at the International Congress of Mathematicians in Hyderabad.[6] He was elected a Fellow of the AMS in the class of 2018 for "contributions to coding theory, the theory of random matrices, the study of special functions, non-commutative geometry and number theory".[7]

Selected publications[edit]


  1. ^ "Eric M. Rains". The Division of Physics, Mathematics and Astronomy, Caltech (
  2. ^ "Alum who graduated at age 17 with three degrees returns to CWRU for talk". The Daily, Case Western Reserve University. 16 September 2013.
  3. ^ a b c "Eric M. Rains, Curriculum Vitae" (PDF).
  4. ^ Eric M. Rains at the Mathematics Genealogy Project
  5. ^ Gabriele Nebe; Eric M. Rains; Neil J. A. Sloane (20 May 2006). Self-Dual Codes and Invariant Theory. Springer Science & Business Media. ISBN 978-3-540-30731-0.
  6. ^ Rains, Eric M. (2011). "Elliptic Analogues of the Macdonald and Koornwinder Polynomials". Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Vol. 4. pp. 2530–2554. doi:10.1142/9789814324359_0157. ISBN 978-981-4324-30-4.
  7. ^ "New Class of Fellows of the AMS" (PDF). Notices of the AMS. 65 (3): 346–348. March 2018.