Neal Koblitz

from Wikipedia, the free encyclopedia

Neal I. Koblitz (* 1948 ) is an American mathematician who deals with algebraic geometry , number theory and cryptography .

Koblitz studied at Harvard (where he was a Putnam Fellow in 1968 and graduated in 1969) and received his doctorate in 1974 from Princeton University under Nicholas Katz with the dissertation -adic Variation of Zeta Functions of Varieties over Finite Fields . He is Professor of Mathematics at the University of Washington in Seattle and Professor at the Center for Applied Cryptographic Research at the University of Waterloo, Canada .

Koblitz independently invented Elliptic Curve Cryptography in 1985 (alongside Victor S. Miller) and is also a pioneer in the use of hyperelliptic functions in cryptography ( Hyperelliptic Cryptosystems. Journal of cryptology, Vol. 1, 1989, p. 139). Koblitz is for a number of textbooks on number theory, where he among other things worked -adischer Analysis, and known cryptography.

Koblitz has traveled widely and is committed to student exchanges with developing countries. These trips began when he was active as a student in SDS ( Students for a Democratic Society ) and (at Harvard) in PLP (Progressive Labor Party). He traveled to Nicaragua , Peru , Cuba and El Salvador , among others, taught in Vietnam and South America and lived in the Soviet Union for a year and a half in the 1970s, where he was a student (he earned the money by translating mathematical articles from Russian). With his wife Ann Hibner Koblitz (Professor of Gender Studies at Arizona State University in Tempe ) he founded the Kovalevskaia Prize in 1985 to honor scientists from developing countries. Among other things, the income from the biography of Sofja Kovalevskaya , published in 1983 and written by his wife, is included.

For 2020 he received (together with Victor S. Miller) the technology prize of the Eduard Rhein Foundation .

Fonts

  • Random Curves - Journeys of a Mathematician. Springer 2007 (autobiography).
  • -adic Numbers, -adic Analysis, and Zeta-Functions. Springer, Graduate Texts in Mathematics 1977, 1984.
  • Algebraic Aspects of Cryptography. Springer 1988.
  • A Course in Number Theory and Cryptography. Springer, Graduate Texts in Mathematics, 1987, 2nd edition 1994.
  • Introduction to Elliptic Curves and Modular Forms. Springer, Graduate Texts in Mathematics, 1984, 2nd edition 1993.
  • -adic analysis. Cambridge University Press 1980 (London Mathematical Society Lecture Notes).
  • Editor: Number Theory Related to Fermat's Last Theorem. Birkhäuser 1982.
  • Why Study Equations over Finite Fields? Mathematics Magazine, May 1982.
  • The Uneasy Relationship Between Mathematics and Cryptography. Notices AMS 2007, No. 8, PDF file

Web links

References

  1. ^ Koblitz: Elliptic Curve Cryptosystems. Mathematics of Computation Vol. 48, 1987, p. 203
  2. ↑ He reports on this in his essay A mathematical visit to Hanoi . Mathematical Intelligencer Vol. 2, 1979, No. 1
  3. ↑ Ann and Neil Koblitz, Mathematical Intelligencer, Vol. 22, 2000, No. 2
  4. ↑ Prize of the Eduard Rhein Foundation 2020
personal data
SURNAME Koblitz, Neal
ALTERNATIVE NAMES Koblitz, Neal I.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1948