Tzuong-Tsieng Moh

from Wikipedia, the free encyclopedia

Tzuong-Tsieng Moh (* 1940 in Anfuei , Republic of China ) is a Sino-American mathematician .

Life

Moh received his doctorate in 1968 with Shreeram Abhyankar at Purdue University (Galois Theory of one variable power series rings over algebraically closed fields of characteristic p.) And was then Assistant Professor there until 1971. In 1971/72 he was at the Institute for Advanced Study with Arne Beurling (where he proved a generalized deaf substitute, named after him and Beurling). In 1972 he became Assistant Professor and 1975 Associate Professor at the University of Minnesota . In 1975 he became an associate professor and 1983 professor at Purdue University.

He was visiting scholar at the RIMS in Kyoto (1986/87) and in 1992 at the MSRI , at Harvard University (1986) and at the National University of Taiwan and Beijing (1984) and is active in collaborations between Purdue University and Peking University.

He deals with commutative algebra, algebraic geometry, power series and Fourier analysis, but also with coding theory and cryptography (he holds several patents on the TTM, Tame Transformation Method). He deals with the Jacobi conjecture (drawn up by Ott-Heinrich Keller ), of which he proved special cases, the resolution of singularities according to Heisuke Hironaka and questions of embedding (theorem of Abhyankar and Moh (1975): Every embedding of the complex straight line L in the complex affine plane can be extended to an automorphism of the plane).

Zhang Yitang is one of his PhD students .

He was editor of a magazine for Chinese literature Square , was active in the US Peace Movement (Peace Union) and for liberalization in Taiwan, and his hobbies are collecting art, Go, chess and gardening.

Fonts

  • Algebra, World Scientific 1992
  • with Abhyankar: A reduction theorem for divergent power series, Journal for pure and applied mathematics, Volume 241, 1970, pp. 27-33.
  • with Abhyankar: Newton-Puiseux expansion and generalized Tschirnhausen transformation, part 1, 2, Journal for pure and applied mathematics, Volume 260, 1973, pp. 47-83, Volume 261, 1973, pp. 29-53
  • with S. Abhyankar: Embeddings of the line in the plane, Journal for pure and applied mathematics, Volume 276, 1975, pp. 184-166.
  • On the unboundedness of generators of prime ideals in power series rings of three variables, Journal of the Japan Mathematical Society, Volume 26, 1974, pp. 722-734.
  • On the Jacobean conjecture and the configuration of roots, J. Reine and Angewandte Mathematik, Volume 340, 1983, pp. 140-212
  • Quasi-canonical uniformization of hypersurface singularities of characteristic zero, Communication of Algebra, Volume 20, 1992, pp. 3207-3251.
  • On a Newton polygon approach to the uniformization of singularities of characteristic p., Bulletin of La Rabida Symposium, 1995, pp. 53-101
  • On Jacobian Conjecture, Algebra and Geometry, International press, 1997
  • An Application of Algebraic Geometry to Encryption: Tame Transformation Method. Revista Matematica Iberoamericana, Volume 19, 2003, No. 2

Web links

Individual evidence

  1. ↑ Dates of birth according to the membership book of the Institute for Advanced Study 1980
  2. ^ Mathematics Genealogy Project . In Moh: Galois theory of power series rings, American Journal of Mathematics, Volume 92, 1970, pp. 919-950.
  3. ↑ Moh, On a general Tauberian theorem, Proceedings of the American Mathematical Society, Volume 36, 1972, pp. 167-172.
  4. ↑ Hazewinkel (ed.), Encyclopedia of Mathematics, Springer
personal data
SURNAME Moh, Tzuong-Tsieng
BRIEF DESCRIPTION Chinese-American mathematician
DATE OF BIRTH 1940
PLACE OF BIRTH Anfuei , Republic of China