Paul Monsky

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Paul Monsky

Paul Monsky (born June 17, 1936 ) is an American mathematician who studies number theory, algebraic geometry, and commutative algebra.

Monsky studied with a grant from the National Science Foundation at Swarthmore College and at the University of Chicago , where he received his doctorate under Walter Baily in 1962 ( The automorphism groups of algebraic curves ). He had been a professor at Brandeis University since the early 1970s , where he is now professor emeritus.

In 1968 he and Gerard Washnitzer introduced the Monsky-Washnitzer cohomology , a p-adic cohomology theory for affine non-singular varieties over bodies with positive characteristics.

In 2007 he showed with Holger Burner that tight closure ( firmer conclusion , one in 1986 by Melvin Hochster and Craig Huneke introduced concept of commutative algebra) from Dimension 3 does not commute with localization, that is not compatible with it. They answered a Hochster problem (tight closure is different from plus closure ).

Monsky also dealt with various problems of elementary geometry. The only known proof so far comes from Monsky that squares cannot be broken down into an uneven number of triangles of equal area . He extended this to the proof of Sherman's conjecture for the decomposition of centrally symmetric polygons in the Euclidean plane into an odd number of triangles of equal area.

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( One dimensional formal cohomology ).

Web links

Individual evidence

  1. ↑ Paul Monsky in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / name used
  2. ↑ Monsky, Washnitzer Formal cohomology I , Annals of Mathematics, Volume 88, 1968, pp. 181-217, Part II by Monsky, ibid. Pp. 218-238
  3. ^ Brenner, Monsky Tight Closure does not commute with localization , Annals of Mathematics Volume 171, 2010, pp. 571-588
  4. ^ Monsky On dividing the square into triangles , American Mathematical Monthly, Volume 77, 1970, pp. 161-164, presented in Aigner, Ziegler Proofs from the Book , Springer. The proof uses valuation theory .
  5. ↑ Monsky A conjecture of Stein on plane dissections , Mathematische Zeitschrift, Volume 202, 1990, pp. 583-592
personal data
SURNAME Monsky, Paul
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 17, 1936