“Bulletin Board”

 School of Mathematics - January 29, 2009

Khwarizmi International Award Festival of 2008

The 22nd round of Khwarizmi International Award Festival

The 22nd round of Khwarizmi International Award Festival

Siamak Yassemi of School of Mathematics received the Khwarizmi International Award in basic sciences.

The Khwarizmi International Award is given annually by the Iranian Research Organization for Science and Technology (IROST) associated with the "Ministry of Science, Research and Technology" to individuals who have made outstanding achievements in research, innovation and invention, in fields related to science and technology.

This year, the prize of the 22nd round of Khwarizmi International Award festival in basic sciences has been awarded to Siamak Yassemi, the Head of School of Mathematics at IPM. The title of the project that has won the prize is "Homological and Combinatorial Methods in Commutative Algebra" .

A summary of the research:

An important motivation for using homological methods goes back to 1956 when Auslander, Buchsbaum, and Serre proved this theorem: "a commutative Noetherian local ring R is regular if and only if the residue field k has finite projective dimension." This introduced the idea that finiteness of a homological dimension for k singles out rings with special properties. An aspect of this research is homological method, with a primary focus on certain dualities that expand upon the work of Auslander et al. In 1975, a new trend in commutative algebra arose with the work of Richard Stanely who used the theory of Cohen-Macaulay rings to affirmatively prove the upper bound conjecture for spheres. It then turned out that commutative algebra supplies basic methods in the algebraic study of combinatorics for convex polytopes and simplicial complexes. The other aspect of this research is the study of monomial ideals from both algebraic and combinatorial points of view. The results of this research have been published in more than 60 papers in international journals and have been cited 125 times by 72 different authors.

You may find more information by clicking here. (in Farsi)

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