Rashid Zaare-Nahandi

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Birth: 1964, Tabriz, IRAN

Family: Parvaneh (wife), Kourosh and Arash (sons)

Education

Ph.D.: University of Tehran (Tehran, Iran), 1999.

M. Sc.: University of Teacher Education (Tehran, Iran), 1993.

Bachelor: Sharif University of Technology (Tehran, Iran) , 1990.

Ph.D. Thesis Supervisor

Professor Rahim Zaare-Nahandi.

Thesis Title

Grobner basis and free resolution of the ideal of 2-minors of a (2 x n) matrix of linear forms.

Area of Research

Algebraic Geometry, Commutative Algebra, Algebraic Combinatorics.

Specific Topics of Interests

Computational methods in Algebraic Geometry and Commutative Algebra, Free resolution of ideals of polynomial rings, Grobner basis.

Positions

  • Assistant Professor, Institute for Advanced Studies in Basic Sciences (IASBS), (1999- ).
  • Chairman of Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), (2002- 2004, 2006-2009).
  • Local organizer and coordinator of scientific committee of the CIMPA School on Grobner Bases and Applications,  9-22 July 2005, IASBS, Iran.
  • Head of Scientific Committee of the National Mathematics Competitions for University Students (2003-2006).
  • Member of Executive Committee of the Iranian Mathematical Society (1998-2000, 2003-2006, 2006-2009).
  • Editor-in-chief, Newsletter of the Iranian Mathematical Society (1998-2000, 2008-2009).
  • Member of Editorial Board, Newsletter of the Iranian Mathematical Society (2001- 2007).
  • Member of Scientific Committee of  Zanjan's House of Mathematics.
  • Member of the National and State Councils of World Mathematical Year 2000.

Publications

  1. Buchberger and Grobner bases (an expository article on history of Grobner bases and role of Buchberger in improving the theory), in Persian, To appear in Farhang va Andishe Riazi.
  2. History of Iranian mathematics competitions for university students (in Persian), to appear in the book of the competitions, IMS and University Press, Tehran.
  3. (with L. Sharifan) Minimal free resolution of associated graded ring of monomial curves of generalized arithmetic sequences, Journal of Pure and Applied Algebra 213 (2009), pp. 360-369.
  4. On isomorphism of simplicial complexes and their related algebras, to appear in Bull. Iranian Math. Soc. 34 (1) (2009).
  5. (with A. Nasrollahnejad) Hilbert series of monomial algebras, Proc. 39th Annual Iranian Math. Conf., Kerman University, August 2008.
  6. Some infinite classes of Fullerene graphs, Intern. Math. Forum, Vol. 1, no. 40 (2006) 1997-2002. 
  7. Perfect matchings in graphs, an approach via Grobner basis, Southeast Asian Bulletin of Mathematics, Vol. 30 (2006) 341-345.
  8. (with Rahim Zaare-Nahandi) The minimal free resolution of a class of square-free monomial ideals, Journal of Pure and Applied Algebra 189 (2004) 264-278.
  9. (with Hamid Usefi) A note on minors of a generalized Hankel matrix, Intern. Math. J., Vol. 3, no. 11 (2003) 1197-1201.
  10. (with Rahim Zaare-Nahandi) Minimal free resolution of some monomial ideals, Proc. 15th Algebra Seminar, Guilan University, July 2003, 124-136.
  11. (with Rahim Zaare-Nahandi) Grobner basis and free resolution of the ideal of 2-minors of a 2 x n matrix of linear forms, Communications in Algebra, 28 (9) (2000) 4433-4453 .

Courses Taught

Calculus (undergraduate); Algebra I & II (undergraduate); Projective Geometry (undergraduate); Introduction to Algebraic Geometry (undergraduate); Complex Variables (undergraduate); Linear Algebra (undergraduate); Commutative Algebra I & II (graduate); Algebraic Geometry I & II (graduate); Computational Methods in Commutative Algebra and Algebraic Geometry (graduate);  Advanced Algebra (graduate); Algebraic Graph Theory (graduate); Algebraic Topology (graduate); Combinatorial Commutative Algebra (graduate).

Ph. D. Students

Leila Sharifan (Joint with F. Rahmati), Aliakbar Yazdanpour (Joint with M. Morales), Abolfazl Tarizadeh.

Supervised M. Sc. Thesis

  1. Ali Moharrami, Grobner bases of  ideal of minors of a matrix, May 2000.
  2. Rasoul Moghaddam, Grobner bases and the Knuth-Robinson-Schensted correspondence, February 2002. 
  3. Hamid Usefi, Ideal of minors of a Hankel matrix, August 2002.
  4. Firouz Alipour, A minimal free resolution for some monomial ideals, October 2002.  
  5. Mojtaba Zamani, Minimal free resolution for generic monomial ideals, April 2003. 
  6. Vajiheh Tarviji, Solving system of polynomials, November 2003.
  7. Seyyed Mohammad Ajdani, Grobner bases and primary decomposition of polynomial ideals, December 2004.
  8. Abbas Nasrollah Nejad, Ideals of points in affine and projective spaces, June 2006.
  9. Pouya Nikoo, Stanley-Reisner rings, October 2006.
  10. Saeed Alirezazadeh, Domination ideals of graphs, April 2007.
  11. Abolghasem Dashtban, Resultant and its applications, July 2007.
  12. Aliakbar Yazdanpour, Simplicial complexes and their Cohen-Macaulay properties, August 2007.
  13. Saeed Shaebani, Reversible rings, September 2007.
  14. Mohammad Pirhayati, Betti numbers of some classes of graphs, October 2007.
  15. Ehsan Hesamifard, Zero-divisor graph of a ring, June 2008.
  16. Zeinab Kodaee (joint with M. Zaker), The Colin de Verdier parameter and its applications in graph theory, September 2008.
  17. Leila Tajdoust (joint with A. Rahnama), Applications of Grobner bases in association schemes and coding theory, November 2008.
  18. Neda Mohammadzadeh, Symbolic powers of monomial ideals and vertex cover algebras, February 2009.
  19. Asghar Madadi, Hilbert series, August 2009.
  20. Masoud Mohammadpour, The minimal free resolution of a class of square-free monomial ideals, September 2009.
  21. Zabihollah Fallah, Permanental ideals, September 2009.

Contact me

e-mail: rashidzn at sign iasbs dot ac dot ir

Mailing address: IASBS , P.O. Box 45195-1159, Zanjan, Iran

Tel : +(98)(241) 4152248

Fax: +(98)(241) 4152244

Last update: September 2009