Rashid Zaare-Nahandi

rashid.zaare

Associate Professor of Mathematics

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

Associate Professor, Institute for Advanced Studies in Basic Sciences (IASBS), (2011-present).

Assistant Professor, Institute for Advanced Studies in Basic Sciences (IASBS), (1999-2011).

Chairman, Department of Mathematics, IASBS (2002-2004 and 2006-2009).

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 and 2004-2006).

Member of editorial board of Farhang va Andishe Riazi (2010-present).

Member of the National and State Councils of World Mathematical Year 2000.

Head, Scientific Committee of the Iranian Mathematics Competitions for University Students (2003-2006).

Organizer of CIMPA-UNESCO-IRAN School on Gröbner Bases and Applications, 19-30 July 2005, IASBS, Iran.

Organizer of Workshop on Computational Commutative Algebra, 2-7 July 2011, IPM, Iran (joint with Hossein Sabzrou).

Chair of Scientific Committee of the Mathematics House of Zanjan (2002-present).

 

Publications

1.     (with Marcel Morales and Ali Akbar Yazdan Pour) The regularity of edge ideals of graphs, to appear in Journal of Pure and Applied Algebra.

2.     Universally Koszul algebras defined by graphs, to appear in Journal of Discrete Mathematical Sciences and Cryptography.

3.     (with Abbas Nasrollah Nejad) Aluffi torsion-free ideals, Journal of Algebra 346 (2011) 284-298.

4.     Invariance of the barycentric subdivision of a simplicial complex, Bull. Iranian Math. Soc. 37 (3) (2011) 10 pages.

5.     (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.

6.     On isomorphism of simplicial complexes and their related algebras, Bull. Iranian Math. Soc. 35 (1) (2009) 41-48.

7.     Some infinite classes of Fullerene graphs, Intern. Math. Forum, Vol. 1, no. 40 (2006) 1997-2002. 

8.     Perfect matchings in graphs, an approach via Grobner basis, Southeast Asian Bulletin of Mathematics, Vol. 30 (2006) 341-345.

9.     (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.

10.  (with Hamid Usefi) A note on minors of a generalized Hankel matrix, Intern. Math. J., Vol. 3, no. 11 (2003) 1197-1201.

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.

Publications in Persian

1.     History of Iranian mathematics competitions for university students, a chapter in the book "Iranian Mathematics Competitions for University Students", by B. Yahaghi, Iranian Math. Soc. and Iran University Press, Tehran, 2009. (English version is published by Hindustan Publishing Co. 2009).

2.     Buchberger and Grobner bases (an expository and review article on history of Grobner bases and role of Buchberger in improving the theory), Farhang va Andishe Riazi, 44 (2010) 55-80.

Preprints

Cohen-Macaulayness of bipartite graphs, revisited, arXiv:1104.4556v1.

Pure simplicial complexes and well covered graphs, arXiv:1012.0457v2.

(with M. Morales, A. Nasrollah Nejad, A. Yazdan Pour) Monomial ideals with 3-linear resolutions.

 

Talks in International Conferences

 

1.     Free resolution of the ideal of 2-minors of a (2 x n) matrix of linear forms, 11th Seminar on Algebra, Isfahan Univ. of Tech., 27-29 October 1999.

2.     Generalized Hankel matrices and their applications in algebraic geometry, 3rd Joint Seminar on Applied Math, Baku State University, 6-8 September 2002,

3.     (with Rahim Zaare-Nahandi) Minimal free resolution of some monomial ideals, a survey, 15th Seminar on Algebra, Guilan University, 19-20 July 2003. (Main Invited Speaker)

4.     Domination ideal of a graph, 2nd Seminar on Commutative Algebra, IPM, 16-17 November 2005. (Invited Speaker)

5.     On isomorphism of simplicial complexes and their related rings, 3rd Seminar on Commutative Algebra, IPM, 10-11 January 2007. (Invited Speaker)

6.     Minimal free resolution of the associated graded ring of monomial affine curves, International Conference on Commutative Algebra, IIT Mumbai, 8-12 January 2008. (Invited Speaker)

7.     Some infinite classes of Fullerene graphs, The first Conference and Workshop on Mathematical Chemistry, Tarbiat Modares University, 29-31 January 2008.

8.     Betti numbers of the associated graded ring of certain monomial curves, 5th International Fez Conference on Commutative Algebra and Applications, 23-28 June 2008, Fez University. (Invited Speaker)

9.     (with Abbas Nasrollah Nejad) Hilbert Series of monomial algebras, 39th Annual Iranian Mathematics Conference, University of Kerman, 24-27 August 2008.

10.  Homomorphism of simplicial complexes, 4th Seminar on Commutative Algebra, 5th Seminar on Commutative Algebra, Isfahan University of Technology 10-11 December 2008. (Invited Speaker)

11.  Minimal free resolution of associated graded rings, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, 16-19 August 2009.

12.  Universally Koszul graphs, 21th Seminar on Algebra, University of Tabriz, 10-11 November 2010.

13.  Barycentric subdivision of simplicial complexes, 7th Seminar on Commutative Algebra, IPM, 1-2 December 2010. (Main Speaker)

14.  Pure simplicial complexes and well-covered graphs, 3rd Algebraic Combinatorics Conference of Iran, University of Isfahan, 24-25 February 2011.

15.  Aluffi torsion-free ideals, 42nd Annual Iranian Mathematics Conference, University of Rafsanjan, 5-8 September 2011. (Invited Speaker)

16.  A new method for checking Cohen-Macaulayness of bipartite graphs, 8th Seminar on Commutative Algebra, IPM, 30 November-1 December 2011.

17.  A classification of monomial ideals with 3-linear minimal free resolution, 22nd Iranian Algebra Seminar, Sabzevar Tarbiat Moallem University, 31 Jan - 2 Feb 2012. (Keynote speaker)

18.  Regularity of monomial ideals generated in degree 2 and 3, 2nd Seminar on Combinatorial Commutative Algebra, IPM, February 2012.

 

Visiting Positions

Research fellowship of ICTP, Abdus-salam ICTP, Trieste, Italy, June-September 2001.

Research fellowship of Austrian Academy of Science, Research Institute for Symbolic Computation, Linz, Austria, March-July 2006.

Sabbatical Leave, University of Genova, Genova, Italy, September 2009-June 2010.

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 I & II (graduate);  Advanced Algebra I & II (graduate); Algebraic Graph Theory (graduate); Algebraic Topology (graduate); Combinatorial Commutative Algebra (graduate).

Ph. D. Students

Leila Sharifan (Joint with F. Rahmati), graduated, Ali Akbar Yazdan Pour (Joint with M. Morales), Abolfazl Tarizadeh.

Supervised M. Sc. Thesis

Ali Moharrami (2000), Rasoul Moghaddam (2002), Hamid Usefi (2002), Firouz Alipour (2002), Mojtaba Zamani (2003), Vajiheh Tarviji (2003), Seyyed Mohammad Ajdani (2004), Abbas Nasrollah Nejad (2006), Pouya Nikoo (2006), Saeed Alirezazadeh (2007), Abolghasem Dashtban (2007), Aliakbar Yazdanpour (2007), Saeed Shaabani (2007), Mohammad Pirhayati (2007), Ehsan Hesamifard (2008), Zeinab Kodaee (joint with M. Zaker) (2008), Leila Tajdoust (joint with A. Rahnama) (2008), Neda Mohammadzadeh (2009), Masoud Mohammadpour (2009), Asghar Madadi (2009), Zabihollah Fallah (2009), Farzad Elmi (joint with S. Salehi) (2010), Hossein Kheyri (2011), Zahra Shahidi (2011).

 

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) 4155109

Fax: +(98)(241) 4152244

Last update: February 2012