Yousef Zamani, PhD Personal Information: Name: Yousef Zamani Fax: +98 413 344 4300 Professional Experience: · Sahand University of Technology Assistant Professor 1999 2007 · Sahand University of Technology Associate Professor 2007 2016 Education: · B.Sc: Pure Mathematics University of Tabriz 1992 Iran · M.Sc: Pure Mathematics University of Tabriz 1994 Iran · Ph.D: Pure Mathematics University of Tabriz 1998 Iran Areas of Interests: · Linear & Multilinear Algebra · Representation Theory of Finite Groups · Group Theory and Graph Theory · Symmetry Classes of Tensors · Decomposable Numerical Range · Symmetry Classes of Polynomials · Probabilistic Group Theory Teaching Experience: · Calculus (B.Sc) · Differential Equations (B.Sc) · Engineering Mathematics (B.Sc) · Linear Algebra (B.Sc) · Algebra ( B.Sc) · Advanced Algebra (M.Sc) · Representation Theory of Finite Groups (M.Sc) · Multilinear Algebra (M.Sc & Ph.D) · Finite Groups (M.Sc) · Lie Algebra (M.Sc) · Finite Groups II ( Ph.D) · Representation Theory of the Symmetric Group (Ph.D) · Selected Topics in Multilinear Algebra (Ph.D) · Character Theory of Finite Groups (Ph.D) Training Courses and Workshops Attended: · Workshop on the Theory of Free Presentation of Groups and the algebraic software GAP (Group, Algorithm, Programming) organized by the Department of Mathematics will be held 912 August, 2003 at IASBS, ZanjanIran. · Workshop on Operator Inequalities, Mahani Mathematical Research center, Kerman, Iran, 2529 Dec 2004. · Workshop on Noncommutative Geometry and Cyclic Cohomology, Isaac Newton Institute for Mathematical Sciences, 31 Jul4 Aug 2006. · Workshop on Wavelet, ValiEAsr University of Rafsanjan, Rafsanjan, Iran, 79 March 2007.
··Outstanding M.Sc. graduate of Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran, 1994.
Publications: 1. Modular symmetry classes of tensors associated with abelian groups, Pure Mathematics and Applications, Vol. 10, No. 1 (1999) 93108 (with M. A Shahabi). 2. The vanishing of modular symmetry classes of tensors, Pure Mathematics and Applications,Vol. 11, No. 1 (2000) 99104. 3. Modular symmetry classes of tensors associated with dihedral groups, Pure Mathematics and Applications,Vol. 11, No. 4 (2000) 615627 (with M. A Shahabi) 4. The dimensions of modular symmetry classes of tensors associated with dicyclic groups, Pure Mathematics and Applications, Vol. 12, No. 4 (2001) 437450 (with A. A. Mehrvarz) 5. The dimension of orbital subspace, Pure Mathematics and Applications, Vo. 14, No. 4, (2003) 347354. 6. The theory of jacobi systems and their abelian representations, Turkish Journal of Mathematics, Vol. 28, No. 2 (2004) 119135 (with M. Shahryari ). 7. The dimensions of certain modular symmetry classes of tensors, JP Journal of Algebra, Number Theory & Applications, Vol. 7, No. 2 (2007) April issue 23  232 . 8. On the special basis of a certain full symmetry class of tensors, Pure Mathematics and Applications, Vol. 18, No. 34 92007) 357363. 9. Symmetry classes of tensors associated with Young subgroups, Asian  European Journal of Mathematics, Vol. 4, No. 1 (2011) 179185. ( with M. Shahryari). 10. An extension of the spectral inculsion spec(K(T)) \subset W(K(T)), ROMAI Journal, Vol 7, No. 1 (2011) 183188. 11. On the dimensions of Cartesian Symmetry classes, Asian  European Journal of Mathematics, Vol. 5, No. 3 (2012) 1250046 (7 pages)( with M. Shahryari). 12. Symmetry classes of polynomials associated with the dicyclic group, Asian  European Journal of Mathematics, Vol. 6, No. 3 (2013) 1350033 (10 pages)( with E. Babaei). 13. The dimensions of cyclic symmetry classes of polynomials, Journal of Algebra and Applications, Vol. 13, No. 2 (2014) 1350085 (10 pages)(with E. Babaei). 14. On the decomposable numerical range of operators, Bulletin of the Iranian Mathematical Society,Vol. 40, No. 2 (2014) 387398(with S. Ahsani). 15. Symmetry classes of polynomials associated with the dihedral group, Bulletin of the Iranian Mathematical Society,Vol. 40, No. 4 (2014) 863874 (with E. Babaei). 16. Symmetry classes of polynomials associated with the direct product of permutation groups, International Journal of Group Theory, Vol. 3, No. 4 (2014) 6369. 17. On the dual of an algebraic quantum group, ICASTOR Journal of Mathematical Sciences, Vol. 8, No. 1 (2014) 2938 (with H. Abbasi & G. A. Haghighatdoost). 18. Symmetry classes of polynomials, Communications in Algebra, Vol 40 (2016) 15141530 (with E. Babaei & M. Shahryari) 19. Induced operators on the space of homogeneous polynomials, Asian European Journal of Mathematics, Vol. 9, No. 2 (2016) 1650038 (15 pages) (with M. Ranjbari).
20. Induced operators on symmetry classes of polynomials, to appear in international Journal of Group Theory (with M. Ranjbari).
21 . Representations of the general linear group over symmetry classes of polynomials, to appear in Czechoslovak Mathematical Journal (with M. Ranjbari). Presentations: 1. Modular symmetry classes of tensors associated with abelian groups, presented in 10th Algebra Seminar of Iranian in Kordestan University, 21  22 October 1998. 2. Modular symmetry classes of tensors associated with dihedral groups, presented in 30th Iranian Mathematics Conference in Ardabil University, August 1999. 3. The vanishing of modular symmetry classes of tensors , Proceeding of the 11th Algebra Seminar of Iranian , Isfahan University of Technology, 2729 October 1999. 4. The pblocks of dicyclic groups, Proceeding of the 14th Algebra Seminar, Azzahra University, 1618 July 2002.. 5. Abelian representations of jacobi systems, presented in 33th Iranian Mathematics Conference, Ferdowsi University of Mashhad, Aug 30Sep 02/2002. 6. The Pblocks of dihedral groups, Proceeding of the 15th Algebra Seminar of Iranian , Guilan University , 1920 July 2003, pp. 137141. 7. Dimension of orbital subspace, presented in 16th Algebra of Iranian, Institute for Advanced Studies in Basic Sciences  Zanjan, 17  19 November 2004. 8. Dimensions of modular symmetry classes of tensors associated with certain groups, presented in Third Seminar on Linear Algebra and its Applications, Mahani Mathematical Research Center  Kerman, 28  29 December 2004. 9. Modular symmetry classes of tensors associated with the symmetric groups, 35th Annual Iranian Mathematics Conference, January 26  29, 2005, 10. Cyclic modular symmetry classes of tensors, presented in International conference on Mathematics and Mechanics, 11. A brief survey on modular symmetry classes of tensors, 12th International Linear Algebra Society Conference, June 26 29, 2005, 12. On the orthogonal dimension of critical orbital sets, Proceeding of the 17th Seminar on Algebra, University of Sistan & Baluchestan, 89 March 2006. 13. NonCommutative vector bundle, Extended Abstracts of 37th Annual Iranian Mathematics Conference, 25 September 2006, 14. A note on symmetry classes of tensors, presented in 4th Seminar in Linear Algebra and its Applications, ValiEAsr University of Rafsanjan, 15. Hochschild homology groups of the group algebra kG, presented in 18th Seminar on Algebra, Damghan University of Basic Sciences, 45 April 2007. 16 . Noncommutative character theory of the symmetric group, Extended Abstracts of 38th Annual Iranian Mathematics Conference, 36 September 2007, Uniiversity of zanjan, pp. 7981. 17. Critical tensors in Grassmann space and completely symmetric space, presented in 19th Seminar on Algebra, Semnan University, 1213 March 2008. 18. Decomposable numerical range, presented in 17th Seminar of Mathematical Analysis and its Applications, Arak University, 2324 April 2008. 19. A note on decomposable numerical range of derivation of induced operator, Extended Abstracts of the 39^{th} Annual Iranian Mathematics Conference, 27 August 2008, shahid Bahonar Uniiversity of Kerman, pp. 773776. 20. A brief survey on the equality of immanantal decomposable tensors, Extended Abstracts of the 39th Annual Iranian Mathematics Conference, 2427 August 2008, shahid Bahonar Uniiversity of Kerman, 777780. 21. Note on the equality of decomposable symmetrized tensors, Tarbiat Moallem Uninversity, 22. Two irreducible subset of Grassmann Algebra, Extended Abstracts of the Fifth Seminar of Geometry and topology, 23. Symmetry classes of tensors associated with Young subgroups, International Conference of Mathematical Sciences, 0410 August 2009, Maltepe University, Istanbul, Turkey. 24. Numerical Range of an Induced Operator, Extended Abstracts the 5th Seminar on Linear Algebra and its Applications & Workshop 25. Variation of induced linear operators, Abstracts of 41st Annual Iranian Mathematics Conference, 1215 September 2010, University of Urmia, pp. 193. 26. Dimension of the space of relative symmetric polynomials associated with cyclic groups, Extended Abstracts the 6th Seminar on Linear 27. Orthogonality of decomposable symmetrized tensors, The Fourth Conference on Algebraic Combinatorics, 28. Dimensions of symmetry classes of polynomials associated with dicyclic groups, 22th Iranian Algebra Seminar, 29. On the orthogonal basis of symmetry classes of polynomials, Fourth Group Theory Conference of Iran , 79 March 2012, Payam Noor University of Isfahan, Isfahan, Iran. Technical Reports: 1. Modular Symmetry Classes of Tensors Associated with Dicyclic Groups University of Tabriz 19981999 finished 2. Abelian Representations of Jacobi Systems Sahand University of Technology 20012002 finished 3. Modular Symmetry Class of Tensors Associated with the Principal pBlock Sahand University of Technology 20022004 finished 4. Decomposable Numerical Range Sahand University of Technology 20092010 finished.
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