Personal Data
Date of Birth: July, 26, 1961
Place of Birth: Arak, IRAN
Nationality: Iranian
Education
B.Sc: Shahid Beheshti University (Tehran, Iran), 1985
M.Sc. :Sharif University of Technology (Tehran, Iran), 1989
Ph.D. : University of Tehran(Tehran, Iran), 1998
M.Sc Thesis
Distribution of Values of Holomorphic Curves
Ph.D Thesis
Complex Supermanifolds with Boundary and Kahlerian Supermanifolds
First rank in B.Sc
Selected for recieving scholarship by Behshti University for graduate study
Second rank in MSc
Assistant Professor, Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Nov. 23, 1999 to March 19, 2011.
Member of State Committee of World Mathematical Year
Member of organizing committee of Regional Summer School on Group Theory,IASBS, July 2000
Member of Organizing Committee of 26th National Mathematics Competition of University Students, May 2002
Member of Research Council of IASBS, September 9, 2002 to September 22, 2004
Member of Departmental Committee on Ph.D. affairs , September 23, 2002
Member of Librery Committee of IASBS, September 23, 2005 to July 31, 2006
Iranian Mathematical Society representative in Math Department, September 2005 to March 2009
Member of Scientific Committee of 38th Annual Iranian Mathematics Conference, 2007
Dean of the Faculty of Mathematics, June 29, 2011 to June 3, 2013
Member of Scientific Council of Zanjan Mathematics House, July 24, 2011
Member of Organisational Development Group of the Faculty of Mathematics, December 22, 2011
Associate Professor, Department of Mathematics, IASBS, March 20, 2011
Head of the Elites Foundation of Zanjan State, December 3, 2013
Reviewer in the Iranian Journal of Science and Technology (IJST), October 26, 2014
Fields of interest
Complex Differentioal Geometry
Algebraic Topology
Global Analysis
Publications
Supergeometric generalization of the Chern classes in supergeometry, submitted
Supergeometric generalization of the projective spaces, Frontier in Mathematical Sciences Conference, 2012. http://front.math.sharif.ir
Homotopy classification of super line bundles, Booklet of the XXXI Workshop on Geometric Methods in Physics, 2012
$\nu$- Classes, International Journal of Geometrical Methods in Modern Physics, Vol. 9, No. 4 ( 2012)
$\nu$- Manifolds, International Journal of Geometrical Methods in Modern Physics, Vol. 8, No. 6 ( 2011)
$\nu$- projective spaces, $\nu$- line bundles and Chern classes, International Journal of Geometrical Methods in Modern Physics, Vol. 8, No. 2 ( 2011)
$\nu$- spheres, $\nu$- degrees and $\nu$- algebras, International Journal of Geometrical Methods in Modern Physics, Vol. 6, No. 7 ( 2009)
On a theory of Chern classes for super vector bundles, International Journal of Geometrical Methods in Modern Physics, Vol. 5, No. 3 ( 2008)
Psuedodifferential forms and their applications, Proceedings of 35th Annual Iranian Mathematics Conference, 2005
Extended volume forms on supermanifolds, Proceedings of 3rd Seminar on Geometry and Topology, 2004
On extension of characteristic classes on supermanifolds , International Mathematical Journal, Vol. 3, No. 11, 2003
A New cohomology ring for supermanifolds, Journal of Mathematical Physics , Vol. 43 ,No. 1 , 2002
A Particle Model for Moduli Spaces of Holomorphic Curves on Rationally Connected Manifolds, Proceedings of International Congress of Mathematicians, 2002
A New Cohomology Ring for Supermanifolds, Proceedings of The First Seminar on Geometry and Topology, 2001
Kahlerian supermanifolds, Journal of Mathematical Physics ,Vol. 40, No. 12, 1999, 6701-6706
(with M. M. Rezaii) Complex supermanifolds with boundary and their parametrization; Algebras, Groups and Geometries , No.2, 1999
The First Congress of Ph.D Students in Basic Sciences, University of Tehran , May 1996
School on Vanishing Theorems and Effective Result in Algebraic Geometry, ICTP, Italy , 25April - 12May 2000
The First Seminar on Geometry and Topology, Research Institute for Fundemental sciences of Iran, Tabriz , January 2001
Workshop on Topology of Manifolds and Group Actions, Centre de Recherches Mathematiques (CRM) , University of Montreal , Canada , August 20 - 24, 2001
International Congress of Mathematicians, Beijing, China, August 20-28, 2002
3rd Seminar on Geometry and Topology, Tabriz, Iran, July 15 - 17, 2004
35th Annual Iranian Mathematics Conference, Ahvaz, Iran, January 26 - 29, 2005
XXXI Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 24- 30, 2012
Sixth European Congress of Mathematics, Krakow, Poland, July 2- 7, 2012
Frontier in Mathematical Sciences, Sharif University, December 25- 27, 2012 (invited)
Grants
Extension of cellular complexes in supergeometry , March 2007 to March2008, Funded by Institute for Advanced Studies in Basic Sciences
\nu- Geometry and Schubert super varieties, March 2008 to March 2009, Funded by Institute for Advanced Studies in Basic Sciences
\nu- Linear algebra and \nu- manifolds, March 2009 to March 2010, Funded by Institute for Advanced Studies in Basic Sciences
\nu- Vector bundles and \nu- Connections, March 2010 to March 2011, Funded by Institute for Advanced Studies in Basic Sciences
Flag superbundles and \nu- classes of higher order, March 2011 to March 2012, Funded by Institute for Advanced Studies in Basic Sciences
IASBS
New Complex for Grassmanian Supermanifolds , Sep. 23 , 1999 to July 22 , 2000
Deformation of Kahlerian Superstructures , IASBS , July 23 , 2000 to November 21, 2001
Stability Theorem for Rationally Connected Manifolds , IASBS , Nov. 2001 to Nov. 21 , 2002
Cyclic Cocycle Associated with Subsupermanifolds, IASBS, March 2003 to March 20, 2004
Cyclic Cohomology of the Algebra of Pseudodifferential Forms, IASBS, March 21, 2004 to July 22, 2005
Comparatively Study the Associated Homological classes to Schubert Super Cells and Characteristic Classes for Super Vector Bundles, IASBS, July 23, 2005 to July 21, 2006
Schubert supervarieties and cellular complex, IASBS, July 22, 2006 to March 20, 2007
IPM
The Extension of the Concept of Characteristic Classes , March 21, 2000 to March 20 , 2001
Topology of Moduli Space of Holomorphic Curves , March 21 , 2001 to March 20 , 2002
Generalization of the concept of Chern classes in supergeometry, Research Day, IASBS, December 2012
\nu- classes, IASBS, 2012
Supergeometric Generalization of n- Spheres, IASBS, 2008
Quantum Planes, IASBS, 2005
Graded Manifolds, IASBS, 2003
Quantization , IASBS , 2002
DNA Knots , Zanjan University , 2001
Differential Forms, IASBS, 2000
Cyclic Cohomology and Characteristic Classes, IASBS,2000
Cohomology of Groups,University of Tehran, 1996
Invariant of Knots, Zanjan University, 1994
Infinity, Zanjan University, 1993
Riemannian Surfaces, Zanjan University, 1992
Morse Theory, University of Tehran, 1991
Calculus of Variation, University of Tehran, 1991
Schubert Calculus, University of Tehran,1990
Differentiable Manifolds 1, 2, 3
Vector Bundles 1, 2, 3
Sheaf Theory and Cohomology
Riemannian Geometry
Algebraic Topology 1, 2, 3
Symplectic Geometry 1
Symplectic Geometry 2 (with Dr Esfahanizadeh )
Complex Manifolds
Differential Geometry
Knot Theory 1, 2
Calculus 1, 2, 3
Graded Manifolds
Lie Groups 1
Hyperbolic Geometry 1, 2
Dynamical Systems ( with Dr Nassiri )
K- theory 1, 2 ( with Dr Mirzaii )
Characteristic Classes ( with Dr Mirzaii )
Lie Groups and Lie Algebras 1( with Dr Asadi )
Lie Algebras ( with Dr Asadi )
Infinite Dimensional Lie Algebras ( with Dr Asadi )
Weil Homomorphism and Chern Classes
M.Sc
Cyclic Cohomology of Noncmmutative Tori, M.Sc Thesis, IASBS, July 2000
Geodesic Deformations of Riemannian Manifolds, M.Sc Thesis , IASBS , February 2002
Quantum Supergroups and Tpological Invariants of Knots, M. Sc Thesis, IASBS, March 2007
Chern Classes for Super Vector Bundles, M. Sc Thesis, IASBS , September 2007
Clifford Bundles and Getzler Calculus, M. Sc Thesis, IASBS, March 2008
Continued Fractions, Discrete Groups and Complex Dynamics, M. Sc Thesis, IASBS, October 2008
Spectral Graph Theory, M. Sc Thesis, IASBS, December 2008
Hamilton's Ricci Flow, M. Sc Thesis, IASBS, January 2010
The Poincare - Bendixson Theorem on the Klein Bottle for Continuous Vector Fields, M. Sc Thesis, IASBS, January 2010
Spin Structures on Manifolds, M. Sc Thesis, IASBS, February 2010
Riemannian Geometry of Orbifolds, M. Sc Thesis, IASBS, December 2010
(with Dr M. Nasiri) The Nash- Moser Theorem and its Applications, M. Sc Thesis, January 2011
An Introduction to Lorentz Spinors Theory, M. Sc Thesis, January 2012
A Generalization of Lusternik - Schnirelman Theory, M. Sc Thesis, January 2012
Equivariant K- Theory, M. Sc Thesis, April 2012
Kahlerian Manifolds with Constant Bisectional Curvature, September 2012
Generalization of Differential Geometry over General Base Rings, October 2012
Differential Calculus Over Rings, March 2013
\nu- Projective Spaces, March 2014
(with Dr J. Taghizade) Einstein's Field Equations, March 2014
Holonomy Groups of Symmetric Spaces, April 2014
Ph.D
(with Matilde Marcolli) Green's Function of the Boundary at Infinity of Hyperbolic 3 - Maniflods, PhD Thesis, IASBS, January 2010
Visit and Do Joint Research , Centre de Recherches Mathematiques (CRM) , University of Montreal , Canada , July 15 _ September 15, 2001
e-mail : varsaie@iasbs.ac.ir
Mailing address: IASBS , P.O.Box 45195-1159, Zanjan, Iran
Tel : +(98)(241) 33155107
Fax: +(98)(241) 33155097