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

#### Awards/Honors

• First rank in B.Sc

• Selected for recieving scholarship by Behshti University for graduate study

• Second rank in MSc

## Positions

• 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

1. Supergeometric generalization of the Chern classes in supergeometry, submitted

2. Supergeometric generalization of the projective spaces, Frontier in Mathematical Sciences Conference, 2012. http://front.math.sharif.ir

3. Homotopy classification of super line bundles, Booklet of the XXXI Workshop on Geometric Methods in Physics, 2012

4. $\nu$- Classes, International Journal of Geometrical Methods in Modern Physics, Vol. 9, No. 4 ( 2012)

5. $\nu$- Manifolds, International Journal of Geometrical Methods in Modern Physics, Vol. 8, No. 6 ( 2011)

6. $\nu$- projective spaces, $\nu$- line bundles and Chern classes, International Journal of Geometrical Methods in Modern Physics, Vol. 8, No. 2 ( 2011)

7. $\nu$- spheres, $\nu$- degrees and $\nu$- algebras, International Journal of Geometrical Methods in Modern Physics, Vol. 6, No. 7 ( 2009)

8. On a theory of Chern classes for super vector bundles, International Journal of Geometrical Methods in Modern Physics, Vol. 5, No. 3 ( 2008)

9. Psuedodifferential forms and their applications, Proceedings of 35th Annual Iranian Mathematics Conference, 2005

10. Extended volume forms on supermanifolds, Proceedings of 3rd Seminar on Geometry and Topology, 2004

11. On extension of characteristic classes on supermanifolds , International Mathematical Journal, Vol. 3, No. 11, 2003

12. A New cohomology ring for supermanifolds, Journal of Mathematical Physics , Vol. 43 ,No. 1 , 2002

13. A Particle Model for Moduli Spaces of Holomorphic Curves on Rationally Connected Manifolds, Proceedings of International Congress of Mathematicians, 2002

14. A New Cohomology Ring for Supermanifolds, Proceedings of The First Seminar on Geometry and Topology, 2001

15. Kahlerian supermanifolds, Journal of Mathematical Physics ,Vol. 40, No. 12, 1999, 6701-6706

16. (with M. M. Rezaii) Complex supermanifolds with boundary and their parametrization; Algebras, Groups and Geometries , No.2, 1999

## Seminars/Conferences

• 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)

## Research Project

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

• Complete \nu- manifolds and integrable \Pi- symmetries, March 2012 to March 2013, 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

## Talks

• 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

• 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

## Teaching Experience

• 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

• 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

## Supervised Thesis

M.Sc

1. Cyclic Cohomology of Noncmmutative Tori, M.Sc Thesis, IASBS, July 2000

2. Geodesic Deformations of Riemannian Manifolds, M.Sc Thesis , IASBS , February 2002

3. Quantum Supergroups and Tpological Invariants of Knots, M. Sc Thesis, IASBS, March 2007

4. Chern Classes for Super Vector Bundles, M. Sc Thesis, IASBS , September 2007

5. Clifford Bundles and Getzler Calculus, M. Sc Thesis, IASBS, March 2008

6. Continued Fractions, Discrete Groups and Complex Dynamics, M. Sc Thesis, IASBS, October 2008

7. Spectral Graph Theory, M. Sc Thesis, IASBS, December 2008

8. Hamilton's Ricci Flow, M. Sc Thesis, IASBS, January 2010

9. The Poincare - Bendixson Theorem on the Klein Bottle for Continuous Vector Fields, M. Sc Thesis, IASBS, January 2010

10. Spin Structures on Manifolds, M. Sc Thesis, IASBS, February 2010

11. Riemannian Geometry of Orbifolds, M. Sc Thesis, IASBS, December 2010

12. (with Dr M. Nasiri) The Nash- Moser Theorem and its Applications, M. Sc Thesis, January 2011

13. An Introduction to Lorentz Spinors Theory, M. Sc Thesis, January 2012

14. A Generalization of Lusternik - Schnirelman Theory, M. Sc Thesis, January 2012

15. Equivariant K- Theory, M. Sc Thesis, April 2012

16. Kahlerian Manifolds with Constant Bisectional Curvature, September 2012

17. Generalization of Differential Geometry over General Base Rings, October 2012

18. Differential Calculus Over Rings, March 2013

19. \nu- Projective Spaces, March 2014

20. (with Dr J. Taghizade) Einstein's Field Equations, March 2014

21. 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

## Other Activities

• 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