Previous Positions
(1997-1998): Lecturer, Princeton University.
(1998-2015): Assistant Professor in Dept. of Mathematical Sciences in Sharif University of Technology.
(1998-2000): Research Fellow, Institute for Studies in Theoretical Physics and Mathematics (IPM).
(2000-2002): Chairman of the Board of Mathematics Education, Ministry of Education, Iran.
(2003-2004): Visiting Mathematician, Tata Institute of Fundamental Research, India and Institut des Hautes Etudes Scientifiques, France.
(2003-2006, 2009-2014): Leader of Iranian National Mathematics Olympiad team.
(2007-2008): Leader of Sharif University Undergraduate Mathematics Olympiad team.
(2014-2016): Visiting faculty of Princeton University
(2016-2018): Member in school of mathematics, Institute for Advanced Study.
(2018-2019): Visiting faculty of Princeton University
Professional memberships
(1999-2003): Member of the board of mathematics education in Ministry of Education in Iran.
(2002- ): Member of Iranian national mathematics Olympiad committee.
(2011-2014): Member of Iranian national committee of “Shahab” (Recognition and leadership of gifted and talented students) in Ministry of Education.
(2011-2014): Member of Iranian national committee of “Scientific Friend” National Foundation for Elite.
Awards and scholarships:
(June 1989): Bronze medal of the national physics Olympiad.
(June 1990): Silver medal of the international mathematical Olympiad held in China.
(June 1992): Third rank in the mathematics competition held by the Iranian academy of sciences.
(June 1993): Forth rank in the Iranian annual mathematical competition.
(1990-1993): Undergraduate scholarship from IPM.
(1993-1998): Graduate scholarship from Princeton University, New Jersey, United States.
(1998-2000): Research scholarship from IPM.
(1998- ): Research scholarship from Sharif University of Technology.
(2011-2012): Grant from Iranian National Foundation for Gifted and Talented Scholars.
(2014-2015): Grant from Iranian National Foundation for Gifted and Talented Scholars.
(2014-2015): Sabbatical leave from Sharif University of Technology
(2015-2019): Grant from IPM
(2016-2017): Oswald-Veblen grant from institute for advanced study.
(2017-2018): NSF grant.
Leading National Mathematics Olympiad Teams
- Japan 2003, 44th IMO rank of Iran 17th.
- Greece 2004. 45th IMO rank of Iran 9th.
- Mexico 2005, 46th IMO rank of Iran 4th.
- Slovenia 2006, 47th IMO rank of Iran 8th.
- Germany 2009, 50th IMO rank of Iran 15th.
- Kazakhstan 2010, 51st IMO rank of Iran 16th.
- Netherlands 2011, 52nd IMO rank of Iran 10th.
- Argentina 2012, 53rd IMO rank of Iran 8th.
- Columbia 2013, 54th IMO rank of Iran 10th.
- South Africa 2014, 55th IMO rank of Iran 21th.
Leading University Mathematics Olympiad Teams
- Bulgaria 2007, 14th IMC rank of Iran/Sharif University 3rd.
- Bulgaria 2008, 15th IMC rank of Iran/Sharif University 3rd.
Teaching experience:
Elementary undergraduate courses: “Evolution of Mathematical Concepts”,“History of
Mathematics”,“Philosophy of Mathematics”,“Advanced Calculus” and “Multivariable Calculus”,“Linear Algebra”,“Algebra I”.
Advanced undergraduate courses: “Algebraic Number Theory”,“Analytic Number theory” ,“Differential Topology”,“Knot theory and algebraic topology”,“Commutative
Algebra”,“Algebraic Geometry: Scheme theory”,“Algebraic Geometry, a Geometric Point of View”.
Graduate courses in number theory: “Graduate Seminar on Modular Forms”,“Graduate Seminar on Algebraic Number Theory”,“Arakelov Theory”,“Background of Wiles’s Proof of Shimura-TanyamaWeil Conjecture”,“Topics in Number Theory”.
Graduate courses in algebraic geometry: “Arithmetic of Algebraic Curves”,“Non-commutative Algebraic Geometry”,“Geomtry of Schemes”,“Geometric Approach to Algebraic Geometry”.
Graduate courses in geometry, analysis and combinatorics: “Characteristic Classes”,“Atiyah-Singer Index Theorem”,“Complex Analysis”,“Complex Geometry”,“Advanced Combinatorics”.
Institutes visited:
International Center for Theoretical Physics in Trieste/Italy:
Summer 1992 for a period of one month.
Summer 1993 for a period of one month.
Summer 2005 for a period of three months.
January 2006 for a period of one month.
Nankai Institute in Tianjin/China:
Summer 1993 for a period of one week.
Max-Plank Institute in Bonn/Germany:
Summer 1994 for a period of one month.
Newton Institute in Cambridge/United Kingdom:
Summer 1996 for a period of one month.
Institute for advanced studies in Princeton/United States:
Member for two academic years 2016-2018.
Institute for Studies in Theoretical Physics and Mathematics in Tehran/Iran:
Associate researcher 1998-2000.
Tata Institute of Fundamental Research in Bombay/India:
Fall 2003 for a period of three months.
Institut des Hautes Etudes Scientifiques in Bures-sur-Yvette/France:
Winter and Spring 2004 for a period of five months.
Fall 2005 for a period of one month.
Harish-Chandra Research Institute in Allahabad/India:
January 2006 for a period of one week.
Invited lecturer in international conferences
- Invited by Nankai institute in Tianjin to present a lecture on “Calculus on Arithmetic Surfaces” during a workshop on Arithmetic Geometry in 1993, when I was an undergraduate student.
- Invited by department of mathematics of Wisconsin University to present a lecture on my research in geometric group theory in 1994, when I was an undergraduate student..
- Invited to present at 11th International Congress on Mathematics Education (2008) TG6: Activities and Programs for Gifted Students: “Who is a good problem Solver”.
- Invited by National Academy of Sciences of U.S. and World Learning: Mathematics Education Program January 27-January 29, 2014 University of California, Irvine, Beckman Center to speak on “Mathematics Education and Cognitive Types”.
Conference organizations
Organizing a multidisciplinary conference on heart “Voices of Heart” on Heart from different aspects of mathematical and natural and human sciences in “Shiraz University” and gave a lecture in that conference myself.