Teaching Experience

As a Preceptor

To develop a mathematical curriculum for graduate students in social sciences to satisfy their ever-growing needs in methematical methods and modelling, as coming up in the study of various social phenomena, in disciplines as diverse as public health, psychology, education, government, social policy making, etc. Other responsibilities include mentoring graduate students in their mathematical projects and theses, as well as organizing workshops on various topics of interest, such as dynamical systems, game theory, network theory, optimization, etc.

Supervised

2. Amin Gholampour, Symplectic Thom Conjecture, a review of the work of Szabó and Ozsváth (in Persian), M.S. thesis, Sharif University, July 2002.
1. Seyyed Mohsen Khalkhali, Finslerian Geometry as a Generalization of Riemannian Geometry (in Persian), M.S. thesis, Sharif University, Oct. 2001.

Taught

• Introduction to Seiberg-Witten theory (graduate), Harvard University, Fall 2007.
  Principal bundles and connections, gauge transformations, Seiberg-Witten equations and moduli space, local and global structure of the moduli space, the invariants, some examples (from complex geometry)
• Topics in Seiberg-Witten theory (graduate), Harvard University, Spring 2008.
• Topics in the theory of Manifolds (graduate), Sharif University, Fall 2001, Spring 2002.
  
• Geometry of Manifolds II (graduate), Sharif University, Spring 2001.

• Pre-Calculus, Harvard University, Summer 2007.
• College Algebra and Trigonometry, Columbia University, 1998-99, 1999-2000, Summers 1998 and 1997.
  Functions and their graphs, basic algebraic manipulations and graph transformations, trigonometric functions
• Matrices and Computers , Stevens Institute of Technology, Summer 1998.
• Calculus II , Columbia University, Summer 1996.
• Calculus for Business and Economics, Northeastern University, Fall 2007.
• Elementary Differential Topology, Sharif University of Technology, Spring 1994.
  Differentiable manifolds and maps, Sard's theorem, degree of a map and index of a vector field, Hopf theorem, Thom cobordism and cohomotopy
• Introduction to Modern Analysis I, Columbia University, Summers 1999 and 2000; Sharif University, Spring 2001.
• Introduction to Modern Analysis II, Columbia University, Summers 1999 and 2000.

Assisted

• Leading several individual studies in local and global differential geometry, multi-variable calculus, topology and differential topology, Sharif University, 2000-02.
• Leading sections of Calculus IIS mathematica recitations , Columbia University, 1998-99, Falls 1998 and 1997.
• Leading sections of Calculus IS mathematica recitations , Columbia University, fall 1996.
• Leading a recitation section for a 1-year-long honors course in mathematical analysis (differential and integral calculus), Sharif University of Technology, 1992-93.
• Assisting and tutoring Calculus I-IV, Basic Topology, Honors Math, Modern Algebra and Modern Analysis, Columbia University, 1994-2000.

N.B. Some links might be dead.