Elementary undergraduate courses: “Evolution of Mathematical Concepts”,“History of Mathematics”,“Philosophy of Mathematics”,“Advanced Calculus” and “Multivariable Calculus”,“Linear Algebra”,“Algebra I”. 

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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”. 

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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-Tanyama-Weil Conjecture”,“Topics in Number Theory”. 

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Graduate courses in algebraic geometry: “Arithmetic of Algebraic Curves”,“Non-commutative Algebraic Geometry”,“Geomtry of Schemes”,“Geometric Approach to Algebraic Geometry”. 

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Graduate courses in geometry, analysis, physics and combinatorics: “Characteristic Classes”,“Atiyah-Singer Index Theorem”,“Complex Analysis”,“Complex Geometry”,“Advanced Combinatorics”,"Topics in Mathematical Physics", "Algebraic Topological Methods in Quantum Physics", "Categorical Algebraic Topology","Curvature in mathematics and Physics".