Algebraic varieties, affine and projective varieties, dimensions of varieties, singular points, divisors, differentials, intersections. Schemes, cohomology, curves and surfaces, varieties over the complex numbers.
Month: September 2018
Math 511 Algebra I
Introduction to group theory. Isomorphism theorems. Permutation groups and Cayley’s theorem. Conjugacy classes. Lagrange’s theorem and the Sylow theorems. principle ideal domains. Polynomial ring.
Math 501 Analysis I
Lebesgue measure and integration on the line. Convergence theorems. General measure and integration. Lp spaces. Decomposition of measures. Radon Nikodym theorem. Product measures and Fubini’s theorem.
GR 501 Academic Practices & Development
This course introduces fundamental principles in teaching and learning for graduate students in the event that they choose a career in academia. In addition, this course acculturates students to the practices and culture of Sabanci University. Through a series of…