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Rizwan Jahangir

A Lifelong Learner in Mathematics

Rizwan Jahangir

A Lifelong Learner in Mathematics

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GR 555E Scientific and Technical Communication

rizwanJanuary 26, 2020May 5, 2022

This course aims to enhance the academic communication skills of graduate students with the long term goal of facilitating research output. To this aim, the rhetorical genres characteristic of scientific/technical writing will be discussed: a review of literature, thesis, article…

Continue reading ➞ GR 555E Scientific and Technical Communication
Courses

Math 542 Algebraic Curves

rizwanJanuary 26, 2020May 5, 2022

Plane curves, affine and projective varieties, intersection of curves, Bezout’s theorem, analysis of singularities, Riemann Roch theorem.

Continue reading ➞ Math 542 Algebraic Curves
Courses

Math 58000 Commutative Algebra

rizwanJanuary 26, 2020May 5, 2022
Continue reading ➞ Math 58000 Commutative Algebra
Courses

Math 551 Graduate Seminar-I

rizwanMay 26, 2019May 5, 2022

Upcoming lectures Past lectures Thu 25 Apr 2019 Giorgos Kapetanakis: The line and the translate problems for r-primitive elements (FENS G035, 13:40) Thu 18 Apr 2019 Ezgi Kantarcı: A Queer Crystal Structure on Shifted Tableaux (FENS G035, 13:40) Thu 11…

Continue reading ➞ Math 551 Graduate Seminar-I
Courses

GR 502E Academic Practices & Development-II

rizwanMay 26, 2019May 5, 2022

This course is a follow-up to GR 501E and aims to provide further opportunities for graduate students to develop their skills in teaching and learning in higher education. This course will enable graduate students to reflect on their first semester…

Continue reading ➞ GR 502E Academic Practices & Development-II
Courses

Math 102 Calculus-II

rizwanMay 26, 2019May 5, 2022
Continue reading ➞ Math 102 Calculus-II
Courses

Math 58002 An Introduction to Homological Algebra

rizwanMay 26, 2019May 5, 2022

1) Categories and functors 2) Modules 3) Tensor products of modules 4) Projective, Injective, Flat modules 5) Localization 6) Homology 7) Tor and Ext 8) Homology and rings

Continue reading ➞ Math 58002 An Introduction to Homological Algebra
Courses

Math 512 Algebra-II

rizwanMay 26, 2019May 5, 2022

Modules. Fields, extension fields, Galois theory. Categories and functors.

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Courses

Math 502 Analysis-II

rizwanMay 26, 2019May 5, 2022

Metric spaces and general topological spaces. Connectedness, compactness, completeness and consequences. Baire category theorem. Linear topological spaces. Open mapping, closed graph theorems. Hahn Banach theorem. Hilbert and Banach spaces.

Continue reading ➞ Math 502 Analysis-II
Courses

Math 541 Introduction to Algebraic Geometry

rizwanSeptember 26, 2018May 5, 2022

Algebraic varieties, affine and projective varieties, dimensions of varieties, singular points, divisors, differentials, intersections. Schemes, cohomology, curves and surfaces, varieties over the complex numbers.

Continue reading ➞ Math 541 Introduction to Algebraic Geometry

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