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MIT OpenCourseWare
Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds.
MIT OpenCourseWare
This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also analyzes the relations between complex algebraic varieties and complex analytic varieties.
MIT OpenCourseWare
The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli space…
MIT OpenCourseWare
In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman’s classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.
MIT OpenCourseWare
This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry.
École polytechnique fédérale de Lausanne
A trans-disciplinary approach in structural design and digital architecture of timber structures with advanced manufacturing workflow.
The University of Texas at Austin
Strengthen your critical thinking skills in this inquiry-based Pre-calculus course.
MIT OpenCourseWare
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
Amazon Web Services
Get hands-on with AWS and build a solution that addresses a common data, operations, and architecture scenario.
MIT OpenCourseWare
Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will r…
MIT OpenCourseWare
This is the second part of the two-course series on algebraic topology. Topics include basic homotopy theory, obstruction theory, classifying spaces, spectral sequences, characteristic classes, and Steenrod operations.
MIT OpenCourseWare
The goal of this course is to describe some of the tools which enter into the proof of Sullivan’s conjecture.
Johns Hopkins University
This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning…
MIT OpenCourseWare
This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based…
MIT OpenCourseWare
This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced alon…
IBM
Build the job-ready IT and non-technical IT skills in just six weeks. Plus, gain practical experience you can discuss in the interviews. No prior IT experience is required.
