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Keller VandeBogert
Home
Curriculum Vitae
Research
Notes/Resources
Teaching
Other
Keller VandeBogert
Home
Curriculum Vitae
Research
Notes/Resources
Teaching
Other
More
Home
Curriculum Vitae
Research
Notes/Resources
Teaching
Other
Notes/Resources
Disclaimer: I make no guarantees of perfection in the below.
Notes
Notes on Complex Geometry
Notes on the Hodge Decomposition
Notes on Completions
Introductory Notes in Commutative Algebra
Notes on the Category of Correspondences
Notes on Primal Dual Interior Point Method
Notes on Quadratic Interpolaton for Optimization
Notes on Linear Algebraic Groups
Notes on Symplectic Geometry
Notes on Chain Homotopies and Mapping Cones/Cylinders
Notes on Adjoint Functors and Balancing of Ext/Tor
Solutions to Exercises (forever in progress)
Terence Tao's "An Epsilon of Room"
MSRI Macaulay2 Exercises
Serge Lang's "Algebra"
Some Field Theory Exercises
Dyer-Edmunds "From Real to Complex Analysis"
Bruns-Herzog's "Cohen-Macaulay Rings"
University of South Carolina Analysis Qualifying Exams
University of South Carolina Algebra Qualifying Exams
Past Coursework
Advanced Partial Differential Equations (GSU)
Algebraic Geometry (USC)
Algebraic Number Theory (USC)
Algebraic Topology (USC)
Complex Analysis (GSU)
Complex Geometry (USC)
Computational Number Theory (USC)
Differential Manifolds (GSU)
Discrete Math (USC)
Functional Analysis (USC)
Local Methods in Arithmetic/Geometry (USC)
Algebra 1 (USC)
Real Analysis (GSU)
Topology (GSU)
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