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)

Page updated

Google Sites

Report abuse

This site uses cookies from Google to deliver its services and to analyze traffic. Information about your use of this site is shared with Google. By clicking "accept", you agree to its use of cookies. Cookie Policy

Reject