Notes/Resources

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)