Course Notes

I keep notes on many courses and seminars I have been a part of. There are sure to be some errors, both cosmetic and mathematical, so if you find any, please contact me at ajkobin (at) emory (dot) edu. Comments and questions are also welcome!

• Abelian Varieties (in progress)

• Abstract Algebra (Wake Forest, Fall 13 - Spring 14)

• Algebraic Geometry of Curves (Virginia, Fall 16)

• Algebraic Number Theory (Virginia, Spring 16)

• Algebraic Stacks (Virginia, Spring 17 - Spring 20)

• Algebraic Topology (Virginia, Spring - Fall 16)

• Analysis of Banach Spaces (Wake Forest, Spring 14)

• Analytic Number Theory (Wake Forest, Fall 13)

• Arithmetic Fundamental Group (Virginia, Spring 17)

• Class Field Theory (Wake Forest, Fall 13 - Spring 15)

• Commutative Algebra (Virginia, Spring 16/19)

• Complex Analysis (Wake Forest, Fall 10)

• Complex Surfaces (in progress)

• Derived Categories (in progress)

• Differential Geometry (Wake Forest, Spring 15)

• Differential Topology (Virginia, Fall 15)

• Elementary Number Theory (Wake Forest, Spring 13 / Emory, Fall 22 & 23)

• Étale Cohomology (in progress)

• Étale Theory (Virginia, Fall 18 - Spring 19)

• Fibre Bundles (Virginia, Spring 17/18)

• Galois Cohomology (in progress)

• General Topology (Wake Forest, Fall 13 - Spring 14)

• Generalized Jacobians (Virginia, Fall 16 - Spring 17)

• Homological Algebra (Wake Forest, Fall 14 / Virginia, Spring 17)

• Homotopy Theory (Virginia, Fall 17)

• Hyperbolic Geometry (in progress)

• L-Functions and Modular Forms (Virginia, Fall 17 - Spring 18)

• Lie Groups (Virginia, Fall 15 / Spring 18)

• Linear Algebra I (in progress)

• Linear Algebra II (Wake Forest, Fall 14)

• Measure Theory (Virginia, Spring 16)

• Modular Forms (Virginia, Fall 19)

• Noncommutative Algebra (Virginia, Fall 15)

• Numerical Methods (Wake Forest, Fall 14)

• Probabilistic Measure Theory (Wake Forest, Spring 15)

• Real Analysis (Wake Forest, Fall 12)

• Representation Theory (Wake Forest, Fall 14)

• Sheaf Cohomology (Virginia, Fall 18)

• Short Course on Schemes (Virginia, Summer 17)

Although my philosophy is that 'all math is connected', I have grouped many of the above notes by area for ease of cross-referencing. These larger files are available below. 

• Algebra

• Algebraic Geometry

• Analysis

• Number Theory

• Topology

Thanks to Matt Feller, George Seelinger, Richard Vradenburgh and many others for noticing errors!