Modern Algebra
Group Theory, Ring Theory, Module Theory, Field Theory
Open Education Resources
I am passionate about the development of open education resources (OER)s—free, online learning materials not restricted by copyright. OERs reduce financial barriers to learning [1] and have been proposed as an equity strategy for higher education [2].
Mathematics OERs
Note: all of the below are heavily under development, with tweaks and adjustments being made almost daily!
Graduate Algebra
Postmodern Algebra
Homological Algebra, Commutative Algebra, Local Cohomology
Other Graduate Courses
Note: these texts range from partially complete to almost entirely empty. We get there when we get there.
Analysis
The Real Numbers, Sequences and Series, Calculus of the Real Line, Metric Spaces
Topology
Topological Spaces, Invariants, Homotopy, Fundamental Groups, Homology
Discrete Mathematics
Combinations, Codes, and Graphs
Algebraic Geometry
Classical Affine Varieties, Projective Varieties, Blow-Ups, Schemes,
Undergraduate Level Courses
Foundations of Advanced Mathematics
Informal Logic, Proof Structures, Sets, Functions, Relations, Cardinality
Number Theory
Coming (not so) Soon
Linear Algebra
Coming (not so) Soon
[1] Mann, P. (2018). The impact of open educational resources on various student success metrics. The Idealis. Link
[2] Nipa, T. J., & Kermanshachi, S. (2020). Assessment of open educational resources (oer) developed in interactive learning environments. Education and Information Technologies, 25, 2521-2547. Link