Notes & Code

Semester-long Courses

• F 2015 PSU Math 597C — Applied Algebraic Topology & Geometry Vladimir Itskov · updated 10/1/15
• F 2015 PSU Math 597B — Mathematical Neuroscience Carina Curto · updated 9/22/15
• F 2012 Math 249 — Combinatorial Commutative Algebra Bernd Sturmfels · updated 11/19/12
• F 2012 Math 252 — Representation Theory Mark Haiman · updated 11/19/12
• F 2012 Math 215A — Algebraic Topology Kate Poirier · updated 11/19/12

Programming

• GitHub Code from Matrix Completion for the Independence Model from Kaie Kubjas' GitHub.
• GitHub Code from Computing Algebraic Matroids numerical and symbolic algorithms.

Expository Writing

• Essay Graph Curves written for Bernd Sturmfels' Algebraic Curves course.

Conference Notes · ECCO '12

Bogotá, Colombia · June 11 – 22, 2012. My notes were not edited by the lecturers and may contain errors. Thanks to Alejandro Morales for supplying images and Alyssa Palfreyman for supplementing my notes.

• Lecture Analytic Combinatorics — Hélène Barcelo Notes · Problem Sets: #1, #2, #3, #4
• Lecture The Positive Grassmannian (Positroids) — Alex Postnikov Notes · Problem Sets: #1, #2, #3, #4
• Lecture Combinatorial Hopf Algebras — Nantel Bergeron Notes · Problem Sets: #1, #2, #3, #4
• Lecture Combinatorial Commutative Algebra — Bernd Sturmfels Notes. Problems from Combinatorial Commutative Algebra: 1.5, 1.1, 1.2, 1.3, 1.9; 2.4, 2.1, 2.2, 2.9, 2.12; 3.6, 3.2, 3.3, 3.4, 3.5; 4.5, 4.4, 4.7, 4.11.
• Session Open Problem Session