For full functionality of this site it is necessary to enable JavaScript. Here are the instructions how to enable JavaScript in your web browser. Course NotesAcademics, Research Centers, & Initiatives »Doctoral Programs »Mathematics »Course Notes Prof. Abhijit Champanekar: Topology I Prof. Joel David Hamkins: Mathematical Logic Prof. Jeremy Khan: Teichmuller Theory and Dynamical Systems Prof. Olga Kharlampovich: Group Theory Prof. Ilya Kofman: Knot Theory Prof. Joseph Malkevitch: Geometry; Game Theory (and Fairness); Mathematical Modeling Prof. Alexey Ovchinnikov: Differential Algreba Prof. Yunping Jiang: Dynamical Systems