Notes
 Here is a collection of notes I took in various courses and other expository works I have written. They are somewhat organized by topic. Of course, I am prone to making mistakes. If you have any questions, or find any errors (even as small as a typo), please shoot me an email!
Physics Courses at UofM:
Electricity and Magnetism II: Physics 506 Notes
Introduction to Solid State Physics: Physics 463 Notes
Quantum Field Theory II: Physics 523 Notes
Math Courses at UofM:
Differential Geometry: Math 635 Notes
Algebraic Geometry
Algebraic Geometry I: Math 631 Notes
Algebraic Geometry II: Math 632 Notes
Algebraic Topology: Math 695 Notes
Honors Thesis: In my senior year at UT Austin, I wrote an honors thesis on Mott and charge-transfer insulators in transition metal dichalcogenide (TMD) homobilayers. We identified a phase transition between the Mott insulator and charge-transfer insulator after fixing the twist angle of the two layers of TMD.