Here are some mathematical ramblings I just decided to throw up here. I have posted them here so I have an actual repository, and if by some miracle someone finds them (useful).

• Some interesting problems and their solutions. Those who wrote the problems are credited in the file.
• Live-teXed topology notes from Prof. Ciprian Manolescu on 4-manifolds
• 4-manifold problems
• Final report on Ballinger's concordance invariant
• Dijkgraaf-Witten topological quantum field theory with applications to condensed matter
• Algebraic topology problems
• Surgery theory and lagrangian immersions
• Symplectic geometry and topology problems
• Differential geometry problems, plus quick reference notes
• Differential topology problems
• Topological quantum computation
• Quantum many-body dynamics notes, live-teXed from a course taught by Prof. Vedika Khemani
• Quantum chaos in AdS black holes (basically an explicit AdS/CFT calculation)
• Quantum groups, live-teXed from a course taught by Prof. Daniel Bump
• Unfinished mirror symmetry notes taken during the DRP, advised by Libby Taylor, before coronavirus caused an abrupt stop. I intend to finish these.
• Semi-rigorous quantum field theory notes from a course taught by Prof. Sourav Chatterjee
• Quantum field theory problems
• Analytic number theory problems. Done because analytic number theory scares me. I consider this eating my mathematical vegetables.
• My favorite algorithms
• Physics?



Here is an appendix.