Topics in Analysis
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This is a notes includes some techniques, theorems, inequalities in analysis.
Notes
Intro to manifolds
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This is a notes mainly concerns with basic manifold language.Thanks for Prof. Wu teaching me this!
Infinite Dimensional Statistics
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These notes are established followed by Nickl’s book Mathematical Foundations of Infinite-Dimensional Statistical Models. I learned this stuff in the first graduate semester, 2023 fall.
Algebraic Topology
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This is a notes mainly focus on fiber bundles, K-theory, characteristic theory, follows the content in the book fiber bundles and homotopy theory by Dai Tamaki.
Abstract Algebra
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This is a notes cotains context about Field theory, Galois theory, Grothendieck’s Galois theory, which can help us familiar with PhD Qualify Exam.