In order to start my research career, I plan to study several basic mathematical textbooks and courses.
2020 Plan
- MIT 18.02 Calculus, http://math.mit.edu/~jorloff/suppnotes/suppnotes02/
- MIT 18.03 Differential Equations, https://math.mit.edu/~dyatlov/18.03/
- Elias M. Stein, Fourier Analysis
- Elias M. Stein, Complex Analysis
- Morris L. Marx, An Introduction to Mathematical Statistics and Its Applications
- Bubeck, Convex Optimization: Algorithms and Complexity
- Alexander Paulin, Introduction to Abstract Algebra, https://math.berkeley.edu/~apaulin/113(Summer2018).html
- Roger A. Horn, Charles R. Johnson, Matrix analysis
2021 Plan
- Andrew Pressley, Elememtary Differential Geometry
- John B. Conway, A Course in Functional Analysis
- Bottou, Optimization Methods for Large-Scale Machine Learning
- John G. Ratcliffe, Foundations of Hyperbolic Manifolds, GTM 149
2022 Plan
- James E. Humphreys, Introduction to Lie Algebras and Representation Theory, GTM 9