“I could be bounded in a nutshell and count myself a king of infinite space.” ― Hamlet
Preface
In July 2020, I walked into the realm of advanced MATH. However, it wasn’t until I read Topology by Munkres and Algebra by Hungerford during the Winter of 2021 that I realized it’s overwhelming. The concepts and theorems in these books proved to be challenging, prompting me to take inspiration from Kunihiko Kodaira and develop my own approach to learning MATH.
The notes below were made when I was studying at WHU. In addition to them, my courseworks at WHU w.r.t. Math/Stat/CS also contain: Numerical Analysis, C Language, Sampling Survey, Number Theory, Mathematical Logic, R Language and Statistics Computing.
Stochastic Analysis Related : Malliavin Calculus, SPDEs, Diffusion Processes, Mathematical Finance, Stochastic Calculus
Statistical Physics Related : Schramm-Loewner Evolutions, Random Interlacements, Bernoulli Percolation, Conformal Invariance of 2D Lattice Models, Loop Soups and Occupation Time, Gaussian Free Fields
Advanced Probability Related : Random Walks, Advanced Stochastic Process, Large Deviation Theory, Advanced Probability Thoery, Applied Stochastic Process
Advanced Analysis Related : Harmonic Analysis, Multidimensional Complex Analysis, PDEs and Sobolev Space, Functional Analysis
Statistics Related : Multivariate Statistics, Linear Model and Regression, Mathematical Statistics
Basic Courses : Real Analysis, Complex Analysis, Differential Manifolds, ODEs, General Topology, Abstract Algebra