“I could be bounded in a nutshell and count myself a king of infinite space.” ― Hamlet
Preface
In July 2020, I entered the realm of advanced Math. However, it wasn’t until I read the book Algebra written by T. Hungerford during the Winter of 2021 that I realized it’s overwhelming. Inspired by Kunihiko Kodaira, I developed my own approach to learning mathematics.
Stochastic Analysis Related : Rough Stochastic Differential Equations, Fokker-Planck Equations, Continuous Time Mathematical Finance, Mean Field Games, Rough Path Analysis and Signature, Malliavin Calculus, Stochastic PDEs, Diffusion Processes, Mathematical Finance, Stochastic Calculus
Mathematical Modeling Related : Computational Finance, Mathematical Foundation of Machine Learning, Numerical Method for ODEs
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 Theory, Applied Stochastic Process
Advanced Analysis Related : Nonlinear PDEs, Manifolds and Riemannian Geometry, Harmonic Analysis, Multidimensional Complex Analysis, PDEs and Sobolev Space, Functional Analysis
Statistics Related : Time Series Analysis, Multivariate Statistics, Linear Model and Regression, Mathematical Statistics
Basic Courses : Real Analysis, Complex Analysis, Differential Manifolds, ODEs, General Topology, Abstract Algebra