To keep this separate of finance, as these are both very wide domains. Not picking one would derail my efforts into a very wide plain, and not yeild much reward.

Basics of math, which are introduced to freshers ig

Real Analysis Measure Theory

• limits
• convergence
• generalized integration
• measurable functions

Applied probablity

• stochastic processes
• state functions
• martingale
• markov chains
• brownian motion

Stochastic calculus

• Ito’s lemma
• stochastic differential equations

Applied Math

• Linear programming
• Quadratic programming
• Conic transformations
• 2nd order cone problems
• Mixed integer programming

Multivariate statistics

Markov Chain Monte Carlo algorithm