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**If you were to establish a curriculum for a Probability PhD program, what courses would you include as a prerequisite to doing research?**

So far, I have: analysis, complex analysis, functional analysis, stochastic analysis, measure theory, and partial differential equations.

This presupposes entry-level calculus, probability and statistics, and linear algebra.

**If your potential research topics included Bayesian computation (MCMC) or inverse theory (geophysics), what additional mathematics courses would you include?**