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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.
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On mathematical arguments against Quantum computing
I wrote a paper "Why do we live in a quantum world" that assumes that "Quantum mechanics is just an approximation to some deeper theory", which is number 8 in Scott Aaronson's list of eleven objection …