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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.

2 votes
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Algorithms for Polynomials Over a Real Algebraic Number Field, a reference

The thesis can be found here.
Carl-Fredrik Nyberg Brodda's user avatar
4 votes

Are there any computational problems in groups that are harder than P?

While most other answers have mentioned computational problems related to finitely presented (but generally infinite) groups, there are many problems in finite group theory which are either conjecture …
Carl-Fredrik Nyberg Brodda's user avatar