Tentative Topics

P v NP

SAT is NP-complete

Ladner's Theorem

Mahaney's Theorem

Alternation and PSPACE

Polynomial-Time Hierarchy

P/poly, Karp-Lipton

Circuit Complexity

Razborov-Smolensky

Razborov Montone Clique

Time-Space Tradeoffs for SAT

Randomness:
RP, co-RP, BPP, ZPP

AIT in co-RP

BPP in PH

MA, AM, GNI in AM

Public coin for GNI with lower bound lemma

Counting Complexity

Permanent

Toda's theorem

IP = PSPACE

PCP theorem

Quantum Computing