Cardinal invariants, special sets of real numbers, and partition calculus
I will summarize some of my work on three connected topics in set theory. The work on cardinal invariants covers both countable and uncountable cardinals, and it includes both ZFC theorems and consistency results. The work on special subsets of real numbers concentrates on techniques for constructing ultrafilters and almost disjoint families. The work on partition calculus includes results in both structural Ramsey theory and partition relations at uncountable ordinals. I will provide the necessary background to understand these results.
