Shehzad Ahmed – Coanalytic determinacy and sharps

January 12, 2015

Shehzad is my most recent student, having completed his M.S. thesis on May last year. He is currently pursuing his PhD at Ohio University. His page is here, and he also keeps a blog.

Shehzad

His thesis, $\mathbf \Pi^1_1$-determinacy and sharps, is a survey of the Harrington-Martin theorem, showing the equivalence between a definable fragment of determinacy, and a large cardinal hypothesis.

After the fold, I review the basic notions, and give the tiniest of hints of what the theorem is and how its proof goes. Since the material is technical, the post is not really self-contained.

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