Hello! I am currently a postdoctoral researcher at the Kurt Gödel Research Center for Mathematical Logic in the Mathematics Department of the University of Vienna where I am working with Vera Fischer and supported by her START prize grant. My main research interests lies in set theory, particularly iterated forcing, cardinal characteristics, and infinite combinatorics. I am also very interested in model theory, especially model theory of arithmetic and its connections to finite combinatorics. On this page you’ll find information about my research.

In September 2020 I finished my PhD at the CUNY Graduate Center where I was under the joint supervision of Professors Gunter Fuchs and Joel David Hamkins. I am not currently teaching but I did a lot of that at CUNY previously.

Here is an out of date copy of my cv.

Hi Corey, I saw on “This Week in Logic” your mention of at concrete true but unprovable (in PA) Pi^0_1 sentence. I would be very interested in this in connection with a talk I’ll be giving in January at the JMM meetings. I’d be grateful for information. -Martin

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Dear Martin,

Thank you for your interest in my talk. The bulk of my talk concerns the paper “On Logical Sentences in PA” by Saharon Shelah from the volume Logic Colloquium ’82. Any contribution of mine is essentially cosmetic, however the paper is not very detail heavy and I have tried to work out the specifics etc. The true \Pi^0_1 sentence is essentially a particularly uniform version of the finite axiom of choice for sequences of finite structures. I am currently in the process of typing up the details and would be more than happy to send you a copy as soon as it’s completed (hopefully in the next two weeks). If you would like, feel free to send me an email at cswitzer[at]gradcenter[dot]cuny[dot]edu so I know where to send the notes.

Best,

Corey

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