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Andrew Marks

Mathematical Logic

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Andrew Marks is a Professor in the Department of Mathematics at the University of California, Berkeley. His research focuses on Mathematical Logic, specifically Descriptive set theory and its connections with computability, combinatorics, ergodic theory, and operator algebras. Marks was appointed to his current position in 2023. He is affiliated with the Group in Logic and the Methodology of Science. His work includes supervision of dissertations, such as 'Recursion Theory and Countable Borel Equivalence Relations,' co-authored with Theodore A. Slaman. His contact information is available at marks@math.berkeley.edu, and his profile page can be accessed at https://math.berkeley.edu/people/faculty/andrew-marks.


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Scholar-generated biography

Andrew Marks is a mathematician at UC Berkeley specializing in descriptive set theory. His research focuses on the intersection of set theory, topology, and combinatorics, particularly in the context of Borel and measurable structures. Marks investigates topics such as Borel asymptotic dimension, hyperfinite equivalence relations, and Baire measurable paradoxical decompositions. His work often explores the interplay between measure theory, group actions, and combinatorial properties of graphs. He has contributed to the understanding of descriptive graph combinatorics, including results on Borel circle squaring and measurable realizations of abstract systems of congruences. His research also touches on recursion theory, countable Borel equivalence relations, and the universality of polynomial time Turing equivalence.

Source: google_scholar · 109 words
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