Research Bio
Antonio Montalbán researches foundational aspects of mathematics through computability theory and mathematical logic. He is best known for contributions to understanding the complexity of mathematical objects, structures, and proofs, including work on computable structure theory and reverse mathematics of determinacy in second-order arithmetic.
His research elucidates how complexity arises in countable mathematical constructs and has influenced logic through deep theorems and foundational clarity. He is recognized as a Packard Fellow and serves as an Associate Professor of Mathematics.
He is Professor of Mathematics at UC Berkeley. His expertise spans computability theory, mathematical logic, and complexity of mathematical structures.
Research Expertise and Interest
mathematical logic
Teaching
Individual Research [MATH 295]
Individual Study for Doctoral Students [MATH 602]
Mathematical Logic [MATH 125A]
Analytic Geometry and Calculus [MATH 16B]
Seminars [MATH 290]
Individual Research [MATH 295]
Reading Course for Graduate Students [MATH 299]
Supplementary Work in Lower Division Mathematics [MATH 49]
Individual Study for Doctoral Students [MATH 602]
Individual Research [MATH 295]
Individual Study for Doctoral Students [MATH 602]