Antonio Montalban.

CV.pdf
Publications.
Teaching.
Coronavirus en Uruguay
Column in Uruguay-Ciencia.
Professor of Mathematics.
Evans Hall #3840
Berkeley, CA 94720
USA

antonio@math.berkeley.edu
Math Department Phone: +1 510 642 6550
Office:    719 Evans Hall


I work in Mathematical Logic and, within Logic, I focus on Computability Theory.  In general terms, my research studies the interplay between complexity and mathematics.  We, logicians, have developed techniques to analyze and understand the complexity of many sorts of objects, including sets, structures, constructions, proofs, and so forth.  Computability Theory deals with the complexity measures used on countable objects, in contrast with, for instance, computer science or set theory, which mainly deal with the complexity of finite objects or uncountable objects, respectively.
First Book. Computable Structure Theory. Within the arithmetic (PDF). 2021, Perspectives in Logic Series, Cambridge University Press. Get a printed copy here.

 Second Book. Computable Structure Theory. Beyond the arithmetic (PDF).  2026, Perspectives in Logic Series, Cambridge University Press. Get a printed copy here.

List of Publications.



Teaching:

Youtube playlist for my course Introduction to Set Theory, MATH 135, using Enderton's Set Theory book.

Youtube playlist for my course Introduction to Mathematical Logic, MATH 125A, using Enderton's Mathematical Logic book