Antonio Montalbán is a Professor of Mathematics at the University of California, Berkeley , where he has been affiliated since 2012. His research focuses on Mathematical Logic and Computability Theory , analyzing the interplay between complexity and mathematical structures, particularly in countable objects and Turing degrees. Research areas include Computability Theory , Reverse Mathematics , and Structural Complexity . His publications span topics like Lower Cones of Degrees , Equimorphism Types , and Automorphism Problems . He has supervised PhD students such as James Walsh , James Gardner Moody , Matthew Harrison-Trainor , and Noah Schweber . He contributes to outreach through a column in Uruguay Ciencia , creating math puzzles in Spanish. Montalbán's teaching includes courses on Set Theory and Mathematical Logic , with public YouTube playlists. His work bridges foundational logic, algorithmic complexity, and applications in mathematics.





