Carnegie Mellon University
November 18, 2021

Sacks Prize for Marcos Mazari Armida

Mazari Armida MarcosMarcos won the prestigious Sacks Prize awarded annually by the Association for Symbolic Logic for the most outstanding doctoral dissertation in mathematical logic. He completed his PhD studies in the Spring of 2021 working under supervision of Rami Grossberg.

His thesis Remarks on classification theory for abstract elementary classes with applications to abelian group theory and ring theory provides strong evidence that abstract elementary classes can impact traditional mathematics in interesting ways. Armida shows various natural classes of abelian groups to be AEC and proves a family of theorems characterizing well-known classes of rings (e.g. left Noetherian, left perfect) in terms of the superstability of an associated AEC of modules. This leads to the solution below ℵω of a question of Fuchs asking in which cardinals there is a universal abelian p-group for purity. His versatility is indicated by important work on neo-stablility and categoricity in the context of AEC. Marcos is continuing his work as a Burnett Meyer Postdoctoral Fellow at University of Colorado Boulder.

This is the second time for a student of Rami Grossberg to win the prize; Sebastien Vasey won it in 2017.

Congratulations to Marcos and Rami!

Sacks Prize Recipients