Omer Ben-Neria, University of California, Los Angeles, and Martino Lupini, California Institute of Technology
Ben-Neria received his Ph.D. in 2015 from Tel Aviv University under the supervision of Moti Gitik. In his thesis, The Possible Structure of the Mitchell Order, he proved the remarkable result that, under suitable large cardinal assumptions on the cardinal K, every well-founded partial order of cardinality K can be realized as the Mitchell order of K in some forcing extension. The Prizes and Awards Committee noted that the proof is a tour de force combination of sophisticated forcing techniques with the methods of inner model theory.
Lupini received his Ph.D. in 2015 from York University, Toronto under the supervision of Ilijas Farah. His thesis, Operator Algebras and Abstract Classification, includes a beautiful result establishing a fundamental dichotomy in the classification problem for the automorphisms of a separable unital C*-algebra up to unitary equivalence, as well as a proof that the Gurarij operator space is unique, homogeneous, and universal among separable 1-exact operator spaces. The Prizes and Awards Committee noted that his thesis exhibits a high level of originality, as well as technical sophistication, in a broad spectrum of areas of logic and operator algebras.