Pham Tiep, a professor at Rutgers University, has made significant advancements by solving two long-standing problems in the representation theory of finite groups, which could enhance our understanding of symmetries and random processes in various scientific fields.
Height Zero Conjecture: Tiep solved the 1955 Height Zero Conjecture posed by Richard Brauer. This proof is published in the Annals of Mathematics and is considered one of the most significant challenges in the representation theory of finite groups.
Deligne-Lusztig Theory: In a second achievement, Tiep addressed a difficult problem in the Deligne-Lusztig theory, a foundational area in the representation theory of finite groups. This breakthrough is detailed in two papers published in Inventiones mathematicae and Annals of Mathematics.
Height Zero Conjecture: Tiep solved the 1955 Height Zero Conjecture posed by Richard Brauer. This proof is published in the Annals of Mathematics and is considered one of the most significant challenges in the representation theory of finite groups.
Deligne-Lusztig Theory: In a second achievement, Tiep addressed a difficult problem in the Deligne-Lusztig theory, a foundational area in the representation theory of finite groups. This breakthrough is detailed in two papers published in Inventiones mathematicae and Annals of Mathematics.
