Pham Huu Tiep (Vietnamese : Phạm Hữu Tiệp) is a Vietnamese American mathematician specializing in group theory and representation theory. He is currently a Joshua Barlaz Distinguished Professor of Mathematics at Rutgers University.
Pham Tiep graduated from Chu Văn An High School, and received a silver medal at the IMO in London in 1979. [1] He received his Ph.D. at Moscow University in 1988 under supervision of Alexei Kostrikin. [2] He gave an invited talk at the International Congress of Mathematicians in Rio de Janeiro in 2018. He is a Fellow of the American Mathematical Society, a Clay Institute Senior Scholar, and a Simons Fellow.
Pham Tiep was the fifth Vietnamese mathematician invited to speak at the International Congress of Mathematicians, following Frédéric Pham (1970), Duong Hong Phong (1994), Ngô Bảo Châu (2006,2010) and Van H. Vu (2014).
Tiep was a member of the 2010 collaboration which completed the proof of Ore's conjecture.
In a September 2024 paper, Tiep, along with Gunter Malle, Gabriel Navarro and Amanda Schaeffer Fry, proved [3] Brauer's height zero conjecture on the modular representation theory of Brauer blocks and their defect groups.
Also in 2024, [4] Tiep, along with Michael Larsen and others, derived uniform character bounds for various finite classical groups, leading to substantial progress on Thompson's conjecture [5] that each finite non-abelian simple group for some conjugacy class .
In mathematics, more specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no non-trivial abelian quotients. In symbols, a perfect group is one such that G(1) = G, or equivalently one such that Gab = {1}.
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