Pham Huu Tiep

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).^{[citation needed]}

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 on the representation of a finite non-abelian simple group ${\displaystyle G}$ as the square of one of its conjugacy classes ${\displaystyle C}$.

• 2018: "Character bounds for finite groups of Lie type", Acta Math. 221 (2018), 1 - 57 (with Roman Bezrukavnikov, Martin Liebeck, and Aner Shalev)
• 2016: "The alpha-invariant and Thompson's conjecture", Forum Math. Pi 4 (2016), e5, 28 pages
• 2013: "Characters of relative p'-degree over normal subgroups", Ann. of Math. 178 (2013), 1135 - 1171 (with Gabriel Navarro)
• 2011: "Waring problem for finite simple groups", Ann. of Math. 174 (2011), 1885 - 1950 (with Michael Larsen and Aner Shalev)
• 2011: "A reduction theorem for the Alperin weight conjecture", Invent. Math. 184 (2011), 529 - 565 (with Gabriel Navarro)
• 2010: "The Ore conjecture", Journal of the European Mathematical Society (with Martin Liebeck, EA O'Brien, Aner Shalev)
• 2008: "Symmetric powers and a problem of Kollar and Larsen", Invent. Math. 174 (2008), 505 - 554 (with Robert M. Guralnick)

• Pham Tiep's Rutgers Web page
• Pham Huu Tiep page at Clay Institute

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