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Spring 2026
Time: M/W/F, 11:15 am - 12:05 am, EST
Location: Martin Hall M-103/104 and on Zoom (link provided upon request)Â
Past seminars can be found here: Seminar Archive
Organizers: Quyuan Lin (quyuanl@clemson.edu) and Cody Stockdale (cbstock@clemson.edu)
Upcoming Seminar Schedule: (Click the event below to see the title and abstract)
September 4, Haonan Zhang (University of South Carolina), Location: Martin M-104
Title: Bohnenblust--Hille inequalities: old and new
Abstract: A recent breakthrough in learning low-degree Boolean functions by Eskenazis and Ivanisvili employs a family of dimension-free polynomial inequalities named after Bohnenblust and Hille, originating from Littlewood's 1930 work. In this talk, I will review some recent progress that extends these results from discrete hypercubes to qubit systems. Further extensions to more general discrete quantum systems require new Fourier analysis inequalities on cyclic groups. Along the way, dimension-free discretization inequalities were obtained as unexpected byproducts. This is based on joint work with Lars Becker, Ohad Klein, Alexander Volberg and Joseph Slote.
September 11, Cody Stockdale (Clemson University), Location: Martin M-103
Title: A dimension-free weak-type (1,1) bound for the vector Riesz transform on R^n
Abstract: We show that the best constant in the weak-type (1,1) bound for the vector Riesz transform on R^n is at most 2, independent of the dimension n. The proof relies on a new decomposition of the input data involving an obstacle problem for the fractional Laplacian and an associated Lewy-Stampacchia type estimate on an unbounded domain. This settles a problem posed by E. M. Stein at the 1986 International Congress of Mathematicians.
September 21, Durvudkhan Suragan (Nazarbayev University), Location TBA
Title: TBA
Abstract: TBA
October 7, Sobczyk Lecture (TBA), Location TBA
Title: TBA
Abstract: TBA
October 16, Brandon Sweeting (Washington University in St. Louis), Location: Martin M-104
Title: TBA
Abstract: TBA
November 18, Anusrika Datta (University of Tennessee), Location: Martin M-103
Title: TBA
Abstract: TBA
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