معرفی
Xiumin Du is an Assistant Professor of Mathematics at Northwestern University. His research focuses on harmonic analysis, geometric measure theory, and partial differential equations (PDEs), with a particular emphasis on Fourier restriction/extension problems, decoupling theory, and applications to geometric measure theory such as the Falconer distance set problem. He has contributed to improving bounds for fractal measures and Schrödinger maximal functions across dimensions.
His work often intersects with geometric analysis, combining techniques from harmonic analysis and PDEs to address problems in fractal geometry. Notable contributions include advancements in weighted Fourier restriction estimates, refined decoupling inequalities, and solutions to multiparameter distance set problems. His research has been published in top-tier journals like the Annals of Mathematics and the Transactions of the American Mathematical Society.
No specific awards or grants are explicitly mentioned in the provided text, though his extensive publication record indicates active research involvement. He advises no listed graduate students but collaborates frequently with researchers such as Yumeng Ou, Hong Wang, and Ruixiang Zhang. His office is located in Lunt Hall 220 at Northwestern University.
