The Erdős and Falconer distance conjectures: connections and applications

发布时间:2025-06-03

作者:

主讲人:Thang Pham

时间:2025.06.03下午15:30

地点:网络与安全创新研究大楼A1236室

摘要:In this talk, I present recent results on the Erdős and Falconer distance conjectures, highlighting the interplay between these two problems. I also discuss applications to intersection patterns, in particular addressing the prime‐field version of a question posed by Pertti Mattila. These results are based on joint work with Murphy, Petridis, Rudnev, and Steven (2022) and with Yoo (2023).

嘉宾简介:Thang Pham is a Professor at Vietnam National University, Hanoi. His primary research interests lie in discrete geometry, additive combinatorics, and geometric measure theory. He has made significant contributions to major open problems such as the Kakeya conjecture, the Erdős–Falconer distance conjecture, and related topics.

Professor Pham has published 61 papers in prestigious journals, including Combinatorica, International Mathematics Research Notices (IMRN), Journal of the London Mathematical Society (JLMS), and Mathematische Zeitschrift.

In recognition of his outstanding research, he has received several honors and awards, most notably the Scientific Prize of the Institute of Mathematics, Vietnam Academy of Science and Technology — the highest distinction awarded to mathematicians under the age of 40 in Vietnam.

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