Conference: Harmonic and Complex Analysis: Modern and Classical

该奖项支持美国参加将于2023年6月18日至22日在以色列巴伊兰大学举行的“调和与复杂分析：现代与古典”会议。这次会议是由来自巴伊兰大学、霍伦理工学院、ORT Braude学院、特拉维夫大学和南佛罗里达大学的研究人员联合组织的。在会议上的演讲范围从全体讲座到更专门的演讲，这些演讲以高级研究生和年轻研究人员可以访问的形式描述了复杂和调和分析方面的最新突破成果，也包括关于重点研究主题的更专门的演讲。该奖项支持来自美国机构的早期职业研究人员和研究生的旅行。参加这次国际会议的初级研究人员将通过促进美国研究人员与全球同行之间的新合作和研究想法的交流，使美国研究界受益。会议的重点是一系列目前在数学和物理之间出现的新兴主题。全体演讲者的研究领域包括(1)椭圆算子本征模的局部化，它将几何测量理论和调和分析的深刻结果与量子物理、降噪墙、LED和光学器件的现代应用相结合；(2)调和分析及其在医学成像中的应用；(3)随机代数几何和引力透镜；(4)经典调和分析及其在概率论中的应用；以及(5)经典复变分析和函数论，以新的思路解决数学物理中的著名问题，如Hele-Shaw流动、拉普拉斯增长和库仑气体的研究。欲了解更多信息，请访问https://hca2023.math.biu.ac.il。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的学术价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award supports U.S. participation in the conference “Harmonic and Complex Analysis: Modern and Classical” to be held June 18-22, 2023 at Bar Ilan University, Israel. The conference is jointly organized by researchers from Bar-Ilan University, Holon Institute of Technology, ORT Braude College, Tel Aviv University, and the University of South Florida. Presentations at the conference range from plenary lectures describing recent breakthrough results in complex and harmonic analysis in a form accessible to advanced graduate students and young researchers, to more specialized talks on focused research topics. The award supports the travel of early-career researchers and graduate students from U.S. institutions. Participation of beginning researchers in this international conference will benefit the U.S. research community by fostering new collaborations and the exchange of research ideas between U.S.-based researchers working in harmonic and complex analysis and their counterparts across the globe.The conference focuses on a suite of currently emerging themes at the borderline between mathematics and physics. Areas of research of the plenary speakers include (1) localization of eigenmodes of elliptic operators, which unites deep results in geometric measure theory and harmonic analysis with modern applications to quantum physics, noise abatement walls, LEDs, and optical devices; (2) harmonic analysis with applications to medical imaging; (3) stochastic algebraic geometry and gravitational lensing; (4) classical harmonic analysis with applications to probability theory; and (5) classical complex analysis and function theory, with new lines of attack on well-known problems in mathematical physics, such as Hele-Shaw flows, Laplacian growth, and the study of Coulomb gases. Further information can be found at https://hca2023.math.biu.ac.il .This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.