Universität Bonn

Special Topic School: "Uniformity and Stability of Oscillatory Integrals"


Gruppenfoto_HS Uniformity and Stability.jpg
© HCM

July 8 - 12, 2024

Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Philip Gressman (U. Penn), Dóminique Kemp (UW Madison/IAS/Princeton), Lillian Pierce (Duke University/Bonn Research Chair)

Description: Because of the ubiquity of Fourier analysis, oscillatory integrals are present in many techniques in both harmonic analysis and analytic number theory. Current state-of-the-art methods in both fields are pushing beyond classical methods because of increased importance of understanding the uniformity and stability of the estimates. In addition, researchers are uncovering unifying ideas that span the (traditionally somewhat separated areas) of oscillatory integrals in the setting of analysis, and character sums in number theory. Recent work on estimating oscillatory integrals have even applied model theory, from logic.

This summer school will give participants an introduction on the classical methods for estimating oscillatory integrals and explain current cutting-edge developments. Throughout, the lectures will view these problems through a lens of understanding the uniformity and stability of the estimates.

Lecture series by:

  • Michael Christ, UC Berkeley
  • Philip Gressman, U. Penn
  • Ian Petrow, UCL
  • James Wright, U. Edinburgh
  • Ruixiang Zhang, UC Berkeley

Additional talks by:

  • Polona Durcik, Chapman University
  • Dóminique Kemp, UW Madison/IAS/Princeton
  • Dominique Maldague, MIT
  • Hong Wang, NYU Courant Institute

The University of Bonn and HCM are committed to diversity and equal opportunity. We aim to increase the proportion of women in areas where women are underrepresented and to facilitate their careers. We therefore strongly encourage women with relevant qualifications to apply.

The application deadline has expired.

In case of scientific questions, please contact the organizers at uniformity(at)hcm.uni-bonn.de, in case of questions concerning services and administration, please contact hsm(at)hcm.uni-bonn.de.

 This school will be followed by the one on Maximal Operators and Applications, July 15 - 19, 2024.


Participants

Person
Affiliation
Ankit Bhojak Indian Institute of Science Education and Research Bhopal
Emile Bukieda

Karlsruhe Institute of Technology

Ryan Bushling

University of Washington

Han Cao

University of Southern California

Tiklung Chan

University of California San Diego

Mingfeng Chen

University of Wisconsin Madison

Chuhee Cho

Seoul National University

Rena Chu

Duke University

Valentina Ciccone

University of Bonn

Sam Craig

University of Wisconsin Madison

Himali Dabhi

The University of Edinburgh

Jacob Denson

University of Wisconsin Madison

Yijie Diao

IST Austria

Jiahan Du

UCLA

Daniel Eceizabarrena

University of Massachusetts Amherst

Benjamin Foster

Stanford University

Yannis Galanos

University of Edinburgh

Abhishek Ghosh

Tata Institute of Fundamental Research

John Green

University of Pennsylvania

Anouk Greven

Universität Göttingen

Rafael Hirsch

Karlsruhe Institute of Technology

Yung Chang Hsu

Purdue University

Kaiyi Katherine Huang

University of Wisconsin Madison

Kaiwen Jin

University of Wisconsin Madison

Benjamin Johnsrude

UCLA

Hyerim Ko

Seoul National University

Maciej Kucharski

University of Wrocaw

Tanja Küfner

Georg-August-Universität Göttingen

Zhuolin Li

Max-Planck Institute for Mathematics in the Sciences (MPI MiS)

Fred Lin

University of Bonn

Shao Liu

University of Bonn

Nathan Mehlhop

Louisiana State University

Pablo Merino San José

Basque Center for Applied Mathematics & University of the Basque Country

Yonas Mesfun

Karlsruhe Institute of Technology (KIT)

Javier Minguillón

Universidad Autónoma de Madrid

Yuveshen Mooroogen

University of British Columbia

Fergal Murphy

University College Cork

Arian Nadjimzadah

University of California, Los Angeles

Shohei Nakamura

Osaka University

Gautam Neelakantan Memana

University of Wisconsin Madison

Lars Niedorf

University of Kiel

Sewook Oh

Korea Institute for Advanced Study

Itamar Oliveira

University of Birmingham

Alexander Ortiz

Massachusetts Institute of Technology

Yixuan Pang

University of Pennsylvania

Peiqi Nie

University of California, Berkeley

Jonas Peteranderl

LMU Munich

Bruno Predojevic

University of Zagreb, Faculty of Science, Department of Mathematics

Blanca Radillo Murguia

Baylor University

Helge Jørgen Samuelsen

Norwegian University of Science and Technology

Olivine Silier

UC Berkeley

Lenka Slavíkóva

Charles University

Rajula Srivastava

University of Bonn and MPIM, Bonn

Niclas Technau

Max Planck Institute for Mathematics

Amy Tierney

University of Birmingham

Tian Wang

Max Planck Institute for Mathematics

Chenjian Wang

The University of British Columbia

Siliang Weng

Karlsruhe Institute of Technology

Lena Wurzinger

Institute of Science and Technology Austria

Tianhan Yi

The Chinese University of Hong Kong

Shuntaro Yamagishi

Institute of Science Technology Austria

Tongou Yang

University of California, Los Angeles

Liding Yao

The Ohio State University

Jiahui Yu

Massachusetts Institute of Technology

Yufei Zhan

University of Pennsylvania

Jianghao Zhang

University of Bonn

Wenqi Zhang

Australian National University

Junjie Zhu

University of British Columbia

Dimas de Albuquerque

University of Wisconsin Madison

Jaume de Dios Pont

ETH Zurich

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