World's Best Scientists 2026 revealed!

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Mathematics

D-Index
38
Citations
4782
World Ranking
2390
National Ranking
1002

Research.com Recognitions

  • 2014 - Fellow of the American Mathematical Society For contributions to Fourier integral operators, local smoothing, oscillatory integrals, and Fourier multipliers.

Overview

Andreas Seeger is affiliated with the University of Wisconsin-Madison in the United States and specializes in mathematics, with a focus on applied mathematics, mathematical physics, computational theory, numerical analysis, and geometry and topology.

Their recent publications include:

  • Spherical maximal functions and fractal dimensions of dilation sets, 2023, American Journal of Mathematics
  • Sobolev spaces revisited, 2022, Rendiconti Lincei Matematica e Applicazioni
  • Families of functionals representing Sobolev norms, 2024, Analysis & PDE
  • Multi-scale Sparse Domination, 2024, Memoirs of the American Mathematical Society
  • Spherical means on the Heisenberg group: Stability of a maximal function estimate, 2021, Journal d'Analyse Mathématique

Frequent coauthors of Andreas Seeger include:

  • Joris Roos
  • David Beltrán
  • Jean Van Schaftingen
  • Po-Lam Yung
  • Gustavo Garrigós

Their work has appeared in multiple publication venues, with the most frequent being:

  • arXiv (Cornell University)
  • American Journal of Mathematics
  • Advances in Mathematics
  • Journal of Geometric Analysis
  • Mathematische Annalen

Andreas Seeger's work covers a range of advanced mathematical topics including:

  • Advanced Harmonic Analysis Research
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Advanced Mathematical Modeling in Engineering
  • Mathematical Approximation and Integration
  • Spectral Theory in Mathematical Physics
  • Mathematical Analysis and Transform Methods

In 2014, Andreas Seeger was recognized as a Fellow of the American Mathematical Society for contributions to Fourier integral operators, local smoothing, oscillatory integrals, and Fourier multipliers.

Best Publications

  • Regularity properties of Fourier integral operators

    Andreas Seeger;Christopher D. Sogge;Elias M. Stein

  • Local smoothing of Fourier integral operators and Carleson-Sjölin estimates

    Gerd Mockenhaupt;Andreas Seeger;Christopher D. Sogge

  • Wave front sets, local smoothing and Bourgain's circular maximal theorem

    Gerd Mockenhaupt;Andreas Seeger;Christopher D. Sogge

  • Strong variational and jump inequalities in harmonic analysis

    Roger L. Jones;Andreas Seeger;James Wright

  • Singular integral operators with rough convolution kernels

    Andreas Seeger

  • A variation norm Carleson theorem

    Richard Oberlin;Andreas Seeger;Terence Tao;Christoph Thiele

  • Fourier integral operators with fold singularities.

    Andreas Seeger;Allan Greenleaf

  • Extensions of the Stein-Tomas theorem

    Jong-Guk Bak;Andreas Seeger

  • L^p regularity of averages over curves and bounds for associated maximal operators

    Malabika Pramanik;Andreas Seeger

  • A note on Triebel-Lizorkin spaces

    Andreas Seeger

  • Degenerate Fourier integral operators in the plane

    Andreas Seeger

  • Radon transforms and finite type conditions

    Andreas Seeger

  • On the boundedness of functions of (pseudo-) differential operators on compact manifolds

    A. Seeger;C. D. Sogge

  • Improved bounds for Stein's square functions

    Sanghyuk Lee;Keith M. Rogers;Andreas Seeger

  • Classes of singular integral operators along variable lines

    Anthony Carbery;Anthony Carbery;Andreas Seeger;Andreas Seeger;Stephen Wainger;Stephen Wainger;James Wright

  • Singular spherical maximal operators on a class of two step nilpotent lie groups

    Detlef Müller;Andreas Seeger

  • Radial Fourier multipliers in high dimensions

    Yaryong Heo;Yaryong Heo;Fëdor Nazarov;Andreas Seeger

  • Oscillatory and Fourier integral operators with degenerate canonical relations

    Allan Greenleaf;Andreas Seeger

  • Some inequalities for singular convolution operators in ^{}-spaces

    Andreas Seeger

  • Fourier Integral Operators with Cusp Singularities

    Allan Greenleaf;Andreas Seeger

  • Some Problems in Harmonic Analysis

    Loukas Grafakos;Diogo Oliveira e Silva;Malabika Pramanik;Andreas Seeger

Frequent Co-Authors

Terence Tao
Terence Tao University of California, Los Angeles
Alex Iosevich
Alex Iosevich University of Rochester
Loukas Grafakos
Loukas Grafakos University of Missouri
Fedor Nazarov
Fedor Nazarov Kent State University
Michael Christ
Michael Christ University of California, Berkeley
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University
Eric T. Sawyer
Eric T. Sawyer McMaster University
Michael Cowling
Michael Cowling University of New South Wales
Stephen Wainger
Stephen Wainger University of Wisconsin–Madison
Elias M. Stein
Elias M. Stein Princeton University

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