Shaoming Guo
Mathematics · Indiana University
Publications
65
Citations
453
Est. group size
—
Recurring co-author estimate
Active years
13
Publishing since 2014
Shaoming Guo works in harmonic analysis, a branch of pure mathematics that studies how functions can be broken down into and reconstructed from simpler wave-like pieces. Much of the research focuses on estimating oscillatory integral operators, decoupling inequalities, and restriction and maximal-function problems, which are technical tools with connections to wave equations and number theory.
Publication activity has been fairly steady over the past decade, with a peak around 2021 and a somewhat lower cadence in the most recent years (averaging about 2.6 papers per year over the last five years).
Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026
- On a planar Pierce–Yung operator
Duke Mathematical Journal · 2026
- Sharp Lp bounds for the helical maximal function
American Journal of Mathematics · 2025
- Oscillatory Integral Operators and Variable Schrödinger Propagators: Beyond the Universal Estimates
Geometric and Functional Analysis · 2025
- A dichotomy for Hörmander-type oscillatory integral operators
Inventiones mathematicae · 2024
- A stationary set method for estimating oscillatory integrals
Journal of the European Mathematical Society · 2024
- The dichotomy of Nikodym sets and local smoothing estimates for wave equations
arXiv (Cornell University) · 2024
- The Bochner–Riesz Problem: An Old Approach Revisited
Peking Mathematical Journal · 2024
- A Restriction Estimate for Surfaces with Negative Gaussian Curvatures
Peking Mathematical Journal · 2023
- Decoupling inequalities for quadratic forms
Duke Mathematical Journal · 2023
- Improved discrete restriction for the parabola
Mathematical Research Letters · 2023
- $L^p$ integrability of functions with Fourier support on a smooth space curve
arXiv (Cornell University) · 2023
- Decoupling for two quadratic forms in three variables: a complete characterization
Revista Matemática Iberoamericana · 2022
- Fourier restriction estimates for surfaces of co-dimension two in ℝ5
Journal d Analyse Mathématique · 2022
- Reversing a Philosophy: From Counting to Square Functions and Decoupling
Journal of Geometric Analysis · 2021
- A short proof of ℓ2 decoupling for the moment curve
American Journal of Mathematics · 2021
- arXiv (Cornell University)×19
- Advances in Mathematics×3
- Inventiones mathematicae×2
- Transactions of the American Mathematical Society×2
- Journal of Geometric Analysis×2
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 11, 2026.
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