Xiaochun Li

Applied Mathematics · with Du · 2003–2018

A researcher in the Science corpus: 8 papers; trusts 14 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 29 citations into it; #1,667 of 7,620 by trust here, #1,522 by citations
• Mathematical Physics — 17 citations into it; #2,398 of 8,562 by trust here, #1,776 by citations
• Geometry and Topology — 6 citations into it; #4,346 of 7,422 by trust here, #3,358 by citations
• Computational Theory and Mathematics — 5 citations into it
• Numerical Analysis — 5 citations into it

Whom Xiaochun Li trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Loukas Grafakos
2. C. Thiele
3. B. Host
4. Michael Christ
5. Larry Guth
6. Bryna Kra
7. Jerrold E. Marsden
8. Keith McKenzie Rogers
9. Michael T. Lacey
10. Terence Tao

Who trusts Xiaochun Li overall

1. Loukas Grafakos
2. Xiumin Du
3. Camil Muscalu
4. C. Benea
5. Zunwei Fu
6. Larry Guth
7. Ruixiang Zhang
8. Michael T. Lacey
9. Eunhee Jeong
10. Danqing He

Papers from Xiaochun Li's perspective

Ordered by how strongly the researchers Xiaochun Li trusts endorse each paper. Same corpus, a different order for every researcher.

1. Convergence of Fourier Series
2. Multilinear level set operators, oscillatory integral operators, and Newton polyhedra
3. Coherence on Fractals Versus Pointwise Convergence for the Schrödinger Equation
4. A note on the Schrödinger maximal function
5. Multilinear Calderón–Zygmund Theory
6. Nonconventional ergodic averages and nilmanifolds
7. Average decay of the Fourier transform of measures with applications (Journal of the European Mathematical Society (Print))
8. On the multilinear restriction and Kakeya conjectures
9. A sharp Schrödinger maximal estimate in R2
10. A local smoothing estimate for the Schrödinger equation

Their papers

• POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018) — 72 citations
• A sharp Schrödinger maximal estimate in R2 (2017) — 148 citations
• Bilinear Hilbert transforms along curves, I: the monomial case (2008) — 55 citations
• On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields (2007) — 51 citations
• Uniform Bounds for the Bilinear Hilbert Transforms, II (2006) — 52 citations
• The disc as a bilinear multiplier (2006) — 61 citations
• Uniform bounds for the bilinear Hilbert transforms, I (2004) — 102 citations
• On multilinear oscillatory integrals, nonsingular and singular (2003) — 66 citations