Michael Christ

Mathematical Physics · 2001–2014

A researcher in the Science corpus: 15 papers; trusts 25 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 39 citations into it; #225 of 8,562 by trust here, #226 by citations
• Applied Mathematics — 26 citations into it; #699 of 7,620 by trust here, #469 by citations
• Geometry and Topology — 12 citations into it; #6,585 of 7,422 by trust here, #5,008 by citations
• Statistical and Nonlinear Physics — 12 citations into it; #1,225 of 10,127 by trust here, #1,638 by citations
• Computational Theory and Mathematics — 5 citations into it; #955 of 12,182 by trust here, #1,587 by citations

Whom Michael Christ trusts overall

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

1. C. Anantharaman-Delaroche
2. Jonathan Bennett
3. Christopher D. Sogge
4. Shuanglin Shao
5. Nathanial P. Brown Narutaka Ozawa
6. Ravi Vakil
7. Marc Rieffel
8. Luca Fanelli
9. Nicolas Burq
10. Terence Tao

Who trusts Michael Christ overall

1. Nicolas Burq
2. Carlos E. Kenig
3. Camil Muscalu
4. Terence Tao
5. James E. Colliander
6. Damiano Foschi
7. Shuanglin Shao
8. B. Dodson
9. A. Alexandrou Himonas
10. Younghun Hong

Papers from Michael Christ's perspective

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

1. On the Existence of a Maximizer for the Strichartz Inequality
2. Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation
3. Theory of Hp Spaces
4. Communication Complexity of PRAMs
5. On the extremizers of an adjoint Fourier restriction inequality
6. Murphy’s law in algebraic geometry: Badly-behaved deformation spaces
7. Communication lower bounds for distributed-memory matrix multiplication
8. Heat-flow monotonicity of Strichartz norms
9. On the existence of maximizers for a family of restriction theorems
10. A Sharp Inequality for the Strichartz Norm

Their papers

• Maximal Functions Associated to Filtrations (2001) — 477 citations
• The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals (2005) — 306 citations
• Communication lower bounds and optimal algorithms for programs that reference arrays - Part 1 (2013) — 82 citations
• A sharpened Hausdorff-Young inequality (2014) — 47 citations
• Existence of Extremals for a Fourier Restriction Inequality (2010) — 91 citations
• On the extremizers of an adjoint Fourier restriction inequality (2010) — 61 citations
• A priori bounds and weak solutions for the nonlinear Schr (2006) — 72 citations
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities (2005) — 130 citations
• Ill-posedness for nonlinear Schrodinger and wave equations (2003) — 252 citations
• On multilinear oscillatory integrals, nonsingular and singular (2003) — 66 citations
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations (2002) — 464 citations
• Nilpotent Group C*-algebras as Compact Quantum Metric Spaces (2002) — 75 citations
• WKB Asymptotic Behavior of Almost All Generalized Eigenfunctions for One-Dimensional Schrödinger Operators with Slowly Decaying Potentials (2001) — 59 citations
• Vector ₂ weights and a Hardy-Littlewood maximal function (2001) — 48 citations
• Hypoellipticity in the infinitely degenerate regime (2001) — 50 citations