Rowan Killip

Mathematical Physics · 2001–2018

A researcher in the Science corpus: 12 papers; trusts 42 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 146 citations into it; #346 of 8,562 by trust here, #429 by citations
• Applied Mathematics — 86 citations into it; #2,923 of 7,620 by trust here, #3,410 by citations
• Statistical and Nonlinear Physics — 55 citations into it; #2,978 of 10,127 by trust here, #5,894 by citations
• Control and Systems Engineering — 31 citations into it; #1,086 of 8,257 by trust here, #3,004 by citations
• Computational Theory and Mathematics — 13 citations into it; #2,005 of 12,182 by trust here, #5,465 by citations
• Statistics and Probability — 7 citations into it; #12,653 of 12,932 by trust here, #10,855 by citations
• Algebra and Number Theory — 5 citations into it
• Nuclear and High Energy Physics — 5 citations into it

Whom Rowan Killip trusts overall

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

1. Terence Tao
2. Sahbi Keraani
3. Monica Visan
4. F. Merle
5. Barry Simon
6. James E. Colliander
7. Carlos E. Kenig
8. Percy Deift
9. Freeman J. Dyson
10. Markus Keel

Who trusts Rowan Killip overall

1. Barry Simon
2. B. Dodson
3. David Damanik
4. Aynur Bulut
5. Carlos E. Kenig
6. Vedran Sohinger
7. Sergey A. Denisov
8. Monica Visan
9. Terence Tao
10. Shuanglin Shao

Papers from Rowan Killip's perspective

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

1. Global Solutions of Nonlinear Schrodinger Equations (Journal of Partial Differential Equations)
2. Semilinear Schrodinger Equations
3. Maximal Functions Associated to Filtrations
4. Perturbation theory for linear operators
5. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
6. Multilinear estimates for periodic KdV equations, and applications
7. Sharp global well-posedness for KdV and modified KdV on ℝ and
8. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
9. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
10. Existence of blow-up solutions in the energy space for the critical generalized KdV equation

Their papers

• Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles (2009) — 112 citations
• Perturbations of one-dimensional Schrodinger operators preserving the absolutely continuous spectrum (2002) — 57 citations
• Sum rules for Jacobi matrices and their applications to spectral theory (2001) — 285 citations
• KdV is well-posed in H–1 (2018) — 186 citations
• Sobolev spaces adapted to the Schrödinger operator with inverse-square potential (2015) — 126 citations
• Nonlinear Schrodinger Equations at Critical Regularity (2013) — 263 citations
• Quintic NLS in the exterior of a strictly convex obstacle (2012) — 68 citations
• The focusing energy-critical nonlinear Schr\"odinger equation in dimensions five and higher (2008) — 256 citations
• The cubic nonlinear Schr\"odinger equation in two dimensions with radial data (2007) — 251 citations
• The mass-critical nonlinear Schr\"odinger equation with radial data in dimensions three and higher (2007) — 172 citations
• Sum rules and spectral measures of Schrödinger operators with L^2 potentials (2006) — 52 citations
• Matrix models for circular ensembles (2004) — 248 citations