Rowan_Killip

Rowan Killip

Rowan Killip

American mathematician


Rowan Killip is an AmericanNew Zealand mathematician at the University of California, Los Angeles whose work focuses on mathematical physics, particularly partial differential equations. He won a Sloan Research Fellowship in 2004[2] and a Simons Fellowship in Mathematics in 2015.[3] In 2023, he won, along with Monica Vișan, the Frontiers of Science Award at the International Congress for Basic Science in Beijing, China for proving the global well-posedness of the Korteweg–De Vries equation in the Sobolev space H-1.[4][5]

Quick Facts Alma mater, Known for ...

Early life and education

Killip was an undergraduate at the University of Auckland.[6] He completed his Ph.D. at the California Institute of Technology in 2000. His doctoral advisor was Barry Simon; his doctoral thesis was titled Perturbations of One-Dimensional Schrodinger Operators Preserving the Absolutely Continuous Spectrum.[7]

Career

Following his doctoral studies, he was a postdoctoral researcher at the University of Pennsylvania, the Institute for Advanced Study,[8] and the Mittag-Leffler Institute before returning to Caltech again.[9] He joined the faculty at UCLA as an assistant professor in 2003, becoming full professor in 2009.[10]

Selected publications

Killip's research papers include:

  • Killip, Rowan; Tao, Terence; Vișan, Monica (2009), "The cubic nonlinear Schrödinger equation in two dimensions with radial data", Journal of the European Mathematical Society, 11 (6): 1203–1258, arXiv:0707.3188, doi:10.4171/JEMS/180, MR 2557134
  • Killip, Rowan; Vişan, Monica (2010), "The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher", American Journal of Mathematics, 132 (2): 361–424, arXiv:0804.1018, doi:10.1353/ajm.0.0107, MR 2654778, S2CID 1068572
  • Killip, Rowan; Vişan, Monica (2013), "Nonlinear Schrödinger equations at critical regularity" (PDF), Evolution equations, Clay Math. Proc., vol. 17, Amer. Math. Soc., Providence, RI, pp. 325–437, MR 3098643
  • Killip, Rowan; Vişan, Monica (2019), "KdV is well-posed in H^{–1}", Annals of Mathematics, 190, Department of Mathematics, Princeton University: 249–305, arXiv:1802.04851, doi:10.4007/annals.2019.190.1.4, MR 3990604

References

  1. "Fall 2019 Newsletter of the UCLA Mathematics Department" (PDF). UCLA Mathematics Department. Retrieved 2024-03-19.
  2. Killip, Rowan; Visan, Monica (2018). ""KdV is wellposed in H^{−1}"". arXiv:1802.04851 [math.AP].
  3. "Rowan Killip CV" (PDF). UCLA Department of Mathematics. Retrieved 2024-03-19.

Share this article:

This article uses material from the Wikipedia article Rowan_Killip, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.