Rowan Killip

Rowan Killip
Killip teaching undergraduate probability in 2024
Alma materUniversity of Auckland, California Institute of Technology
Known forPartial differential equations, Nonlinear Schrödinger equation
SpouseMonica Vișan[1]
Scientific career
InstitutionsUCLA
Doctoral advisorBarry Simon

Rowan Killip is an American–New 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]

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 Schrödinger 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. ^ "Fellows Database". Alfred P. Sloan Foundation. Retrieved 2024-03-19.
  3. ^ "Simons Fellows in Mathematics". Simons Foundation. Retrieved 2024-03-19.
  4. ^ Killip, Rowan; Visan, Monica (2018). ""KdV is wellposed in H^{−1}"". arXiv:1802.04851 [math.AP].
  5. ^ "Professors Rowan Killip and Monica Visan receive the 2023 Frontiers of Science Award". UCLA Department of Mathematics. Retrieved 2024-03-19.
  6. ^ "December 2015 Newsletter of the New Zealand Mathematical Society" (PDF). New Zealand Mathematical Society. Retrieved 2024-03-19.
  7. ^ "Rowan Killip – The Mathematics Genealogy Project". nodak.edu. Retrieved 2024-03-19.
  8. ^ "Scholars". Institute for Advanced Study. Retrieved 2024-03-19.
  9. ^ "December 2015 Newsletter of the New Zealand Mathematical Society" (PDF). New Zealand Mathematical Society. Retrieved 2024-03-19.
  10. ^ "Rowan Killip CV" (PDF). UCLA Department of Mathematics. Retrieved 2024-03-19.