缅北禁地

Skip to main content

Staff Profile

Dr David Kimsey

Reader in Pure Mathematics, Director of Postgraduate Studies

Background

Professional Appointments:


2024-present: Reader in Pure Mathematics, School of Mathematics, Statistics and Physics, 缅北禁地, UK.


2022-2024: Senior Lecturer in Pure Mathematics, School of Mathematics, Statistics and Physics, 缅北禁地, UK.


2016-2022: Lecturer in Pure Mathematics, School of Mathematics, Statistics and Physics, 缅北禁地, UK.


2013-2015: Postdoctoral fellow in the Department of Mathematics, Ben-Gurion University of the Negev, Israel. Supervisor: Daniel Alpay.


2011-2013: Postdoctoral fellow in the Faculty of Mathematics, Weizmann Institute of Science, Israel. Supervisor: Harry Dym.


Education:

2011: PhD in Mathematics from Drexel University, USA. Thesis title: Matrix-valued moment problems. Supervisor: Hugo J. Woerdeman.

2007: BSc in Mathematics from Drexel University, USA.


Languages:

English

Research

Broadly speaking, my research interests center around investigating connections between operator theory on quaternionic (complex) Hilbert spaces and quaternion-valued (complex-valued) function theory. In particular, multidimensional moment problems, orthogonal matrix polynomials and related asymptotics and spectral theory for operators on a quaternionic Hilbert space.

Spectral theory for normal operators on a quaternionic Hilbert space is motivated by connections to quantum mechanics and is quite delicate due to the noncommutativity of the quaternions. One quickly realises that the notion of spectrum is not immediately obvious. The proper notion turns out to be given by the recently discovered S-spectrum. In the recent , Alpay, Colombo and I produced a rigorous analogue of the spectral theorem for bounded and unbounded normal operators on a quaternionic Hilbert space. Related function theory and moment problems in quaternionic settings are also of interest and have been explored. 

Publications

  • Articles

    • Colombo F, Gantner J, Kimsey DP, Sabadini I. . Advances in Mathematics 2022, 410(Part A), 108719.
    • Colombo F, Kimsey DP. . Analysis and Mathematical Physics 2022, 12(1), 25.
    • Kimsey DP. . Linear Algebra and Its Applications 2022, 645, 170-193.
    • Kimsey DP, Trachana M. . Milan Journal of Mathematics 2022, 90, 17-101.
    • Kimsey DP, Putinar M. . Mathematische Zeitschrift 2021, 298, 935-942.
    • Kimsey DP, Putinar M. . Computational Methods and Function Theory 2018, 18(3), 495-510.
    • Alpay D, Colombo F, Gantner J, Kimsey DP. . Analysis and Applications 2017, 15(2), 279.
    • Alpay D, Colombo F, Kimsey DP, Sabadini I. . Mediterranean Journal of Mathematics 2016, 13(5), 2463–2482.
    • Kimsey DP. . Journal of Mathematical Analysis and Applications 2016, 434, 1504-1532.
    • Alpay D, Colombo F, Kimsey DP, Sabadini I. . Milan Journal of Mathematics 2016, 84(1), 41-61.
    • Alpay D, Colombo F, Kimsey DP. . Journal of Mathematical Physics 2016, 57(2), 023503.
    • Alpay D, Colombo F, Kimsey DP, Sabadini I. . Applied Mathematics and Computation 2016, 286.
    • Dym H, Kimsey DP. . EMS Surveys in Mathematical Sciences 2016, 3(1), 1–105.
    • Alpay D, Bozejko M, Colombo F, Kimsey DP, Sabadini I. . Linear Algebra and its Applications 2016, 506, 382-412.
    • Alpay D, Bozejko M, Colombo F, Kimsey DP, Sabadini I. . Linear Algebra and its Applications 2016, 506, 382-412.
    • Alpay D, Jorgensen PET, Kimsey DP. . Infinite Dimensional Analysis, Quantum Probability and Related Topics 2015, 18(4), 1550024.
    • Abu-Ghanem K, Alpay D, Colombo F, Kimsey DP, Sabadini I. . Integral Equations Operator Theory 2015, 82(2), 223-248.
    • Alpay D, Colombo F, Kimsey DP, Sabadini I. . Journal of Mathematical Analysis and Applications 2015, 421(1), 754-778.
    • Kimsey DP. A moment matrix method for constructing cubature rules in the complex plane with prescribed size. 2015. Submitted.
    • Dym H, Kimsey DP. . Journal of Functional Analysis 2014, 266(2), 713-732.
    • Kimsey DP. . Integral Equations and Operator Theory 2014, 80(3), 353-378.
    • Kimsey DP. . Journal of Functional Analysis 2014, 266(3), 1170-1184.
    • Dym H, Kimsey DP. . Linear Algebra and its Applications 2013, 439(10), 3070-3099.
    • Kimsey DP, Woerdeman HJ. . Transactions of the American Mathematical Society 2013, 365(10), 5393-5430.
    • Dym H, Kimsey DP. Trace formulas for a class of vector-valued Wiener-Hopf like operators, I. Indag. Math. (N.S.) 2012, 23, 1129-1153.
    • Kimsey DP, Woerdeman HJ. Minimal normal and commuting completions. International Journal of Information & Systems Sciences 2008, 50–59.

  • Book Chapters

    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2019, pp.1-10.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.53-74.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.245-254.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.233-243.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.125-136.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.137-149.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.177-185.
    • Colombo F, Gantner J, Kimsey DP. . In: Spectral Theory on the S-Spectrum for Quaternionic Operators. Cham: Birkhauser, 2018, pp.151-176.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.1-356.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.255-271.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.273-302.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.219-231.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.11-51.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.187-217.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.75-124.
    • Colombo F, Gantner J, Kimsey DP. . In: Operator Theory: Advances and Applications. Birkhaeuser Verlag AG, 2018, pp.303-335.
    • Colombo F, Kimsey DP. . In: Modern Trends in Hypercomplex Analysis. Cham: Birkhaeuser, 2016, pp.111-142.