John C Schotland
Zhao and Ji Professor of Mathematics
Professor of Physics and Applied Physics
Mailing Address:
Department of Mathematics
Yale University
PO Box 208283
New Haven, CT 06520-8283
Office: 943 Kline Tower
Tel: (203) 432-7055
Fax: (203) 432-7316
Email: john.schotland@yale.edu
Office hours: by appointment
Biography
I am a professor of mathematics at Yale
University. I also hold secondary appointments in the physics
and applied physics departments. My research interests are in
mathematical physics. My current work is focused on many-body
problems in quantum optics. I also have a longstanding
interest in inverse problems. My early work on optical imaging
was motivated by biomedical applications. Prior to joining the
Yale faculty, I was a professor of mathematics and physics at
University of Michigan, and
founding director of the Michigan Center for Applied and
Interdisciplinary Mathematics (MCAIM). I received the M.D. and
Ph.D. degrees from the University of Pennsylvania.
Graduate Students
Teaching
Selected Publications
Carminati, R. and Schotland,
J., Principles of Scattering and Transport of Light (Cambridge
University Press, 2021)
1. Gilbert, A., Levinson, H. and Schotland, J. Inverse Scattering and
Nonlinear Iterative Hard Thresholding. SIAM Journal Imaging
Science 13, 108-140 (2020)
2. Mirza, I., Hoskins, J. and Schotland,
J. Dimer Chains in Waveguide Quantum Electrodynamics. Opt.
Comm. 463, 125427 (2020)
3. Chung, F., Hoskins, J. and Schotland,
J. Coherent Acousto-optic Tomography with Diffuse Light. Opt.
Lett. 45, 1623-1626 (2020)
4. Schotland, J. Acousto-optic
Imaging of Random Media. Prog. Opt. 65, 347-380 (2020)
5. Chung, F., Hoskins, J. and Schotland,
J. Radiative Transport Model for Coherent Acousto- optic Tomography. Inverse Probl. 36, 064004 (2020)
6. Li, W., Schotland, J., Yang,
Y. and Zhong, Y. Acousto-Electric
Inverse Source Problem. SIAM Journal Imaging Science 14,
1601-1616 (2021)
7. Kraisler, J. and Schotland, J. Collective Spontaneous
Emission and Kinetic Equations for One-Photon Light in Random
Media. J. Math. Phys. 63, 031901 (2022)
8. Hoskins, J. and Schotland, J.
Analysis of the Inverse Born Series: An Approach Through
Geometric Function Theory. Inverse Probl.
38, 074001 (2022)
9. Faulkner, M., Schotland, J.,
Markel, V. and Florescu, L.
Numerical Investigation of Non-Reciprocal Broken-Ray
Tomography for Optical Fluorescence Imaging. J. Opt. Soc. Am.
A 39, 1621-1633 (2022)
10. Hoskins, J., Kaye, J., Rachh,
M. and Schotland, J. A fast,
High-Order Numerical Method for the Simulation of
Single-Excitation States in Quantum Optics. J. Comp. Phys. 473,
111723 (2022)
11. Markel, V. and Schotland, J.
Reduced Inverse Born Series: A Computational Study. J. Opt.
Soc. Am. A 39, 179-189 (2022)
12. Hoskins, J., Rachh, M. and Schotland, J. Quantum Electrodynamics
of Chiral and Antichiral
Waveguide Arrays. Opt. Lett. 48, 1232-1235 (2023)
13. Li, W., Schotland, J., Yang,
Y. and Zhong, Y. Inverse Source Problem for Acoustically
Modulated Electromagnetic Waves. SIAM J. Appl. Math. 83,
418-435 (2023)
14. Kraisler, J., Li, W., Ren,
K., Schotland, J. and Zhong, Y.
Transport Models for Wave Propagation in Scattering Media with
Nonlinear Absorption. SIAM J. Appl. Math. 83,
1677-1695 (2023)
15. Kraisler, J. and Schotland, J. Kinetic Equations for
Two-Photon Light in Random Media. J. Math. Phys. 64,
111903 (2023)
16. Defilippis, N., Moskow, S. and Schotland,
J. Born and Inverse Born Series for a Scattering Problem with
a Kerr Nonlinearity. Inverse Probl.
39, 125015 (2023)