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

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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. 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.

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Graduate Students

• Pepijn de Maat, Physics
  
• Tom Hong, Applied Mathematics
• Peng Wang, Applied Physics
• Wenxuan Xie, Applied Physics

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Teaching

• Math 310 Complex Analysis
• Math 447 Partial Differential Equations
• Math 632 Quantum Field Theory
• Math 652 Waves in Complex Media
• Math 865 Inverse Problems

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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)

17. Hiltunen, E., Kraisler, J., Schotland, J. and Weinstein, M. Nonlocal PDEs and Quantum Optics: Bound States and Resonances. SIAM J. Math. Analysis 56, 3802-3831 (2024)

18. Dong, Y. Sadiq, K., Scherzer, O. and Schotland, J. Computational Inverse Scattering with Internal Sources: A Reproducing Kernel Hilbert Space Approach. Phys. Rev. E 110, 065302 (2024)

19. Defilippis, N., Moskow, S. and Schotland, J. Nonlinearity Helps the Convergence of the Inverse Born Series. Inverse Probl. 40, 125030 (2024)

20. Markel, V., Machida, M. and Schotland, J. Collision Expansion for the Radiative Transport Equation: Analytical Results and Numerical Simulations. Journal of Quantitative Spectroscopy and Radiative Transfer 333, 109311 (2024)