**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**

- Tom Hong, Applied Mathematics
- Peng Wang, Applied Physics
- Wenxuan Xie, Applied
Physics

**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

**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)