Stephen P. Shipman Professor and Director of Graduate Studies Department of Mathematics Louisiana State University » Home » Research Publications Topics Group » Courses » REU » Funding » Contact Links: Math Department LSU Home Page Am. Math Soc. Math. Assoc. Am. Nat. Sci. Found. Siblinks: Barbara Michael Patrick Art Birds Research Articles of Stephen P. Shipman [MSVW23] Defect bound states in the continuum without symmetry protection: bilayer graphene and beyond, Daniel Massatt and Stephen P. Shipman and Ilya Vekhter and Justin H. Wilson, Preprint (2023). [CLS23] Spectral analysis of the Neumann-Poincaré operator for thin doubly connected domains, Doosung Choi and Mikyoung Lim and Stephen P. Shipman Preprint (2023). [SV23] Stable defect states in the continuous spectrum of bilayer graphene with magnetic field, Stephen P. Shipman and Jorge Villalobos, Physica D 455 (2023) 133891, for a special issue in memory of Hermann Flaschka. arXiv [LPS22] Infinitely many embedded eigenvalues for the Neumann-Poincaré operator in 3D, Wei Li and Karl-Mikael Perfekt and Stephen P. Shipman, SIAM J. Math. Anal. 54(1) (2022) 343-362. arXiv [FLS21] Reducible Fermi surface for multi-layer quantum graphs including stacked graphene, Lee Fisher and Wei Li and Stephen P. Shipman, Comm. Math. Phys. 385 (2021) 1499-1534. arXiv [BSSW21] The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval, B. Malcolm Brown and Karl Michael Schmidt and Stephen P. Shipman and Ian Wood, Mathematika 67 (2021) 788-806. arXiv [HS21] Spectra of Regular Quantum Trees: Rogue Eigenvalues and Dependence on Vertex Condition, Zhaoxia W. Hess and Stephen P. Shipman, Annales Henri Poincaré 22 (2021) 2531-2561. arXiv [LS20] Irreducibility of the Fermi Surface for Planar Periodic Graph Operators, Wei Li and Stephen P. Shipman, Lett. Math. Phys. 110 (2020) 2543-2572. arXiv [LSZ20] A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits, Junshan Lin, Stephen P. Shipman, and Hai Zhang, SIAM J. Appl. Math. 80(5) (2020) 2045-2070. arXiv [LS19] Embedded eigenvalues for the Neumann-Poincaré operator, Wei Li and Stephen P. Shipman, J. Integral Equations and Appl. 31(4) (2019) 505-534. arXiv [S19] Reducible Fermi Surfaces for Non-symmetric Bilayer Quantum-Graph Operators, Stephen P. Shipman, J. Spectral Theory 10(1) (2019) 33-72. arXiv [PSTV19] Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies, Carlos Peréz-Arancibia, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides, Commun. Comput. Phys., 26 (2019), pp. 265-310. arXiv [GS18] Short-Time Nonlinear Effects in the Exciton-Polariton System, Cristi D. Guevara and Stephen P. Shipman, J. Nonlinear Sci. 28(2) (2018) 579-597. arXiv. Conference Proceeding: Short-Time Behavior of the Exciton-Polariton Equations, Proceedings of the XXXV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 2016. [BSTV17] Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies, Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides, Proc. R. Soc. Lond. A 473 (2017). arXiv [SSS17] Lorentz-Conformal Transformations in the Plane, Barbara A. Shipman, Patrick D. Shipman, and Stephen P. Shipman, Expositiones Mathematicae 35(1) (2017) 54-85. arXiv [ST16] Spectra of semi-infinite quantum graph tubes, Stephen P. Shipman and Jeremy Tillay, Lett. Math. Phys., 106(10) (2016) 1317-1343. arXiv [BSTV16] Superalgebraically Convergent Smoothly-Windowed Lattice Sums for Doubly Periodic Green Functions in Three-Dimensional Space, Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides, Proc. R. Soc. Lond. A (2016). arXiv [SW16] Pathological scattering by a defect in a slow-light periodic layered medium, Stephen P. Shipman and Aaron T. Welters, J. Math. Phys. 57 (2016) 022902. arXiv [AS16] Dynamic Resonance in the High-Q and Near-Monochromatic Regime, Gayan S. Abeynanda and Stephen P. Shipman, Proceedings of the 16th International Conference on Mathematical Methods in Electrodynamic Theory (MMET16 Lviv) (2016). [KSV16] Lossless Polariton Solitons, Stavros Komineas, Stephen P. Shipman, and Stephanos Venakides, Physica D 316 (2016) 43-56. arXiv [KSV15] Continuous and discontinuous dark solitons in polariton condensates, Stavros Komineas, Stephen P. Shipman, and Stephanos Venakides, Physical Review B 91(13), 134503 (2015). arXiv [S14] Eigenfunctions of Unbounded Support for Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators, Stephen P. Shipman, Comm. Math. Phys., Vol. 332(2) (2014) 605-626. arXiv [SW13] Resonant electromagnetic scattering in anisotropic layered media, Stephen P. Shipman and Aaron T. Welters, Journal of Mathematical Physics, Vol. 54, Issue 10 (2013) 103511:1-40. arXiv [DSSW13] Resonances of a Potential Well with a Thick Barrier, David C. Dobson, Fadil Santosa, Stephen P. Shipman, and Michael I. Weinstein, SIAM J. Appl. Math., Vol. 73, No. 4 (2013) 1489-1512. Preprint [SW12] Resonance in Anisotropic Layered Media, Stephen P. Shipman and Aaron Welters, Proceedings of the 14th International Conference on Mathematical Methods in Electrodynamic Theory (MMET12 Kharkov) (2012) 6 p. [SV12] An Exactly Solvable Model for Nonlinear Resonant Scattering, Stephen P. Shipman and Stephanos Venakides, Nonlinearity, Vol. 25, No. 9 (2012) 2473-2501. arXiv / Conf. proc. (2011). [ST12] Total Resonant Transmission and Reflection by Periodic Structures, Stephen P. Shipman and Hairui Tu, SIAM J. Appl. Math., Vol. 72, No. 1 (2012) 216-239. [PS12] A lattice model for resonance in open periodic waveguides, Natalia Ptitsyna and Stephen P. Shipman, DCDS-S (Discret. Contin. Dyn. Sys. Series S) Vol. 5, No. 5 (2012) 989-1020. arXiv [BSTV11] Efficient Solution of Acoustic and Electromagnetic Scattering Problems in Three-Dimensional 2D-Periodic Media, Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides, Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (2011) 4 p. [FLS11] Convergent Power Series for Fields in Positive or Negative High-Contrast Periodic Media, Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman, Comm. PDE, Vol. 36, Issue 6 (2011) 1016-1043. arXiv [SRSW10] A Discrete Model for Resonance near Embedded Bound States, Stephen P. Shipman, Jennifer Ribbeck, Katherine H. Smith, and Clayton Weeks, IEEE Photonics Journal, Vol. 2, No. 6 (2010) 911-923. [NSF VIGRE project, Spring 2009] pdf [Sh10b] Power Series for Waves in Micro-Resonator Arrays, Stephen P. Shipman, Proceedings of the 13th International Conference on Mathematical Methods in Electrodynamic Theory (MMET10 Kyiv) (2010). [FLS10a] Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties, Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman, Proc. R. Soc. Lond. A Mat., doi:10.1098/rspa.2009.0542 (2010). Preprint [Sh10a] Resonant Scattering by Open Periodic Waveguides, Stephen P. Shipman, Chapter 2 in Wave Propagation in Periodic Media: Analysis, Numerical Techniques and Practical Applications, M. Ehrhardt, ed., E-Book Series PiCP, Bentham Science Publishers, Vol. 1 (2010). [Sh09] Field sensitivity to Lp variations of a scatterer, Stephen P. Shipman, J. Math. Anal. Appl., Vol. 360 (2009) 190-210. arXiv [PSV08] Fano resonance of waves in periodic slabs, N. Ptitsyna, S. P. Shipman, and S. Venakides, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 73-78. [PS08] Guided modes and anomalous scattering by a periodic lattice, N. Ptitsyna and S. P. Shipman, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 532-534. [KoSh08] Magnetism and homogenization of micro-resonators, R. V. Kohn and S. P. Shipman, SIAM J. on Multiscale Modeling and Simulation, Vol. 7, No. 1 (2008) 62-92. arXiv [RaSh08] Transmission through a thick periodic slab, K. Ramdani and S. P. Shipman, Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 18, No. 4 (2008) 543-572. HAL archives [ShVo07] Guided modes in periodic slabs: Existence and nonexistence, S. P. Shipman and D. Volkov, SIAM J. Appl. Math., Vol. 67, No. 3 (2007) 687-713. Digital WPI preprint [FiSh06] Open Systems Viewed Through Their Conservative Extensions, A. Figotin and S. P. Shipman, J. Stat. Phys. 125, 2 (2006) 359-409. arXiv [FiSh05] Open Subsystems of Conservative Systems, A. Figotin and S. P. Shipman, Proceedings of ENUMath 2005, 1155-1162. [ShVe05] Resonant transmission near non-robust periodic slab modes, S. Shipman and S. Venakides, Physical Review E, Vol. 71, 1 (2005), 026611-1-10. [ShVo04] Existence of Guided Modes in Periodic Slabs, S. Shipman and D. Volkov, Expanded Volume of the Fourth International Conference on Dynamical Systems and Differential Equations, Pomona, CA, June 2004, 784-791. [LiShVe03] Optimization of Resonances in Photonic Crystal Slabs, R. Lipton, S. Shipman, and S. Venakides, Proceedings of SPIE, Vol. 5184 (2003), pp. 168-177. [ShVe03] Resonance and Bound States in Photonic Crystal Slabs, S. Shipman and S. Venakides, SIAM J. Appl. Math., Vol. 64, No. 1 (2003), pp. 322-342. Preprint [Sh02] The Spectral Transform in the Semiclassical Limit of a Finite Discrete NLS Chain, S. P. Shipman, Physica D: Nonlinear Phenomena, Vol. 162, Nos. 1-2 (2002), 95-129. Preprint [HaShVe02] Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and Resonances, M. Haider, S. Shipman, and S. Venakides, SIAM J. Appl. Math., Vol. 62 (2002), No. 6, pp. 2129-2148. Preprint [Sh04] WKB Analysis in the Semiclassical Limit of a Discrete NLS System, S. P. Shipman, IMA Volumes in Mathematics and its Applications (2000), Springer-Verlag, 2004. [Sh00] Modulated Waves in a Semiclassical Continuum Limit of an Integrable NLS Chain, S. P. Shipman, Communications on Pure and Applied Mathematics, Vol. LIII, No. 2 (2000), 243-279. 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