T. Zolkin, Y. Kharkov, and S. Nagaitsev, Machine-assisted discovery of integrable symplectic mappings, Phys. Rev. Research 5, 043241 (2023)

J. Jarvis, V. Lebedev, A. Romanov, D. Broemmelsiek, K. Carlson, S. Chattopadhyay, A. Dick, D. Edstrom, I. Lobach, S. Nagaitsev, H. Piekarz, P. Piot, J. Ruan, J. Santucci, G. Stancari and A. Valishev, Experimental demonstration of optical stochastic cooling, Nature v. 608, 287–292 (2022)

I. Lobach, S. Nagaitsev, A. Romanov, and G. Stancari, Single electron in a storage ring: a probe into the fundamental properties of synchrotron radiation and a powerful diagnostic tool, 2022 JINST 17 P02014

I. Lobach, A. Halavanau, Z. Huang, K. Kim, S. Nagaitsev, A.L. Romanov, G. Stancari, and A. Valishev, Observation of Undulator Radiation Generated by a Single Electron Circulating in a Storage Ring and Possible Applications, Proceedings IPAC21

C. Mitchell, R. Ryne, K. Hwang, S. Nagaitsev, and T. Zolkin, Extracting Dynamical Frequencies from Invariants of Motion in Finite-Dimensional Nonlinear Integrable Systems, Phys. Rev. E 103, 062216 (2021)

S. Nagaitsev, I. Lobach, E. Stern and T. Zolkin, McMillan electron lens in a system with space charge, 2021 JINST 16 P03047

I. Lobach, S. Nagaitsev, V. Lebedev, A. Romanov, G. Stancari, A. Valishev, A. Halavanau, Z. Huang, and K.-J. Kim, Transverse Beam Emittance Measurement by Undulator Radiation Power Noise, Phys. Rev. Lett. 126, 134802 (2021)

I. Lobach, S. Nagaitsev, V. Lebedev, A. Romanov, G. Stancari, A. Valishev, A. Halavanau, Z. Huang, and K.-J. Kim, Measurements of undulator radiation power noise and comparison with ab initio calculations, Phys. Rev. Accel. Beams 24, 040701 (2021)

Accelerator and Beam Physics Research Goals and Opportunities, https://arxiv.org/abs/2101.04107

I. Lobach, V. Lebedev, S. Nagaitsev, A. Romanov, G. Stancari, A. Valishev, A. Halavanau, Z. Huang, and K.-J. Kim, Statistical properties of spontaneous synchrotron radiation with arbitrary degree of coherence, Phys. Rev. Accel. Beams 23, 090703 (2020)

S. Nagaitsev and T. Zolkin, Betatron frequency and the Poincare rotation number, Phys. Rev. Accel. Beams 23, 054001 (2020)

E. Angelico, J. Eisch, A. Elagin, H. Frisch, S. Nagaitsev, and M. Wetstein, Energy and Flavor Discrimination Using Precision Time Structure in On-Axis Neutrino Beams, Phys. Rev. D 100, 032008 (2019).

S. Nagaitsev and V. Lebedev, A Cost-Effective Rapid-Cycling Synchrotron, Reviews of Accelerator Science and Technology, Vol. 10 (2018) 1-22, World Scientific Publishing Company, DOI: 10.1142/S1793626818001450

V. Lebedev, A. Burov, and S. Nagaitsev, Efficiency versus instability in plasma accelerators, Phys. Rev. Accel. Beams 20, 121301 (2017).

S. A. Antipov, P. Adamson, A. Burov, S. Nagaitsev, and M.-J. Yang, Fast instability caused by electron cloud in combined function magnets, Phys. Rev. Accel. Beams 20, 044401 (2017).

S.A. Antipov, S. Nagaitsev and A. Valishev, Single-particle dynamics in a nonlinear accelerator lattice: attaining a large tune spread with octupoles in IOTA, Journal of Instrumentation, Volume 12, April 2017.

S.A. Antipov et al., IOTA (Integrable Optics Test Accelerator): facility and experimental beam physics program, Journal of Instrumentation, Volume 12, March 2017.

S. Webb, D. Bruhwiler, A. Valishev, S. Nagaitsev, and V. Danilov, “Chromatic and Dispersive Effects in Nonlinear Integrable Optics”, arXiv:1504.05981

S. A. Antipov, S. Nagaitsev, A. Valishev, “Quasi-Integrable Nonlinear Optics Experiment at IOTA”, arXiv:1502.01688

S. Nagaitsev, L. Prost and A. Shemyakin, “Fermilab 4.3-MeV electron cooler,” 2015 JINST 10 T01001.

V. Danilov and S. Nagaitsev, “Accelerator-feasible N-body nonlinear integrable system”, Phys. Rev. ST Accel. Beams 17, 124402 (2014).

V. Danilov and S. Nagaitsev, “Nonlinear accelerator lattices with one and two analytic invariants”, Phys. Rev. ST Accel. Beams 13, 084002 (2010)

S. Nagaitsev, D. Broemmelsiek, A. Burov, K. Carlson, C. Gattuso, M. Hu, T. Kroc, L. Prost, S. Pruss, M. Sutherland, C. W. Schmidt, A. Shemyakin, V. Tupikov, A. Warner, G. Kazakevich, and S. Seletskiy, “Experimental Demonstration of Relativistic Electron Cooling”, Phys. Rev. Lett. 96, 044801 (2006)

A. Burov, S. Nagaitsev, and Ya. Derbenev, “Circular modes, beam adapters, and their applications in beam optics”, Phys. Rev. E 66, 016503 (2002)

T. Ellison, S. Nagaitsev, M. Ball, D. Caussyn, M. Ellison, and B. Hamilton, “Attainment of space-charge dominated beams in a synchrotron”, Phys. Rev. Lett. 70, 790 (1993)

I. N. Meshkov, S. S. Nagaitsev, and E. M. Syresin, “Beam-plasma discharge stimulated by electrostatic barriers”, Dokl. Akad. Nauk SSSR, 314:5 (1990), 1119-1121 (see link)