Filip Ficek's homepage

I am a postdoc at the Faculty of Mathematics, University of Vienna
My ORCiD
My Google Scholar

Contact

E-mail: filip.ficek@univie.ac.at
Oskar-Morgenstern-Platz 1
1090 Vienna, Austria
Room 03.126

Research interests

• Nonlinear dispersive PDEs
• Classical fields and fluids in black hole spacetimes
• Spin-dependent exotic interactions

Preprints

• L. Cong, F. Ficek, R. Abdullin, M. G. Kozlov, D. Budker, Testing exotic electron-electron interactions with the helium ionization-energy anomaly
  [arXiv:2602.09743]
• F. Ficek, Time-periodic solutions to the cubic wave equation: an elementary constructive approach
  [arXiv:2510.20054]
• F. Ficek, M. Maliborski, New class of time-periodic solutions to the 1D cubic wave equation
  [arXiv:2506.10839]
• L. Cong, F. Ficek, P. Fadeev, Y. V. Stadnik, D. Budker, Searching for exotic interactions between antimatter
  [arXiv:2503.07161]
• F. Ficek, M. Maliborski, Trees, trunks, and branches – bifurcation structure of time-periodic solutions to u_tt–u_xx±u³=0
  Accepted for publication in Advances in Theoretical and Mathematical Physics, [arXiv:2408.05158]

Publications

• F. Ficek, M. Maliborski, Nonlinear oscillations of strings and beams
  📝 Prog. Theor. Exp. Phys. 2026, 021A01 (2026), [arXiv:2508.19091]
• L. Cong, F. Ficek, P. Fadeev, D. Budker, Improved constraints on exotic interactions between electron and proton in hydrogen
  📝 Phys. Rev. A 112, 052824 (2025), [arXiv:2408.11009]
• F. Ficek, M. Maliborski, Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on S³
  📝 Physica D 481, 134864 (2025), [arXiv:2504.10513]
• L. Cong, W. Ji, P. Fadeev, F. Ficek, M. Jiang, V. V. Flambaum, H. Guan, D. F. Jackson Kimball, M. G. Kozlov, Y. V. Stadnik, D. Budker, Spin-dependent exotic interactions
  📝 Rev. Mod. Phys. 97, 025005 (2025), [arXiv:2408.15691]
• F. Ficek, M. Maliborski, Periodic solutions for the 1D cubic wave equation with Dirichlet boundary conditions
  📝 Nonlinearity 38, 065016 (2025), [arXiv:2407.16507]
• F. Ficek, M. Maliborski, Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background
  📝 Phys. Rev. D 111, 064017 (2025), [arXiv:2411.09447]
• F. Ficek, C. Warnick, Quasinormal modes of Reissner-Nordström-AdS: the approach to extremality
  📝 Class. Quantum Grav. 41, 085011 (2024), [arXiv:2308.16035]
• F. Ficek, M. Maliborski, Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild-Anti-de Sitter background
  📝 Phys. Rev. D 109, 044015 (2024), [arXiv:2312.02760]
• W. Ji, W. Li, P. Fadeev, F. Ficek, J. Qin, K. Wei, Y.-C. Liu, D. Budker, Constraints on spin-spin velocity-dependent interactions
  📝 Phys. Rev. Lett. 130, 133202 (2023), Supplemental Material, [arXiv:2208.00658]
• P. Fadeev, F. Ficek, M. G. Kozlov, D. Budker, V. V. Flambaum, Pseudovector and pseudoscalar spin-dependent interactions in atoms
  📝 Phys. Rev. A 105, 022812 (2022), [arXiv:1911.05816]
• F. Ficek, Schrödinger-Newton-Hooke system in higher dimensions: Stationary states
  📝 Phys. Rev. D 103, 104062 (2021), [arXiv:2104.00149]
• P. Bizoń, F. Ficek, D. E. Pelinovsky, S. Sobieszek, Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential
  📝 Nonlinear Analysis 210, 112358 (2021), [arXiv:2009.04929]
• P. Fadeev, Y. V. Stadnik, F. Ficek, M. G. Kozlov, V. V. Flambaum, D. Budker, Revisiting spin-dependent forces mediated by new bosons: Potentials in the coordinate-space representation for macroscopic- and atomic-scale experiments
  📝 Phys. Rev. A 99, 022113 (2019), [arXiv:1810.10364]
• F. Ficek, D. Budker, Constraining exotic interactions
  📝 Ann. Phys. 531, 1800273 (2019), [arXiv:1808.01233]
• P. Bizoń, O. Evnin, F. Ficek, A nonrelativistic limit for AdS perturbations
  📝 J. High Energy Phys. 12, 113 (2018), [arXiv:1810.10574]
• F. Ficek, P. Fadeev, V. V. Flambaum, D. F. Jackson Kimball, M. G. Kozlov, Y. V. Stadnik, D. Budker, Constraints on exotic spin-dependent interactions between matter and antimatter from antiprotonic helium spectroscopy
  📝 Phys. Rev. Lett. 120, 183002 (2018), Supplemental Material, [arXiv:1801.00491]
• F. Ficek, P. Mach, Planar domain walls in black hole spacetimes
  📝 Phys. Rev. D 97, 044012 (2018), [arXiv:1712.06202]
• F. Ficek, D. F. Jackson Kimball, M. Kozlov, N. Leefer, S. Pustelny, D. Budker, Constraints on exotic spin-dependent interactions between electrons from helium fine-structure spectroscopy
  📝 Phys. Rev. A 95, 032505 (2017), [arXiv:1608.05779]
• F. Ficek, Bondi-type accretion in the Reissner-Nordström-(anti-)de Sitter spacetime
  📝 Class. Quantum Grav. 32, 235008 (2015), [arXiv:1509.07005]

Proceedings

• F. Ficek, M. Maliborski, Instability mechanisms on asymptotically AdS black hole backgrounds
  Accepted for publication in Journal of Physics: Conference Series, [arXiv:2508.20483]
• F. Ficek, M. Maliborski, Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder
  Accepted for publication in Journal of Physics: Conference Series, [arXiv:2508.19717]
• F. Ficek, Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions
  📝 Archivum Mathematicum 59, p. 31-38 (2023), [arXiv:2210.14014]
• F. Ficek, M. Rutkowski, W. Kluźniak, Evolutionary tracks of millisecond pulsars with low-mass companions
  📝 Proceedings of RAGtime 14/15/16, [arXiv:1503.05859]

Talks

• Instability of nonlinear scalar field on nearly extremal RNAdS background
  Ligthning Talk at Extremal Black Holes and the Third Law of Black Hole Thermodynamics Program, Institute for Computational and Experimental Research in Mathematics, Providence, 05-09.01.2026
• Time-periodic solutions to the cubic wave equation
  Partial Differential Equations and Mathematical Physics Seminar, University of Vienna, 06.11.2025
• Instability of nonlinear scalar field on asymptotically AdS black hole backgrounds
  The 10th Conference of the Polish Society on Relativity, Wrocław, 21-25.07.2025
• Instability of nonlinear scalar field on asymptotically AdS black hole backgrounds
  24th International Conference on General Relativity and Gravitation, Glasgow, 14-18.07.2025
• Time-periodic solutions to the 1D cubic wave equation
  Gravitational Physics Group Seminar, University of Vienna, 18.06.2025
• Complex structure of time-periodic solutions to nonlinear wave equations
  General Relativity and Astrophysics Seminar, Jagiellonian University, Kraków, 02.04.2025
• Time-periodic solutions to cubic wave equation
  Partial Differential Equations Seminar, Jagiellonian University, Kraków, 01.04.2025
• Bifurcation structure of time-periodic solutions to nonlinear wave equations
  Conference on Mathematics of Wave Phenomena 2025, Karlsruhe, 24-28.02.2025
• Time-periodic solutions to nonlinear wave equations
  Seminar on Mathematical General Relativity, Sorbonne Université, Paris, 19.12.2024
• Dynamics of conformal cubic scalar field in asymptotically-AdS black hole spacetimes
  64. Cracow School of Theoretical Physics, Zakopane, 15-23.06.2024
• Dynamics of conformal scalar field in asymptotically-AdS black hole spacetimes
  Nonlinear Waves and Relativity Thematic Programme, Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, 22.05.2024
• Dynamics of conformal scalar field in asymptotically-AdS black hole spacetimes
  General Relativity and Astrophysics Seminar, Jagiellonian University, Kraków, 10.04.2024
• Dynamics of nonlinear scalar field with Robin boundary condition on the Schwarzschild-Anti-de Sitter background
  DPG Spring Meeting, Gießen, 11-15.03.2024
• Quasinormal modes for Reissner-Nordström-anti-de Sitter black holes
  The 9th Conference of the Polish Society on Relativity, Kraków, 18-22.09.2023
• Quasinormal modes of extremal Reissner-Nordström-anti-de Sitter black holes
  13th Central European Relativity Seminar, Stockholm, 03-05.05.2023
• Toy-model for quasinormal modes of extremal black holes
  The 8th Conference of the Polish Society on Relativity, Warszawa, 18-23.09.2022
• Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions
  Equadiff 15, Brno, 11-15.07.2022
• Nonlinear Schrödinger equations with trapping potentials in higher dimensions
  Mathematical Physics Seminar, University of Cambridge, 10.05.2022
• The Schrödinger-Newton-Hooke equation - existence and stability of the bound states
  12th Central European Relativity Seminar, Budapest (Zoom), 21-23.02.2022
• Nonlinear elliptic problems with trapping in supercritical dimensions
  General Relativity and Astrophysics Seminar, Jagiellonian University, Kraków, 10.11.2021
• Spherically symmetric stationary solutions of nonlinear Schrödinger equations - existence and uniqueness
  Differential Equations Seminar, Jagiellonian University, Kraków, 22.10.2021
• A nonrelativistic limit for Anti-de Sitter spacetime perturbations
  The 7th Conference of the Polish Society on Relativity, Łódź, 20-23.09.2021
• Nonrelativistic limit of AdS perturbations in higher dimensions
  General Relativity and Astrophysics Seminar, Jagiellonian University, Kraków, 17.03.2021
• Stability of stationary solutions of nonlinear Schrödinger equations in supercritcal dimensions
  11th Central European Relativity Seminar, Vienna (Zoom), 11-13.02.2021
• Constraining exotic interactions
  Atomic Physics Seminar, Nicolaus Copernicus University in Toruń, 28.02.2020
• Ground states of spatially confined nonlinear Schrödinger equations in supercritical dimensions
  10th Central European Relativity Seminar, Potsdam, 20-22.02.2020
• The Schrödinger-Newton-Hooke equation in higher spatial dimensions
  Applied and Industrial Mathematical Sciences Lab Seminar, McMaster University, Hamilton, 11.11.2019
• The Schrödinger-Newton-Hooke equation - a nonrelativistic limit for Anti-de Sitter spacetime perturbations
  22nd International Conference on General Relativity and Gravitation, Valencia, 7-12.07.2019
• The Schrödinger-Newton-Hooke equation - a nonrelativistic limit for Anti-de Sitter spacetime perturbations
  59. Cracow School of Theoretical Physics, Zakopane, 14-22.06.2019
• The Schrödinger-Newton-Hooke equation
  9th Central European Relativity Seminar, Kraków, 14-16.02.2019
• Constraining
  Photonics Seminar, Jagiellonian University, Kraków, 03.12.2018
• Planar domain walls in Kerr spacetime
  The 28th Workshop on General Relativity and Gravitation in Japan, Tokyo, 5-9.11.2018
• Constraints on exotic spin-dependent interactions between matter and antimatter from antiprotonic helium spectroscopy
  International Conference on Precision Physics of Simple Atomic Systems - PSAS'2018, Vienna, 14-18.05.2018
• Weak field dynamics in the Schrödinger-Poisson system with a harmonic potential
  8th Central European Relativity Seminar, Brno, 15-17.02.2018
• Transits of domain walls through black holes
  General Relativity and Astrophysics Seminar, Jagiellonian University, Kraków, 08.11.2017
• Domain walls in curved spacetimes
  The 4th Conference of the Polish Society on Relativity, Kazimierz Dolny, 24-28.09.2017
• Constraints on exotic interactions coming from the helium fine structure
  International Conference on Precision Physics and Fundamental Physical Constants, Warszawa, 15-19.05.2017
• Accretion onto almost Kerr-de Sitter black holes
  7th Central European Relativity Seminar, Bremen, 16-18.02.2017
• Constraints on exotic interactions coming from the helium fine structure
  International Conference on Precision Physics of Simple Atomic Systems PSAS'2016, Jerusalem, 22-27.05.2016

Posters

• 🪧 Dynamics of nonlinear scalar field with Robin BC in SAdS and RNAdS
  Black Holes Inside and Out, Copenhagen, 26-30.08.2024
• 🪧 Stationary states of nonlinear Schrödinger equations with trapping potentials in supercritical dimensions
  Recent trends in nonlinear and dispersive equations: equilibria, stability, dynamics, Będlewo, 01-07.05.2022
• 🪧 Weak field dynamics of Schrödinger-Newton-Hooke equation
  The 5th Conference of the Polish Society on Relativity, Wojanów, 24-27.09.2018

Longer visits

• spring 2022, University of Cambridge
• fall 2019, Mittag-Leffler Institute, Stockholm
• summer 2015, The Johannes Gutenberg University, Mainz

Outreach

• 🇬🇧 Lecture for the Kharkiv-Vienna International Science School: How to avoid complex calculations, YouTube
• 🇵🇱 Wykład dla uczestników obozu astronomicznego Almukantarat: Promieniowanie ciała doskonale czarnego, YouTube
• 🇵🇱 Artykuł Kosmiczne ściany domenowe, Foton 143, Zima 2018
• 🇵🇱 Wykład w ramach Naukowych Czwartków: Jak policzyć, ale się nie naliczyć?, YouTube