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
Währinger Straße 17
1090 Vienna, Austria
Room 603

Research interests

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

Preprints

• F. Ficek, M. Maliborski, New class of time-periodic solutions to the 1D cubic wave equation
  [arXiv:2506.10839]
• F. Ficek, M. Maliborski, Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on S³
  [arXiv:2504.10513]
• L. Cong, F. Ficek, P. Fadeev, Y. V. Stadnik, D. Budker, Searching for exotic interactions between antimatter
  [arXiv:2503.07161]
• L. Cong, F. Ficek, P. Fadeev, D. Budker, Improved constraints on exotic interactions between electron and proton in hydrogen
  [arXiv:2408.11009]
• F. Ficek, M. Maliborski, Trees, trunks, and branches – bifurcation structure of time-periodic solutions to u_tt–u_xx±u³=0
  [arXiv:2408.05158]

Publications

• 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]
• F. Ficek, Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions
  📝 Archivum Mathematicum 59, p. 31-38 (2023), [arXiv:2210.14014]
• 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. (Berlin) 1800273, [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]
• 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

• 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, 02.04.2025
• Time-periodic solutions to cubic wave equation
  Partial Differential Equations Seminar, Jagiellonian University, 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, 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, 22.05.2024
• Dynamics of conformal scalar field in asymptotically-AdS black hole spacetimes
  General Relativity and Astrophysics Seminar, Jagiellonian University, 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, 10.11.2021
• Spherically symmetric stationary solutions of nonlinear Schrödinger equations - existence and uniqueness
  Differential Equations Seminar, Jagiellonian University, 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, 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, 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, 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, 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, Warsaw, 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