Publications

Characteristic approach to the soliton resolution, arXiv:2112.11249, (with B. Cownden and M. Maliborski)
Sine-Gordon on a wormhole, Nonlinearity 34, 5520-5537 (2021) (with M. Dunajski, M. Kahl, and M. Kowalczyk)
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential, Nonlinear Analysis 210, 112358 (2021) (with F. Ficek, D. Pelinovsky, and S. Sobieszek)
Dynamics at the threshold for blowup for supercritical wave equations outside a ball, Nonlinearity 33, 3195 (2020) (with M. Maliborski)
AdS Robin solitons and their stability, Class. Quantum Grav. 37, 105010 (2020) (with D. Hunik-Kostyra and M. Maliborski)
A toy model of hyperboloidal approach to quasinormal modes, Acta Phys. Pol. B 51, 1007 (2020) (with T. Chmaj and P. Mach)
Stationary states of the cubic conformal flow on $S^3$, Discrete Continuous Dynamical Systems A 40, 1-32 (2020) (with D. Hunik-Kostyra and D.E. Pelinovsky)
Vacuum initial data on $S^3$ from Killing vectors, Class. Quantum Grav. 36, 215017 (2019) (with R. Beig and W. Simon)
Complex plane representations and stationary states in cubic and quintic resonant systems, J. Physics A 52, 435201 (2019) (with A. Biasi and O. Evnin)
Solvable cubic resonant systems, Commun. Math. Phys. 369, 433–456 (2019) (with A. Biasi and O. Evnin)
Ground state of the conformal flow on $S^3$, Comm. Pure Appl. Math. 72, 1123-1151 (2019) (with D. Hunik-Kostyra and D. Pelinovsky)
A nonrelativistic limit for AdS perturbations, JHEP 12 (2018) 113 (2018) (with O. Evnin and F. Ficek)
Two infinite families of resonant solutions for the Gross-Pitaevskii equation, Phys. Rev. E 98, 032222 (2018) (with A. Biasi, B. Craps, and O. Evnin)
Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates, Phys. Rev. A 96, 053615 (2017) (with A. Biasi, B. Craps, and O. Evnin)
Gravitational turbulent instability of AdS$_5$, Acta Physica Polonica B 48, 1375 (2017) (with A. Rostworowski)
Conformal flow on $S^3$ and weak field integrability in AdS$_4$, Comm. Math. Phys. 353, 1179 (2017) (with B. Craps, O. Evnin, D. Hunik, V. Luyten, and M. Maliborski)
Threshold for blowup for equivariant wave maps in higher dimensions, Nonlinearity 30, 4 (2017) (with P. Biernat and M. Maliborski)
Global dynamics of a Yang-Mills field on an asymptotically hyperbolic space, Trans. Amer. Math. Soc. 369, 2029 (2017) (with P. Mach)
A Yang-Mills field on the extremal Reissner-Nordström black hole, Class. Quantum Grav. 33, 175013 (2016) (with M. Kahl)
Initial data for rotating cosmologies, Class. Quantum Grav. 32, 175015 (2015) (with S. Pletka and W. Simon)
Wave maps on a wormhole, Phys. Rev. D 91, 065003 (2015) (with M. Kahl)
Resonant dynamics and the instability of anti-de Sitter spacetime, Phys. Rev. Lett. 115, 081103 (2015) (with M. Maliborski and A. Rostworowski)
Comment on "Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam paradox", Phys. Rev. Lett. 115, 049101 (2015) (with A. Rostworowski)
Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions, Comm. Math. Phys. 338, 1443 (2015) (with P. Biernat)
Nonexistence of shrinkers for the harmonic map flow in higher dimensions, Int. Math. Res. Notices 17, 7757 (2015) (with A. Wasserman)
Is AdS stable?, Gen. Rel. Grav. 46, 1724 (2014)
A remark about wave equations on the extreme Reissner-Nordström black hole exterior, Class. Quantum Grav. 30, 065001 (2013) (with H. Friedrich)
Globally Regular Instability of 3-Dimensional Anti-De Sitter Spacetime, Phys. Rev. Lett. 111, 041102 (2013) (with J. Jałmużna)
Equivariant wave maps exterior to a ball, Nonlinearity 25, 1299 (2012) (with T. Chmaj and M. Maliborski)
AdS collapse of a scalar field in higher dimensions, Phys. Rev. D 84, 085021 (2011) (with J. Jałmużna and A. Rostworowski)
Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation, J. Math. Phys. 52, 103703 (2011) (with T. Chmaj and N. Szpak)
Weakly Turbulent Instability of Anti-de Sitter Spacetime, Phys. Rev. Lett. 107, 031102 (2011) (with A. Rostworowski)
Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres, Nonlinearity 24, 2211 (2011) (with P. Biernat)
Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime, Class. Quantum Grav. 27, 175003 (2010) (with A. Rostworowski and A. Zenginoglu)
Remark on non-existence of self-similar solutions in 4+1 vacuum gravitational collapse, Class. Quantum Grav. 27, 122001 (2010) (with A. Wasserman)
A note about late-time wave tails on a dynamical background, Phys. Rev. D 81, 084047 (2010) (with A. Rostworowski)
Self-similar solutions of the cubic wave equation, Nonlinearity 23, 225 (2010) (with P. Breitenlohner, D. Maison, and A. Wasserman)
Late-time tails of wave maps coupled to gravity, Class. Quantum Grav. 26, 225015 (2009) (with T. Chmaj, A. Rostworowski, and S. Zajac)
Late-time tails of a self-gravitating massless scalar field, revisited, Class. Quantum Grav. 26, 175006 (2009) (with T. Chmaj and A. Rostworowski)
Universality of global dynamics for the cubic wave equation, Nonlinearity 22, 2473 (2009) (with A. Zenginoglu)
Linear and nonlinear tails II: exact decay rates in spherical symmetry, J. Hyperbolic Diff. Equations 6, 107 (2009) (with N. Szpak, T. Chmaj, and A. Rostworowski)
A note on late-time tails of spherical nonlinear waves, Phys. Rev. D 78, 024044 (2008) (with T. Chmaj, and A. Rostworowski)
Huygens' principle and anomalously small radiation tails, Acta Phys. Polonica B (Proceedings Supplement) vol. 1, 1 (2008)
Anomalously small wave tails in higher dimensions, Phys. Rev. D 76, 124035 (2007) (with T. Chmaj and A. Rostworowski)
Gravitational solitons and the squashed seven-sphere, Class. Quantum Grav. 24, 4751 (2007) (with T. Chmaj, G.W. Gibbons, and C.N. Pope)
Self-similar solutions of semilinear wave equations with a focusing nonlinearity, Nonlinearity 20, 2061 (2007) (with D. Maison and A. Wasserman)
Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds, Classical Quant. Grav. 24, F55 (2007) (with T. Chmaj and A. Rostworowski)
Asymptotic stability of the Skyrmion, Phys. Rev. D 75, 121702(R) (2007) (with T. Chmaj and A. Rostworowski)
Codimension-two critical behavior in vacuum gravitational collapse, Phys. Rev. Lett. 97, 131101 (2006) (with T. Chmaj and B. Schmidt)
How to bypass Birkhoff through extra dimensions, Int. J. Mod. Phys. D 15, 2217 (2006) (with B. G. Schmidt)
Nonlinear perturbations of the Kaluza-Klein monopole, Phys. Rev. Lett. 96, 231103 (2006) (with T. Chmaj and G. Gibbons)
Bifurcation and fine structure phenomena in critical collapse of a self-gravitating $\sigma$-field, Class. Quantum Grav. 23, S299 (2006) (with P. Aichelburg, Z. Tabor)
Vacuum gravitational collapse in nine dimensions, Phys. Rev. D 72, 121502 (2005) (with T. Chmaj, A. Rostworowski, B. Schmidt, and Z. Tabor)
Critical behavior in vacuum gravitational collapse in 4 + 1 dimensions, Phys. Rev. Lett. 95, 071102 (2005) (with T. Chmaj and B. G. Schmidt)
On convergence towards a self-similar solution for a nonlinear wave equation, Phys. Rev. D 72, 045013 (2005) (with T. Chmaj)
An unusual eigenvalue problem, Acta Phys. Polon. B 36, 5 (2005)
A note on the nonexistence of $\sigma$-model solitons in the 2+1 AdS gravity, Phys. Rev. D 71, 108701 (2005) (with A. Wasserman)
On blowup for semilinear wave equations with a focusing nonlinearity, Nonlinearity 17, 2187 (2004) (with T. Chmaj and Z. Tabor)
Periodic self-similar wave maps coupled to gravity, Phys. Rev. D 69, 064014 (2004) (with S. Szybka, A. Wasserman)
Collapse of an instanton, Nonlinearity 17, 1179 (2004) (with Yu. Ovchinnikov and M.I. Sigal)
Formation of singularities in Yang-Mills equations, Acta Phys. Polonica B 33, 1893 (2002)
On existence of self-similar wave maps coupled to gravity, Class. Quantum Grav. 19, 3309 (2002) (with A. Wasserman)
On blowup of Yang-Mills fields, Phys. Rev. D 64, 121701 (2001) (with Z. Tabor)
Formation of singularities for equivariant 2+1 dimensional wave maps into the 2-sphere, Nonlinearity 14, 1041 (2001) (with T. Chmaj and Z. Tabor)
Threshold behavior for nonlinear wave equations, J. Nonlinear Math. Physics 8, 35 (2001)
Self-similar spherically symmetric wave maps coupled to gravity, Phys. Rev. D 62, 084031 (2000) (with A. Wasserman)
On existence of mini-boson stars, Comm. Math. Phys. 215, 357 (2000) (with A. Wasserman)
Dispersion and collapse of wave maps, Nonlinearity 13, 1411 (2000) (with T. Chmaj and Z. Tabor)
Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere, Comm. Math. Phys. 215, 45 (2000)
Remark on the formation of colored black holes via fine-tuning, Phys. Rev. D 61, 067501 (2000) (with T. Chmaj)
On equivalence of critical collapse of non-Abelian fields, Phys. Rev. D 59, 104003 (1999) (with T. Chmaj and Z. Tabor)
Formation and critical collapse of skyrmions, Phys. Rev. D 58, 041501 (1998) (with T. Chmaj)
First order phase transitions in gravitational collapse, Acta Phys. Polonica B 29, 1071 (1998) (with T. Chmaj)
Harmonic maps between spheres, Proc. Roy. Soc. Lond. A453, 403 (1997) (with T. Chmaj)
How to make a tiny black hole?, Acta Cosmologica 22, 81 (1996)
Critical behaviour in gravitational collapse of a Yang-Mills field, Phys. Rev. Lett. 77, 424 (1996) (with M. Choptuik and T. Chmaj)
Harmonic maps between 3-spheres, Proc. Roy. Soc. Lond. A 451, 779 (1995)
Gravitating solitons and hairy black holes, Acta Phys. Polonica B 25, 877 (1994)
Saddle points of stringy actions, Acta Phys. Polonica B 24, 1209 (1993)
Magnetically charged black holes and their stability, Phys. Rev. D 48, 607 (1993) (with P. Aichelburg)
Saddle-point solutions in Yang-Mills-dilaton theory, Phys. Rev. D 47, 1656 (1993)
Gravitating skyrmions, Phys. Lett. B297, 55 (1992) (with T. Chmaj)
No-hair theorem for monopoles and dyons in Einstein-SU(2)-Yang-Mills theory, Class. Quantum Gravity 9, 193 (1992) (with O. Popp)
The n=1 colored black hole is unstable, Phys. Lett. B267, 173 (1991) (with R.M. Wald)
Stability of Einstein-Yang-Mills black holes, Phys. Lett. B259, 53 (1991)
Colored black holes, Phys. Rev. Lett. 64, 2844 (1990)
Binding energy for spherical stars, Class. Quantum Gravity 7, 1953 (1990) (with E. Malec and N. O'Murchadha)
Ellipsoidal configurations with apparent horizon, Phys. Rev. D40, 2559 (1989) (with E. Malec)
Trapped surfaces due to concentration of matter, Class. Quantum Grav. 6, 961 (1989) (with E. Malec and N. O'Murchadha)
Trapped surfaces in spherical stars, Phys. Rev. Lett. 61, 1147 (1988) (with E. Malec and N. O'Murchadha)
On Witten's positive energy proof for weakly asymptotically flat spacetimes, Class. Quantum Grav. 3, L123 (1986) (with E. Malec)
On total angular momentum for asymptotically flat spacetimes with non-vanishing matter sources at spatial infinity, Class. Quantum Grav. 2, L125 (1985)
A note on Lorentz transformation properties of global conserved charges, Phys. Lett. A104, 257 (1984)
Total action of the electromagnetic field containing the infrared part, Acta Phys. Polonica B 15, 667 (1984)