Ph.
D.:* Univ. of Warsaw 1983, *Habilitacja:* Institute of
Mathematics PAN 1990, *Professor:* 2003.*

My field of research is *gravitation*
and* general theory of relativity*. I am interested in phenomena
predicted by this theory like* black holes* and *gravitational
waves* and also in the ways of testing these predictions.

Presently my scientific work is focused on
theoretical and practical aspects of analysis of data from
gravitational-wave detectors. Ground-based detectors of gravitational
waves are currently working in Germany, France, Italy, Japan, and the
USA. NASA and the European Space Agency are planning to put a
gravitational wave detector (__LISA
project__) in an orbit around the
Sun. Detection of gravitational waves will be a final confirmation of
Einstein’s theory of gravity and will open a new window on the
Universe. My main interest is detection of very weak, quasi-periodic
signals in large parameter spaces. Currently, using
our theoretical methods and algorithms, I am leading a team that
__analyses
data__ from
Italian __NAUTILUS__
resonant bar detector. Analysis is performed on a large network of
computers. My another significant project is to study theoretical
methods and develop data analysis tools to analyse the gravitation
wave signal originating from superposition of many signals from
binary systems in our Galaxy. This is the dominant gravitational
wave signal that will be present in the data of a space-borne
detector LISA. I have demonstrated that this signal constitues __a
cyclostationary random process__.

Statistical methods to
analyse gravitational wave data are presented in an article published
by myself and Piotr Jaranowski in an online journal - __Living
Reviews in relativity__.

In the past I haved studied
black holes and space-time singularities using methods of
differential topology and geometry developed by Geroch, Hawking in
Penrose. In particular I have worked on *cosmic censorship
hypothesis* put forward by Roger Penrose in 1969. The hypothesis
asserts that the final state of gravitational collapse is always a
black hole: space-time singularity clothed by an event horizon. In
the language of Lorentzian geometry, space-time satisfies Penrose’s
hypothesis if it is *globally hyperbolic*.

In September 2003 I
organized an international conference in the Banach International
Mathematical Center entitled **Mathematics of Gravitationa II**.
The proceedings of the conference are available __on
line__. In
September 2006 I am organizing a *working group* in the Banach
Center to review statistical and numerical methods used in our
analysis of graviational wave data from the NAUTILUS detector.

I have strong collaborative
links with __Max
Planck Institute for Gravitational Physics__
in Germany and a NASA institute - __Jet
Propulsion Laboratory__
in USA.

I am a member of *American
Mathematical Society** (AMS)*,
of *Polish
Mathematical Society** (PTM)*,
and of *Institute
of Electrical and Electronics Engineers**
(IEEE)*.

I am the director of
__Fundacja
Rozwoju Matematyki Polskiej__
(Foundation for Development of Polish Mathematics).

1.
C. J. S. Clarke and **A. Królak**, *Conditions
for the occurrence of strong curvature singularities*, Journal of
Geometry and Physics, Vol. 12 (1985), 127.

2.
**A. Królak**, *Towards the proof of the cosmic
censorship hypothesis* , Classical and Quantum Gravity Vol.3
(1986), 267.

3.
**A. Królak** and B. F. Schutz, *Coalescing binaries -
probe to the Universe*, General Relativity and Gravitation, Vol.
19 (1987), 1163. (Second Prize by Gravity Research Foundation, Ma,
USA).

4.
P. Jaranowski and **A. Królak**, *Optimal solution of
the inverse problem for the gravitational wave signal of a coalescing
compact binary*, Phys. Rev. D49 (1994) 1723.

5.
P. Jaranowski, **A. Królak**, and B. F. Schutz, *Data
analysis of gravitational-wave signals from pulsars. I. The signal
and its detection*, Phys. Rev. D58 (1998) 063001.

6.
P. Jaranowski and **A. Królak**, *Data analysis of
gravitational-wave signals from pulsars*.*II. Accuracy of
estimation of parameters*, Physical Review D59 (1999) 063003.

7.
P. Jaranowski and **A. Królak***, Data analysis of
gravitational-wave signals from pulsars. III. Detection statistics
and computational requirements*, Physical Review D61 (2000)
062001.

8.
P. Astone, K. Borkowski, P. Jaranowski and **A. Królak, ***Data
analysis of gravitational-wave signals from spinning neutron stars.
IV. An all-sky search*, Physical Review D65 (2002) 042003.

9.
R. Budzyński, W. Kondracki, and **A. Królak**, *New
properties of Cauchy and event horizons*, Nonlinear Analysis Vol.
47 (2001) 2983.

10.
**A. Królak**, *Cosmic Censorship Hypothesis*,
Contemporary Mathematics, Vol.359 (2004) 51.

11**.
A. Królak**, M. Vallisneri, and M. Tinto, *Optimal
filtering of the LISA data*, Physical Review D70 (2004) 022003.

12.
P. Jaranowski and **A. Królak**, *Gravitational Wave Data
Analysis: Formalism and Applications*, Living Reviews, __lrr-2005-3,
2005__.

13.
J. Edlund, M. Tinto, **A. Królak**, and G. Nelemans, *The
White Dwarf - White Dwarf galactic background in the LISA data*,
Phys. Rev. D71 (2005) 122003.