__A very short CV__**February - April 2014**Visiting Fellow at the Fields Institute for Research in Mathematical Sciences, Toronto, Canada Thematic Program on Abstract Harmonic Analysis, Banach and Operator Algebras

**2014**Post-doctoral fellowship at the Polish Academy of Sciences in Warsaw.

**2010 - 2013**PhD studies at the Department of Mathematics and Statistics, Lancaster University; supervised by Dr. Niels Jakob Laustsen.

Thesis

*Closed ideals of operators on Banach spaces of continuous functions*defended on 05/11/13 (my examiners were Prof. T Alastair Gillespie and Dr. Graham Jameson).

**2005 - 2010**Integrated MSc studies on

*Pure Mathematics*at University of Silesia in Katowice, Poland. Master's Thesis:

*On the applications of Martin's Axiom*(in Polish); supervised by prof. A. Błaszczyk

**2011**Dean’s Award for Excellence in Postgraduate Studies (First Year Category).

**2012**Dean’s Award for Excellence in Postgraduate Studies (Second Year Category).

**2013**Dean’s Award for Excellence in Postgraduate Studies (Third Year Category).

**2013**Selected to participate in the Heidelberg Laureate Forum: Abel-, Fields- and Turing-Laureates Meet the Next Generation, Heidelberg, Germany, September 2013.

I am a reviewer for Mathematical Reviews and Zentralblatt MATH.

__My research interests include:__C*-algebras and their classification. Set theory in operator algebras;

Banach space theory and, in particular, Banach spaces of continuous functions;

Operator ideals and, in general, left/right/two-sided ideals in Banach algebras;

Set-theoretic and Boolean approach to functional analysis.

__Publications__**1.**Uniqueness of the maximal ideal of the Banach algebra of bounded operators on

*C*([0, ω

_{1}]), with N.J. Laustsen,

*Journal of Functional Analysis*

**262**, Issue 11, (2012), 4831–4850

arXiv:1112.4800

**2.**The ideal of weakly compactly generated operators acting on a Banach space, with T. Kochanek (to appear in

*Journal of Operator Theory*)

arXiv:1206.5424

**3.**A reflexive Banach space whose algebra of operators is not a Grothendieck space,

*Journal of Mathematical Analysis and Applications*,

**401**(2013), 242–24.

arXiv:1211.2867

**4.**A chain condition for operators from

*C(K)*-spaces, with K.P. Hart and T. Kochanek (

*Quarterly Journal of Mathematics*, in press)

arXiv:1211.2770

**5.**Maximal left ideals of operators acting on a Banach space, with H.G. Dales, T. Kochanek, P. Koszmider and N.J. Laustsen,

*Studia Mathematica*,

**218**, Issue 3, (2013), 245–286.

arXiv:1208.4762

**6.**A weak*-topological dichotomy with applications in operator theory, with P. Koszmider and N. Laustsen, accepted to

*Transactions of the London Mathematical Society*

arXiv:1303.0020

**7.**Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals, with N. Laustsen, to appear in

*Proceedings of the American Mathematical Society*

arXiv:1304.4951

**8.**A short proof of the fact that the matrix trace is the expectation of the numerical values, to appear in

*The American Mathematical Monthly*

arXiv:1402.4272

**9.**Banach spaces whose algebra of bounded operators has the integers as their

*K*

_{0}-group, with P. Koszmider and N. Laustsen (submitted 17/04/13)

arXiv:1303.2606

**10.**A note on compact spaces having the Bishop property, with R.J. Smith,

arXiv:1310.4035

**11.**Finite generation in C*-algebras and Hilbert C*-modules, with D. Blecher (submitted 18/01/14)

arXiv:1402.4411

__In preparation__**12.**Ideal structure of the algebra of bounded operators acting on a Banach space, with N.J. Laustsen, anticipated completion: March 2014

.