__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 inaugural Heidelberg Laureate Forum: Abel-, Fields- and Turing-Laureates Meet the Next Generation, Heidelberg, Germany, September 2013.

**2014**Selected to participate in and to organise a workshop

*Independence results in Mathematics*at the second Heidelberg Laureate Forum: Abel-, Fields- and Turing-Laureates Meet the Next Generation, Heidelberg, Germany, September 2014.

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,

*Journal of Operator Theory*

**71**, 101-124.

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), 242–243.

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,

*Transactions of the London Mathematical Society*

**1**(2014), 1-28.

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)

arXiv:1303.2606

**10.**Chains of functions in

*C(K)*-spaces, with R.J. Smith (submitted),

arXiv:1310.4035

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

arXiv:1402.4411

**12.**Uniqueness of the maximal ideal of operators on the

*l*-sum of

_{p}*l*(

_{∞}^{n}*n*∈

**N**) for 1 <

*p*< ∞, with N. Laustsen,

arXiv:1405.5715

__In preparation__**13.**Ideal structure of the algebra of bounded operators acting on a Banach space, with N.J. Laustsen, anticipated completion: June 2014

.