My Research Interests

Perhaps the best way to describe my professional interests is to show you the list of my papers (with links to abstracts and PDF/PostScript files). But for some strange reasons I feel that you are not happy with this way of presenting my research...

First of all, I am a Mathematician. I always claim that Mathematics is an Art and I perceive myself as an Artist. In particular, Beauty is my primary motivation to think about this or read about that. Of course, the very notion of beauty is undefinable and different persons have different ideas about what is beautiful and what is not. (After all, de gustibus non est disputandum.) Therefore I will not be surprised if you tell me that you see no beauty in what I am doing, but please tolerate my possible disinterest in your "beautiful stuff".

Mathematics today is HUGE. (I do not think that there is any mathematician who is really familiar with all of it.) So, being just a human being, I have to make some choices and following my heart and private sense of beauty concentrate on small pieces of mathematics.

Most of my energy and time is invested in questions from the area of Forcing. In 2000 Mathematics Subject Classification these are

03E35 Consistency and independence results
03E40 Other aspects of forcing and Boolean-valued models

Of course

03E50 Continuum hypothesis and Martin's axiom

is very close too. As a matter of fact I find all subareas of Set Theory of great interest and I would love to know and understand everything that is included in

03Exx Set theory

I have a special weakness for Set Theory of the Reals, this must be a Polish thing, I guess. But this makes me interested also in various aspects of Analysis specifically in easier parts of

26-xx Real functions
28-xx Measure and integration

Of course any Set Theorist must be involved in Topology, as a matter of fact I do not even think about General Topology as separate from Set Theory... So yes, I should add at least

54-xx General topology

Being around Shelah for long time I learned to appreciate Model Theory and Algebra. And when I write this I do not just mean

06-xx Order, lattices, ordered algebraic structures

which obviously should be a part of Set Theory.... (And yes, Boolean Algebras were at some moment the central theme of my projects.)

My tastes and preferences where shaped by places I visited and people I met. So you may want to look at a somewhat systematic treatment of my professional history in my Curriculum Vitae and then also in my Professional History Page.

Andrzej Roslanowski

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Last modified: Thu Oct 14 17:48:04 CDT 2004