Piotr Koszmider mail: piotr.koszmider@impan.pl

moje zdjęcie My name is Piotr Koszmider, since the second semester of 2010/11 I have been working at the Mathematical Institute of the Polish of Academy of Sciences. I was born in ŁódŸ where I graduated from XXXI LO High School in 1983. After graduating from University of Warsaw in 1988. I left Poland and since then I had been working abroad (Canada, Israel, USA, Brasil). In 2007 I came back to Poland.

  What I do
  • create concepts which help me to discover new mathematical truths,
  • publish the results of these discoveries in international mathematical journals or as chapters of books. Before that, they circulate as preprints
  • do research projects which are financed by governmental agencies
  • supervise master's dissertations
  • supervise Ph. D. Theses
  • do projects with undergraduate students
  • have classes with graduate students
  • have classes with undergraduate students
  • organize conferences
  • participate in conferences
  • visit other mathematical centers and present my work there and collaborate
  • receive visits to collaborate with mathematicians of other centers

   Research Interests
  • Set-theoretic methods in C*-algebras, especially nonseparable approximatelly finite-dimensional algebras, scattered C*-algebras, the Calkin algebra.
  • Set-theoretic methods in Banach spaces and the algebras of operators acting on them, especially Banach spaces of continuous functions In particular I am interested in the structure of complemented subspaces, biorthogonal systems, and linear operators. I use mainly infinitary methods, sometimes forcing.
  • Applications of forcing.
  • Combinatorial set theory, among others, combinatorial principles which hold in L, and principles which follow from the existence of large cardinals
  • Boolean algebras and compact spaces via the Stone duality in the contet of functional analysis. In particular, cardinal functions on Boolean algebras. Dual balls with weak* topology. Radon measures on compact spaces as linear functionals on the spaces of continuous functions considered with weak* or weak topology.
  • Independence and consistency proofs. Undecidability of interesting analytic, algebraic or topological problems

  Education and Employment
  • 1988 Warsaw University. Master of Arts in Mathematics. Specialization - Theoretical Mathematics.
  • 1992 University of Toronto. Ph. D. in Mathematics.
  • 1993 Postdoc NSERC - York University, Toronto, Canada.
  • 1994 Postdoc NSERC - Hebrew University of Jerusalem, Jerusalem, Israel.
  • 1994-97 Assistant Professor - Auburn University, Auburn, Alabama, USA
  • 1998 Visiting Professor - Ohio University, Athens, Ohio, USA
  • 1998-1999 Professor Doutor - Universidade de São Paulo, São Paulo, Brasil
  • Habilitation at the Universidade de São Paulo
  • 07. 2001 Mâitre de Conferencés. Université Paris VII, Paris, France
  • 08-11. 2002 Long Term Senior Visitor. Fields Institute. Toronto, Canada.
  • 1999-2006 Professor Associado - Universidade de São Paulo, São Paulo, Brasil
  • 2006 Habilitation at the Institute of Mathematics of Polish Academy of Sciences
  • 02-07. 2009 Visiting Professor - Universidad de Granada, Spain
  • 2007 - 2011 Professor (extraordinary), Technical University of Lodz, ŁódŸ
  • 2010 - 2013 Professor (extraordinary), Mathematical Institute, Polish Academy of Sciences, Warsaw
  • 2013 - Title of Professor , Mathematical Institute, Polish Academy of Sciences, Warsaw
  • 2013 - Professor (ordinary/full), Mathematical Institute, Polish Academy of Sciences, Warsaw