Tomek Bartoszynski
Encyclopedia
Tomek Bartoszyński is a Polish
-American mathematician who works in set theory
.
He is the son of statistician Robert Bartoszynski.
from 1976 to 1981, and worked there from 1981 to 1987. In 1984 he defended his Ph.D. thesis Combinatorial aspects of measure and category; his advisor was Wojciech Guzicki. In 2004 he received his habilitation from the Polish Academy of Sciences
.
From 1986 on he worked in the United States: he taught at University of California
in Berkeley and Davis. From 1990 to 2006 he was professor (full professor from 1998 on) at Boise State University
. In 1990/91 he visited the Hebrew University of Jerusalem as a fellow of the Lady Davis foundation, and in 1996/97 he visited the Free University of Berlin
as a Humboldt fellow
.
Currently (2008) he is one of the program directors at the National Science Foundation
(NSF), responsible for "Algebra, Number Theory, Combinatorics and Foundations".
His wife Joanna Kania-Bartoszyńska is the NSF program director for topology and geometric analysis.
. He has written about 50 papers in this field, as well as a monograph:
Poland
Poland , officially the Republic of Poland , is a country in Central Europe bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine, Belarus and Lithuania to the east; and the Baltic Sea and Kaliningrad Oblast, a Russian exclave, to the north...
-American mathematician who works in set theory
Set theory
Set theory is the branch of mathematics that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics...
.
He is the son of statistician Robert Bartoszynski.
Biography
Bartoszyński studied mathematics at the University of WarsawUniversity of Warsaw
The University of Warsaw is the largest university in Poland and one of the most prestigious, ranked as best Polish university in 2010 and 2011...
from 1976 to 1981, and worked there from 1981 to 1987. In 1984 he defended his Ph.D. thesis Combinatorial aspects of measure and category; his advisor was Wojciech Guzicki. In 2004 he received his habilitation from the Polish Academy of Sciences
Polish Academy of Sciences
The Polish Academy of Sciences, headquartered in Warsaw, is one of two Polish institutions having the nature of an academy of sciences.-History:...
.
From 1986 on he worked in the United States: he taught at University of California
University of California
The University of California is a public university system in the U.S. state of California. Under the California Master Plan for Higher Education, the University of California is a part of the state's three-tier public higher education system, which also includes the California State University...
in Berkeley and Davis. From 1990 to 2006 he was professor (full professor from 1998 on) at Boise State University
Boise State University
Boise State University is a public university located in Boise, Idaho. Originally founded in 1932 as a junior college by the Episcopal Church, the university became an independent institution in 1934, and has been awarding baccalaureate and master degrees since 1965...
. In 1990/91 he visited the Hebrew University of Jerusalem as a fellow of the Lady Davis foundation, and in 1996/97 he visited the Free University of Berlin
Free University of Berlin
Freie Universität Berlin is one of the leading and most prestigious research universities in Germany and continental Europe. It distinguishes itself through its modern and international character. It is the largest of the four universities in Berlin. Research at the university is focused on the...
as a Humboldt fellow
Alexander von Humboldt Foundation
The Alexander von Humboldt Foundation is a foundation set-up by the government of the Federal Republic and funded by the German Foreign Office, the Ministry of Education and Research, the Ministry of Economic Cooperation and Development and others for the promotion of international co-operation...
.
Currently (2008) he is one of the program directors at the National Science Foundation
National Science Foundation
The National Science Foundation is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health...
(NSF), responsible for "Algebra, Number Theory, Combinatorics and Foundations".
His wife Joanna Kania-Bartoszyńska is the NSF program director for topology and geometric analysis.
Scientific work
Bartoszyński's work is mainly concerned with forcing, specifically with applications of forcing to the set theory of the real lineSet theory of the real line
Set theory of the real line is an area of mathematics concerned with the application of set theory to aspects of the real numbers.For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size of a setwhich is not...
. He has written about 50 papers in this field, as well as a monograph:
- Tomek Bartoszyński and Haim Judah: Set theory. On the structure of the real line. A K Peters, Ltd., Wellesley, MA, 1995. xii+546 pp. ISBN 1-56881-044-X