Tomek Bartoszyński
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Tomek Bartoszyński (born May 16, 1957 as ''Tomasz Bartoszyński'' in
Warsaw Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is official ...
) is a
Polish Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwr ...
-American mathematician who works in
set theory Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concer ...
. He is the son of statistician Robert Bartoszyński.


Biography

Bartoszyński studied mathematics at the
University of Warsaw The University of Warsaw ( pl, Uniwersytet Warszawski, la, Universitas Varsoviensis) is a public university in Warsaw, Poland. Established in 1816, it is the largest institution of higher learning in the country offering 37 different fields of ...
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 Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including ...
from the
Polish Academy of Sciences The Polish Academy of Sciences ( pl, Polska Akademia Nauk, PAN) is a Polish state-sponsored institution of higher learning. Headquartered in Warsaw, it is responsible for spearheading the development of science across the country by a society of ...
. From 1986 onwards he worked in the United States: he taught at the
University of California The University of California (UC) is a public land-grant research university system in the U.S. state of California. The system is composed of the campuses at Berkeley, Davis, Irvine, Los Angeles, Merced, Riverside, San Diego, San Fran ...
in Berkeley and
Davis Davis may refer to: Places Antarctica * Mount Davis (Antarctica) * Davis Island (Palmer Archipelago) * Davis Valley, Queen Elizabeth Land Canada * Davis, Saskatchewan, an unincorporated community * Davis Strait, between Nunavut and Green ...
. From 1990 to 2006 he was a professor (full professor from 1998 on) at
Boise State University Boise State University (BSU) is a public research university in Boise, Idaho. Founded in 1932 by the Episcopal Church, it became an independent junior college in 1934 and has been awarding baccalaureate and master's degrees It became a ...
. 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 The Free University of Berlin (, often abbreviated as FU Berlin or simply FU) is a public university, public research university in Berlin, Germany. It is consistently ranked among Germany's best universities, with particular strengths in poli ...
as a
Humboldt fellow The Alexander von Humboldt Foundation (german: Alexander von Humboldt-Stiftung) is a foundation established by the government of the Federal Republic of Germany and funded by the Federal Foreign Office, the Federal Ministry of Education and Resear ...
. Currently he is one of the program directors at the
National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National ...
(NSF), responsible for
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many a ...
,
foundations Foundation may refer to: * Foundation (nonprofit), a type of charitable organization ** Foundation (United States law), a type of charitable organization in the U.S. ** Private foundation, a charitable organization that, while serving a good caus ...
, and
probability Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and ...
. His wife
Joanna Kania-Bartoszyńska Joanna is a feminine given name deriving from from he, יוֹחָנָה, translit=Yôḥānāh, lit=God is gracious. Variants in English include Joan, Joann, Joanne, and Johanna. Other forms of the name in English are Jan, Jane, Janet, Janice, ...
is the NSF program director for
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ho ...
and
geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology In mathem ...
.


Scientific work

Bartoszyński's work is mainly concerned with
forcing Forcing may refer to: Mathematics and science * Forcing (mathematics), a technique for obtaining independence proofs for set theory *Forcing (recursion theory), a modification of Paul Cohen's original set theoretic technique of forcing to deal with ...
, specifically with applications of forcing to the set theory of the real line. 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. 


See also

*
Cichoń's diagram In set theory, Cichoń's diagram or Cichon's diagram is a table of 10 infinite cardinal numbers related to the set theory of the reals displaying the provable relations between these cardinal characteristics of the continuum. All these cardin ...
*
Baire property A subset A of a topological space X has the property of Baire (Baire property, named after René-Louis Baire), or is called an almost open set, if it differs from an open set by a meager set; that is, if there is an open set U\subseteq X such t ...


References


External links


Home page CV
(
PDF Portable Document Format (PDF), standardized as ISO 32000, is a file format developed by Adobe in 1992 to present documents, including text formatting and images, in a manner independent of application software, hardware, and operating systems. ...
) {{DEFAULTSORT:Bartoszynski, Tomek Polish set theorists American logicians Polish logicians Polish emigrants to the United States 1957 births Mathematical logicians 20th-century American mathematicians 21st-century American mathematicians Living people University of Warsaw alumni 21st-century Polish philosophers