Martin Goldstern (born 7 May 1963 in Austria) is an Austrian mathematician and university professor for

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 conce ...

at the

TU Wien TU Wien (TUW; german: Technische Universität Wien; still known in English as the Vienna University of Technology from 1975–2014) is one of the major universities in Vienna, Austria. The university finds high international and domestic recogn ...

and head of th
research unit 1
of th
Institute of Discrete Mathematics and Geometry
His main research lies in set theory of the real line and forcing theory, and applications of set theory in

universal algebra Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study, ...

. He is cousin of

Martin Karplus Martin Karplus (born March 15, 1930) is an Austrian and American theoretical chemist. He is the Director of the Biophysical Chemistry Laboratory, a joint laboratory between the French National Center for Scientific Research and the University of St ...

and great-nephew of

Eugenie Goldstern Eugenie Goldstern (1884–1942) was an Austrian anthropologist who conducted research on Alpine folk culture in Switzerland. Biography Eugenie Goldstern was born in Odessa in 1884 to Jewish parents, the youngest of 14 children. In 1905, she re ...

Academic career

Goldstern earned a Ph.D. in 1986 at the

under the direction of Robert F. Tichy, with a dissertation in equidistribution; and another in set theory in 1991 at

UC Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public university, public land-grant university, land-grant research university in Berkeley, California. Established in 1868 as the University of Californi ...

under the direction of

Jack Silver Jack Howard Silver (23 April 1942 – 22 December 2016) was a set theorist and logician at the University of California, Berkeley. Born in Montana, he earned his Ph.D. in Mathematics at Berkeley in 1966 under Robert Vaught before taking a posi ...

and Haim Judah. As postdoc he held temporary positions at

Bar Ilan University Bar-Ilan University (BIU, he, אוניברסיטת בר-אילן, ''Universitat Bar-Ilan'') is a public research university in the Tel Aviv District city of Ramat Gan, Israel. Established in 1955, Bar Ilan is Israel's second-largest academic i ...

Freie Universität Berlin The Free University of Berlin (, often abbreviated as FU Berlin or simply FU) is a public research university in Berlin, Germany. It is consistently ranked among Germany's best universities, with particular strengths in political science and t ...

and

Carnegie Mellon University Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...

. He acquired

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 a ...

at TU Wien in 1993 with the thesis ''Tools for your forcing construction'', which greatly simplified, and made widely accessible, a general preservation theorem of

Saharon Shelah Saharon Shelah ( he, שהרן שלח; born July 3, 1945) is an Israeli mathematician. He is a professor of mathematics at the Hebrew University of Jerusalem and Rutgers University in New Jersey. Biography Shelah was born in Jerusalem on July 3, ...

for countable support proper forcing iterations. In 1993 he started working at TU Wien, where he is now full professor. 1996 he won the

Prize of the Austrian Mathematical Society The Prize of the Austrian Mathematical Society (german: Förderungspreis) is the highest mathematics award in Austria. It is awarded every year by the Austrian Mathematical Society to a promising young mathematician for outstanding achievements. ...

. 2015 and 2018 he held visiting professor positions at the

Hebrew University of Jerusalem The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...

. Together with Jakob Kellner and Shelah he showed the consistency (assuming

large cardinal In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least � ...

s) of Cichoń's maximum, i.e., the statement that the ten "independent" entries in

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 characteristic of the continuum, cardinal characterist ...

are all different.

Selected publications

* * * (reprinted in 1998) * *

References

External links

Goldstern's web page at TU Wien
* {{DEFAULTSORT:Goldstern, Martin Austrian logicians 20th-century Austrian mathematicians 21st-century Austrian mathematicians Set theorists 1963 births University of California, Berkeley alumni Living people Academic staff of TU Wien