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Cem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
.


Education

Yıldırım obtained his B.Sc from
Middle East Technical University Middle East Technical University (commonly referred to as METU; in Turkish language, Turkish, ''Orta Doğu Teknik Üniversitesi'', ODTÜ) is a prestigious public university, public Institute of technology, technical university located in Ankara, ...
in Ankara, Turkey and his PhD from the
University of Toronto The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...
in 1990. His advisor was John Friedlander. He is a faculty member at
Boğaziçi University Boğaziçi University (Turkish language, Turkish: ''Boğaziçi Üniversitesi''), also known as Bosphorus University, is a Public university, public research university in Istanbul, Turkey, historically tied to a former American educational insti ...
in
Istanbul, Turkey Istanbul is the largest city in Turkey, constituting the country's economic, cultural, and historical heart. With a population over , it is home to 18% of the population of Turkey. Istanbul is among the largest cities in Europe and in th ...
.


Research

In 2009, Dan Goldston, János Pintz, and Yıldırım proved that for any positive number ''ε'' there exist primes ''p'' and ''p''′ such that the difference between ''p'' and ''p''′ is smaller than ''ε'' log ''p''. This result was originally reported in 2003 by Goldston and Yıldırım but was later retracted. Then Janos Pintz joined the team and they completed the proof in 2005 and developed the so called GPY sieve.


See also

*
Landau's problems At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as "unattackable at the present state of mathematics" and are now known as Landau' ...


References

*


External links

* 20th-century Turkish mathematicians 21st-century Turkish mathematicians 1961 births Living people Number theorists Institute for Advanced Study visiting scholars Ankara Science High School alumni University of Toronto alumni {{Turkey-scientist-stub Middle East Technical University alumni