Alexandre Emanuilovych Eremenko (born 1954) is a Ukrainian-American mathematician who works in the fields of

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic ...

and

dynamical systems In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...

Academic career

Eremenko was born into a medical family in

Kharkiv Kharkiv, also known as Kharkov, is the second-largest List of cities in Ukraine, city in Ukraine.

Ukraine Ukraine is a country in Eastern Europe. It is the List of European countries by area, second-largest country in Europe after Russia, which Russia–Ukraine border, borders it to the east and northeast. Ukraine also borders Belarus to the nor ...

. His father was a pathophysiologist, professor and head of the Department of pathophysiology at

Ternopil National Medical University The Ivan Horbachevsky Ternopil National Medical University, or simply Ternopil National Medical University (), is a Public university, state-sponsored university run by the Ministry of Healthcare (Ukraine), Ministry of Health as Medical school, m ...

. His mother was an ophthalmologist. He obtained his master's degree from

Lviv University The Ivan Franko National University of Lviv (named after Ivan Franko, ) is a state-sponsored university in Lviv, Ukraine. Since 1940 the university is named after Ukrainian poet Ivan Franko. The university is the oldest institution of highe ...

in 1976 and worked in the Institute of Low temperature physics and Engineering in Kharkiv until 1990. He received his

PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...

from

Rostov State University Southern Federal University (), abbreviated as SFedU () and formerly known as Rostov State University (1957–2006), is a public university in Rostov Oblast, Russia with campuses in Rostov-on-Don and Taganrog. In 2023 ''US News & World Repor ...

in 1979 ''(Asymptotic Properties of Meromorphic and Subharmonic Functions),'' and is currently a distinguished professor at

Purdue University Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded ...

. In

complex dynamics Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by Iterated function, iterating a complex analytic mapping. This article focuses on the case of algebraic dynamics, where a polynomial or rational function is it ...

, Eremenko explored escaping sets at the iteration of entire, transcendent functions and conjectured that the connected components of this escaping set are unbounded ''(Eremenko's conjecture).'' The conjecture is still open, and has been called "one of the most famous open problems in transcendental dynamics".

Distinctions

Eremenko was a recipient of the

Humboldt Prize The Humboldt Research Award (), also known informally as the Humboldt Prize, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany in recognition of ...

in Mathematics. In 2013, he became a

fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...

of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

, for "contributions to value distribution theory, geometric function theory, and other areas of analysis and complex dynamics".2014 Class of the Fellows of the AMS

, retrieved 2013-11-04. He was an invited speaker in the International congress of mathematicians in

Beijing Beijing, Chinese postal romanization, previously romanized as Peking, is the capital city of China. With more than 22 million residents, it is the world's List of national capitals by population, most populous national capital city as well as ...

in 2002.

Notes

References

External links

* Living people Ukrainian mathematicians Fellows of the American Mathematical Society Humboldt Research Award recipients 1954 births American people of Ukrainian descent American people of Ukrainian-Jewish descent Ternopil National Medical University people {{Ukraine-mathematician-stub

Academic career

Distinctions

See also

Notes

References

External links