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Alexandre Eremenko (born 1954 in
Kharkiv Kharkiv ( uk, wikt:Харків, Ха́рків, ), also known as Kharkov (russian: Харькoв, ), is the second-largest List of cities in Ukraine, city and List of hromadas of Ukraine, municipality in Ukraine.Ukrainian Ukrainian may refer to: * Something of, from, or related to Ukraine * Something relating to Ukrainians, an East Slavic people from Eastern Europe * Something relating to demographics of Ukraine in terms of demography and population of Ukraine * So ...
-
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
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 Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
and
dynamical systems In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a p ...
. He is a grandnephew of a
Marshal of the Soviet Union Marshal of the Soviet Union (russian: Маршал Советского Союза, Marshal sovetskogo soyuza, ) was the highest military rank of the Soviet Union. The rank of Marshal of the Soviet Union was created in 1935 and abolished in 19 ...
Andrey Yeryomenko , birth_date = , death_date = , image = Маршал Советского Союза Герой Советского Союза Андрей Иванович Ерёменко (cropped).jpg , image_size = , caption = Y ...
.


Academic career

Eremenko was born into a medical family. His father Emmanuel Berger was a pathophysiologist, professor and head of the Department of pathophysiology at
Ternopil National Medical University Ivan Horbachevsky Ternopil National Medical University or simply Ternopil National Medical University ( uk, Тернопільський національний медичний університет імені І. Я. Горбачевсько ...
. His mother Neonila Eremenko was an ophthalmologist. He obtained his master's degree from
Lviv University The University of Lviv ( uk, Львівський університет, Lvivskyi universytet; pl, Uniwersytet Lwowski; german: Universität Lemberg, briefly known as the ''Theresianum'' in the early 19th century), presently the Ivan Franko Na ...
in 1976 and worked in the Institute of Low temperature physics and Engineering in Kharkiv until 1990. He received his PhD 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 Taganrog ( rus, Таганр ...
in 1979 ''(Asymptotic Properties of Meromorphic and Subharmonic Functions),'' and is currently a distinguished professor at
Purdue University Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...
. In complex dynamics, Eremenko explored
escaping set In mathematics, and particularly complex dynamics, the escaping set of an entire function ƒ consists of all points that tend to infinity under the repeated application of ƒ. That is, a complex number z_0\in\mathbb belongs to the escaping set if ...
s 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.


Distinctions

Eremenko was a recipient of the
Humboldt Prize The Humboldt Prize, the Humboldt-Forschungspreis in German, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of G ...
in Mathematics. In 2013 he became a
fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
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
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, ...
, retrieved 2013-11-04. He was an invited speaker in the International congress of mathematicians in Beijing in 2002.


See also

*
Polynomial lemniscate In mathematics, a polynomial lemniscate or ''polynomial level curve'' is a plane algebraic curve of degree 2n, constructed from a polynomial ''p'' with complex coefficients of degree ''n''. For any such polynomial ''p'' and positive real number ' ...
*
Gravity train A gravity train is a theoretical means of transportation for purposes of commuting between two points on the surface of a sphere, by following a straight tunnel connecting the two points through the interior of the sphere. In a large body such ...
*
Paul Eremenko Paul Eremenko ( uk, Єременко Павло Олександрович; born 1979 in Lviv, Soviet Union) is a Ukrainian American innovator and technology executive. He was formerly the Chief Technology Officer and Senior Vice President of U ...


References


External links

* Living people Ukrainian mathematicians Fellows of the American Mathematical Society 1954 births American people of Ukrainian descent American people of Ukrainian-Jewish descent {{Ukraine-mathematician-stub