Alexandre Eremenko

This article is about the mathematician. For other people with this name, see Eremenko.

In this name that follows East Slavic naming customs, the patronymic is Emanuilovych and the family name is Eremenko.

Alexandre Eremenko
Олександр Єременко
Born	1954 (age 71–72) Kharkiv, Ukrainian SSR, Soviet Union (now Ukraine)
Occupation	Mathematician

Alexandre Emanuilovych Eremenko (born 1954) is a Ukrainian-American mathematician who works in the fields of complex analysis and dynamical systems.

Academic career

Eremenko was born into a medical family in Kharkiv, Ukraine. His father was a pathophysiologist, professor and head of the Department of pathophysiology at Ternopil National Medical University. His mother was an ophthalmologist. He obtained his master's degree from Lviv University 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 in 1979 (Asymptotic Properties of Meromorphic and Subharmonic Functions), and is currently a distinguished professor at Purdue University.

In complex dynamics, Eremenko explored escaping sets at the iteration of transcendental entire functions and conjectured that the connected components of this escaping set are unbounded (Eremenko's conjecture). For decades, the conjecture remained open, and has been called "one of the most famous open problems in transcendental dynamics"; a counterexample has been found in the 2020s.

Distinctions

Eremenko was a recipient of the Humboldt Prize in Mathematics. In 2013, he became a fellow of the American Mathematical Society, for "contributions to value distribution theory, geometric function theory, and other areas of analysis and complex dynamics". He was an invited speaker in the International congress of mathematicians in Beijing in 2002.

See also

• Escaping set
• Polynomial lemniscate
• Gravity train
• Paul Eremenko

External links

• Alexandre Eremenko at the Mathematics Genealogy Project