Alexandre Eremenko

{{Family name hatnote|Emanuilovych|Eremenko|lang=Eastern Slavic}}

{{Infobox person

| name = Alexandre Eremenko

| image =

| alt =

| caption =

| native_name_lang = uk

| native_name = {{nobold|Олександр Єременко}}

| birth_name =

| birth_date = {{Birth year and age|1954}}

| birth_place = Kharkiv, Ukrainian SSR, Soviet Union (now Ukraine)

| death_date =

| death_place =

| nationality =

| other_names =

| occupation = Mathematician

}}

Alexandre Emanuilovych Eremenko{{efn|{{langx|uk|Олександр Емануїлович Єременко|{{transliteration|uk|ukrainian|Oleksandr Emanuilovych Yeremenko}}}}}} (born 1954){{Cite web |url=http://jmage.ilt.kharkov.ua/jmag/pdf/10/jm10-0386r.pdf |title=Archived copy |access-date=2015-05-31 |archive-date=2019-02-14 |archive-url=https://web.archive.org/web/20190214220617/http://jmage.ilt.kharkov.ua/jmag/pdf/10/jm10-0386r.pdf |url-status=dead }} 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.{{cite web | url=http://www.math.purdue.edu/people/bio/eremenko | title=Alexandre E Eremenko | publisher=Purdue University | accessdate=2012-01-29}}

In complex dynamics, 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".{{cite journal

| last = Rempe | first = Lasse

| doi = 10.1090/proc/15576

| issue = 1

| journal = Proceedings of the American Mathematical Society

| mr = 4335867

| pages = 171–177

| title = Escaping sets are not sigma-compact

| volume = 150

| year = 2022}}

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".[https://www.ams.org/profession/ams-fellows/new-fellows 2014 Class of the Fellows of the AMS], American Mathematical Society, retrieved 2013-11-04. He was an invited speaker in the International congress of mathematicians in Beijing in 2002.