Christos Papakyriakopoulos
   HOME

TheInfoList



OR:

Christos Dimitriou Papakyriakopoulos (; June 29, 1914 – June 29, 1976), commonly known as Papa, was a
Greek Greek may refer to: Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group *Greek language, a branch of the Indo-European language family **Proto-Greek language, the assumed last common ancestor of all kno ...
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, mathematical structure, structure, space, Mathematica ...
specializing in
geometric topology In mathematics, geometric topology is the study of manifolds and Map (mathematics)#Maps as functions, maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topo ...
.


Early life

Papakyriakopoulos was born in
Chalandri Chalandri (, Ancient Greek: Φλύα, ''Phlya'', also ''Halandri'', ''Khalandri'') is a town and a suburb in the northern part of the Athens agglomeration, Greece. It is a municipality of the Attica region. Geography Chalandri is a suburb in No ...
, then in the
Municipality of Athens A municipality is usually a single administrative division having corporate status and powers of self-government or jurisdiction as granted by national and regional laws to which it is subordinate. The term ''municipality'' may also mean the go ...
, now in
North Athens North Athens () is one of the regional units of Greece. It is part of the region of Attica. The regional unit covers the northeast-central part of the agglomeration of Athens. Administration As a part of the 2011 Kallikratis government reform, th ...
.


Career

Papakyriakopoulos worked in isolation at Athens Polytechnic as research assistant to Professor Nikolaos Kritikos. But he was enrolled as research student at
Athens University The National and Kapodistrian University of Athens (NKUA; , ''Ethnikó kai Kapodistriakó Panepistímio Athinón''), usually referred to simply as the University of Athens (UoA), is a public university in Athens, Greece, with various campuses alo ...
, being awarded a
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 ...
in 1943 on the recommendation of
Constantin Carathéodory Constantin Carathéodory (; 13 September 1873 – 2 February 1950) was a Greeks, Greek mathematician who spent most of his professional career in Germany. He made significant contributions to real and complex analysis, the calculus of variations, ...
. In 1948, he was invited by
Ralph Fox Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician. As a professor at Princeton University, he taught and advised many of the contributors to the ''Golden Age of differential topology'', and he played ...
to come as his guest at the
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
mathematics department because Fox had been impressed by a letter from Papakyriakopoulos that purported to prove Dehn's lemma. The proof, as it turned out, was faulty, but Fox's sponsorship would continue for many years and enabled Papakyriakopoulos to work on his mathematics without concern for financial support. Papakyriakopoulos is best known for his proofs of Dehn's lemma, the loop theorem, and the
sphere theorem In Riemannian geometry, the sphere theorem, also known as the quarter-pinched sphere theorem, strongly restricts the topology of manifolds admitting metrics with a particular curvature bound. The precise statement of the theorem is as follows. I ...
, three foundational results for the study of
3-manifold In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane (geometry), plane (a tangent ...
s. In honor of this work, he was awarded the first
Oswald Veblen Prize in Geometry __NOTOC__ The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. It was funded in 1961 in memory of Oswald Veblen and first issued in 1964. The Veblen Prize is n ...
in 1964. From the early 1960s on, he mostly worked on the
Poincaré conjecture In the mathematical field of geometric topology, the Poincaré conjecture (, , ) is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. Originally conjectured b ...
.
Bernard Maskit Bernard (Bernie) Maskit (27 May 1935 – 15 March 2024) was an American mathematician who worked on Kleinian groups, low dimensional geometry and topology, and related topics. Life and Work Maskit studied for both his bachelors and doctoral degr ...
produced counterexamples about his proof three times.


Tribute

The following unusual
limerick Limerick ( ; ) is a city in western Ireland, in County Limerick. It is in the Provinces of Ireland, province of Munster and is in the Mid-West Region, Ireland, Mid-West which comprises part of the Southern Region, Ireland, Southern Region. W ...
was composed by
John Milnor John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook Uni ...
, shortly after learning of several graduate students' frustration at completing a project where the work of every Princeton mathematics faculty member was to be summarized in a limerick: ::::The perfidious lemma of Dehn ::::Was every topologist's bane ::::      'Til Christos D. Pap- ::::      akyriakop- ::::oulos proved it without any strain. This may be the only limerick where one word spans three lines. The phrase "without any strain" is not meant to indicate that Papa did not expend much energy in his efforts. Rather, it refers to Papa's "tower construction", which quite nicely circumvents much of the difficulty in the cut-and-paste efforts that preceded Papa's proof.


Other activities

Papakyriakopoulos sympathized with leftist politicsArticle in ''Popular Science'' by Apostolos Doxiadis
/ref> and in 1941 joined the student branch of the National Liberation Front (EAM). When he went to live in the US, in 1948 the Greek authorities reported him to the American authorities as a "dangerous communist" and asked for his extradition, but Princeton Institute of Advanced Study gave him protection as it had done with others suffering political persecution. He was a reclusive character, spending most of his time in his office listening to his beloved
Richard Wagner Wilhelm Richard Wagner ( ; ; 22 May 181313 February 1883) was a German composer, theatre director, essayist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most o ...
. Legend has it that in the United States he lived for 25 years in the same hotel room he used when he first arrived in the country, all of his belongings inside his original luggage.


Death

Papakyriakopoulos died of
stomach cancer Stomach cancer, also known as gastric cancer, is a malignant tumor of the stomach. It is a cancer that develops in the Gastric mucosa, lining of the stomach. Most cases of stomach cancers are gastric carcinomas, which can be divided into a numb ...
at age 62 in
Princeton, New Jersey The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Pri ...
.NTUA's page
on Papakyriakopoulos incorrectly lists his place of death as
New York New York most commonly refers to: * New York (state), a state in the northeastern United States * New York City, the most populous city in the United States, located in the state of New York New York may also refer to: Places United Kingdom * ...
.


See also

*
List of Greek mathematicians A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, bu ...
* Konstantinos Papaioannou


Notes


References

* * *


External links

* * * {{DEFAULTSORT:Papakyriakopoulos, Christos 1914 births 1976 deaths 20th-century Greek mathematicians Topologists Princeton University faculty Deaths from stomach cancer in New Jersey National and Kapodistrian University of Athens alumni Scientists from Athens