Valentin Poénaru
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Valentin Alexandre Poénaru (born 1932 in
Bucharest Bucharest ( , ; ro, București ) is the capital and largest city of Romania, as well as its cultural, industrial, and financial centre. It is located in the southeast of the country, on the banks of the Dâmbovița River, less than north of ...
) is a
Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S ...
n–
French French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...
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 ...
. He was a Professor of Mathematics at
University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...
, specializing in
low-dimensional topology In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot th ...
.


Life and career

Born in
Bucharest Bucharest ( , ; ro, București ) is the capital and largest city of Romania, as well as its cultural, industrial, and financial centre. It is located in the southeast of the country, on the banks of the Dâmbovița River, less than north of ...
,
Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S ...
, he did his undergraduate studies at the
University of Bucharest The University of Bucharest ( ro, Universitatea din București), commonly known after its abbreviation UB in Romania, is a public university founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princel ...
. In 1962, he was an invited speaker at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
in
Stockholm Stockholm () is the Capital city, capital and List of urban areas in Sweden by population, largest city of Sweden as well as the List of urban areas in the Nordic countries, largest urban area in Scandinavia. Approximately 980,000 people liv ...
,
Sweden Sweden, formally the Kingdom of Sweden,The United Nations Group of Experts on Geographical Names states that the country's formal name is the Kingdom of SwedenUNGEGN World Geographical Names, Sweden./ref> is a Nordic country located on ...
. While at the congress, Poénaru
defected In politics, a defector is a person who gives up allegiance to one state in exchange for allegiance to another, changing sides in a way which is considered illegitimate by the first state. More broadly, defection involves abandoning a person, ca ...
, subsequently leaving for
France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pac ...
. He arrived in mid-September 1962 at the
Institut des Hautes Études Scientifiques The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics. It is located in Bures-sur-Yvette, just ...
in
Bures-sur-Yvette Bures-sur-Yvette (, literally ''Bures on Yvette'') is a commune in the Essonne department in Île-de-France in northern France. Geography Bures-sur-Yvette is located in the Vallée de Chevreuse on the river Yvette, along which the RER line&nbs ...
; the IHÉS decided to support him, and he has remained associated with the institute ever since then. Poénaru defended his Thèse d'État at the
University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...
on March 23, 1963. His dissertation topic was ''Sur les variétés tridimensionnelles ayant le type d'homotopie de la sphère S3'', and was written under the supervision of
Charles Ehresmann Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory. He was an early member of the Bourbaki group, and is known for his work on the differential ...
. After that, he went to the
United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
, spending four years at
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
and
Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
. In 1967, he returned to France. Poénaru has worked for several decades on a proof of the
Poincaré conjecture In the mathematics, mathematical field of geometric topology, the Poincaré conjecture (, , ) is a theorem about the Characterization (mathematics), characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dim ...
, making a number of related breakthroughs. His first attempt at proving the conjecture dates from 1957. He has described his general approach over the years in different papers and conferences. On December 19, 2006, he posted a preprint to the
arXiv arXiv (pronounced "archive"—the X represents the Greek letter chi ⟨χ⟩) is an open-access repository of electronic preprints and postprints (known as e-prints) approved for posting after moderation, but not peer review. It consists of ...
, claiming to have finally completed the details of his approach and proven the conjecture. His doctoral students include
Jean Lannes Jean Lannes, 1st Duke of Montebello, Prince of Siewierz (10 April 1769 – 31 May 1809), was a French military commander and a Marshal of the Empire who served during both the French Revolutionary and Napoleonic Wars. He was one of Napoleon's ...
.


Works

*Valentin Poenaru, Memories from my former life: the making of a mathematician. In: Geometry in history (ed. S. G. Dani and A. Papadopoulos), 705–732, Springer, Cham, 2019. *Valentin Poenaru, ''On the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem'', . * Valentin Poenaru
''Sur les variétés tridimensionnelles ayant le type d'homotopie de la sphère S3''
Séminaire Ehresmann, Topologie et géométrie différentielle 6 (1964), Exposé No. 1, 1–67. * Valentin Poenaru, ''Produits cartésiens de variétés différentielles par un disque'', 1963 Proceedings of the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
(Stockholm, 1962), pp. 481–489, Mittag-Leffler Institute, Djursholm. MR0176481. *
André Haefliger André Haefliger (born 22 May 1929 in Nyon, Switzerland) is a Swiss mathematician who works primarily on topology. Education and career Haefliger went to school in Nyon and then attended his final years at Collège Calvin in Geneva. He studied ...
and Valentin Poenaru
''La classification des immersions combinatoires''
Publications Mathématiques de l'IHÉS ''Publications Mathématiques de l'IHÉS'' is a peer-reviewed mathematical journal. It is published by Springer Science+Business Media on behalf of the Institut des Hautes Études Scientifiques, with the help of the Centre National de la Recherche ...
23 (1964), 75–91.


Iconography

His friend the Peruvian painter
Herman Braun-Vega Herman Braun-Vega (7 July 1933 in Lima — 2 April 2019 in Paris) was a Peruvian painter and artist. Although his work has always been figurative, it was at first (before 1970) close to abstraction. It experienced a decisive turning point when t ...
made of him a family portrait with his wife the painter Rigmor Poenaru, where figures and mathematical symbols in the form of graffiti evoke his research works.The Poenaru family
acrylic on wood, 1981-1982, by Herman Braun-Vega


See also

*
Mazur manifold In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth four-dimensional manifold (with boundary) which is not diffeomorphic to the standard 4-ball. The boundary of a Mazur manifold is necessarily a ...
* Poénaru conjecture *
List of Eastern Bloc defectors A ''list'' is any set of items in a row. List or lists may also refer to: People * List (surname) Organizations * List College, an undergraduate division of the Jewish Theological Seminary of America * SC Germania List, German rugby unio ...


References

*
David Gabai David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University. Focused on low-dimensional topology and hyperbolic geometry, he is a leading researcher in those subjects. Biography David Gabai ...
, ''Valentin Poenaru's program for the Poincaré conjecture.'' Geometry, topology, & physics, 139–166, Conf. Proc. Lecture Notes Geom. Topology, IV, Int. Press, Cambridge, MA, 1995.


External links

*
''Terza e quarta dimensione: un mistero da svelare''
interview by Marinella Daidone from Università degli Studi di Trento, Unitn, no. 52, April, 2003. {{DEFAULTSORT:Poenaru, Valentin Living people 20th-century Romanian people 20th-century French mathematicians 21st-century French mathematicians 20th-century Romanian mathematicians Topologists Romanian exiles Romanian expatriates in France Romanian defectors University of Bucharest alumni University of Paris alumni 1932 births Scientists from Bucharest Princeton University faculty Harvard University faculty 21st-century Romanian mathematicians