Peter B. Kronheimer (original) (raw)

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بيتر بندكت كورنهيمر (بالإنجليزية: Peter B. Kronheimer)‏ (و. 1963 م) هو رياضياتي، وأستاذ جامعي بريطاني، ولد في لندن، شارك في الأولمبياد الدولي للرياضيات، هو عضوٌ في الجمعية الملكية. (ar)
Peter Benedict Kronheimer (* 1963 in London) ist ein britischer Mathematiker, der sich mit Differentialgeometrie und drei- und vierdimensionaler Topologie beschäftigt. (de)
Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former chair of the mathematics department. Kronheimer's early work was on gravitational instantons, in particular the classification of hyperkähler 4-manifolds with asymptotical locally Euclidean geometry (ALE spaces), leading to the papers "The construction of ALE spaces as hyper-Kähler quotients" and "A Torelli-type theorem for gravitational instantons." He and Hiraku Nakajimagave a construction of instantons on ALE spaces generalizing the Atiyah–Hitchin–Drinfeld–Manin construction. This constructions identified these moduli spaces as moduli spaces for certain quivers (see "Yang-Mills instantons on ALE gravitational instantons.") He was the initial recipient of the Oberwolfach prize in 1998 on the basis of some of this work. Kronheimer has frequently collaborated with Tomasz Mrowka from the Massachusetts Institute of Technology. Their collaboration began at the Mathematical Research Institute of Oberwolfach, and their first work developed analogues of Simon Donaldson's invariants for 4-manifolds with a distinguished surface. They used the tools developed to prove a conjecture of John Milnor, that the four-ball genus of a -torus knot is . They then went on to develop these tools further and established a structure theorem for Donaldson's polynomial invariants using Kronheimer–Mrowka basic classes. After the arrival of Seiberg–Witten theory their work on embedded surfaces culminated in a proof of the Thom conjecture—which had been outstanding for several decades. Another of Kronheimer and Mrowka's results was a proof of the Property P conjecture for knots. They developed an instanton Floer invariant for knots which was used in their proof that Khovanov homology detects the unknot. Kronheimer attended the City of London School. He completed his DPhil at Oxford University under the direction of Michael Atiyah. He has had a long association with Merton College, the oldest of the constituent colleges of Oxford University, being an undergraduate, graduate, and full fellow of the college. Besides his research articles, his writings include a book, with Simon Donaldson, on 4-manifolds, and a book with Mrowka on Seiberg–Witten–Floer homology, entitled "Monopoles and Three-Manifolds". This book won the Doob Prize of the AMS. In 1990 he was an invited speaker at the International Congress of Mathematicians (ICM) in Kyoto. In 2018 he gave a plenary lecture at the ICM in Rio de Janeiro, together with Tomasz Mrowka. Kronheimer's PhD students have included Ian Dowker, Jacob Rasmussen, Ciprian Manolescu, and Olga Plamenevskaya. (en)
Peter Benedict Kronheimer est un mathématicien britannique né en 1963, connu pour ses travaux sur la théorie de jauge et ses applications en topologie à trois et quatre dimensions. Il est professeur à l'université Harvard, titulaire de la chaire William Caspar Graustein de mathématiques. (fr)
피터 베네딕트 크론하이머(영어: Peter Benedict Kronheimer, 1963–)는 영국의 수학자다. 게이지 이론을 3차원 및 4차원 다양체 위상수학에 응용하는 데 공헌하였다. (ko)
Peter Benedict Kronheimer (ur. 1963) – brytyjski matematyk, znany z prac w dziedzinie teorii pola z cechowaniem i jej zastosowania do trój- i czterowymiarowej topologii. Obecnie jest profesorem na Harvard University. Rozprawę doktorską pt. Ale Gravitational Instantons napisał na Uniwersytecie w Oxfordzie pod kierunkiem Michaela Atiyah. W 1991 roku otrzymał . W 1990 wygłosił wykład sekcyjny, a w 2018 wykład plenarny na Międzynarodowym Kongresie Matematyków. (pl)
Peter Benedict Kronheimer (1963) é um matemático britânico. (pt)

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Whitehead Prize (en)
Doob Prize (en)
Oberwolfach Prize (en)
Veblen Prize (en)

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Peter B. Kronheimer (en)

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بيتر بندكت كورنهيمر (بالإنجليزية: Peter B. Kronheimer)‏ (و. 1963 م) هو رياضياتي، وأستاذ جامعي بريطاني، ولد في لندن، شارك في الأولمبياد الدولي للرياضيات، هو عضوٌ في الجمعية الملكية. (ar)
Peter Benedict Kronheimer (* 1963 in London) ist ein britischer Mathematiker, der sich mit Differentialgeometrie und drei- und vierdimensionaler Topologie beschäftigt. (de)
Peter Benedict Kronheimer est un mathématicien britannique né en 1963, connu pour ses travaux sur la théorie de jauge et ses applications en topologie à trois et quatre dimensions. Il est professeur à l'université Harvard, titulaire de la chaire William Caspar Graustein de mathématiques. (fr)
피터 베네딕트 크론하이머(영어: Peter Benedict Kronheimer, 1963–)는 영국의 수학자다. 게이지 이론을 3차원 및 4차원 다양체 위상수학에 응용하는 데 공헌하였다. (ko)
Peter Benedict Kronheimer (ur. 1963) – brytyjski matematyk, znany z prac w dziedzinie teorii pola z cechowaniem i jej zastosowania do trój- i czterowymiarowej topologii. Obecnie jest profesorem na Harvard University. Rozprawę doktorską pt. Ale Gravitational Instantons napisał na Uniwersytecie w Oxfordzie pod kierunkiem Michaela Atiyah. W 1991 roku otrzymał . W 1990 wygłosił wykład sekcyjny, a w 2018 wykład plenarny na Międzynarodowym Kongresie Matematyków. (pl)
Peter Benedict Kronheimer (1963) é um matemático britânico. (pt)
Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology. He is William Caspar Graustein Professor of Mathematics at Harvard University and former chair of the mathematics department. Kronheimer attended the City of London School. He completed his DPhil at Oxford University under the direction of Michael Atiyah. He has had a long association with Merton College, the oldest of the constituent colleges of Oxford University, being an undergraduate, graduate, and full fellow of the college. (en)

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بيتر بندكت كورنهيمر (ar)
Peter Kronheimer (de)
Peter Kronheimer (fr)
피터 크론하이머 (ko)
Peter B. Kronheimer (en)
Peter Kronheimer (pl)
Peter Kronheimer (pt)

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