Ciprian Manolescu
Ciprian Manolescu | |
---|---|
Born | |
Nationality | Romanian, American |
Alma mater | Harvard University (BA 2001; PhD 2004) |
Known for | Hauptvermutung Seiberg–Witten Floer theory |
Awards | E. H. Moore Prize (2019) EMS Prize (2012) Morgan Prize (2002) Putnam Fellow (1997, 1998, 2000) |
Scientific career | |
Fields | Mathematics |
Institutions | Stanford University UCLA Columbia University Clay Mathematics Institute Institute for Advanced Study |
Thesis | A spectrum valued TQFT from the Seiberg-Witten equations (2004) |
Doctoral advisor | Peter B. Kronheimer[1] |
Website | web |
Ciprian Manolescu (born December 24, 1978) is a Romanian-American[2] mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University.
Biography
[edit]Manolescu completed his first eight classes at School no. 11 Mihai Eminescu and his secondary education at Ion Brătianu High School in Pitești.[3] He completed his undergraduate studies and PhD at Harvard University under the direction of Peter B. Kronheimer. He was the winner of the Morgan Prize, awarded jointly by AMS-MAA-SIAM, in 2002. His undergraduate thesis was on Finite dimensional approximation in Seiberg–Witten theory, and his PhD thesis topic was A spectrum valued TQFT from the Seiberg–Witten equations.
In early 2013, he released a paper detailing a disproof of the triangulation conjecture for manifolds of dimension 5 and higher.[4] For this paper, he received the E. H. Moore Prize from the American Mathematical Society.[5]
Awards and honors
[edit]He was among the recipients of the Clay Research Fellowship (2004–2008).
In 2012, he was awarded one of the ten prizes of the European Mathematical Society for his work on low-dimensional topology, and particularly for his role in the development of combinatorial Heegaard Floer homology.[6]
He was elected as a member of the 2017 class of Fellows of the American Mathematical Society "for contributions to Floer homology and the topology of manifolds".[7]
In 2018, he was an invited speaker at the International Congress of Mathematicians (ICM) in Rio de Janeiro.
In 2020, he received a Simons Investigator Award.[8] The citation reads: "Ciprian Manolescu works in low-dimensional topology and gauge theory. His research is centered on constructing new versions of Floer homology and applying them to questions in topology. With collaborators, he showed that many Floer-theoretic invariants are algorithmically computable. He also developed a new variant of Seiberg-Witten Floer homology, which he used to prove the existence of non-triangulable manifolds in high dimensions."
Competitions
[edit]He has one of the best records ever in mathematical competitions:
- He holds the sole distinction of writing three perfect papers at the International Mathematical Olympiad: Toronto, Canada (1995); Bombay, India (1996); Mar del Plata, Argentina (1997).[9]
- Manolescu is a three-time Putnam Fellow, having placed in the top five in the William Lowell Putnam Mathematical Competition in 1997, 1998, and 2000.[10]
Selected works
[edit]- Manolescu, Ciprian (2016). "Pin(2)-equivariant Seiberg–Witten Floer homology and the Triangulation Conjecture". J. Amer. Math. Soc. 29: 147–176. arXiv:1303.2354. doi:10.1090/jams829. S2CID 16403004.
- Manolescu, Ciprian; Ozsváth, Peter; Sarkar, Sucharit (2009). "A Combinatorial Description of Knot Floer Homology". Annals of Mathematics. Second Series. 169 (2): 633–660. arXiv:math/0607691. doi:10.4007/annals.2009.169.633. S2CID 15427272.
- Lipshitz, Robert; Manolescu, Ciprian; Wang, Jiajun (2008). "Combinatorial cobordism maps in hat Heegaard Floer theory". Duke Math. J. 145 (2): 207–247. arXiv:math/0611927. doi:10.1215/00127094-2008-050. S2CID 15351034.
References
[edit]- ^ Ciprian Manolescu at the Mathematics Genealogy Project
- ^ "Curriculum vitae" (PDF). Retrieved April 10, 2024.
- ^ "Ciprian Manolescu revine la Școala Mihai Eminescu Pitești". scoala11.eu (in Romanian). Mihai Eminescu School Pitești. June 26, 2023. Retrieved August 29, 2024.
- ^ Hartnett, Kevin (January 13, 2015), "A Proof That Some Spaces Can't Be Cut", Quanta Magazine
- ^ E. H. Moore Research Article Prize, American Mathematical Society, retrieved January 14, 2019.
- ^ "Home | 6th European Congress of Mathematics". Archived from the original on May 14, 2013. Retrieved May 10, 2013.
- ^ 2017 Class of the Fellows of the AMS, American Mathematical Society, retrieved November 6, 2016.
- ^ "Ciprian Manolescu Named Member of the 2020 Class of Simons Investigators | Mathematics". June 30, 2020.
- ^ "International Mathematical Olympiad".
- ^ "Putnam Competition Individual and Team Winners | Mathematical Association of America".
External links
[edit]- Manolescu's Stanford Page
- The Clay Mathematics Institute page Archived September 29, 2018, at the Wayback Machine
- Ciprian Manolescu's results at International Mathematical Olympiad
- Ciprian Manolescu publications indexed by Google Scholar
- Ciprian Manolescu publications indexed by the Scopus bibliographic database. (subscription required)
- 21st-century Romanian mathematicians
- 21st-century American mathematicians
- Topologists
- Harvard University alumni
- University of California, Los Angeles faculty
- People from Alexandria, Romania
- 1978 births
- Living people
- Romanian emigrants to the United States
- International Mathematical Olympiad participants
- Geometers
- Fellows of the American Mathematical Society
- Putnam Fellows