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Ciprian Manolescu

Romanian-American mathematician

Ciprian Manolescu (born December 24, 1978) is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a professor of mathematics at Stanford University.

Contents

  • 1 Biography
  • 2 Awards and honors
  • 3 Compe*ions
  • 4 Selected works
  • 5 References
  • 6 External links

Biography

Manolescu completed his first eight cl*es at School no. 11 Mihai Eminescu and his secondary education at Ion Brătianu High School in Piteşti. He completed his undergraduate studies and Ph.D. 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 Ph.D. 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. For this paper he received the E. H. Moore Prize from the American Mathematical Society.

Awards and honors

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 *logy.

He was elected as a member of the 2017 cl* of Fellows of the American Mathematical Society "for contributions to Floer *logy and the topology of manifolds".

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. The citation reads: "Ciprian Manolescu works in low-dimensional topology and gauge theory. His research is centered on constructing new versions of Floer *logy 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 *logy, which he used to prove the existence of non-triangulable manifolds in high dimensions."

Compe*ions

He has one of the best records ever in mathematical compe*ions:

  • 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).
  • He placed in the top 5 on the William Lowell Putnam Mathematical Compe*ion for college undergraduates in 1997, 1998, and 2000.

Selected works

  • Manolescu, Ciprian (2016). "Pin(2)-equivariant Seiberg–Witten Floer *logy 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 *logy". Annals of Mathematics. Second Series. 169 (2): 633–660. arXiv:math/0607691. doi:10.4007/annals.2009.169.633. S2CID:15427272.
  • Lip*z, 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

    External links

    • Manolescu's Stanford Page
    • The Clay Mathematics Ins*ute page
    • 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)

    Ciprian Manolescu Is A Member Of