Ciprian Manolescu

Ciprian Manolescu ( born December 24, 1978 in Alexandria ( Romania) ) is a Romanian mathematician who deals with symplectic geometry, low-dimensional topology, and the mathematics of gauge field theories.

Manolescu went to school in Pitesti. 1995, 1996 and 1997, he won a gold medal at the International Mathematical Olympiad, each with a perfect score. He studied at Harvard University, where in 2001 he took his bachelor's degree (summa cum laude) and received his doctorate from Peter Kronheimer 2004 ( A Topological Quantum Field Theory valued spectrum from the Seiberg Witten equations ). As a student, he received the 2001 Morgan Prize by the American Mathematical Society for his work Finite Dimensional Approximations in Seiberg - Witten Theory, 2001 received the Mumford Prize from Harvard University as the most promising math student ( undergraduate ) and came in the William Lowell Putnam Competition 1997, 1998 and 2000 on one of the five top places (2002 to 2004 he was a Putnam Fellow ). 2004/2005 he was Veblen instructor at Princeton University and the Institute for Advanced Study. 2004 to 2008 he was Clay Research Fellow. He was from 2005, Assistant Professor at Columbia University and is an Associate Professor since 2008 and since 2012 professor at the University of California, Los Angeles. He has been a visiting scientist at the University of Paris, on the MSRI and the University of Cambridge.

Manolescu made ​​important contributions to Floer homology with applications to nodes and the topology of 3 - and 4- dimensional manifolds. In 2013 he refuted the triangulation conjecture in higher dimensions () after Michael Freedman constructed a counter-example already in dimension. The assumption was that every compact topological manifold can be triangulated with local finite simplicial complexes.

In 2012 he was awarded the EMS price.

Works

  • Seiberg - Witten- Floer stable homotopy type of three - manifolds with b1 = 0 Geom Topol. 7 (2003), 889-932
  • With Peter Ozsváth, Zoltán Szabó, Dylan Thurston: On combinatorial link Floer homology. Geom Topol. 11 (2007), 2339-2412.
  • With Peter Ozsváth, Sucharit Sankar: A combinatorial description of knot Floer homology. Ann. of Math ( 2) 169 (2009 ), no 2, 633-660.
  • Pin ( 2) - equivariant Seiberg - Witten Floer homology and the Triangulation Conjecture, 2013, Arxiv
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