= Mikhail Gromov
{c}
<Mikhail Gromov> is a <mathematician> whose work connects <Riemannian geometry>, <symplectic geometry> and <geometric group theory>. His 1985 paper introduced powerful methods based on <J-holomorphic curves> and established the ball-embedding obstruction underlying the <Gromov non-squeezing theorem>.<Pseudo holomorphic curves in symplectic manifolds by Mikhail Gromov>[section 0.3.A, Corollary, printed page 310]{ref}
The obstruction says that a standard symplectic ball of radius $R$ cannot fit symplectically into $B^2(r)\times\mathbb R^{2n-2}$ when $R>r$. In higher dimensions the target has infinite <volume>, so preserving volume is weaker than preserving the <symplectic form>. This gives a concrete example of the global rigidity his work uncovered. His IHES profile records his permanent professorship from 1982 to 2015 and subsequent emeritus status.https://www.ihes.fr/professeur/mikhail-gromov/[Institutional profile]{ref} He received the 2009 <Abel Prize>.https://abelprize.no/abel-prize-laureates/2009[Official laureate announcement]{ref}
\Image[https://www.ihes.fr/wp-content/uploads/2016/10/mikhail-gromov.jpg]
{title=Mikhail Gromov, portrait identified and credited by IHES}
{height=240}
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