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Jun-Muk Hwang

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Jun-Muk Hwang
AwardsHo-Am Prize in Science (2009), Korea Science Award (2001)
Scientific career
FieldsAlgebraic geometry and complex differential geometry
Thesis Global Nondeformability of the Complex Hyperquadric
Doctoral advisorYum-Tong Siu
Korean name
Hangul
Hanja
Revised RomanizationHwang Jun-muk
McCune–ReischauerHwang Chun-muk

Jun-Muk Hwang (황준묵; born 27 October 1963) is a South Korean mathematician, specializing in algebraic geometry and complex differential geometry.[1]

Personal life

Hwang is the eldest son of gayageum musician Hwang Byungki and novelist Han Malsook.[2]

Education and career

Hwang received in 1993 from Harvard University his PhD under the direction of Yum-Tong Siu with thesis Global nondeformability of the complex hyper quadric.[3] In the following years he held positions at the University of Notre Dame, the MSRI, and Seoul National University. Since 1999 he is a professor at the Korea Institute for Advanced Study.[1] He was in 2006 an invited speaker with talk Rigidity of rational homogeneous spaces at the International Congress of Mathematicians (ICM) in Madrid[4] and in 2014 a plenary speaker with talk Mori geometry meets Cartan geometry: Varieties of minimal rational tangents at the ICM in Seoul.[5]

With his collaborator Ngaiming Mok, he has developed the theory of varieties of minimal rational tangents, which combines methods of algebraic geometry and differential geometry in the study of rational curves on algebraic varieties. He has applied this theory to settle a number of problems on algebraic varieties covered by rational curves.[1]

Awards and honors

Selected publications

  • Nondeformability of the complex hyperquadric. Invent. Math. 120 (1995), no. 2, 317–338.
  • with Ngaiming Mok: Unirulated projective manifolds with irreducible reductive G-structures. J. Reine Angew. Math. 490 (1997), 55-64.
  • with Ngaiming Mok: Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation. Invent. Math. 131 (1998), no. 2, 393–418.
  • with Ngaiming Mok: Holomorphic maps from rationally homogeneous spaces of Picard number 1 onto projective manifolds. Invent. Math. 136 (1999), no. 1, 209–231.
  • with Ngaiming Mok: Finite morphisms on Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles. J. Algebraic Geom. 12 (2003), no. 4, 627–651.
  • with Ngaiming Mok: Birationality of the tangent map for minimal rational curves. Asian J. Math. 8 (2004), no. 1, 51–63.
  • with Ngaiming Mok: Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation. Invent. Math. 160 (2005), no. 3, 591–645.
  • Base manifolds for fibrations of projective irreducible symplectic manifolds. Invent. Math. 174 (2008), no. 3, 625-644.
  • with Baohua Fu: Classification of non-degenerate projective varieties with non-zero extension and application to target rigidity. Invent. Math. 189 (2012), no. 2, 457–513.
  • with Richard M. Weiss: 'Webs of Lagrangian tori in projective symplectic manifolds', Invent. Math. 192 (2013), no. 1, 83–109.

References

  1. ^ a b c "Hwang, Jun-Muk / School of Mathematics". Korea Institute for Advanced Study.
  2. ^ 임아영 [Im A-yeong] (15 November 2014). "[우리시대의멘토]국악인 황병기". Kyunghyang Shinmun. Retrieved 12 September 2018.
  3. ^ Jun-Muk Hwang at the Mathematics Genealogy Project
  4. ^ "Rigidity of rational homogeneous spaces" (PDF). International Congress of Mathematicians, Madrid, 2006. Vol. Vol. II. Zurich: Eur. Math. Soc. 2006. pp. 613–626. {{cite book}}: |volume= has extra text (help)
  5. ^ Hwang, Jun-Muk (2015). "Mori geometry meets Cartan geometry: Varieties of minimal rational tangents". arXiv:1501.04720 [math.AG].