Jun-Muk Hwang

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

Jun-Muk Hwang
Born1963
Seoul, South Korea
Alma materSeoul National University
Harvard University
AwardsHo-Am Prize in Science (2009), Korea Science Award (2001)
Scientific career
FieldsAlgebraic geometry, complex differential geometry, complex analysis
InstitutionsInstitute for Basic Science, Korea Institute for Advanced Study, Seoul National University, Mathematical Sciences Research Institute, University of Notre Dame
ThesisGlobal Nondeformability of the Complex Hyperquadric (1993)
Doctoral advisorYum-Tong Siu
Korean name
Hangul
Hanja
Revised RomanizationHwang Jun-muk
McCune–ReischauerHwang Chun-muk
WebsiteCenter for Complex Geometry

Personal life

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

Education and career

Hwang studied physics at Seoul National University for his bachelors before studying physics at Harvard University. In 1993, he completed his PhD under the direction of Yum-Tong Siu with thesis Global nondeformability of the complex hyper quadric.[3][4] In the following years he held positions at the University of Notre Dame, the Mathematical Sciences Research Institute, and Seoul National University. Since 1999, he was 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[5] and in 2014 a plenary speaker with talk Mori geometry meets Cartan geometry: Varieties of minimal rational tangents at the ICM in Seoul.[6]

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]

In 2020, he was the founding director of the Center for Complex Geometry at the Institute for Basic Science.[7] In 2023, he was selected to be on the committee for the Abel Prize.[8][9]

Awards and honors

Selected publications

  • Hwang, Jun-Muk (1995). "Nondeformability of the complex hyperquadric". Inventiones Mathematicae. Springer Science and Business Media LLC. 120 (1): 317–338. Bibcode:1995InMat.120..317H. doi:10.1007/bf01241131. ISSN 0020-9910. S2CID 120966973.
  • "Uniruled projective manifolds with irreducible reductive G-structures". Journal für die reine und angewandte Mathematik (Crelle's Journal). Walter de Gruyter GmbH. 1997 (491): 55–64. 1 September 1997. doi:10.1515/crll.1997.490.55. hdl:10722/75184. ISSN 0075-4102. S2CID 118051384.
  • Hwang, Jun-Muk; Mok, Ngaiming (18 February 1998). "Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation". Inventiones Mathematicae. Springer Science and Business Media LLC. 131 (2): 393–418. Bibcode:1998InMat.131..393H. doi:10.1007/s002220050209. ISSN 0020-9910. S2CID 17138677.
  • Hwang, Jun-Muk; Mok, Ngaiming (18 March 1999). "Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds". Inventiones Mathematicae. Springer Science and Business Media LLC. 136 (1): 209–231. Bibcode:1999InMat.136..209H. doi:10.1007/s002220050308. hdl:10722/48602. ISSN 0020-9910. S2CID 122937743.
  • Hwang, Jun-Muk; Mok, Ngaiming (2003). "Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles". Journal of Algebraic Geometry. American Mathematical Society (AMS). 12 (4): 627–651. doi:10.1090/s1056-3911-03-00319-9. hdl:10722/42125. ISSN 1056-3911.
  • HWANG, JUN-MUK; MOK, NGAIMING (2004). "Birationality of the Tangent Map for Minimal Rational Curves". Asian Journal of Mathematics. International Press of Boston. 8 (1): 51–64. doi:10.4310/ajm.2004.v8.n1.a6. ISSN 1093-6106. S2CID 17584597.
  • Hwang, Jun-Muk; Mok, Ngaiming (25 February 2005). "Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation". Inventiones Mathematicae. Springer Science and Business Media LLC. 160 (3): 591–645. Bibcode:2005InMat.160..591H. doi:10.1007/s00222-004-0417-9. hdl:10722/48613. ISSN 0020-9910. S2CID 52237844.
  • Hwang, Jun-Muk (12 August 2008). "Base manifolds for fibrations of projective irreducible symplectic manifolds". Inventiones Mathematicae. Springer Science and Business Media LLC. 174 (3): 625–644. arXiv:0711.3224. Bibcode:2008InMat.174..625H. doi:10.1007/s00222-008-0143-9. ISSN 0020-9910. S2CID 17694524.
  • Fu, Baohua; Hwang, Jun-Muk (8 December 2011). "Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity". Inventiones Mathematicae. Springer Science and Business Media LLC. 189 (2): 457–513. doi:10.1007/s00222-011-0369-9. ISSN 0020-9910. S2CID 253736967.
  • Hwang, Jun-Muk; Weiss, Richard M. (30 May 2012). "Webs of Lagrangian tori in projective symplectic manifolds". Inventiones Mathematicae. Springer Science and Business Media LLC. 192 (1): 83–109. arXiv:1201.2369. doi:10.1007/s00222-012-0407-2. ISSN 0020-9910. S2CID 253745697.

References

  1. "Hwang, Jun-Muk / School of Mathematics". Korea Institute for Advanced Study. Archived from the original on 2021-12-05. Retrieved 2018-09-11.
  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. Global nondeformability of the complex hyperquadric. ACM Digital Library (phd). Association for Computing Machinery. 1993. Retrieved 5 January 2021.
  5. "Rigidity of rational homogeneous spaces" (PDF). International Congress of Mathematicians, Madrid, 2006. Vol. II. Zurich: Eur. Math. Soc. 2006. pp. 613–626.
  6. Hwang, Jun-Muk (2015). "Mori geometry meets Cartan geometry: Varieties of minimal rational tangents". arXiv:1501.04720 [math.AG].
  7. "IBS launches the IBS Center for Complex Geometry". Institute for Basic Science. 31 August 2020. Retrieved 21 January 2021.
  8. "The Abel Committee". The Abel Prize. Retrieved 3 April 2023.
  9. 홍아름 (22 March 2023). "'수학계 노벨상' 아벨상 수상자에 루이스 카파렐리 미국 오스틴 텍사스대 교수". Chosun Biz (in Korean). Retrieved 3 April 2023.
  10. 권예슬 (27 September 2021). "황준묵 단장, '제66회 대한민국학술원상' 수상". Institute for Basic Science (in Korean). Retrieved 17 January 2023.
  11. "Hwang, Jun-Muk / School of Mathematics". Korea Institute for Advanced Study. Archived from the original on 21 January 2021. Retrieved 20 January 2021.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.