Hee oh

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Korean spelling
Hangeul 오희
Hanja 吳 熙
Revised
Romanization 		O hay

Hee Oh (born October 27, 1969 ) is a mathematician and university professor from South Korea who deals with dynamic systems (homogeneous dynamics), ergodic theory , Lie groups and their discrete subgroups , representation theory of groups , geometric group theory with applications in number theory ( equal distribution ) and geometry (e.g. Apollonian circular packs ).

Hee Oh, Oberwolfach 2010

Hee Oh studied mathematics at Seoul National University with a bachelor's degree in 1992 and received her doctorate with Gregory Margulis at Yale University in 1997 (Discrete Subgroups Generated By Lattices In Opposite Horospherical Subgroups) Afterwards she was at Princeton University (Assistant Professor 1999 to 2003 ), Caltech (Associate Professor 2003, Professor 2006/07), Brown University (Professor since 2006) and has been a professor at Yale University since 2013, as the first woman with tenure in mathematics at Yale.

In 2002/03 she was at the Institute for Advanced Study . She was also a visiting scholar at Harvard, Bielefeld, Chicago, at the Korea Institute for Advanced Study (from 2008), at the Max Planck Institute for Mathematics in Bonn, at the Isaac Newton Institute , at Oklahoma State University (visiting professorship 1997/98) and at the Hebrew University in Jerusalem (1998/99, Golda Meir Postdoctoral Fellow).

In 2008 she and Alex Kontorovich proved a theorem about the fractal dimension of plane Apollonian circle packings (fractal dimension , number of circles with a radius greater than r:, where the constant C depends on the first three mutually touching circles). Apollonian circle packs go back to Apollonios von Perge (in a lost script) and René Descartes , who found a quadratic formula for the radius of the fourth circle as a function of the first three ( Descartes' theorem ). There is a linear equation for the radii of the following circles, so that the problem also has a number-theoretical aspect (if the first four radii are integral, so do the following ones) and, as Hee Oh and Kontorovich made use of, a connection to the dynamics in hyperbolic manifolds (found by Jeffrey Lagarias , Peter Sarnak , Ronald Graham , Allan Wilks ).

For 2015 she received the Ruth Lyttle Satter Prize . In 2010 she was invited speaker at the International Congress of Mathematicians in Hyderabad (Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond). In 2012 she became a Fellow of the American Mathematical Society . She was awarded a Ho Am Prize for 2018 . In 2018 she was on the Fields Medal Award Committee .

She is married and has two kids. She is a South Korean citizen.

Fonts

  • with Dale Winter: Prime number theorems and holonomies for hyperbolic rational maps, Inventiones Mathematicae, Vol 208 (2017), 401-440
  • with Curtis McMullen, Amir Mohammadi: Geodesic planes in hyperbolic 3-manifolds, Inventiones Mathematicae, Vol 209 (2017), 425--461
  • with Nimish Shah: The asymptotic distribution of orbits of Kleinian groups, Invent. Math., Volume 187, 2012, 1-35
  • with Laurent Clozel , Emmanuel Ullmo : Hecke operators and equidistribution of Hecke points, Inventiones mathematicae, Volume 144, 2001, pp. 327-351
  • with Alex Kontorovich : Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds, Journal of the American Mathematical Society, Volume 24, 2011, 603–648, Arxiv
  • with Alex Eskin , S. Mozes: On uniform exponential growth for linear groups, Inventiones mathematicae, Volume 160, 2005, pp. 1-30
  • with N. Shah: Equidistribution and counting for orbits of geometrically finite hyperbolic groups, Journal of the American Mathematical Society, Volume 26, 2013, pp. 511-562
  • with Alexander Gorodnik : Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary, Duke Mathematical Journal, Volume 139, 2007, pp. 483-525
  • with Alex Eskin: Ergodic theoretic proof of equidistribution of Hecke points, Ergodic Theory and Dynamical Systems, Volume 26, 2006, pp. 163-167
  • Proceedings of the International Congress of Mathematicians (2010): Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond pdf

Web links

Individual evidence

  1. ↑ Hee Oh in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ See Dana Mackenzie A tisket, a tasket, an Apollonian basket , American Scientist, Volume 98, 2010, pp. 10-14. The essay won the Chauvenet Prize
personal data
SURNAME Oh hee
BRIEF DESCRIPTION South Korean mathematician
DATE OF BIRTH October 27, 1969
PLACE OF BIRTH South Korea