School of Mathematics
Choi, Youn-Seo
Professor Emeritus
q-hypergeometric series, Ramanujan's mock theta function
Youn-Seo Choi works on analytic number theory, especially q-series and the subjects related to the Jacobian theta functions. He has tried to understand and prove the results connected to Ramanujan's mock theta functions in Ramanujan's Lost Notebook with the theory based on q-hypergeometric series and the combinatorics. He has also studied the theory of the Jacobian's theta functions which can be applied to extend the understanding of the Jacobian elliptic functions and the related topics.
- March. 1985-Feb. 1989 : Bachelor in Mathemaics, Korea University in Seoul, Korea
- March 1989-Feb. 1992 : Master in Mathemaics, Korea University in Seoul, Korea
- Aug. 1992-May. 1999 : Ph.D. in Mathematics, University of Illinois at Urbana-Champaign
- June. 1999- Feb. 2001 : Research fellow, Korea Institute for Advanced Study
- March. 2001 - Feb. 2005 : Assistant professor, Korea University
- March. 2005- June 2005 : Associate professor, Korea University
- July. 2005 - Present : Professor, Korea Institute for Advanced Study
- 1999 : The Bateman Prize in Number Theory
- 2003 : 13th annual best science paper award from KOFST
Publications at KIAS
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Overpartitions into distinct parts without short sequences
JOURNAL OF NUMBER THEORY, 2017 -
MODULAR TRANSFORMATIONS INVOLVING THE MORDELL INTEGRAL IN RAMANUJAN'S LOST NOTEBOOK
PACIFIC JOURNAL OF MATHEMATICS, 2014 -
Cubic analogues of the Jacobian theta functions and the Jacobian elliptic functions
JOURNAL OF NUMBER THEORY, 2013 -
Partition identities from third and sixth order mock theta functions
EUROPEAN JOURNAL OF COMBINATORICS, 2012 -
The basic bilateral hypergeometric series and the mock theta functions
RAMANUJAN JOURNAL, 2011 -
Tenth order mock theta functions in Ramanujan's lost notebook III
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007 -
Tenth order mock theta functions in Ramanujan's lost notebook II
ADVANCES IN MATHEMATICS, 2000
Selected Publications
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Overpartitions into distinct parts without short sequences
JOURNAL OF NUMBER THEORY v.175, 117-133p. 2017 -
MODULAR TRANSFORMATIONS INVOLVING THE MORDELL INTEGRAL IN RAMANUJAN'S LOST
PACIFIC JOURNAL OF MATHEMATICS, v.272, no.1 (2014), 59-85 -
Cubic analogues of the Jacobian theta functions and the Jacobian elliptic functions
JOURNAL OF NUMBER THEORY, v.133, no.6 (2013), 1887-1906 -
Partition identities from third and sixth order mock theta functions
EUROPEAN JOURNAL OF COMBINATORICS, v.33, no.8 (2012), 1739-1754 -
The Basic Bilateral Hypergeometric Series and the Mock Theta Functions
Ramanujan Journal, 24 (2011), no. 3, 345-386 -
Ramanujan's forty identities for the Rogers-Ramanujan functions
Memoirs of the A.M.S., vol 188, #880, (2007) -
Tenth order mock theta functions in Ramanujan's lost notebook
Proceedings of the London Mathematical Society, (1) 94 (2007) 26-52 -
Mock Theta functions in Ramanujan's Lost Notebook (Survey)
RIMS 1512-analytic number theory, (2006) 44-53 -
Generalization of two identities in Ramanujan's lost notebook
Acta Arith. 114 (2004), no. 4, 369-389 -
Identities for Ramanujan's sixth-order mock theta functions
Q. J. Math. 53 (2002), no. 2, 147-159 -
Tenth order mock theta functions in Ramanujan's lost notebook. IV.
Trans. Amer. Math. Soc. 354 (2002), no. 2, 705-733 -
Tenth order mock theta functions in Ramanujan's lost notebook. II.
Adv. Math. 156 (2000), no. 2, 180-285 -
The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society.
(Columbia, MO, 1998), 15-56, Contemp. Math., 236, Amer. Math. Soc., Providence, RI, 1999 -
Tenth order mock theta functions in Ramanujan's lost notebook
Invent. Math. 136 (1999), no. 3, 497--569
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