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주요 연구 분야

정수론 : Class field theory, Quadratic forms, Modular forms

- Hilbert’s 12th problem

- Extended form class groups over number fields

- Generalized modular forms

교수 주요이력

  단국대학교 수학과 부교수, 2020 3 1 ~

 연구교수이화여대 수리과학연구소, 2019 9 1 ~ 2020 2 28.

 박사후과정연구원이화여대 수리과학연구소, 2019 8 1 ~ 2019 8 31.

 선임연구원성균관대학교 AORC, 2017 8 1 ~ 2019 7 31.

 박사후 연구원성균관대학교 AORC, 2016 8 1 ~ 2017 7 31.

 박사후 연구원국가수리과학연구소, 2014 8 12016 2 28.

 연구조교수포항공대 PMI 연구소, 2012 12 1 ~ 2014 7 23.

 박사후 연구원포항공대 PMI 연구소, 2012 9 1 ~ 2012 11 30.

 연수연구원, KAIST 자연과학연구소, 2011 9 1 ~ 2012 8 31.

 조교, KAIST 수리과학과, 2007년 봄학기2011년 봄학기,

 이학박사, KAIST 수리과학과 석박사 통합과정, 2011 8 19일.

 이학사, KAIST 수학과 수학전공, 2005 2 18.

 한성과학고, 2001 2 16.

연구실적

 정호윤구자경신동화

On some extension of Gauss’work and applications, Open Math., to appear.

 정호윤김창헌

Modularity of Galois traces of ray class invariants, Ramanujan J., to appear.

 엄익선정호윤구자경신동화

Composition law and complex multiplication, J. Number Theory, 209 (2020),

396~420.

 엄익선정호윤

On some automorphic properties of Galois traces of class invariants from

generalized Weber functions of level 5, Open Math., 17 (2019), 1631~1651.

 정호윤김창헌권순학권영욱

Modularity of Galois traces of Weber’s resolvents, J. Number Theory, 203

(2019), 249~275.

 정호윤구자경신동화

Primitive and totally primitive Fricke families with applications (II), J. Math.

Anal. Appl., 472 (2019), no. 1, 432~446.

 정호윤구자경신동화

Generation of ray class fields modulo 2, 3, 4 or 6 by using the Weber function, J.

Korean Math. Soc., 55 (2018), no. 2, 343~372.

 정호윤구자경신동화

Primitive and totally primitive Fricke families with applications, Results Math.,

71 (2017), issue 3-4, 841~858.

 정호윤구자경신동화

On some Fricke families and application to the Lang-Schertz conjecture, Proc. R.

Soc. Edinb. Sect. A-Math., 146 (2016), issue 4, 723~740.

 정호윤구자경신동화,

Application of Weierstrass units to relative power integral bases, Rev. Mat.

Iberoam., 30 (2014), no. 4, 1489~1498.

 정호윤구자경신동화,

On some arithmetic properties of Siegel functions (II), Forum Math., 26 (2014),

no. 1, 25~57.

 정호윤구자경신동화,

Normal bases of ray class fields over imaginary quadratic fields, Math. Zeit., 271

(2012), no. 1, 109~116.

 정호윤구자경신동화,

Ray class invariants over imaginary quadratic fields, Tohoku Math. J., 63 (2011),

no. 3, 413~ 426.

 정호윤구자경신동화,

Generation of ray class fields by elliptic units, Bull. London Math. Soc., 41

(2009), issue 5, 935~942.

 On some extension of Gauss’ work and applications, Canadian Number Theory

Association Conference (CNTA XV), 2018 7 11캐나다 라발 대학교.

 Generation of ray class fields modulo 2 or 3 by using the Weber function.

International Conference for the 70th Anniversary of Korean Mathematical Society, 2016 10 22서울대학교.

 Primitive and totally primitive Fricke families with applications.

29th Journees Arithmetiques, 2015 7 7헝가리 데브레센 대학교.