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  • 교수/구성원
  • 전임교수

교수/구성원

전임교수

  • 교수 대수학(정수론)
  • 김창헌

관심분야

Number Theory (modular forms and elliptic curves)

학력

  • (PhD) 1994.03 ? 1999.08 Korea Advanced Institute of Science and Technology (KAIST)

약력/경력

  • 2004.03-2014.02 Seoul Women’s University, Hanyang University
  • 2003.10-2004.02 Korea Institute for Advanced Study (KIAS)
  • 2002.10-2003.09 Mathematical Institute at Heidelberg University
  • 2001.09-2002.10 Max-Planck Institute for Mathematics
  • 2010.01 - KIAS associate member

학술지 논문

  • (2023)  Eichler-Shimura isomorphism and vector-valued Hecke eigenpolynomials.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  517,  1
  • (2022)  ON THE POCKLINGTON-PERALTA SQUARE ROOT ALGORITHM IN FINITE FIELDS.  BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY.  59,  6
  • (2022)  On Cryptographic Parameters of Permutation Polynomials of the form x(r)h(x((2n-1)/d)).  IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES.  E105,  8
  • (2021)  Arithmetic of weakly holomorphic Hecke eigenforms.  ADVANCES IN MATHEMATICS.  384,  1
  • (2021)  Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms.  RAMANUJAN JOURNAL.  54,  1
  • (2021)  Modularity of Galois traces of ray class invariants.  RAMANUJAN JOURNAL.  54,  2
  • (2020)  Congruences for Hecke eigenvalues in minus spaces.  JOURNAL OF NUMBER THEORY.  217,  1
  • (2020)  Bielliptic intermediate modular curves.  JOURNAL OF PURE AND APPLIED ALGEBRA.  224,  1
  • (2019)  Rationality and p-adic properties of reduced forms of half-integral weight.  JOURNAL OF NUMBER THEORY.  204,  1
  • (2019)  Modularity of Galois traces of Weber's resolvents.  JOURNAL OF NUMBER THEORY.  203,  1
  • (2019)  Representations of Bell-Type Quaternary Quadratic Forms.  RESULTS IN MATHEMATICS.  74,  2
  • (2019)  Arithmetic properties for the minus space of weakly holomorphic modular forms.  JOURNAL OF NUMBER THEORY.  196,  1
  • (2019)  On the Cipolla-Lehmer type algorithms in finite fields.  APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING.  30,  2
  • (2018)  On the algebraicity of coefficients of half-integral weight mock modular forms.  OPEN MATHEMATICS.  16, 
  • (2017)  Rational period functions and indefinite binary quadratic forms in higher level cases.  ACTA ARITHMETICA.  179,  4
  • (2017)  Eichler-Shimura isomorphism in higher level cases and its applications.  JOURNAL OF NUMBER THEORY.  177,  1
  • (2017)  Normalizers of intermediate congruence subgroups of the Hecke subgroups.  OPEN MATHEMATICS.  15,  1
  • (2017)  Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications.  OPEN MATHEMATICS.  15,  1
  • (2016)  Notes on Weierstrass Points of Modular Curves X-0(N).  TAIWANESE JOURNAL OF MATHEMATICS.  20,  6
  • (2016)  Zagier-lift type arithmetic in harmonic weak Maass forms.  JOURNAL OF NUMBER THEORY.  169,  1

학술회의논문

  • (2018)  Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials.  Advances in Mathematics (2018 China-Korea International Conference on Matrix Theory with Applications (ICMTA2018)).  중국
  • (2017)  Modularity of Galois traces of Weber's resolvents.  Trends in Modular Forms.  대한민국
  • (2016)  On the infinite product exponents of meromorphic modular forms for certain arithmetic groups.  Acta Arithmeticae (2016 China-Korean International Conference on Matrix Theory with Applications).  중국
  • (2016)  Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials.  Advances in Mathematics (CTNT 2016 Research Conference Elliptic Curves, Modular Forms and Related Topics).  미국
  • (2016)  Rational period functions in higher level cases.  Journal of number theory (Hokkaido University-KAIST(ASARC) Joint Workshop Algebra and Geometry.  일본
  • (2015)  Congruences for Hecke eigenvalues in higher level cases.  Journal of number theory (Eisenstein Series on Kac-Moody Groups and Applications to Physics).  대한민국
  • (2015)  Some remarks on Hurwitz-Kronecker class numbers.  Ramanujan Journal (Pure and Applied Number Theory School).  대한민국
  • (2015)  On the infinite product exponents of meromorphic modular forms for certain arithmetic groups.  Acta Arithmetica (2015 ASARC 정수론 워크샵).  대한민국
  • (2015)  On the Mordell-Weil group of elliptic curves over number fields.  Acta Arithmetica (2015 호남수학회 정기총회 및 학술논문발표회).  대한민국