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Ewha University

자연과학대학

이윤진(李倫珍) 교수

수학과 /스크랜튼학부

이윤진 프로필 사진
이윤진 교수는 이화여자대학교 자연과학대학 수학전공 (스크랜튼 학부 겸임) 교수로 정수론(Number Theory) 및 부호이론(Coding Theory) 분야에서 활발히 연구 활동을 하고 있다. 미국 Brown 대학 수학과에서 박사학위를 받았으며, Arizona State University, University of Delaware, Smith College, Simon Fraser University와 같은 미국 및 캐나다의 유수대학에서 교수로 활동한 경력을 가지고 있다. 현재 이화수리과학연구소 (Ewha Institute of Mathematical Sciences)의 소장으로서 중점연구과제를 수행하며 연구소를 운영하고 있다. 대외적으로 SCI 유수 국제저널인 Discrete Mathematics 의 편집위원으로 위촉되어 2022년 7월부터 editor로서 활동하고 있다. 또한, SCI저널인 Bulletin of the Korean Mathematical Society (대한수학회보)의 편집장 (chief-in-editor, 2017-2018)으로 위촉되어 활동하였고, 현재 대한수학회지 (Journal of the Korean Mathematical Society)의 managing editor로 활동하고 있다. 2023년에는 여성수리과학회(KWMS) 부회장으로 활동하고 있다. 약 4년간 이화여자대학교의 입학처장직을 수행하였고 (2017년-2021년) 7년간 이화여자대학교 BK 21 plus 사업팀 ("수리과학 글로벌 여성인재 양성팀") 의 팀장직(2013년-2019년)을 수행한 바 있다. 현재 교육부 대입정책자문위원 (2022년-2023년)으로 활동하고 있다. 또한, 이화여자대학교 수학과 학과장과 수리물리과학부 학부장(2011년-2013년, 2024-현재)으로, 정보보호연계전공 주임 교수(2010-2014, 2016-2017)로 활동하였으며, 현재 스크랜튼 학부 겸임 교수(2009년 이후)로 활동하고 있다.  2009년에 이화여자대학교 "강의우수교원상"을 수여 받았고,  2018년 한국과학기술 한림원(KAST)과 에쓰오일 과학문화재단에서 수여한 "제7회 에쓰오일 우수학위논문상"의 수상 실적을 보유하고 있다. 2022년에는 "올해의 이화인상"을 수여 받았고, 2023년과 2024년에 이화여자대학교 "연구비 우수 교원상"을 수여 받았다. 주요 연구 분야는 Number Theory(정수론)와 Algebraic Coding Theory(대수적 부호 이론) 이고, 현재까지 총 119편의 논문을 SCI급 국제 유수 학술지에 발표하였고 "RSD 코드에 기반한 DNA 코드 생성 방법"에 관한 특허를 보유하고 있다.
  • 수학과장/수리과학연구소장
  • 종합과학관 B동 B313호
  • 02-3277-6653
연구실적
  • CONNECTION OF p-ARY t-WEIGHT LINEAR CODES TO RAMANUJAN CAYLEY GRAPHS WITH t + 1 EIGENVALUES Advances in Mathematics of Communications, 2023, v.17 no.2, 367-380
    SCIE Scopus dColl.
  • Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds International Journal of Number Theory, 2023, v.19 no.3, 621-637
    SCIE Scopus dColl.
  • The mean value of the class numbers of cubic function fields Journal of Mathematical Analysis and Applications, 2023, v.517 no.1, 126582
    SCIE Scopus dColl.
  • p-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on Γ1(4) Taiwanese Journal of Mathematics, 2023, v.27 no.1, 23-38
    SCIE Scopus dColl.
  • CONGRUENT NUMBERS AND LOWER BOUNDS ON CLASS NUMBERS OF REAL QUADRATIC FIELDS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, v.150 no.11, 4671-4684
    SCIE Scopus dColl.
  • Characterization of p-ary functions in terms of association schemes and its applications Journal of Combinatorial Theory. Series A, 2022, v.187, 105576
    SCIE Scopus dColl.
  • Further improvement on index bounds Designs, Codes, and Cryptography, 2022
    SCIE Scopus dColl.
  • NON-VANISHING OF L-FUNCTIONS FOR CYCLOTOMIC CHARACTERS IN FUNCTION FIELDS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, v.150 no.2, 455-468
    SCIE Scopus dColl.
  • Self-orthogonal codes over Z4 arising from the chain ring Z4[u]/〈u2+1〉 Finite Fields and their Applications, 2022, v.78, 101972
    SCIE Scopus dColl.
  • An infinite family of Griesmer quasi-cyclic self-orthogonal codes Finite Fields and their Applications, 2021, v.76, 101923
    SCIE Scopus dColl.
  • Designing DNA codes from reversible self-dual codes over GF(4) Discrete Mathematics, 2021, v.344 no.1, 112159
    SCIE Scopus dColl.
  • Infinite families of cyclotomic function fields with any prescribed class group rank Journal of Pure and Applied Algebra, 2021 , 106658
    SCIE Scopus dColl.
  • New LCD MDS Codes of Non-Reed-Solomon Type IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, v.67 no.8, 5069-5078
    SCIE Scopus dColl.
  • Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes IEEE COMMUNICATIONS LETTERS, 2020, v.24 no.6, 1159-1162
    SCIE Scopus dColl.
  • Classification of self-dual cyclic codes over the chain ring Zp[ u] / ⟨ u3⟩ Designs, Codes, and Cryptography, 2020, v.88 no.10, 2247-2273
    SCIE Scopus dColl.
  • Construction of reversible self-dual codes Finite Fields and their Applications, 2020, v.67, 101714
    SCIE Scopus dColl.
  • Construction of single-deletion-correcting DNA codes using CIS codes Designs, Codes, and Cryptography, 2020, v.88 no.12, 2581-2596
    SCIE Scopus dColl.
  • Infinite Families of Optimal Linear Codes Constructed from Simplicial Complexes IEEE Transactions on Information Theory, 2020, v.66 no.11, 6762-6773
    SCIE Scopus dColl.
  • Infinite families of MDR cyclic codes over Z4 via constacyclic codes over Z4[u]∕〈u2−1〉 Discrete Mathematics, 2020, v.343 no.3, 111771
    SCIE Scopus dColl.
  • Infinite families of irregular primes in cyclotomic function fields Journal of Number Theory, 2020, v.207, 1-21
    SCIE Scopus dColl.
  • Ramanujan graphs and expander families constructed from p-ary bent functions Designs, Codes, and Cryptography, 2020, v.88 no.2, 453-470
    SCIE Scopus dColl.
  • Ramanujan's function k(tau) = r(tau) r(2)(2 tau) and its modularity OPEN MATHEMATICS, 2020 , 1727-1741
    SCIE Scopus dColl.
  • Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication MATHEMATICS, 2020, v.8 no.9, 1495
    SCIE Scopus dColl.
  • Characterization of p-ary bent functions in terms of strongly regular graphs IEEE Transactions on Information Theory, 2019, v.65 no.1, 676-684
    SCIE Scopus dColl.
  • Classification of cyclic codes over a non-Galois chain ring Zp[u]/〈u3〉 Finite Fields and their Applications, 2019, v.59, 208-237
    SCIE Scopus dColl.
  • EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 NAGOYA MATHEMATICAL JOURNAL, 2019, v.234, 17-45
    SCIE Scopus dColl.
  • Modular equations of a continued fraction of order six OPEN MATHEMATICS, 2019, v.17, 202-219
    SCIE Scopus dColl.
  • A CONTINUED FRACTION OF ORDER TWELVE AS A MODULAR FUNCTION MATHEMATICS OF COMPUTATION, 2018, v.87 no.312, 2011-2036
    SCIE Scopus dColl.
  • A mass formula for cyclic codes over Galois rings of characteristic p(3) FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52, 214-242
    SCIE Scopus dColl.
  • CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, v.55 no.6, 1469-1483
    SCIE Scopus KCI dColl.
  • Extremal quasi-cyclic self-dual codes over finite fields FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52, 301-318
    SCIE Scopus dColl.
  • History, tradition, and development of journals of the Korean Mathematical Society Science Editing, 2018, v.5 no.2, 113-118
    Scopus dColl.
  • Indivisibility of divisor class numbers of Kummer extensions over the rational function field JOURNAL OF NUMBER THEORY, 2018, v.192, 270-292
    SCIE Scopus dColl.
  • Regulators and class numbers of an infinite family of quintic function fields ACTA ARITHMETICA, 2018, v.185 no.2, 107-125
    SCIE Scopus dColl.
  • The minimum weights of two-point AG codes on norm-trace curves Finite Fields and their Applications, 2018, v.53, 113-139
    SCIE Scopus dColl.
  • Three Ramanujan continued fractions with modularity Journal of Number Theory, 2018, v.188, 299-323
    SCIE Scopus dColl.
  • A level 16 analogue of Ramanujan series for 1/π Journal of Mathematical Analysis and Applications, 2017, v.456 no.1, 177-194
    SCIE Scopus dColl.
  • Constructions of Formally Self-Dual Codes Over Z(4) and Their Weight Enumerators IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, v.63 no.12, 7667-7675
    SCIE Scopus dColl.
  • FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, v.54 no.2, 417-426
    SCIE Scopus KCI dColl.
  • Lee weights of cyclic self-dual codes over Galois rings of characteristic p2 Finite Fields and their Applications, 2017, v.45, 107-130
    SCIE Scopus dColl.
  • Regulators of an Infinite Family of the Simplest Quartic Function Fields CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2017, v.69 no.3, 579-594
    SCIE Scopus dColl.
  • t-CIS codes over GF(p) and orthogonal arrays Discrete Applied Mathematics, 2017, v.217, 601-612
    SCIE Scopus dColl.
  • Complementary information set codes over GF(p) Designs, Codes, and Cryptography, 2016, 19 JAN 2016, 1-15
    SCIE Scopus dColl.
  • Explicit criteria for construction of plateaued functions IEEE Transactions on Information Theory, 2016, v.62 no.12, 7555-7565
    SCIE Scopus dColl.
  • Explicit criterions for p-ary functions being non-bent Journal of Mathematical Analysis and Applications, 2016, v.433 no.2, 1177-1189
    SCIE Scopus dColl.
  • Indivisibility of class numbers of real quadratic function fields Journal of Pure and Applied Algebra, 2016, v.220 no.8, 2828-2835
    SCIE Scopus dColl.
  • Modularity of a Ramanujan-Selberg continued fraction Journal of Mathematical Analysis and Applications, 2016, v.438 no.1, 373-394
    SCIE Scopus dColl.
  • The level 13 analogue of the Rogers–Ramanujan continued fraction and its modularity Journal of Number Theory, 2016, v.168, 306-333
    SCIE Scopus dColl.
  • An efficient construction of self-dual codes Bulletin of the Korean Mathematical Society, 2015, v.52 no.3, 915-923
    SCIE KCI Scopus dColl.
  • Codes over rings and Hermitian lattices Designs, Codes, and Cryptography, 2015, v.76 no.3, 519-535
    SCIE Scopus dColl.
  • Construction of all cubic function fields of a given square-free discriminant INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, v.11 no.6, 1839-1885
    SCIE Scopus dColl.
  • Construction of extremal self-dual codes over Z8 and Z16 Designs, Codes, and Cryptography, 2015, 3 OCT 2015
    SCIE Scopus dColl.
  • [학술지논문] CONNECTION OF p-ARY t-WEIGHT LINEAR CODES TO RAMANUJAN CAYLEY GRAPHS WITH t + 1 EIGENVALUES Advances in Mathematics of Communications, 2023, v.17 no.2 , 367-380
    SCIE
  • [학술지논문] Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, v.19 no.03 , 621-637
    SCIE
  • [학술지논문] The mean value of the class numbers of cubic function fields JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, v.517 no.1 , 126582-126582
    SCIE
  • [학술지논문] p-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Γ_1(4)$ TAIWANESE JOURNAL OF MATHEMATICS, 2023, v.27 no.1 , 23-38
    SCIE
  • [학술지논문] CONGRUENT NUMBERS AND LOWER BOUNDS ON CLASS NUMBERS OF REAL QUADRATIC FIELDS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, v.150 no.11 , 4671-4684
    SCI
  • [학술지논문] Characterization of p-ary functions in terms of association schemes and its applications JOURNAL OF COMBINATORIAL THEORY SERIES A, 2022, v.187 no.0 , 105576-105576
    SCI
  • [학술지논문] Class invariants by Siegel resolvents and the modularity of their Galois traces RAMANUJAN JOURNAL, 2022, v.57 no.1 , 135-152
    SCIE
  • [학술지논문] NON-VANISHING OF L-FUNCTIONS FOR CYCLOTOMIC CHARACTERS IN FUNCTION FIELDS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, v.150 no.2 , 455-468
    SCI
  • [학술지논문] Self-orthogonal codes over Z(4) arising from the chain ring Z(4)[u]/< u(2)+1 > FINITE FIELDS AND THEIR APPLICATIONS, 2022, v.78 no.1 , 101972-101972
    SCI
  • [학술지논문] An infinite family of Griesmer quasi-cyclic self-orthogonal codes FINITE FIELDS AND THEIR APPLICATIONS, 2021, v.76 no.0 , 101923-101923
    SCI
  • [학술지논문] Designing DNA codes from reversible self-dual codes over GF(4) DISCRETE MATHEMATICS, 2021, v.344 no.1 , 112159-112159
    SCI
  • [학술지논문] Infinite families of cyclotomic function fields with any prescribed class group rank JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, v.225 no.9 , 1-20
    SCI
  • [학술지논문] New LCD MDS Codes of Non-Reed-Solomon Type IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, v.67 no.8 , 5069-5078
    SCI
  • [학술지논문] Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes IEEE COMMUNICATIONS LETTERS, 2020, v.24 no.6 , 1159-1162
    SCI
  • [학술지논문] Classification of self-dual cyclic codes over the chain ring Z(p)[u]/< u(3)> DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.10 , 2247-2273
    SCI
  • [학술지논문] Construction of reversible self-dual codes FINITE FIELDS AND THEIR APPLICATIONS, 2020, v.67 no.1 , 101714-101714
    SCI
  • [학술지논문] Construction of single-deletion-correcting DNA codes using CIS codes DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.12 , 2581-2596
    SCI
  • [학술지논문] Infinite Families of Optimal Linear Codes Constructed From Simplicial Complexes IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, v.66 no.11 , 6762-6773
    SCI
  • [학술지논문] Infinite families of MDR cyclic codes over Z(4) via constacyclic codes over Z(4)[u]/< u(2)-1 > DISCRETE MATHEMATICS, 2020, v.343 no.3 , 1-12
    SCI
  • [학술지논문] Infinite families of irregular primes in cyclotomic function fields JOURNAL OF NUMBER THEORY, 2020, v.207 no.0 , 1-21
    SCI
  • [학술지논문] Ramanujan graphs and expander families constructed from p-ary bent functions DESIGNS CODES AND CRYPTOGRAPHY, 2020, v.88 no.2 , 453-470
    SCI
  • [학술지논문] Ramanujan's function k(tau) = r(tau) r(2)(2 tau) and its modularity OPEN MATHEMATICS, 2020, v.18 no.0 , 1727-1741
    SCIE
  • [학술지논문] Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication MATHEMATICS, 2020, v.8 no.9 , 1495-1495
    SCIE
  • [학술지논문] Characterization of p-ary Bent Functions in Terms of Strongly Regular Graphs IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, v.65 no.1 , 676-684
    SCI
  • [학술지논문] Classification of cyclic codes over a non-Galois chain ring Z(p) [u] / < u(3)> FINITE FIELDS AND THEIR APPLICATIONS, 2019, v.59 no.1 , 208-237
    SCI
  • [학술지논문] EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 NAGOYA MATHEMATICAL JOURNAL, 2019, v.234 no.1 , 17-45
    SCI
  • [학술지논문] Modular equations of a continued fraction of order six OPEN MATHEMATICS, 2019, v.17 no.0 , 202-219
    SCIE
  • [학술지논문] A CONTINUED FRACTION OF ORDER TWELVE AS A MODULAR FUNCTION MATHEMATICS OF COMPUTATION, 2018, v.87 no.312 , 2011-2036
    SCI
  • [학술지논문] A mass formula for cyclic codes over Galois rings of characteristic p(3) FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52 no.0 , 214-242
    SCI
  • [학술지논문] CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, v.55 no.6 , 1469-1483
    SCIE
  • [학술지논문] Extremal quasi-cyclic self-dual codes over finite fields FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.52 no.0 , 301-318
    SCI
  • Algorithms for Constructing Balanced Plateaued Functions With Maximal Algebraic Degrees IEEE Transactions on Information Theory, 2024, v.70 no.2, 1408-1421
    SCIE Scopus dColl.
  • Construction of quasi-cyclic self-dual codes over finite fields Linear and Multilinear Algebra, 2024, v.72 no.6, 1017-1043
    SCIE Scopus dColl.
  • Optimal Binary Few-Weight Codes Using a Mixed Alphabet Ring and Simplicial Complexes IEEE Transactions on Information Theory, 2024, v.70 no.7, 4865-4878
    SCIE Scopus dColl.
  • Structure of the space of polyharmonic Maass forms with an application to L-values Journal of Mathematical Analysis and Applications, 2024, v.538 no.2, 128452
    SCIE Scopus dColl.
  • The Griesmer codes of Belov type and optimal quaternary codes via multi-variable functions Cryptography and Communications, 2024, v.16 no.3, 579-600
    SCIE Scopus dColl.
  • The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups Journal of Number Theory, 2024, v.259, 338-356
    SCIE Scopus dColl.
  • Average value of the divisor class numbers of real cubic function fields OPEN MATHEMATICS, 2023, v.21 no.1, 20230160
    SCIE Scopus dColl.
  • The theta cycles for modular forms modulo prime powers Forum Mathematicum, 2023, v.35 no.3, 591-613
    SCIE Scopus dColl.
  • Mean Values of Derivatives of L-functions for Cyclotomic Characters in Function Fields Taiwanese Journal of Mathematics, 2022, v.26 no.6, 1113-1131
    SCIE Scopus dColl.
  • AN UPPER BOUND ON THE CHEEGER CONSTANT OF A DISTANCE-REGULAR GRAPH BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, v.54 no.2, 507-519
    SCIE Scopus KCI dColl.
  • Construction of isodual codes over GF(q) Finite Fields and their Applications, 2017, v.45, 372-385
    SCIE Scopus dColl.
  • Erratum: A Cheeger inequality of a distance regular graph using Green's function (Discrete Mathematics (2013) 313:20 (2337-2347)) Discrete Mathematics, 2015, v.338 no.9, 1621-1623
    SCIE Scopus dColl.
  • Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields JOURNAL OF NUMBER THEORY, 2015, v.147, 342-363
    SCIE dColl.
  • Boolean functions with MacWilliams duality DESIGNS CODES AND CRYPTOGRAPHY, 2014, v.72 no.2, 273-287
    SCIE Scopus dColl.
  • Hermitian self-dual codes over F-22m + uF(22m) FINITE FIELDS AND THEIR APPLICATIONS, 2014, v.25, 106-131
    SCIE Scopus dColl.
  • Necessary Conditions for the Existence of Regular p-Ary Bent Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, v.60 no.3, 1665-1672
    SCIE Scopus dColl.
  • [학술지논문] Algorithms for constructing balanced plateaued functions with maximal algebraic degrees IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, v.70 no.2 , 1408-1421
    SCIE
  • [학술지논문] Characterization of weakly regular $p$-ary bent functions of $\ell$ form DESIGNS CODES AND CRYPTOGRAPHY, 2024, v.92 no.10 , 2731-2741
    SCIE
  • [학술지논문] Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series RAMANUJAN JOURNAL, 2024, v.65 no.2 , 659-677
    SCIE
  • [학술지논문] Constructing optimal few weight quaternary linear codes via multivariable functions CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, v.1 no.1 , 1-25
    SCIE
  • [학술지논문] Construction of quasi-cyclic self-dual codes over finite fields LINEAR & MULTILINEAR ALGEBRA, 2024, v.72 no.6 , 1017-1043
    SCIE
  • [학술지논문] Improvements of the Hasse-Weil-Serre bound over global function fields FINITE FIELDS AND THEIR APPLICATIONS, 2024, v.1 no.1 , 1-20
    SCIE
  • [학술지논문] Infinite Families of Few Weight Optimal Binary Linear Codes From Multivariable Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, v.70 no.10 , 6912-6931
    SCIE
  • [학술지논문] Optimal binary few-weight codes using a mixed alphabet ring and simplicial complexes IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, v.70 no.7 , 4865-4878
    SCIE
  • [학술지논문] Structure of the space of polyharmonic Maass forms with an application to $L$-values JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, v.538 no.2 , 1-27
    SCIE
  • [학술지논문] The Griesmer codes of Belov type and optimal quaternary codes via multi-variable functions CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, v.1 no.1 , 1-20
    SCIE
  • [학술지논문] The finitude of tamely ramified pro-$p$ extensions of number fields with cyclic $p$-class groups JOURNAL OF NUMBER THEORY, 2024, v.259 no.1 , 338-356
    SCIE
  • [학술지논문] Average value of the divisor class numbers of real cubic function fields OPEN MATHEMATICS, 2023, v.21 no.1 , 1-15
    SCIE
  • [학술지논문] The theta cycles for modular forms modulo prime powers FORUM MATHEMATICUM, 2023, v.35 no.3 , 591-613
    SCIE
  • [학술지논문] Further improvement on index bounds DESIGNS CODES AND CRYPTOGRAPHY, 2022, v.90 no.12 , 2813-2821
    SCI
  • [학술지논문] Mean Values of Derivatives of L-functions for Cyclotomic Characters in Function Fields TAIWANESE JOURNAL OF MATHEMATICS, 2022, v.26 no.6 , 1113-1131
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  • [학술지논문] History, tradition, and development of journals of the Korean Mathematical Society Science Editing, 2018, v.5 no.2 , 113-118
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  • [학술지논문] Indivisibility of divisor class numbers of Kummer extensions over the rational function field JOURNAL OF NUMBER THEORY, 2018, v.192 no.1 , 270-292
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  • [학술지논문] Regulators and class numbers of an infinite family of quintic function fields ACTA ARITHMETICA, 2018, v.185 no.2 , 107-125
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  • [학술지논문] The minimum weights of two-point AG codes on norm-trace curves FINITE FIELDS AND THEIR APPLICATIONS, 2018, v.53 no.0 , 113-139
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  • [학술지논문] Three Ramanujan continued fractions with modularity JOURNAL OF NUMBER THEORY, 2018, v.188 no.0 , 299-323
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  • [학술지논문] A level 16 analogue of Ramanujan series for 1/pi JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, v.456 no.1 , 177-194
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  • [학술지논문] AN UPPER BOUND ON THE CHEEGER CONSTANT OF A DISTANCE-REGULAR GRAPH BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회보), 2017, v.54 no.2 , 507-519
    SCIE
  • [학술지논문] Construction of isodual codes over GF(q) FINITE FIELDS AND THEIR APPLICATIONS, 2017, v.45 no.1 , 372-385
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  • [학술지논문] Constructions of Formally Self-Dual Codes Over Z(4) and Their Weight Enumerators IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, v.63 no.12 , 7667-7675
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  • [학술지논문] FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회지), 2017, v.54 no.2 , 417-426
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  • [학술지논문] Lee weights of cyclic self-dual codes over Galois rings of characteristic p(2) FINITE FIELDS AND THEIR APPLICATIONS, 2017, v.45 no.1 , 107-130
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  • [학술지논문] Regulators of an Infinite Family of the Simplest Quartic Function Fields CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2017, v.69 no.3 , 579-594
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  • [학술지논문] t-CIS codes over GF (p) and orthogonal arrays DISCRETE APPLIED MATHEMATICS, 2017, v.217 no.1 , 601-612
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  • [학술지논문] Complementary information set codes over GF(p) DESIGNS CODES AND CRYPTOGRAPHY, 2016, v.81 no.3 , 541-555
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  • [학술지논문] Construction of extremal self-dual codes over Z(8) and Z(16) DESIGNS CODES AND CRYPTOGRAPHY, 2016, v.81 no.2 , 239-257
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  • [학술지논문] Explicit Criteria for Construction of Plateaued Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, v.62 no.12 , 7555-7565
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  • [학술지논문] Explicit criterions for p-ary functions being non-bent JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, v.433 no.2 , 1177-1189
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  • [학술지논문] Indivisibility of class numbers of real quadratic function fields JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, v.220 no.8 , 2828-2835
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  • [학술지논문] Modularity of a Ramanujan-Selberg continued fraction JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, v.438 no.1 , 373-394
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  • [학술지논문] The level 13 analogue of the Rogers-Ramanujan continued fraction and its modularity JOURNAL OF NUMBER THEORY, 2016, v.168 no.0 , 306-333
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  • [학술지논문] A Cheeger inequality of a distance regular graph using Green's function (vol 313, pg 2337, 2013) DISCRETE MATHEMATICS, 2015, v.338 no.9 , 1621-1623
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  • [학술지논문] AN EFFICIENT CONSTRUCTION OF SELF-DUAL CODES BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(대한수학회보), 2015, v.52 no.3 , 915-923
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  • [학술지논문] Codes over rings and Hermitian lattices DESIGNS CODES AND CRYPTOGRAPHY, 2015, v.76 no.3 , 519-535
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  • [학술지논문] Construction of all cubic function fields of a given square-free discriminant INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, v.11 no.6 , 1839-1885
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  • [학술지논문] Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields JOURNAL OF NUMBER THEORY, 2015, v.147 no.1 , 342-363
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  • [학술지논문] Boolean functions with MacWilliams duality DESIGNS CODES AND CRYPTOGRAPHY, 2014, v.72 no.2 , 273-287
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  • [학술지논문] Hermitian self-dual codes over F-22m + uF(22m) FINITE FIELDS AND THEIR APPLICATIONS, 2014, v.25 no.1 , 106-131
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  • [학술지논문] Necessary Conditions for the Existence of Regular p-Ary Bent Functions IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, v.60 no.3 , 1665-1672
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  • [학술지논문] A Cheeger inequality of a distance regular graph using Green's function DISCRETE MATHEMATICS, 2013, v.313 no.20 , 2337-2347
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  • [학술지논문] Classification of Extremal Self-Dual Quaternary Codes of Lengths 30 and 32 IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, v.59 no.4 , 2352-2358
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  • [학술지논문] Construction of extremal self-dual codes over F-2 + uF(2) with an automorphism of odd order (vol 18, pg 971, 2012) FINITE FIELDS AND THEIR APPLICATIONS, 2013, v.23 no.0 , 103-104
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  • [학술지논문] EXPLICIT EXPRESSION OF THE KRAWTCHOUK POLYNOMIAL VIA A DISCRETE GREEN'S FUNCTION JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, v.50 no.0 , 509-527
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  • [학술지논문] EXPLICIT ISOGENY THEOREMS FOR DRINFELD MODULES PACIFIC JOURNAL OF MATHEMATICS, 2013, v.263 no.1 , 87-116
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  • [학술지논문] Galois characters arising from Drinfeld modules JOURNAL OF NUMBER THEORY, 2013, v.133 no.3 , 888-896
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  • [학술지논문] Infinite families of elliptic curves over Dihedral quartic number fields JOURNAL OF NUMBER THEORY, 2013, v.133 no.1 , 115-122
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  • [학술지논문] NEWTON POLYGONS, SUCCESSIVE MINIMA, AND DIFFERENT BOUNDS FOR DRINFELD MODULES OF RANK 2 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, v.141 no.0 , 83-91
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  • [학술지논문] Nonexistence of certain types of plateaued functions DISCRETE APPLIED MATHEMATICS, 2013, v.161 no.0 , 2745-2748
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  • [학술지논문] THIN ADDITIVE BASES FOR MONIC POLYNOMIALS IN F-q[t] BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, v.50 no.0 , 399-405
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  • [학술지논문] CONSTRUCTION OF SELF-DUAL CODES OVER F_2 + uF_2 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, v.49 no.1 , 135-143
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  • [학술지논문] Coefficients of exponential functions attached to Drinfeld modules of rank 2 MANUSCRIPTA MATHEMATICA, 2012, v.139 no.1-2 , 123-136
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  • [학술지논문] Construction of extremal self-dual codes over F_2 + uF_2 with an automorphism of odd order FINITE FIELDS AND THEIR APPLICATIONS, 2012, v.18 no.5 , 971-992
    SCI
  • [학술지논문] Construction of quasi-cyclic self-dual codes FINITE FIELDS AND THEIR APPLICATIONS, 2012, v.18 no.3 , 613-632
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  • [학술지논문] Decomposition of places in dihedral and cyclic quintic trinomial extensions of global fields MANUSCRIPTA MATHEMATICA, 2012, v.137 no.1-2 , 107-127
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  • [학술지논문] MacWilliams duality and a Gleason-type theorem on self-dual bent functions DESIGNS CODES AND CRYPTOGRAPHY, 2012, v.63 no.3 , 295-304
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  • [학술지논문] Binary formally self-dual odd codes DESIGNS CODES AND CRYPTOGRAPHY, 2011, v.61 no.2 , 141-150
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  • [학술지논문] CONSTRUCTION OF SELF-DUAL CODES WITH AN AUTOMORPHISM OF ORDER p ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2011, v.5 no.1 , 23-36
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  • [학술지논문] FAMILIES OF ELLIPTIC CURVES OVER CUBIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS MATHEMATICS OF COMPUTATION, 2011, v.80 no.273 , 579-591
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  • [학술지논문] FAMILIES OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS WITH PRESCRIBED TORSION SUBGROUPS MATHEMATICS OF COMPUTATION, 2011, v.80 no.276 , 2395-2410
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  • [학술지논문] MDS Poset-Codes Satisfying the Asymptotic Gilbert-Varshamov Bound in Hamming Weights IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, v.57 no.12 , 8021-8026
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  • [학술지논문] The l-Rank Structure of a Global Function Field Fields Institute Communications, 2011, v.60 , 145-166
  • [학술지논문] CLASS GROUPS OF GLOBAL FUNCTION FIELDS WITH CERTAIN SPLITTING BEHAVIORS OF THE INFINITE PRIME PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, v.137 , 415-424
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  • [학술지논문] Construction of cubic self-dual codes Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 2396-2399
  • [학술지논문] Self-dual codes using the building-up constructions Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 2400-2402
  • [학술지논문] Construction of hyperelliptic function fields of high three-rank MATHEMATICS OF COMPUTATION, 2008, v.77 no.261 , 503-530
    SCI
  • [학술지논문] Construction of self-dual codes over finite rings Zpm JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, v.115 no.3 , 407-422
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  • [학술지논문] Eta pairing computation on general divisors over hyperelliptic curves y(2)=x(P)-x+d JOURNAL OF SYMBOLIC COMPUTATION, 2008, v.43 no.6-7 , 452-474
    SCI
  • [학술지논문] New MDS or near-MDS self-dual codes IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, v.54 no.9 , 4354-4360
    SCI
  • [학술지논문] Reflection theorem for divisor class groups of relative quadratic function fields JOURNAL OF NUMBER THEORY, 2008, v.128 no.7 , 2127-2137
    SCI
  • [학술지논문] Tate pairing computation on the divisors of hyperelliptic curves of genus 2 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, v.45 no.4 , 1057-1073
    SCI
  • [학술지논문] Construction of MDS self-dual codes over Galois rings DESIGNS CODES AND CRYPTOGRAPHY, 2007, v.45 no.2 , 247-258
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  • [학술지논문] Eta pairing computation on general divisors over hyperelliptic curves $y^2 = x^7 - x \pm 1$ Lecture Notes in Computer Science , 2007, v.4575 no.1 , 349-366
  • [학술지논문] The Scholz theorem in function fields JOURNAL OF NUMBER THEORY, 2007, v.122 no.2 , 408-414
    SCI
  • [학술지논문] Class number divisibility of relative quadratic function fields ACTA ARITHMETICA, 2006, v.121 no.2 , 161-173
    SCI
  • [학술지논문] Higher rank subgroups in the class groups of imaginary function fields JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, v.207 no.1 , 51-62
    SCI
  • [학술지논문] Class groups of imaginary function fields: The inert case PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, v.133 no.10 , 2883-2889
    SCI
  • [학술지논문] The structure of the class groups of global function fields with any unit rank Journal of the Ramanujan Mathematical Society , 2005, v.20 no.2 , 125-145
  • [학술지논문] The unit rank classification of a cubic function field by its discriminant MANUSCRIPTA MATHEMATICA, 2005, v.116 no.2 , 173-181
    SCI
  • [학술지논문] Cohen-Lenstra heuristics and the Spiegelungssatz; function fields JOURNAL OF NUMBER THEORY, 2004, v.106 no.2 , 187-199
    SCI
  • [학술지논문] Euclidean and Hermitian self-dual MDS codes over large finite fields JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, v.105 no.1 , 79-95
    SCI
  • [학술지논문] MDS Self-dual Codes Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004, 526-526
  • [학술지논문] Computation of the fundamental units and the regulator of a cyclic cubic function field EXPERIMENTAL MATHEMATICS, 2003, v.12 no.2 , 211-225
    SCI
  • [학술지논문] Cohen-Lenstra heuristics and the Spiegelungssatz: Number fields JOURNAL OF NUMBER THEORY, 2002, v.92 no.1 , 37-66
    SCI
  • [저역서] 숫자 도깨비 ! 난 찾을 수 있어 ("You can count on monsters" by Richard Evan Schwartz) , 2011, 253
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  • [학술발표] Algorithms for construction of good plateaued functions 2024 East Asian Core Doctoral Forum on Mathematics, 중국, 상하이, 2024-01-08 2024 East Asian Core Doctoral Forum on Mathematics, 2024
  • [학술발표] Average value of the divisor class numbers of real cubic function fields 2024 KMS Spring Meeting, 대한민국, 2024-04-19 2024 KMS Spring Meeting, 2024
  • [학술발표] Binary few-weight codes using a mixed alphabet ring and simplicial complexes 2024 ANNUAL MEETING OF THE KANGWON-KYUNGKI MATHEMATICAL SOCIETY, 대한민국, 2024-06-21 2024 Gangwon Gyeonggi Mathematical Society Academic Conference, 2024
  • [학술발표] Binary few-weight codes using a mixed alphabet ring with applications in strongly walk-regular graphs 2024 KRIMS-EIMS Joint Conference, 대한민국, 2024-08-27 2024 KRIMS-EIMS Joint Conference, 2024
  • [학술발표] CHARACTERIZATION OF WEAKLY REGULAR p-ARY BENT FUNCTIONS OF ℓ-FORM The 10th Korea-Sino International Conference on Coding Theory and its Related Topics, 대한민국, 2024-07-04 The 10th Korea-Sino International Conference on Coding Theory and its Related Topics, 2024
  • [학술발표] Characterization of weakly regular p-ary bent functions of ℓ -form The 4th International Coding Theory Seminar (4th ICTS), 대한민국, 2024-09-27 The 4th International Coding Theory Seminar (4th ICTS), 2024
  • [학술발표] Characterization of weakly regular p-ary bent functions of ℓ-form 2024 KRIMS-EIMS Joint Conference, 대한민국, 2024-08-27 2024 KRIMS-EIMS Joint Conference, 2024
  • [학술발표] Concyclicity of the zeros of polynomials associated to L-derivatives of Eisenstein series 2024 CMS Conference and Annual Meeting, 대한민국, 2024-06-21 2024 CMS Conference and Annual Meeting, 2024
  • [학술발표] On the zeros of some polynomials associated to Eisenstein series for prime levels 2024 KMS Annual Meeting, 대한민국, 2024-10-25 2024 KMS Annual Meeting, 2024
  • [학술발표] Polyharmonic Maass forms of square-free levels and their $L$-values 2024 Workshop on Number Theory and Algebra, 대한민국, 2024-02-02 2024 Workshop on Number Theory and Algebra, 2024
  • [학술발표] Secondary constructions for ternary plateaued function with good properties 2024 KWMS 차세대여성수리과학자 커리어 리더스 포럼, 대한민국, 2024-10-11 2024 KWMS 차세대여성수리과학자 커리어 리더스 포럼, 2024
  • [학술발표] Secondary constructions for ternary plateaued functions 2024 차세대 여성수리과학자 커리어 리더스포럼, 대한민국, 2024-10-11 2024 차세대 여성수리과학자 커리어 리더스포럼, 2024
  • [학술발표] TBA 오차노미주, 대한민국, 2024-12-11 오차노미주, 2024
  • [학술발표] Infinite families of Artin-Schreier function fields with any prescribed class group rank The 5th Workshop on Algebras with Related Topics, 대한민국, 2023-11-17 The 5th Workshop on Algebras with Related Topics, 2023
  • [학술발표] Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds 2023 Youngnam Mathematical Society Annual Meeting, 대한민국, 2023-07-15 2023 Youngnam Mathematical Society Annual Meeting, 2023
  • [학술발표] Characterization of p-ary Functions in Terms of Association Schemes and Its Applications ICIAM 2023 Tokyo Satellite meeting, 대한민국, 2023-08-18 ICIAM 2023 Tokyo Satellite meeting, 2023
  • [학술발표] Characterization of p-ary functions in terms of association schemes and its applications The 9th Sino-Korea International Conference on Coding Theory and Related Topics, 중국, 2023-10-21 The 9th Sino-Korea International Conference on Coding Theory and Related Topics, 2023
  • [학술발표] Construction of quasi-cyclic self-dual codes over finite fields ICIAM 2023 Tokyo Satellite meeting, 대한민국, 2023-08-19 ICIAM 2023 Tokyo Satellite meeting, 2023
  • [학술발표] Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds 2023 KMS Spring Meeting, 대한민국, 2023-04-28 2023 KMS Spring Meeting, 2023
  • [학술발표] The finitude of tame pro-p extensions of number fields with cyclic p-class groups 2023 Ewha International Workshop on Number Theory, 대한민국, 2023-02-09 2023 Ewha International Workshop on Number Theory, 2023
  • [학술발표] The finitude of tamely ramified pro‐p extensions of number fields with cyclic p‐class groups International conference on the Arithmetic of L‐functions, 스페인, 마드리드, 2023-05-24 International conference on the Arithmetic of L‐functions, 2023
  • [학술발표] The mean value of the class numbers of cubic function fields Second International Workshop in Analytic Number Theory, 대한민국, 2023-08-21 Second International Workshop in Analytic Number Theory, 2023
  • [학술발표] The structure of the class groups of global function fields Inaugural Meeting of Asian-Oceanian Women in Mathematics (Hybrid) Conference, 인도, 2023-04-27 Inaugural Meeting of Asian-Oceanian Women in Mathematics (Hybrid) Conference, 2023
  • [학술발표] The theta cycles for modular forms modulo prime powers 2023 KMS Spring Meeting, 대한민국, 2023-04-28 2023 KMS Spring Meeting, 2023
  • [학술발표] Asymptotic formula for the mean value of class numbers of Kummer function fields with degree 3 The 3rd Workshop on Algebras with Related Topics, 대한민국, 2022-11-04 The 3rd Workshop on Algebras with Related Topics, 2022
  • [학술발표] Asymptotic formula for the mean value of class numbers of cubic Kummer function fields 2022 UNIST BRL Number Theory Workshop, 대한민국, 2022-12-16 2022 UNIST BRL Number Theory Workshop, 2022
  • [학술발표] Asymptotically good two-dimensional convolutional codes 2022 차세대 여성 수리과학 전공자 커리어 리더스 포럼, 대한민국, 2022-10-07 2022 차세대 여성 수리과학 전공자 커리어 리더스 포럼, 2022
  • [학술발표] Average value of class numbers of cubic Kummer extensions over the rational function field 2022 Global KMS International Conference, 대한민국, 2022-10-19 2022 Global KMS International Conference, 2022
  • [학술발표] Balanced plateaued functions with maximal algebraic degrees Ewha-JWU-Ochanomzu Joint Symposium 2022, 대한민국, 2022-12-06 13th Ewha-JWU-Ochanomizu Joint Symposium 2022, 2022
  • [학술발표] Construction of plateaued functions from bent functions 2022 KWMS The17th International Conference, 대한민국, 2022-06-24 2022 KWMS The 17th International Conference, 2022
  • [학술발표] Cyclotomic fields with unbounded conductors 2022 KWMS The 17th International Conference, 대한민국, 2022-06-24 2022 KWMS The 17th International Conference, 2022
  • [학술발표] Ramanujan graphs and expander families constructed from p-ary bent functions The 8th KOREA-SINO International Conference on Coding Theory and Related Topics , 대한민국, 2022-07-07 The 8th KOREA-SINO International Conference on Coding Theory and Related Topics , 2022
  • [학술발표] Self-dual cyclic codes over some non-chain ring 2022 KWMS The 17th International Conference, 대한민국, 2022-06-24 2022 KWMS The 17th International Conference, 2022
  • [학술발표] THE MEAN VALUE OF THE CLASS NUMBERS OF CUBIC FUNCTION FIELDS 2022 The 17th KWMS International Conference, 대한민국, 2022-06-23 2022 The 17th KWMS International Conference, 2022
  • [학술발표] The mean value of the class numbers of cubic function fields Workshop on Number Theory and Algebra, 대한민국, 2022-07-23 Workshop on Number Theory and Algebra, 2022
  • [학술발표] p-adic properties for Taylor coefficients of half-integral weight modular forms on Γ1(4) 2022 Global KMS International Conference, 대한민국, 2022-10-19 2022 Global KMS International Conference, 2022
  • [학술발표] Construction of DNA codes for DNA computing and DNA data-storage 2021 EIMS International Conference on Computational Mathematics, 대한민국, 2021-08-26 2021 EIMS International Conference on Computational Mathematics, 2021
  • [학술발표] Construction of self-orthogonal codes over Ζ_4 via the chain ring Ζ_4 [u]/ 12th Ewha-JWU-Ochanomizu Joint Symposium 2021, 대한민국, 2021-12-15 Ewha-JWU-Ochanomizu Joint Symposium 2021, 2021
  • [학술발표] Designing DNA codes from self-dual codes 2021 KMS Spring Meeting, 대한민국, 2021-04-29 Proceedings of 2021 KMS Spring Meeting, 2021
  • [학술발표] Ideal class groups of cyclotomic number fields 2021 차세대 여성 수리과학 전공자 커리어 리더스 포럼, 대한민국, 2021-10-01 2021 차세대 여성 수리과학 전공자 커리어 리더스 포럼, 2021
  • [학술발표] Infinite families of cyclotomic function fields with any prescribed class group rank 2021 KWMS the 16th International Conference, 대한민국, 2021-07-02 2021 KWMS the 16th International Conference, 2021
  • [학술발표] Infinite families of Kummer and cyclotomic function fields Workshop on Algebras with Related Topics , 대한민국, 2021-11-05 Workshop on Algebras with Related Topics , 2021
  • [학술발표] Optimal linear codes from simplicial complexes 2021 EIMS International Conference on Computational Mathematics, 대한민국, 2021-08-26 2021 EIMS International Conference on Computational Mathematics, 2021
  • [학술발표] Optimal linear codes from simplicial complexes 2021 KMS Annuall Meeting, 대한민국, 2021-10-21 2021 KMS Annual Meeting, 2021
  • [학술발표] Quasi-cyclic self-dual codes over finite fields using three factors 2021 EIMS International Conference on Computational Mathematics, 대한민국, 2021-08-26 2021 EIMS International Conference on Computational Mathematics, 2021
  • [학술발표] Construction of Hermitian LCD codes over F_4 2020 차세대 여성수학자 커리어 리더스 포럼 , 대한민국, 2020-10-16 2020 차세대 여성수학자 커리어 리더스 포럼 , 2020
  • [학술발표] Infinite families of cyclotomic function fields over the rational function field The 9th AORC Virtual Workshop 2020 , 대한민국, 2020-12-29 The 9th AORC Virtual Workshop 2020 , 2020
  • [학술발표] Infinite families of cyclotomic function fields with arbitrary class group rank 2020 Ewha-IMS 계산수학 워크샵, 대한민국, 2020-12-28 EIMS WORKSHOP, 2020
  • [학술발표] Minimum weights of two-point algebraic geometry codes The 5th Sino-Korea International Conference on Coding Theory and its related topics, 중국, 상하이, 2018-07-05 Proceeding of The 5th Sino-Korea International Conference on Coding Theory and its related topics, 2018
  • [학술발표] CIS-codes and orthogonal arrays The third Sino-Korea International Conference on Coding theory and related topics, 중국, 2016-08-08 Proceeding of the third Sino-Korea International Conference on Coding theory and related topics, 2016
  • [학술발표] Cyclic self-dual codes over Galois rings 2016 KWMS The 12th International conference, 대한민국, 2016-06-30 Proceeding of 2016 KWMS The 12th International conference, 2016
  • [학술발표] Lee weight enumerators of quartic formally self-dual codes 2016 KWMS The 12th International conference, 대한민국, 2016-06-30 Proceeding of 2016 KWMS The 12th International conference, 2016
  • [학술발표] Ramanujan-Selberg continued fraction as a modular function 2016 Korea-Japan Joint Number theory Seminar, 대한민국, 2016-02-04 Proceedings of 2016 Korea-Japan Joint Number theory Seminar, 2016
  • [학술발표] Self-dual codes over Z_8 and Z_16 2016 East Asian Core Doctoral Forum on Mathematics, 중국, Shanghai, 2016-01-10 Proceedings of 2016 East Asian Core Doctoral Forum on Mathematics, 2016
  • [학술발표] Classification of CIS codes over GF(p) 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
  • [학술발표] Construction of all cubic function fields of a given discriminant 2015 SIAM Conference on applied algebraic geometry, 대한민국, 2015-08-04 Proceeding of 2015 SIAM Conference on applied algebraic geometry, 2015
  • [학술발표] Construction of formally self-dual codes over Z_4 6th Ewha-JWU-Ochanomizu Joint Symposium, 대한민국, 2015-12-09 Proceedings of 6th Ewha-JWU-Ochanomizu Joint Symposium, 2015
  • [학술발표] Construction of linear codes from p-ary bent functions KSIAM 2015 Annual meeting, 대한민국, 2015-11-21 Proceedings of KSIAM 2015 Annual meeting, 2015
  • [학술발표] Construction of self-dual codes over Z_8 and Z_16 6th Ewha-JWU-Ochanomizu Joint Symposium, 대한민국, 2015-12-09 Proceedings of 6th Ewha-JWU-Ochanomizu Joint Symposium, 2015
  • [학술발표] Construction of strongly regular graphs from p-ary bent functions KSIAM 2015 Annual meeting, 대한민국, 2015-11-21 Proceedings of KSIAM 2015 Annual meeting, 2015
  • [학술발표] Error correcting codes and cyclic codes 6th Ewha-JWU-Ochanomizu Joint Symposium 2015, 대한민국, 2015-12-10 6th Ewha-JWU-Ochanomizu Joint Symposium 2015, 2015
  • [학술발표] Extremal self-dual codes over Z_8 or Z_16 2015 KWMS The 11th International conference, 대한민국, 2015-07-03 Proceeding of 2015 KWMS The 11th International conference, 2015
  • [학술발표] Formally self-dual codes over Z_4 2015 KWMS The 11th International conference, 대한민국, 2015-07-03 Proceeding of 2015 KWMS The 11th International conference, 2015
  • [학술발표] Indivisibility of class numbers of real quadratic function fields 2015 SIAM Conference on applied algebraic geometry, 대한민국, 2015-08-04 Proceeding of 2015 SIAM Conference on applied algebraic geometry, 2015
  • [학술발표] Indivisibility of class numbers of real quadratic function fields 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
  • [학술발표] Recent results on bent functions The 2nd Korea-Sino International Conference on Coding Theory and Related Topics, 대한민국, 2015-01-19 Proceedings of The 2nd Korea-Sino International Conference on Coding Theory and Related Topics, 2015
  • [학술발표] Results on Bent functions 2015 Ewha IMS Workshop, 대한민국, 2015-05-15 Proceeding of 2015 Ewha IMS Workshop, 2015
  • [학술발표] Results on bent functions 7th KIAS Combinatorics Workshop, 대한민국, 2015-03-13 Proceeding of 7th KIAS Combinatorics Workshop, 2015
  • [학술발표] Self-dual codes and quasi-cyclic self-dual codes over finite fields and finite rings 2015 SIAM conference on applied algebraic geometry, 대한민국, 2015-08-03 Proceeding of 2015 SIAM conference on applied algebraic geometry, 2015
  • [학술발표] Three-weight or five-weight linear codes constructed from p-ary bent functions 2015 KMS 가울 정기발표회, 대한민국, 2015-10-24 Proceedings of 2015 KMS 가을 정기발표회, 2015
  • [학술발표] p-ary complementary information set codes 2015 East Asian Core Doctoral Forum on Mathematics, 대만, 2015-01-22 Proceedings of 2015 East Asian Core Doctoral Forum on Mathematics, 2015
  • [학술발표] Asymptotically good number field codes ICM 2014 Satellite Conference on Algebraic Coding Theory, 대한민국, 2014-08-12 ICM 2014 Satellite Conference on Algebraic Coding Theory, 2014
  • [학술발표] Classification of Hermitian self-dual codes over F_2^{2m} + uF_2^{2m} KSIAM 2014 Spring Conference, 대한민국, 2014-05-24 KSIAM 2014 Spring Conference, 2014
  • [학술발표] Classification of cyclic codes over Z_8 ICM 2014 Satellite conference on Algebraic Coding theory, 대한민국, 2014-08-12 ICM 2014 Satellite conference on Algebraic Coding theory, 2014
  • [학술발표] Classification of cyclic self-dual codes over Z_4 and Z_8 of length 2^e 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 대한민국, 2014-12-04 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 2014
  • [학술발표] Cohen Lenstra conjecture over Imaginary function fields 2014 Ewha IMS Workshop, 대한민국, 2014-07-10 2014 Ewha IMS Workshop, 2014
  • [학술발표] Indivisibility of class numbers of real quadratic function fields Japan-Korea Joint Seminar on Number Theory and, 일본, 2014-11-21 Japan-Korea Joint Seminar on Number Theory and, 2014
  • [학술발표] Indivisibility of class numbers of real quadratic function fields China-Korea Joint Seminar on Number Theory, 중국, 2014-10-05 China-Korea Joint Seminar on Number Theory, 2014
  • [학술발표] Nonexistence of certain types of regular p-ary bent functions 2014 Ewha IMS workshop, 대한민국, 2014-07-10 2014 Ewha IMS workshop, 2014
  • [학술발표] Nonexistence of certain types of regular p-ary bent functions KSIAM 2014 Spring Conference, 대한민국, 2014-05-24 KSIAM 2014 Spring Conference, 2014
  • [학술발표] Nonexistence of certain types of regular p-ary bent functions ICM 2014 Satellite conference on Algebraic Coding Theory, 대한민국, 2014-08-12 ICM 2014 Satellite conference on Algebraic Coding Theory, 2014
  • [학술발표] Relation of Hermitian self-dual codes over F_{2^{2m}}+uF_{2^{2m}} and F_{2^{2m}} 2014 Ewha IMS Workshop, 대한민국, 2014-07-10 2014 Ewha IMS Workshop, 2014
  • [학술발표] The minimum distance of algebraic geometric two-point codes 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 대한민국, 2014-12-03 5th Ewha-JWU-Ochanomizu Joint Symposium 2014, 2014
  • [학술발표] A Cheeger Inequality of a Distance Regular Graph using the Green's Function Sino-Korea International Conference on Coding Theory and Related Topics, 중국, Wuhan, 2013-08-21 Sino-Korea International Conference on Coding Theory and Related Topics, 2013
  • [학술발표] A Cheeger inequality of a distance regular graph using the Green's function The Asian Mathematical Conference 2013, 대한민국, 2013-07-03 The Asian Mathematical Conference 2013, 2013
  • [학술발표] Asymptotically good number field codes Joint Symposium 2013 - Japan Women's University, Ochanomizu University & Ewha Womans University , 대한민국, 2013-12-11 Joint Symposium 2013 , 2013
  • [학술발표] Construction of Self-dual Quaternary Codes with an Automorphism of Odd Order Sino-Korea International Conference on Coding Theory and Related Topics, 중국, Wuhan, 2013-08-22 Sino-Korea International Conference on Coding Theory and Related Topics, 2013
  • [학술발표] Cyclic codes over Z_8 of length 2^e Joint Symposium 2013 - Japan Women's University, Ochanomizu University & Ewha Womans University , 대한민국, 2013-12-12 Joint Symposium 2013 , 2013
  • [학술발표] Explicit isogeny theorems and different bounds of Drinfeld modules The Arithmetic of Function Fields and Related Topics, 대한민국, 2013-02-19 The Arithmetic of Function Fields and Related Topics, 2013
  • [학술발표] Extremal self-dual quaternary codes with an automorphism of odd order The Asian Mathematical Conference 2013, 대한민국, 2013-07-04 The Asian Mathematical Conference 2013, 2013
  • [학술발표] Families of elliptic curves with prescribed torsion subgroups NIMS Pure and Applied Number Theory Conference, 대한민국, 2013-08-14 NIMS Pure and Applied Number Theory Conference, 2013
  • [학술발표] Infinite T-decomposing p-class field towers over number fields Korea-Japan Joint Seminar on Number Theory and Related Topics , 대한민국, 2013-01-22 Korea-Japan Joint Seminar on Number Theory and Related Topics , 2013
  • [학술발표] Infinite families of elliptic curves over Dihedral quartic number fields Korea-Japan Joint Seminar on Number Theory and Related Topics , 대한민국, 2013-01-24 Korea-Japan Joint Seminar on Number Theory and Related Topics , 2013
  • [학술발표] Asymptotically good codes over number fields 2012 The 9th KWMS International Conference, 대한민국, 2012-06-22 2012 The 9th KWMS International Conference, 2012
  • [학술발표] Construction Of Extremal Self-dual Codes Over F2 + uF2 With An Automorphism Of Odd Order KSIAM 2012 Spring Conference , 대한민국, 2012-05-16 KSIAM 2012 Spring Conference , 2012
  • [학술발표] Construction of extremal self-dual codes over F2+uF2 2012 KMS meeting , 대한민국, 2012-04-28 2012 KMS meeting, 2012
  • [학술발표] Construction of self-dual codes with an automorphism 2012 KIAS International Conference on Coding Theory and Applications, 대한민국, 2012-11-15 2012 KIAS International Conference on Coding Theory and Applications, 2012
  • [학술발표] Construction of self-dual codes with an automorphism of order p 2012 Annual Meeting of the Korean Mathematical Society, 대한민국, 2012-10-05 2012 Annual Meeting of the Korean Mathematical Society, 2012
  • [학술발표] Explicit ramification bounds for division fields of Drinfeld modules 2012 AMS Spring Western Section Meeting, 미국, 2012-03-03 2012 Spring Western Section Meeting, 2012
  • [학술발표] Galois characters arising from Drinfeld modules Industrial Number Theory 4, 대한민국, 2012-02-20 Industrial Number Theory 4, 2012
  • [학술발표] Gleason-type theorem on self-dual bent functions 10th Korea-Japan Workshop on Algebra and Combinatorics, 대한민국, 2012-01-27 10th Korea-Japan Workshop on Algebra and Combinatorics , 2012
  • [학술발표] MacWilliams duality and a Gleason-type theorem on weakly regular p-ary bent functions 2012 KMS meeting, 대한민국, 2012-05-04 2012 KMS meeting, 2012
  • [학술발표] A new class of Boolean functions for constructing bent functions 2011 KMS Fall meeting , 대한민국, 2011-10-21 Proceedings of 2011 KMS Fall meeting , 2011
  • [학술발표] Building-up construction of self-dual codes and self-dual codes with an automorphism of prime order IMS-NTU Workshop on Coding and Cryptography in Singapore, 싱가폴, 2011-05-23 IMS-NTU Workshop on Coding and Cryptography in Singapore, 2011
  • [학술발표] MDS poset-codes satisfying the asymptotic Gilbert-Varshamov bound in Hamming weights International Conference on Coding and Cryptography, 대한민국, 2011-08-24 Proceedings of International Conference on Coding and Cryptography, 2011
  • [학술발표] Building-up construction of self-dual codes AGC 2010: International Conference, 대한민국, 2010-07-15 AGC 2010: International Conference on Algebraic and Geometric Combinatorics, 2010
  • [학술발표] Construction of Cubic Function Fields from Quadratic Infrastructure 2010 Korea-Japan Number Theory Seminar, 대한민국, 2010-01-20 2010 Korea-Japan Number Theory Seminar, 2010
  • [학술발표] Construction of MDS self-dual codes and quasi-cyclic self-dual codes AMS meeting: 2010 Spring Southeastern Sectional Meeting, 미국, Lexington, 2010-03-27 2010 Spring Southeastern Sectional Meeting, Special session on Advances in Algebraic Coding Theory, 2010
  • [학술발표] MDS poset-codes and the asymptotic Gilbert-Varshamov bound for their Hamming weights 8th Korea-Japan Workshop on Algebra and Combinatorics, 대한민국, 2010-02-05 Korea-Japan Workshop on Algebra and Combinatorics, 2010
  • [학술발표] Self-dual Code Construction over $GF(p^k)$ and $Z_{p^k}$ via Diophantine Equations 2010 KWMS International Conference for Women in Mathematics, 대한민국, 2010-06-21 2010 KWMS International Conference for Women in Mathematics, 2010
  • [학술발표] Surjectivity results and exponential functions attached to rank 2 Drinfeld modules 2010 NCTS Taiwan-Korea Workshop on Number Theory, 대만, 2010-07-05 2010 NCTS Taiwan-Korea Workshop on Number Theory, 2010
  • [학술발표] The Reflection Theorem for global function fields and their applications 2010 AMS Joint Meeting, 미국, 2010-01-14 2010 AMS Joint Meeting, Arithmetic on function fields, 2010
  • [학술발표] Binary formally self-dual odd codes 2009 대한수학회 봄 연구 발표회, 대한민국, 2009-04-25 2009 대한수학회 봄 연구 발표회, 2009
  • [학술발표] Construction of cubic self-dual codes 2009 IEEE International Symposium on Information Theory, 대한민국, 2009-07-03 Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 1-4
  • [학술발표] Self-dual codes using building-up constructions 2009 IEEE International Symposium on Information Theory, 대한민국, 2009-07-03 Proceedings of the 2009 IEEE International Symposium on Information Theory, 2009, 1-3
  • [학술발표] Class groups of function fields II International Workshop: Women in Numbers (WIN), 캐나다, 2008-11-04 International Workshop: Women in Numbers (WIN), 2008, 1-54
  • [학술발표] Class groups of global function fields ASARC Number Theory Conference, 대한민국, 2008-08-18 ASARC Number Theory Conference, 2008, 1-42
  • [학술발표] Construction of Cubic Function Fields from Quadratic Infrastructure 2007 대한수학회 정기총회 및 가을 연구 발표회, 대한민국, 2007-10-21 2007 대한수학회 정기총회 및 가을 연구 발표회, 2007, 1-42
  • [학술발표] Eta pairing computation on general divisors over hyperelliptic curves $y^2 = x^7-x \pm 1$ Pairing 2007, 일본, Tokyo, 2007-07-04 Pairing 2007, 2007, 349-366
  • [학술발표] MDS Self-dual Codes IEEE, 미국, Chicago, 2004-07-01 Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004
  • [지적재산권] 양자 회로를 이용한 선형 부호 또는 이진 부호 디코딩 장치 및 이진 선형 부호를 디코딩하는 방법 국내 : 특허, 출원
  • [지적재산권] RSD 코드에 기반한 DNA 코드 생성 방법 국내 : 특허, 등록, 10-2429200, 2022
  • [지적재산권] RSD 코드에 기반한 DNA 코드 생성 방법 국내 : 특허, 등록, 10-2020-0120817
강의
  • 2024-2학기

    • 선형대수학Ⅱ

      • 학수번호 20442분반 01
      • 2학년 ( 3학점 , 4.5시간) 월 5~5 (포365) , 수 4~4 (포365)
      • 영어강의
    • 정수론

      • 학수번호 20454분반 01
      • 2학년 ( 3학점 , 3시간) 월 6~6 (포365) , 수 5~5 (포365)
      • 영어강의 수학
  • 2024-1학기

    • 선형대수학Ⅰ

      • 학수번호 20441분반 01
      • 2학년 ( 3학점 , 4.5시간) 월 5~5 (포363) , 수 4~4 (포363)
      • 영어강의 수학과 전용(선형대수학Ⅱ 연계강의), 타학과 수강불가
    • 대수학Ⅰ

      • 학수번호 G10464분반 01
      • 학년 ( 3학점 , 3시간) 월 6~6 (종A315) , 수 5~5 (종A315)
      • 영어강의
  • 2023-2학기

    • 미분적분학Ⅱ

      • 학수번호 20408분반 01
      • 1학년 ( 3학점 , 3시간) 월 5~5 (포462) , 수 4~4 (포462)
      • 영어강의 미분적분학II(01~02분반) 연습시간 통합적으로 진행
    • 현대대수학II

  • 2023-1학기

    • 1학년세미나(자연대)

      • 학수번호 10851분반 02
      • 1학년 ( 1학점 월 7~7 (종)
    • 선형대수학I

      • 학수번호 20441분반 02
      • 2학년 ( 3학점 , 4.5시간) 월 5~5 (포362) , 수 4~4 (포362) , 수 8~8 (종A)
      • 영어강의 엘텍공대 재학생(기후, 컴공 포함), 인공지능대학 인공지능전공, 수8교시 연습시간
    • 현대대수학I

  • 2022-2학기

    • 정수론

      • 학수번호 20454분반 01
      • 2학년 ( 3학점 , 3시간) 월 5~5 (포365) , 수 4~4 (포365)
      • 언어변경,영어강의
    • 대수학Ⅱ

  • 2021-1학기

    • 1학년세미나(자연대)

      • 학수번호 10851분반 01
      • 1학년 ( 1학점 월 7~7 (종)
      • 재미있는 수학 세계와 진로 탐색
    • 선형대수학I

      • 학수번호 20441분반 01
      • 2학년 ( 3학점 , 4.5시간) 월 5~5 (포361) , 수 4~4 (포361) , 수 8~8
      • 영어강의 수강대상 수학과 학생 추천, 수8교시 연습시간
학력

Brown University Ph.D.(수학과)

Brown University Sc.M.(수학과)

경력

입학처장 2017-06-14 ~ 2021-02-28

정보보호학연계전공주임교수 2016-02-01 ~ 2017-06-25

정보보호학연계전공주임교수 2010-01-01 ~ 2013-08-31

수리물리과학부장 2010-08-01 ~ 2012-01-31

수학전공주임교수 2010-02-01 ~ 2012-01-31

Simon Fraser Univ./Assistant Prof. 2005-08-01 ~ 2007-08-31

Smith College/Visiting Assistant Prof. 2002-09-01 ~ 2005-06-30

Univ. of Delaware/Temparary Assistant Prof. 2000-09-01 ~ 2002-08-31

Arizona State Univ./Visting Prof. 1999-09-01 ~ 2000-08-31

이화여자대학교 BK 21 plus 사업팀 ("수리과학 글로벌 여성인재 양성팀") 의 팀장직 2013-09-01 ~ 2019-08-31

대한수학회보 (Bulletin of the Mathematical Society) 편집위원 2016-01-01 ~ 2023-12-31

대한수학회보 (Bulletin of the Mathematical Society) 편집위원장 2017-01-01 ~ 2018-12-31

수리과학연구소장 2022-03-01 ~ 2025-02-28