データ更新日：2024年11月22日
毛塚 由佳子 （けづか ゆかこ） 准教授 KEZUKA, Yukako
所属組織・役職等
理工研究域 電子情報通信学系
教育分野
【学士課程】
理工学域 電子情報通信学類 情報通信コース
【大学院前期課程】
自然科学研究科 電子情報科学専攻
【大学院後期課程】
自然科学研究科 電子情報科学専攻
所属研究室等
学歴
【出身大学院】
ケンブリッジ大学 博士課程 2017/10
インペリアル・カレッジ・ロンドン 修士課程
【出身大学】
ケンブリッジ大学
【取得学位】
博士（数学）
修士（純粋数学）
職歴
金沢大学 理工研究域 電子情報通信学系 准教授(2024/09-)
フランス国立科学研究センター (CNRS), ソルボンヌ大学, Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG) マリー・キュリー・フェロー(2022/03-2024/08)
マックス・プランク数学研究所 (ボン) 客員研究員(2021/03-2022/02)
レーゲンスブルク大学 ポスドク研究員(2017/06-2021/02)
生年月
所属学会
学内委員会委員等
受賞学術賞
専門分野
整数論
専門分野キーワード
研究課題
著書
論文
- On central L-values and the growth of the 3-Part Of The Tate–shafarevich Group International Journal of Number Theory 2022/09/09 査読有 研究論文（学術雑誌）
- Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve Journal de Théorie des Nombres de Bordeaux 33巻 3.2号 945頁 2022/01/26 査読有 研究論文（学術雑誌）
- A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-Trivial DOCUMENTA MATHEMATICA Vol 25巻 2020/12/11 査読有 研究論文（学術雑誌）
- On the main conjecture of Iwasawa theory for certain non‐cyclotomic Zp‐extensions Journal of the London Mathematical Society 100巻 1号 107頁 2019/08 査読有 研究論文（学術雑誌）
- Analogues of Iwasawa’s μ = 0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z2-extension Asian Journal of Mathematics 23巻 3号 383頁 2019 査読有 研究論文（学術雑誌）
- On the p-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of Q(√-3) Mathematical Proceedings of the Cambridge Philosophical Society 164巻 1号 67頁 2018/01 査読有 研究論文（学術雑誌）
講演・口頭発表等
- Non-commutative Iwasawa theory of abelian varieties (会議名：The 25th Autumn Workshop on Number Theory, Hokkaido University)(2024/10)
- Non-commutative Iwasawa theory of abelian varieties(会議名：Workshop - ENTR24, Universität Duisburg-Essen)(2024/09)
- Non-commutative Iwasawa theory of abelian varieties(会議名：Recent Progress on Hilbert's 12th Problem, ICMS, Bayes Centre, Edinburgh)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(会議名：Curves, Abelian VArieties and RElated Topics (CAVARET), Universitat de Barcelona)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(会議名：Seminario di Algebra & Geometria, Sapienza Università di Roma)(2024/06)
- Introduction to Iwasawa theory(会議名：Seminar for graduate students, Università Roma Tre)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(会議名：Arithmetica Transalpina, UniDistance Suisse, Brig)(2024/05)
- Non-vanishing of central L-values for elliptic curves with complex multiplication(会議名：Oberseminar in Number Theory, Universittät Göttingen)(2024/04)
- Non-vanishing results for some CM elliptic curves(会議名：Essener Seminar für Algebraische Geometrie und Arithmetik, Universität Duisburg-Essen)(2024/04)
- Valeurs L centrales des courbes elliptiques à multiplication complexe(会議名：Séminaire de Théorie des Nombres, Laboratoire de Mathématiques Nicolas Oresme, Université de Caen)(2024/03)
- Non-commutative Iwasawa theory over global function fields(会議名：Number Theory Seminar, University of Texas at Austin)(2024/02)
- Generalised Euler characteristics of Selmer groups for non-CM elliptic curves(会議名：Special values of L-functions, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya)(2024/01)
- Generalised Euler characteristics of Selmer groups for non-CM elliptic curves(会議名：BIMSA-YMSC Tsinghua Number Theory Seminar, Tsinghua University)(2023/12)
- The p-part of Birch-Swinnerton-Dyer conjecture for the Gross family of elliptic curves(会議名：Geometria Algebrica e Teoria dei Numeri Seminar, Università di Padova)(2018/10)
- Non-vanishing of L-values for quadratic twists of elliptic curves(会議名：Seminario di Geometria Aritmetica, Università degli Studi di Milano)(2023/10)
- Sur la non-annulation des valeurs L centrales(会議名：Séminaire d'Algèbre et de Théorie des Nombres, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté)(2023/10)
- On the L-values of the family quadratic twists of elliptic curves(会議名：Arithmetic and Algebraic Geometry Seminar, University of Amsterdam)(2023/10)
- Non-vanishing theorems for central L-values(会議名：Iwasawa 2023: in memory of John Coates, University of Cambridge)(2023/07)
- Non-vanishing theorems for central L-values(会議名：DIAMANT symposium, Utrecht)(2023/04)
- Non-vanishing theorems for the Gross family of elliptic curves(会議名：East Asia Number Theory Conference, Capital Normal University, Beijing)(2023/02)
- Non-vanishing theorems for central L-values(会議名：Ottawa-Laval Number Theory Seminar, University of Ottawa / Université Laval)(2023/02)
- Iwasawa theory for the Gross family of elliptic curves(会議名：Journée "Algebraic Cycles, L-values and Euler Systems" à Paris en l'honneur de Bernadette Perrin-Riou, Jussieu)(2023/01)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(会議名：Séminaire Arithmétique, Université de Lille)(2022/12)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(会議名：Séminaire d'arithmétique à Lyon, ENS de Lyon)(2022/12)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(会議名：Séminaires de Géométrie Arithmétique et Motivique, Université Paris 13)(2022/11)
- La conjecture de Mazur-Tate(会議名：Arithmetic Geometry Preprint Seminar, Jussieu)(2022/11)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(会議名：Séminaire de théorie des nombres de l'IMJ-PRG, Paris Rive Gauche)(2022/10)
- Non-vanishing theorems for elliptic curves with complex multiplication(会議名：Women in Arithmetic Geometry, Universität Heidelberg)(2022/09)
- Théorie d'Iwasawa et la conjecture de Birch et Swinnerton-Dyer(会議名：Journée de returnée de l'IMJ-PRG, Jussieu)(2022/09)
- Non-vanishing theorems for the Gross family of elliptic curves(会議名：Elliptic curves and the special values of L-functions, ICTS Bangalore)(2022/08)
- Arithmetic of elliptic curves with complex multiplication at small primes(会議名：London Number Theory Seminar, King's College London)(2022/06)
- Central L-values of elliptic curves and their p-adic valuation(会議名：Special Values of L-functions, Periods and Fundamental Groups, All Souls College, University of Oxford)(2022/06)
- Arithmetic of elliptic curves at the small primes(会議名：Heilbronn Number Theory seminar, University of Bristol)(2022/06)
- The p-part of the Birch-Swinnerton-Dyer conjecture for the twists of the Fermat's elliptic curve(会議名：Number theory seminar, Keio University)(2022/04)
- Which numbers are sums of two cubes?(会議名：Number Theory Workshop at Waseda University, Waseda University)(2022/03)
- On the arithmetic of a classical family of elliptic curves with complex multiplication(会議名：Seminar on Algebra, Geometry & Physics, HU Berlin / MPIM Bonn)(2022/02)
- On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication(会議名：Tohoku University Number Theory Seminar, Tohoku University)(2022/01)
- On central L-values and the growth of the Tate-Shafarevich group(会議名：Luxembourg Number Theory Day, Université du Luxembourg)(2021/12)
- On central L-values of twists of the Fermat elliptic curve(会議名：Intercity number theory semiar, Universiteit Leiden)(2021/11)
- On the 2-rank of the ideal class group of cubic fields and its relation to 2-Selmer groups(会議名：Japan Europe Number Theory Exchange Seminar (JENTE))(2021/07)
- On the non-triviality of the 2-part of the Tate-Shafarevich group(会議名：RSVP: Rendez-vous on Special Values and Periods, ENS de Lyon)(2021/05)
- Tamagawa number divisibility of central L-values(会議名：UCSB Seminar on Geometry and Arithmetic, University of California, Santa Barbara)(2021/05)
- A study of the conjecture of Birch and Swinnerton-Dyer for the elliptic curves x3+y3=N(会議名：Mittagsseminar zur Arithmetik, University of Münster)(2021/04)
- Tamagawa number divisibility of central L-values(会議名：UCD Algebra and Number Theory Seminar, University College Dublin)(2021/04)
- The elliptic curves x3+y3=N and the conjecture of Birch and Swinnerton-Dyer(会議名：Number Theory Lunch Seminar, Max-Planck-Institut für Mathematik)(2021/03)
- Tamagawa number divisibility of central L-values of a classical family of elliptic curves(会議名：Essen Oberseminar, Universität Duisburg-Essen)(2020/11)
- Which numbers are sums of two cubes?(会議名：Barcelona Mathematical Days 2020, Institut d'Estudis Catalans)(2020/10)
- The arithmetic of a classical family of elliptic curves(会議名：KIAS Number Theory Seminar, Korea Institute for Advanced Study (KIAS))(2020/10)
- The arithmetic of twists of the Fermat elliptic curve(会議名：Algebra and Number Theory seminar, Queen Mary University of London)(2020/10)
- On the non-triviality of arithmetic invariants and its applications(会議名：On the non-triviality of arithmetic invariants and its applications, National Taiwan University)(2020/06)
- Iwasawa theory and its relation to the Birch-Swinnerton-Dyer Conjecture(会議名：Utrecht Geometry Center Seminar, Universiteit Utrecht)(2019/10)
- Some friends and family of the Fermat curve(会議名：LMS Meeting: Elliptic curves and their friends and family, University of Nottingham)(2019/09)
- Vanishing of certain μ-invariants and its application to elliptic curves(会議名：Recent advances in the arithmetic of Galois representations, Università di Genova)(2019/07)
- On the conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication(会議名：Iwasawa 2019, Institut de Mathématiques de Bordeaux)(2019/06)
- Iwasawa theory of elliptic curves with complex multiplication(会議名：Fourth Meeting for Young Women in Mathematics “Cohomological Methods in Geometry”, Universität Freiburg)(2019/05)
- Vanishing of a μ-invariant and the weak Leopoldt conjecture for a non-cyclotomic Z2-extension(会議名：Symmetry, Geometry and Arithmetic Seminar, Universität Heidelberg)(2019/01)
- On the weak Leopold conjecture for a non-cyclotomic Z2-extension(会議名：Arithmetische und Algebraische Geometrie Oberseminar, LMU München)(2018/10)
- On the L-values of families of quadratic twists of elliptic curves(会議名：Geometria Algebrica e Teoria dei Numeri Seminar, Università di Padova)(2023/10)
- The conjecture of Birch and Swinnerton-Dyer for the Gross family of elliptic curves(会議名：Workshop: Stark's conjectures, Iwasawa theory and related topics, University of Exeter)(2018/09)
- On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication(会議名：SFB Seminar, Universität Regensburg)(2017/04)
- On the p-part of Birch-Swinnerton Conjecture for elliptic curves with complex multiplication by the ring of integers of Q(√-3)(会議名：Number Theory Seminar, University of Nottingham)(2017/02)
- On the main conjecture of Iwasawa theory and p-adic L-functions(会議名：p-adic L-functions day in Cambridge, University of Cambridge)(2016/06)
- On the main conjecture of Iwasawa theory for certain elliptic curves with complex multiplication(会議名：London Number Theory Seminar, UCL)(2016/02)
その他（報告書など）
- Non-commutative Iwasawa theory of abelian varieties over global function fields Li-Tong Deng,Yukako Kezuka,Yong-Xiong Li,Meng Fai Lim Preprint 2024/05
- Non-vanishing of central L-values of the Gross family of elliptic curve Yukako Kezuka,Yong-Xiong Li Preprint 2023/05
- Which numbers are sums of two cubes? Yukako Kezuka 早稲田大学整数論研究集会2022報告集 2023/06
芸術・フィールドワーク
特許
共同研究希望テーマ
科研費
競争的資金・寄付金等
共同研究・受託研究実績
A-STEP採択課題
学域・学類担当授業科目
○線型代数IIA(2024)
○線型代数IIB(2024)