last modified：2024/11/22
Associate Professor KEZUKA, Yukako
Faculty, Affiliation
Faculty of Electrical, Information and Communication Engineering,Institute of Science and Engineering
College and School Educational Field
Division of Electrical Engineering and Computer Science, Graduate School of Natural Science and Technology
Division of Electrical Engineering and Computer Science, Graduate School of Natural Science and Technology
Course in Information and Communication Engineering, School of Electrical, Information and Communication Engineering, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
University of Cambridge Doctor 201710
Imperial College London Master
【Academic background(Bachelor's Degree)】
University of Cambridge
【Degree】
PhD in Mathematics
MSc
Career
Kanazawa University Institute of Science and Engineering Faculty of Electrical, Information and Communication Engineering Associate Professor(2024/09-)
Centre national de la recherche scientifique (CNRS), Sorbonne University, Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG) Marie Curie Fellow(2022/03-2024/08)
Max Planck Institute for Mathematics, Bonn Visiting Research Fellow(2021/03-2022/02)
University of Regensburg Postdoctoral Research Fellow(2017/06-2021/02)
Year & Month of Birth
Academic Society
Award
Specialities
Number theory
Speciality Keywords
Research Themes
Books
Papers
- On central L-values and the growth of the 3-Part Of The Tate–shafarevich Group Yukako Kezuka International Journal of Number Theory 2022/09/09
- Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve Yukako Kezuka Journal de Théorie des Nombres de Bordeaux 33 3.2 945 2022/01/26
- A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-Trivial Kezuka, Yukako,Li, Yongxiong DOCUMENTA MATHEMATICA Vol 25 2020/12/11
- On the main conjecture of Iwasawa theory for certain non‐cyclotomic Zp‐extensions Yukako Kezuka Journal of the London Mathematical Society 100 1 107 2019/08
- Analogues of Iwasawa’s μ = 0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z2-extension Junhwa Choi,Yukako Kezuka,Yongxiong Li Asian Journal of Mathematics 23 3 383 2019
- On the p-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of Q(√-3) YUKAKO KEZUKA Mathematical Proceedings of the Cambridge Philosophical Society 164 1 67 2018/01
Conference Presentations
- Non-commutative Iwasawa theory of abelian varieties (conference：The 25th Autumn Workshop on Number Theory, Hokkaido University)(2024/10)
- Non-commutative Iwasawa theory of abelian varieties(conference：Workshop - ENTR24, Universität Duisburg-Essen)(2024/09)
- Non-commutative Iwasawa theory of abelian varieties(conference：Recent Progress on Hilbert's 12th Problem, ICMS, Bayes Centre, Edinburgh)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(conference：Curves, Abelian VArieties and RElated Topics (CAVARET), Universitat de Barcelona)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(conference：Seminario di Algebra & Geometria, Sapienza Università di Roma)(2024/06)
- Introduction to Iwasawa theory(conference：Seminar for graduate students, Università Roma Tre)(2024/06)
- Non-commutative Iwasawa theory of abelian varieties(conference：Arithmetica Transalpina, UniDistance Suisse, Brig)(2024/05)
- Non-vanishing of central L-values for elliptic curves with complex multiplication(conference：Oberseminar in Number Theory, Universittät Göttingen)(2024/04)
- Non-vanishing results for some CM elliptic curves(conference：Essener Seminar für Algebraische Geometrie und Arithmetik, Universität Duisburg-Essen)(2024/04)
- Valeurs L centrales des courbes elliptiques à multiplication complexe(conference：Séminaire de Théorie des Nombres, Laboratoire de Mathématiques Nicolas Oresme, Université de Caen)(2024/03)
- Non-commutative Iwasawa theory over global function fields(conference：Number Theory Seminar, University of Texas at Austin)(2024/02)
- Generalised Euler characteristics of Selmer groups for non-CM elliptic curves(conference：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(conference：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(conference：Geometria Algebrica e Teoria dei Numeri Seminar, Università di Padova)(2018/10)
- Non-vanishing of L-values for quadratic twists of elliptic curves(conference：Seminario di Geometria Aritmetica, Università degli Studi di Milano)(2023/10)
- Sur la non-annulation des valeurs L centrales(conference：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(conference：Arithmetic and Algebraic Geometry Seminar, University of Amsterdam)(2023/10)
- Non-vanishing theorems for central L-values(conference：Iwasawa 2023: in memory of John Coates, University of Cambridge)(2023/07)
- Non-vanishing theorems for central L-values(conference：DIAMANT symposium, Utrecht)(2023/04)
- Non-vanishing theorems for the Gross family of elliptic curves(conference：East Asia Number Theory Conference, Capital Normal University, Beijing)(2023/02)
- Non-vanishing theorems for central L-values(conference：Ottawa-Laval Number Theory Seminar, University of Ottawa / Université Laval)(2023/02)
- Iwasawa theory for the Gross family of elliptic curves(conference：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(conference：Séminaire Arithmétique, Université de Lille)(2022/12)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(conference：Séminaire d'arithmétique à Lyon, ENS de Lyon)(2022/12)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(conference：Séminaires de Géométrie Arithmétique et Motivique, Université Paris 13)(2022/11)
- La conjecture de Mazur-Tate(conference：Arithmetic Geometry Preprint Seminar, Jussieu)(2022/11)
- Théorèmes de non-annulation pour des courbes elliptiques à multiplication complexe(conference：Séminaire de théorie des nombres de l'IMJ-PRG, Paris Rive Gauche)(2022/10)
- Non-vanishing theorems for elliptic curves with complex multiplication(conference：Women in Arithmetic Geometry, Universität Heidelberg)(2022/09)
- Théorie d'Iwasawa et la conjecture de Birch et Swinnerton-Dyer(conference：Journée de returnée de l'IMJ-PRG, Jussieu)(2022/09)
- Non-vanishing theorems for the Gross family of elliptic curves(conference：Elliptic curves and the special values of L-functions, ICTS Bangalore)(2022/08)
- Arithmetic of elliptic curves with complex multiplication at small primes(conference：London Number Theory Seminar, King's College London)(2022/06)
- Central L-values of elliptic curves and their p-adic valuation(conference：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(conference：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(conference：Number theory seminar, Keio University)(2022/04)
- Which numbers are sums of two cubes?(conference：Number Theory Workshop at Waseda University, Waseda University)(2022/03)
- On the arithmetic of a classical family of elliptic curves with complex multiplication(conference：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(conference：Tohoku University Number Theory Seminar, Tohoku University)(2022/01)
- On central L-values and the growth of the Tate-Shafarevich group(conference：Luxembourg Number Theory Day, Université du Luxembourg)(2021/12)
- On central L-values of twists of the Fermat elliptic curve(conference：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(conference：Japan Europe Number Theory Exchange Seminar (JENTE))(2021/07)
- On the non-triviality of the 2-part of the Tate-Shafarevich group(conference：RSVP: Rendez-vous on Special Values and Periods, ENS de Lyon)(2021/05)
- Tamagawa number divisibility of central L-values(conference：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(conference：Mittagsseminar zur Arithmetik, University of Münster)(2021/04)
- Tamagawa number divisibility of central L-values(conference：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(conference：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(conference：Essen Oberseminar, Universität Duisburg-Essen)(2020/11)
- Which numbers are sums of two cubes?(conference：Barcelona Mathematical Days 2020, Institut d'Estudis Catalans)(2020/10)
- The arithmetic of a classical family of elliptic curves(conference：KIAS Number Theory Seminar, Korea Institute for Advanced Study (KIAS))(2020/10)
- The arithmetic of twists of the Fermat elliptic curve(conference：Algebra and Number Theory seminar, Queen Mary University of London)(2020/10)
- On the non-triviality of arithmetic invariants and its applications(conference：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(conference：Utrecht Geometry Center Seminar, Universiteit Utrecht)(2019/10)
- Some friends and family of the Fermat curve(conference：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(conference：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(conference：Iwasawa 2019, Institut de Mathématiques de Bordeaux)(2019/06)
- Iwasawa theory of elliptic curves with complex multiplication(conference：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(conference：Symmetry, Geometry and Arithmetic Seminar, Universität Heidelberg)(2019/01)
- On the weak Leopold conjecture for a non-cyclotomic Z2-extension(conference：Arithmetische und Algebraische Geometrie Oberseminar, LMU München)(2018/10)
- On the L-values of families of quadratic twists of elliptic curves(conference：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(conference：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(conference：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)(conference：Number Theory Seminar, University of Nottingham)(2017/02)
- On the main conjecture of Iwasawa theory and p-adic L-functions(conference：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(conference：London Number Theory Seminar, UCL)(2016/02)
Others
- 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 Proceedings of the workshop on number theory 2022 2023/06
Arts and Fieldwork
Patent
Theme to the desired joint research
Grant-in-Aid for Scientific Research
Competitive research funding,Contribution
Collaborative research,Consignment study
Classes (Bachelors)
○Linear Algebra IIA(2024)
○Linear Algebra IIB(2024)