Home Page for Haruzo HIDA

Forthcoming Conferences and Lectures:

• A lecture series on Tate conjecture for quaternionic Shimura varieties at National Taiwan University from March 19 to Mid June 2024 (Tuesdays),
  Lecture notes:
  Lecture 1: [pdf], Lecture 2: [pdf], Lecture 3: [pdf], Lecture 4: [pdf], Lecture 5: [pdf], Lecture 6: [To be posted],
  and a visit to Academia Sinica (Taipei, Taiwan) in late June.

• A plan to attend Fujiwara anniversary conference at Tokyo University [html], Tokyo Japan, from July 1st to July 5th, 2024.

• A plan to make a research visit again to TIFR, Mumbai, India, and other research institutes in India possibly from December 2024, details will follow.

Past Conferences/Workshops/Lectures (past 5 years):

• AIM workshop at CalTech:

  Analytic, arithmetic, and geometric aspects of automorphic forms

  from January 29 to February 2 (2024) at Caltech, Pasadena [html].

• A research visit to Peking university, Beijing, China

  mid-October 2023.
  Lectures at Peking University [pdf], Morningside Center of Mathematics [pdf] and a colloquium talk at Renmin University [pdf].

• International conference: Galois Representations and Automorphic Forms

  August 20-26, 2023 in Bedlewo, Poland [html].
  

• A research visit to Tata Institute of Fundamental Research (TIFR), Mumbai, India

  for May-June, 2023.

  A talk is given on May 31 at TIFR.

  Alongside, research visits to Harish-Chandra Research Institute, Prayagraj, India and Indian Institute of Technology Kanpur, India are planned after the TIFR visit.

• A research visit to Columbia University

  for April 10-15, 2023.

• A conference in memory of Claus-Günther Schmidt: "Special values of L-functions"

  [html] for March 13-17 2023. Paderborn University, Paderborn, Germany.
  Organising Committee: Haruzo Hida (UCLA), Fabian Januszewski (Paderborn University), Tadashi Ochiai (Osaka University), A. Raghuram (Fordham University).
  

• A research visit to Universite de Paris XIII

  from March 18 to 31 in 2023 (a seminar talk note [pdf]).

• A BIRS conference: "Arithmetic Aspects of Deformation Theory (23w5134)"

  [html] for 1/15-20/2023 Invited and attended online.

• A research visit to Tata Institute of Fundamental Research (TIFR), Mumbai, India

  for November-December, 2022. A series of lectures: 1st talk notes [pdf] on adjoint L-value formula (which is also the notes for Pune talk), 2nd lecture notes [pdf] on local indecomposability of modular Galois representation.

• A colloquium talk on November 7 (2022) at Ashoka University, Delhi, India.

• A colloquium talk on November 11 (2022) at Indian Institute of Technology Bombay, Mumbai, India.

• A colloquium talk on November 17 (2022) at Tata Institute of Fundamental Research (TIFR), Mumbai, India

  The pdf file [pdf] of the notes of the talk (the content of the talk at Ashoka U. and IIT is based on this note also).

• A colloquium talk on December 2 (2022) at IISER Pune, India

  The pdf file [pdf] of the notes of the talk (the content of the talk at IISER Pune is based on this note).

• A UCLA student seminar talk

  9/27/2022.
• ICTS hybrid conference organized by Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS).

  Elliptic curves and the special values of L-functions, 08 August 2022 to 19 August 2022

  International Center for Theoretical Sciences, Bangalore, India.

  A link to the notes of Hida's lecture: [1st lecture], [2nd lecture], [3rd lecture], [last lecture].

• CEFIPRA online conference Organized by Baskar Balasubramanyam (IISER Pune, India), Vincent Pilloni (LMO, Paris Sacley), Jacques Tilouine (Universite Paris 13) and Haruzo Hida (UCLA).

  L-functions and Iwasawa theory, November 15-19, 2021

  The slide file of Hida's lecture at this conference: [pdf].

• Paris XIII SGAM seminar "Adjoint L-value as period integral" on May 28, 2021, slide file: [pdf], another talk [pdf].
• ICTS online conference Organized by Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) from August 2 to August 7 in 2021 (Indian time).

  Elliptic Curves and the Special Values of L-Functions

COURSES

• Math 207c Spring 2020
• Math 205a Fall 2019
• Math 207a Winter 2019
• Math 207b Spring 2018
• Math 207a Winter 2018
• Math 205c Spring 2017
• Math 205b Winter 2017
• Math 205a Fall 2016
• Math 207b Winter 2016
• Math 205a Fall 2015
• Math 207b Winter 2014
• Math 207b Winter 2013
• Math 207b Winter 2012

Ph.D. Students

• Koji Kitagawa, 1991 (1963-2007)
• Brad Wilson, 1993
• Chandrashekhar Khare, 1995 Khare's homepage
• Eknath Ghate, 1996 Ghate's homepage
• Sheena Cho, 1999, the thesis of Sheena Cho is a part of her joint work with V. Vatsal. Here is Vatsal's web site which contains the preprint: [Vatsal's home page]
• Ami Fischman, 2001, his paper (which is a part of his thesis) [Fischman's home page]
• Hsin-Tai Wu, 2001,
• Cristian Virdol, 2005, his papers (including his thesis) [Virdol's homepage]
• Hae-Sang Sun, 2007, his papers (including his thesis) [Sun's home page]
• Craig Citro, 2009, his papers [Citro's home page]
• Lin Chen, 2009, (passed away untimely in 2009 after graduation)
• Miljan Brakočević, 2011
• Bin Zhao, 2014, his papers [Research Gate]
• Ashay Burungale, 2015, his papers [Ashay's homepage]
• Jaclyn Lang, 2016, her papers [Jackie's homepage]
• Geunho Gim, 2018
• Jaehoon Lee, 2019
• John Yu, 2019

H. Hida, Elementary Modular Iwasawa Theory, published in January 2022 in ``Series on Number Theory and its Application 16", World Scientific:
[World Scientific web site on this book] (preface and Chapter 1 available free posted on this page), a slide file for the summary of Chapter 4 [pdf]

H. Hida, Elliptic Curves and Arithmetic Invariants, Springer Monographs in Mathematics, 2013,
[Springer link] and [Springer web site of this book]

H. Hida, Geometric Modular Forms and Elliptic Curves, Second Expanded Edition, World Scientific Publishing Co., Singapore, 2011,
[World Scientific web site on this book] (Chapter 1 is free to download from this site)

H. Hida, Hilbert Modular Forms and Iwasawa Theory, Oxford Mathematical Monographs, Oxford University Press, 2006
[ Oxford web site on this book]. A list of misprints (as of 10/16/22): [pdf]

H. Hida, p-Adic Automorphic Forms on Shimura Varieties, Springer Monographs in Mathematics, 2004,
[Springer link], A list of misprints (as of 6/26/07): [pdf]

H. Hida, Modular Forms and Galois Cohomology, Cambridge Studies in advanced mathematics 69, 2000,
[ Cambridge University Press web site on this book ], A list of misprints (as of March 1, 2021): [pdf]

H. Hida, Geometric Modular Forms and Elliptic Curves, World Scientific Publishing Co., Singapore, 2000,
A list of misprints (as of September 16, 2011): [pdf]

H. Hida, Elementary Theory of L-functions and Eisenstein series, 1993, Cambridge University Press, Book [Cambridge web page]

p-Adic Aspects of Modular Forms, edited by Baskar Balasubramanyam, Haruzo Hida, A Raghuram, Jacques Tilouine, World Scientific Publishing Co., Singapore, 2016,
[World Scientific web site on this book] (Chapter 1 is free to download from this site)

H. Hida, The universal ordinary deformation ring associated to a real quadratic field, preprint [Version of 3/10/21] (e=2 is stil an open question), published online in 2022, Math. Sciences, Proc. Indian Academy of Sci., reprint from Springer [pdf], reprint from Indian Academy [pdf], a Youtube link to a lecture at Columbia U. [11/19/20], a slide for a graduate student seminar lecture [pdf].

H. Hida, Local indecomposability via a presentation of the Hecke algebra, appendix to "Class groups and local indecomposability for non-CM forms" by F. Castella and C. Wang-Erickson, Journal of the European Mathematical Society, EMS site: [EMS] (entire paper), a preprint version: [ArXiv].

H. Hida, Cyclicity of adjoint Selmer groups and fundamental units, posted on Project Euclid: [pdf], preprint version of 12/28/20 [pdf], "Development of Iwasawa theory - The Centennial of K. Iwasawa's Birth" from Advanced Studies in Pure Mathematics 86 (2020), 351-411 (MSJ), a slide at Iwasawa 2017 [pdf].

H. Hida and J. Tilouine, Symmetric Power Congruence Ideals and Selmer Groups, preprint version of 10/12/18 [pdf], Journal of the Inst. of Math. Jussieu. 19 (2020), 1521-1572 , [html].

A. Burungale and H. Hida, p-rigidity and Iwasawa mu-invariants, Algebra & Number Theory 11 (2017), 1921-1951, a link to a reprint [html], a preprint version, [pdf].

H. Hida, Control of Lambda-adic Mordell-Weil groups, in "Elliptic Curves, Modular Forms and Iwasawa Theory" pp.253-294 (Coates 70th anniversary proceedings volume in "Proceedings in Mathematical Sciences 188, 2016" from Springer), a preprint version [pdf], Springer web page [htm] (ISBN 978-3-319-45032-2).

H. Hida, Arithmetic of adjoint L-values, Chapter 6 of p-Adic Aspects of Modular Forms, pp.185-236, World Scientific, 2016, Beijing lecture series web page, Lecture notes: No.1 [pdf], No.2 [pdf].

H. Hida, Growth of Hecke fields along a p-adic analytic family of modular forms, "Families of Automorphic Forms and the Trace Formula", pp.129-173, Simons Symposia, Springer, 2016, DOI 10.1007/978-3-319-41424-9-4, a reprint [pdf], Springer web site for the book [html].

A. Burungale and H. Hida, Andre-Oort conjecture and non-vanishing of central L-values over Hilbert class fields, Forum of Mathematics, Sigma 4 (2016), e20, 26 pp, DOI: [htm].

H. Hida, Limit Mordell-Weil groups and their p-adic closure, Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015) 221-264, Reprint file from Documenta Math: [pdf].

H. Hida and J. Tilouine, Big image of Galois representations and the congruence ideal, in the proceedings of the 2013 Bonn conference, Hausdorff trimester, LMS Lecture notes 420 (2015), 217-254, preprint, a version of 8/16/14 [pdf].

H. Hida, Big Galois representations and p-adic L-functions, Compositio Math. 151 (2015), 603-664, doi:10.1112/S0010437X14007684, link to the journal repreint file [pdf], a preprint version of 7/6/2014:[pdf], a slide for Paris talk [pdf].

A. Burungale, H. Hida and Shilin Lai, On the Frobenius fields of abelian varieties over number fields, preprint: [ArXiv] a version of 2/14/2024,

H. Hida, Non-vanishing of integrals of a mod p modular form, a preliminary version, preprint: [Version of 1/24/24], ICTS hybrid conference lectures: [1st lecture], [2nd lecture], [3rd lecture], [last lecture],

H. Hida, Adjoint L-value as a period integral and the mass formula of Siegel-Shimura, to appear in Kyoto Journal of Mathematics, preprint: [Version of 4/18/23] (a preliminary version), slide files [pdf] (11/15/21), [pdf] (4/14/23).

A. Burungale, H. Hida and Y. Tian, Horizontal variation of Tate--Shafarevich groups, a version of 12/31/17 [ArXiv],

H. Hida, Anticyclotomic cyclicity conjecture, preprint (a version of 6/23/17) [pdf], Rubinfest slide [pdf], a BIRS talk slide [pdf].

H. Hida, A series of lectures at Tata institute of fundamental research (Mumbai, India) 6/25/15-7/23/15, 1. Graduate students seminar [pdf], 2. Two lectures for limit Tate-Shafarevich groyps [pdf], [pdf], 3. Colloquium talk [pdf], 4. A lecture on limit Mordell-Weil groups [pdf].

H. Hida, Analytic variation of Tate-Shafarevich groups, preprint, a version of 11/2/17 [pdf].

H. Hida, On the rank of Mordell-Weil groups of abelian varieties of GL(2)-type, preprint, a version of 11/20/14 [pdf].