Haruzo HIDA

Professor of Mathematics

Department of Mathematics, University of California, Los Angeles, California 90095-1555

Office Phone: (310) 206-3382

e-mail address: < hida"at"math"dot"ucla"dot"edu >

- ICTS conference
Organized by Raghuram A, Baskar Balasubramanyam, Haruzo Hida and Jacques Tilouine at IISER (Pune) from June 10 to June 20 in 2014.
**p-adic aspects of modular forms** - FRG/RTG mini-Conference
Organized by D. Blasius, H. Hida, C. Khare and G. Schaeffer at UCLA from May 10 to May 12 in 2013.
**p-adic Modular Forms, L-functions, and Galois representations** - Anniversary conference June 18 to June 23 in 2012.
**p-adic Modular Forms and Arithmetic** - FRG/RTG workshop
organized by K. Prassana (local organizer), D. Blasius, H. Hida, C. Khare, C. Skinner and E. Urban at
University of Michigan from
May 17th to 22th, 2011:
**L-functions, Galois Representations and Iwasawa theory** - FRG/RTG workshop
organized by D. Blasius, H. Hida, C. Khare and E. Urban at
UCLA from
June 14th to 20th, 2010:
**Modular/geometric Iwasawa theory and p-adic L-functions** - International conference
(at Roscoff, France) organized by H. Hida and J. Tilouine for July 13-17 in 2009
### Formes Modulaires, Theorie de Hodge

*p*-adique et Applications - International FRG conference
orgainized by D. Blasius, H. Hida, C. Khare, C. Skinner and E. Urban at UCLA
from March 24 to March 29, 2008:
### Selmer Groups, L-functions, and Galois Deformations

- Math 205b Winter 2017
- Math 110a 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

- 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), his papers [Chen's home page]
- Miljan Brakočević, 2011, his papers [Miljan's home page]
- Bin Zhao, 2014, his papers [Home page of Bin Zhao]
- Ashay Burungale, 2015, his papers [Ashay's homepage]
- Jaclyn Lang, 2016, her papers [Jackie's homepage]

A brief [CV] and Mazur's account on Hida's work with Koji Doi [pdf] (see also the first page of [pdf]). Doi was an important figure in Hida's life as a mentor and also the one who introduced Hida Number Theory (as Hida did not have any under-graduate level knowledge of Mathematics until towards the end of his junior year of the undergraduate study when he somehow met Professor Doi in Kyoto). Doi passed away in summer 2016.

Full List of Publication by H. Hida [pdf] and List of publications with review (subscription to MathSciNet necessary to view) [html]

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

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 September 1, 2016):
[pdf]

H. Hida, *Geometric Modular Forms and Elliptic Curves*,
World Scientific Publishing Co., Singapore, 2000,

[
World Scientific web site on this book],
A list of misprints (as of September 16, 2011):
[pdf]

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, *p-Adic Automorphic Forms on Shimura Varieties*,
Springer Monographs in Mathematics, 2004,

[Springer link],
[
Springer web site on this book],
A list of misprints (as of 6/26/07):
[pdf]

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 3/1/16):
[pdf]

H. Hida, *Elliptic Curves and Arithmetic Invariants*, Springer Monographs in Mathematics, 2013,

[Springer link] and
[Springer web site of this book]

*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)

These works are supported partially by various NSF grants as acknowledged in each article.

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 preprint version [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].

H. Hida, *Transcendence of Hecke operators in the big Hecke algebra*, Duke Math. J. **163** (2014), 1655-1681,
a version of 8/23/2013 [pdf]; a link to Euclid site
[pdf]; talk slide [pdf].

H. Hida, *Lambda-adic Barsotti-Tate groups*, Pacific J. Math. **268** (2014), 283-312, a version of 10/28/2013 [pdf],
an offprint [pdf],
a lecture slide [pdf].

H. Hida, *Hecke fields of Hilbert modular analytic families*, Contemporary Mathematics,
Vol. **614** (2014), 97-137, an offprint [pdf], AMS web page for the book [htm]

H. Hida, *Local indecomposability of Tate modules of non CM abelian varieties with real multiplication*,
J. Amer. Math. Soc. **26** (2013), 853-877, offprint from AMS [pdf], a preprint version of 12/30/2012: [pdf],
a lecture slide note at ENS Lyon 6/19/2013 (and Grenoble) [pdf]

H. Hida, *Image of Lambda-adic Galois representations modulo p*, Inventiones Math. **194** (2013), 1-40,
[pdf] (preprint version);
a link to Springer site [html],
SharedIt link [html]

H.Hida, *A finiteness property of abelian varieties with potentially ordinary good reduction,*
J. Amer. Math. Soc. **25** (2012), 813-826,
a preprint version [pdf], an offprint pdf file [pdf],
a slide talk at Yale conference (2/23/2012):[pdf], an addendum [pdf]

H. Hida, *Vanishing of the mu-Invariant of p-Adic Hecke L-functions,* Compositio Math. **147** (2011), 1151-1178,
reprint [pdf],
a preprint version of 9/7/2010 just before publication [pdf],
a slide of a talk at IAS in March 2011 [pdf]

H. Hida, *Hecke fields of analytic families of modular forms,* J. Amer. Math. Soc. **24** (2011), 51-80,
reprint from AMS: [pdf],
preprint version of 7/18/2010 [pdf],
a summary of the result [BC-MIT talk] on 10/20/09, a slide [pdf],
a public lecture slide (Sofia July 2013) [pdf].

H. Hida, *Constancy of adjoint L-invariant*, Journal of Number Theory **131** (2011) 1331-1346, doi:10.1016/j.jnt.2011.02.001,
[pdf] (reprint from JNT), [pdf] (a preprint version of 1/25/2011)

H.Hida, *Irreducibility of the Igusa tower over unitary Shimura varieties,*
Clay Mathematics Proceedings **13** (2011), 187-203
(reprint: [pdf], a preprint version of 1/20/08: [pdf],
the three UCLA lecture notes on the subject:
[pdf],[pdf],[pdf],
the lectures given in October-November 2007)

H. Hida and J. Tilouine, *Symmetric Power Congruence Ideals and Selmer Groups,* (a version of 11/17/16) [pdf],

H. Hida, *Anticyclotomic cyclicity conjecture,* preprint (a version of 1/3/17) [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 5/2/16 [pdf],
A talk slide [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].

H. Hida, *Control of Lambda-adic Mordell-Weil groups*, preprint,
to appear in Coates 70th anniversary proceedings volume in "Proceedings in Mathematical Sciences" from Springer
[pdf].

A. Burungale and H. Hida, *p-rigidity and Iwasawa mu-invariants*, preprint, a version of 11/21/16
[pdf].

These works are supported partially by various NSF grants as acknowledged in each article.

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