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 >

- 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** - 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 205a Fall 2014
- Math 115a Fall 2013
- Math 207b Winter 2014
- Math 207b Winter 2013
- Math 207a Fall 2012
- Math 207b Winter 2012
- Math 207c Spring 2011
- Math 207a Fall 2009
- Math 205c Spring 2009

- 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]

At some point in the past, for some time, in the genealogy project, Prof. H. Hijikata was listed as my thesis advisor, and the advisor's name is now revised to be "unknown". To avoid misunderstanding, here is some back-ground for my not having any thesis advisor. Though I talked with him mathematics a couple of times while I was a master course student at Kyoto university (1975-1977), Prof. Hijikata is not my thesis advisor. He was a member of Doctoral committee (along with Prof. M. Nagata) when I was granted doctoral degree in 1980 from Kyoto university. I left Kyoto university in 1977 and assumed a tenured postdoctoral position at Hokkaido university in April 1977 without doctoral degree as I was too young to have a doctoral degree (a tradition in Japan at the time). While I was at Hokkaido university, my informal mentor was Prof. Koji Doi there (and therefore I did not have any thesis advisor). Actually when the doctoral degree was granted, I was in Princeton at IAS (1979-1981; see the acknowledgement in the introduction of my thesis [pdf] posted in JSTOR). A brief [CV] and Mazur's account on Hida's work with Doi [pdf] (see also the first page of [pdf]).

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 March 30, 2009):
[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]
whose US site:
[
Oxford web US-site on this book].
A list of misprints (as of 10/1/11):
[pdf]

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

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

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

H. Hida, *Big Galois representations and p-adic L-functions*, preprint, 62 page, published online in Compositio Math.,
doi:10.1112/S0010437X14007684,
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, offprint from AMS [pdf]

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]

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, *Central critical values of modular Hecke L-function*,
Kyoto Journal of Mathematics, **50** (2010), 777-826
(reprint [pdf], a version of 4/22/2010 typo corrected [pdf])

H. Hida, * The Iwasawa mu-invariant of p-adic Hecke
L-functions*,
Annals of Mathematics, **172** (2010) 41-137 (version of 2/12/2010 an abstract added at the request of Annals)
[pdf], a link to the Annals webpage containing the reprint pdf file
[Annals];
two lecture notes at Paris-Nord/Kyoto university,
one 2-hour and another 1.5 hour on the vanishing [pdf],
a slide of a talk at IAS in March 2011 [pdf]

H. Hida, *Quadratic exercises in Iwasawa theory*,
International Mathematics Research Notices **2009** (2009), 912-952, doi:10.1093/imrn/rnn151
(reprint from Oxford site
[pdf],
[htm],
abstract
[htm],
a preprint version of 11/9/08 [pdf],
Inchon lecture note [pdf])

H. Hida, *Irreducibility of the Igusa tower*,
Acta Mathematica Sinica, English Series, **25** (2009), 1-20
(pdf reprint:[pdf],
[Springerlink])
and the summary of the paper and Section 8.4 of
my Springer book [pdf] (a talk at a Luminy conference on 7/18/06
with title "Irreducibility of the Siegel-Igusa tower";
a more detailed version of 11/5/07)

H. Hida, *Serre's conjecture and base change for GL(2)*, Pure and Applied Math Quarterly, **5** No.1 (2009), 81-125
the published version [pdf] (a preprint version
of 3/15/08: [pdf]),
a talk on a similar topic at a conference in Northwestern university with some result
obtained after the paper was written (a version of 5/14/2008 [pdf])

H. Hida, *L-invariant of symmetric powers of Tate curves*,
Publication of RIMS **45** (2009) No.1, 1-24
(a link to RIMS web site containing the reprint pdf file
[pdf], reprint from Euclid site
[pdf],
a preprint version of 9/26/07 [pdf])

H. Hida, *L-invariants of Tate curves*, Pure and Applied Math Quarterly
**5** (2009) No.4, 1343-1384
(reprint from PAMQ [pdf] and
a preprint version of 9/30/07 [pdf])

Click to download:

H. Hida, *On the rank of Mordell-Weil groups of abelian varieties of GL(2)-type*, preprint, a version of 11/12/14 [pdf].

H. Hida and J. Tilouine, *Big Image of Galois Representations and the Congruence Ideal*, preprint, a version of 8/16/14 [pdf].

H. Hida, *Limit Mordell-Weil groups and their p-adic closure*, to appear in Documenta Math., a preprint version of 9/28/14 [pdf]

H. Hida, *Control of Lambda-adic Mordell-Weil groups*, still in progress!

A. Burungale and H. Hida, *{\mathfrak p}-rigidity and Iwasawa mu-invariants*, preprint, a version of 8/19/13
[pdf].

H. Hida, *CM components of the big Hecke algebra*, A series of lectures at Hokkaido University (12/13-12/17/2010):
[pdf]

H. Hida, *Arithmetic invariant and geometry*, A series of lectures at Kyoto University (10/2-12/10/2010): Lecture 1:[pdf]
Lecture 2:[pdf], Lecture 3:[pdf], Lecture 4:[pdf]

H. Hida, *Arithmetic invariant and Shimura varieties,* Six lectures at Poincare Institute in 2010
Winter (1st, 2nd lectures on 1/22, 3rd, 4th lectures on 1/29 and the last two lectures on 2/5):
Six lectures in one file with unified reference and a table of contents [pdf] (a version of March 15, 2010, some too optimistic statements corrected).

H. Hida, *Lambda-adic p-divisible groups*, I: [pdf], II: [pdf],
two lectures at CRM (Montreal) in September 2005

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

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