Home Page for Haruzo HIDA


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 >

Link to "UCLA Number Theory Group web page": [www.math.ucla.edu/~ntg]

Beijing Lectures (12/8/14-12/31/14, Tsinghua University, Beijing)

  • Lecture series web page Lecture notes are now posted: First set [pdf], Second set [pdf].

    Past Conferences/Workshops:



    COURSES


    Ph.D. Students

    Math. genealogy of Hida [Mathematics Genealogy Project]
    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]

    Books

    These works are supported partially by various NSF grants and other sources as acknowledged in each book.

    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 December 1, 2014): [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]


    Recent Publications in the last 5 years

    (A link to older publications is at the end of this page.)
    These works are supported partially by various NSF grants as acknowledged in each article.

    H. Hida, Big Galois representations and p-adic L-functions, 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])


    Recent Preprints and Lecture Notes

    (Last three years with some exception; a link to older notes is at the end of this page)

    Click to download:

    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 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, preprint, a version of 11/22/14 [pdf].

    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



    Older Publications

    (More than 5 years old)

    Older Lecture Notes

    (More than 5 years old)
    These works are supported partially by various NSF grants as acknowledged in each article.


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