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research interests: Galois representations, finite flat group schemes, integral padic Hodge theory, ramification, modular forms
news
 

Padic continuous families of Drinfeld eigenforms of finite slope. pdf, abs revised on Apr. 18, 2019 (uploaded (4/18)) 

Dimension variation of GouvêaMazur type for Drinfeld cuspforms of level Gamma_1(t). pdf, slide, abs revised on Jun. 21, 2018 (uploaded (6/21)) 

On the compactification of the Drinfeld modular curve of level Gamma_1^Delta(n). pdf, abs revised on Nov. 17, 2017 (uploaded (11/17)) 

Duality of Drinfeld modules and Padic properties of Drinfeld modular forms. pdf, old, abs revised on Nov. 28, 2018 (Theorem 1.1 and 4.15 corrected/other minor revisions (11/28)//§4 split out to another paper (11/17)//Minor revision (9/8)//Lemma 4.11 corrected/other minor revisions (8/21)//Lemmata 3.3, 4.11 and 5.4 corrected/§4.5 added and corrected/other minor revisions (7/31)//uploaded (6/23)) 

On a properness of the Hilbert eigenvariety at integral weights: the case of quadratic residue fields. pdf, old, abs revised on Jun. 23, 2016 (Lemma 3.8 and Prop 4.19 corrected (6/23)//§3 split out to another paper (3/16)//Title modified/minor revision (1/5)//Some cases of locally algebraic weights added (12/24)//Remark 3.13 corrected/minor revision (12/14)//uploaded (12/8)) 

Integral padic Hodge theory and ramification of crystalline representations. pdf, old, abs revised on Jan. 24, 2018 (attribution to Abrashkin at page 22 made clear/mention to unwritten notes in the volume omitted at page 18 (1/24)//refereed version/title changed/minor revisions (10/23)) 

publications
Irreducible components of the eigencurve of finite degree are finite over the weight space (with James Newton), to appear in J. Reine Angew. Math. pdf, abs revised on Aug. 1, 2018 (refereed version) 

On canonical subgroups of HilbertBlumenthal abelian varieties, J. Théor. Nombres Bordeaux 30 (2018), no. 2, 355391. pdf, abs revised on Apr. 8, 2017 (refereed version) 

Ramification theory and perfectoid spaces  a survey, RIMS Kokyuroku Bessatsu 53 (2015) 4763. pdf, abs revised on Oct. 6, 2014 (refereed version) 

On lower ramification subgroups and canonical subgroups, Algebra & Number Theory 8 (2014) 303330. pdf, abs revised on Nov. 18, 2012 (refereed version) 

Ramification theory and perfectoid spaces, Compos. Math. 150 (2014) 798834. pdf, old, abs revised on Sep 28, 2013. These pdf files are different from the final publication available here. 

Canonical subgroups via BreuilKisin modules for p=2, J. of Number Theory 137 (2014), 142159. pdf, old2, old, abs revised on Nov. 5, 2013 (refereed version). The final version is available at ScienceDirect.  
Canonical subgroups via BreuilKisin modules, Math. Z. 274 (2013), 933953. pdf, abs, errata revised on Oct. 3, 2012 (refereed version). The final
publication is available at springerlink.com. 

Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields, J. of Number Theory 132 (2012), 20842102.
pdf, old2, old, abs revised on Feb. 14, 2012 (refereed version) 

Ramification correspondence of finite flat group
schemes and canonical subgroups  a survey, RIMS Kokyuroku Bessatsu 32 (2012), 318. pdf, abs revised on Mar. 28, 2011 

On a ramification bound of torsion semistable representations over a local field, J. of Number
theory 129 (2009), 24742503.
abs


Tame characters and ramification of
finite flat group schemes, J. of Number
theory 128 (2008), 10911108. dvi, ps,
pdf, abs revised on May 9, 2007


Ramification and tame characters of
finite flat group schemes of rank two, RIMS
Kokyuroku Bessatsu 4 (2007), 153164.
abs


Ramification of finite flat group schemes over a local field, J. of Number Theory 118 (2006), 145154. abs, errata  
notes/unpublished articles
Table of tadic slopes on Drinfeld modular forms pdf, txt, PARI, old, abs revised on Jun. 21, 2018 (normalization changed (6/21)//errors corrected (5/9)) 

On a ramification bound of semistable mod p representations over a local field dvi, ps, pdf, abs revised on Jul. 7, 2008 (Bound improved) 

HasseArf theorem for
F_pvector space schemes of rank two dvi, ps, pdf, abs revised on May 1, 2007 

articles in Japanese
Drinfeld加群の双対性とP進Drinfeld保型形式 pdf, abs revised on Sep. 28, 2017  
ColemanMazur固有値曲線の次数有限な既約成分は重さ空間上有限 pdf, abs revised on Jun. 22, 2017  
アーベル多様体の標準部分群とヒルベルト固有値多様体 pdf, abs revised on Dec. 31, 2016  
有限平坦群スキームの分類とガロア表現の枠付き変形I pdf, abs revised on Jan. 7, 2009  
分岐理論と有限平坦Galois 表現 pdf, abs revised on Jan. 7, 2008  
Notes for seminars on "ARGOS seminar on
intersections of modular correspondences" abs revised on Dec. 15, 2007  
teaching
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