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Shioya Masahiro

Affiliation
Faculty of Pure and Applied Sciences
Official title
Associate Professor
Research keywords
Set Theory
Research projects
Large Cardinal Axiom and Infinitary Combinatorics -- (current)/
高次Chang予想と飽和イデアルのモデルの構成2011 -- 2013Japan Society of for the Promotion of Science/基盤研究(C)2,080,000Yen
小さな無限に内在する巨大な無限の研究2007 -- 2009Japan Society of for the Promotion of Science/基盤研究(C)4,030,000Yen
測度の集合論的研究  2004 -- 2006Japan Society of for the Promotion of Science/基盤研究(C)2,700,000Yen
定常集合の組合せ論2001 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)1,000,000Yen
Career history
2008 -- (current)筑波大学 数学系 准教授
Academic background
-- 1986The University of Tokyo Faculty of Science 数学Graduated
-- 1993University of Tsukuba Graduate School, Division of Mathematics 数学Completed
Degree
Ph.D.(Mathematics)University of Tsukuba
Academic societies
-- (current)Association for Symbolic Logic
-- (current)日本数学会
Articles
  • A MODEL THEORETIC REFLECTION PRINCIPLE REVISITED (Forcing extensions and large cardinals)
    塩谷 真弘
    RIMS Kokyuroku/1851/pp.72-86, 2013-09
  • Weakly normal closures of filters on Pκλ
    Masahiro Shioya
    Journal of Symbolic Logic/58(1)/p.55-63, 1993-01
  • Infinitary Jonsson functions and elementary embeddings
    Masahiro Shioya
    Archive for Mathematical Logic/33(2)/p.81-86, 1994-01
  • The minimal normal μ-complete filter on Pκλ
    Masahiro Shioya
    Proceedings of the American Mathematical Society/123(5)/p.1565-1572, 1995-01
  • Nowhere precipitousness of some ideals
    Yo Matsubara; Masahiro Shioya
    Journal of Symbolic Logic/63(3)/p.1003-1006, 1998-01
  • Regularity of ultrafilters and fixed points of elementary embeddings
    Yoshihiro Abe; Masahiro Shioya
    Tsukuba Journal of Mathematics/22(1)/p.31-37, 1998-01
  • Splitting Pκλ into maximally many stationary sets
    Masahiro Shioya
    Israel Journal of Mathematics/114/p.347-357, 1999-01
  • Partition properties of subsets of Pκλ
    Masahiro Shioya
    Fundamenta Mathematicae/161(3)/p.325-329, 1999-01
  • Generating the club filter on Pκλ
    Masahiro Shioya
    Topology and its Applications/122(1-2)/p.415-419, 2002-01
  • A saturated stationary subset of Pκκ^+
    Masahiro Shioya
    Mathematical Research Letters/10/p.493--500, 2003-01
  • Partitioning pairs of uncountable sets
    Masahiro Shioya
    Logic Colloquium 2000/p.350--364, 2005-01
  • Diamonds on Pκλ
    Masahiro Shioya
    Computational Prospects of Infinity/p.271–298, 2008-01
  • WEAKLY NORMAL CLOSURES OF FILTERS ON (MATHEMATICAL LOGIC AND ITS APPLICATIONS)
    塩谷 真弘
    RIMS Kokyuroku/772/pp.27-37, 1991-12
  • Infinitary Jonsson functions and elementary embeddings(Mathematical Logic and Applications'92)
    塩谷 真弘
    RIMS Kokyuroku/818/pp.111-117, 1993-01
  • Game theoretic properties of the club filter on (Properties of Ideals on )
    塩谷 真弘
    RIMS Kokyuroku/1095/pp.16-21, 1999-04
  • Partition properties of subsets of (Properties of Ideals on )
    塩谷 真弘
    RIMS Kokyuroku/1095/pp.22-27, 1999-04
  • Splitting into maximally many stationary sets (Properties of Ideals on )
    塩谷 真弘
    RIMS Kokyuroku/1095/pp.28-41, 1999-04
  • NONREFLECTING STATIONARY SETS IN (Axiomatic Set Theory)
    Shelah Saharon; 塩谷 真弘
    RIMS Kokyuroku/1202/pp.61-65, 2001-04
  • THE EASTON COLLAPSE AND A SATURATED FILTER (Interplay between large cardinals and small cardinals)
    塩谷 真弘
    RIMS Kokyuroku/1754/pp.108-114, 2011-08
  • SOME APPLICATIONS OF STATIONARY REFLECTION IN
    塩谷 真弘
    RIMS Kokyuroku/1471/pp.54-73, 2006-02
  • Stationary reflection and the club filter
    SHIOYA Masahiro
    Journal of the Mathematical Society of Japan/59(4)/pp.1045-1065, 2007-10
  • A NEW SATURATED FILTER (Axiomatic Set Theory and Set-theoretic Topology)
    塩谷 真弘
    RIMS Kokyuroku/1595/pp.63-69, 2008-04
  • Stationary reflection and the club filter
    Shioya Masahiro
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN/59(4)/pp.1045-1065, 2007-10
  • A proof of Shelah's Strong Covering Theorem for P-kappa lambda
    Shioya Masahiro
    ASIAN JOURNAL OF MATHEMATICS/12(1)/pp.83-97, 2008-03
  • Nonreflecting stationary sets in P-kappa lambda
    Shelah S; Shioya M
    ADVANCES IN MATHEMATICS/199(1)/pp.185-191, 2006-01
Teaching
2019-04 -- 2019-08Research in Information Mathematics VBUniversity of Tsukuba.
2019-10 -- 2020-02Seminar on Special Research on Mathematics IIIBUniversity of Tsukuba.
2019-04 -- 2019-08Introduction to Information Mathematics I -An Approach via Mathematical LogicUniversity of Tsukuba.
2019-04 -- 2019-08Research in Information Mathematics IVBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Information Mathematics IIAUniversity of Tsukuba.
2019-04 -- 2019-08Special Research on Mathematics IIIAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Information Mathematics IIIAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Information Mathematics IVAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Information Mathematics IVBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Information Mathematics IAUniversity of Tsukuba.
Talks
  • A simplified approach to saturated ideals
    塩谷 真弘
    RIMS研究集会/2013-09-09--2013-09-12
  • Chang's conjecture for triples revisited
    Masahiro Shioya
    RIMS研究集会/2010-10-25--2010-10-28

(Last updated: 2018-04-24)