Masahiro Shiota

Nagoya University — Japan

Mathematics · Physical Sciences

16h-index1.2kcitations102works0.02yr avg
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Research Topics

Advanced Topology and Set Theory(22), Homotopy and Cohomology in Algebraic Topology(21), Algebraic Geometry and Number Theory(18), Advanced Differential Equations and Dynamical Systems(18), Advanced Topics in Algebra(14)

Publications102 total

Unstability problem of real analytic maps
Bulletin of the London Mathematical Society·2024Open Access
Unstability problem of real analytic maps
arXiv (Cornell University)·2024Open Access
Finiteness of semialgebraic types of Nash mappings defined on a Nash surface
Mathematische Zeitschrift·2018· 1 cited
Unique Triangulation of the Orbit Space of a Differentiable Transformation Group and its Applications
Advanced studies in pure mathematics·2018· 27 cited
Semialgebraic metric spcaes and resolution of singularities of definable sets
arXiv (Cornell University)·2017· 1 citedOpen Access
Real Milnor Fibres and Puiseux Series
Annales Scientifiques de l École Normale Supérieure·2017· 1 cited
Real Milnor Fibres and Puiseux Series
Annales Scientifiques de l École Normale Supérieure·2017Open Access
Measuring definable sets in o-minimal fields
Israel Journal of Mathematics·2015· 3 cited
Continuous mappings between spaces of arcs
Bulletin de la Société mathématique de France·2015· 1 citedOpen Access
Measuring definable sets in o-minimal fields
arXiv (Cornell University)·2014Open Access
Measuring definable sets in o-minimal fields
arXiv (Cornell University)·2014Open Access
Triangulation of the map of a G-manifold to its orbit space
Nagoya Mathematical Journal·2013
O-minimal Hauptvermutung for polyhedra I
Inventiones mathematicae·2013· 5 citedOpen Access
Directional properties of sets definable in o-minimal structures
Annales de l’institut Fourier·2013· 8 citedOpen Access
Virtual Poincaré polynomial of the link of a real algebraic variety
Mathematische Zeitschrift·2012
Virtual Poincaré polynomial of the link of a real algebraic variety
Mathematische Zeitschrift·2012· 3 citedOpen Access
Distributional expansion of Cerastrina sugitanii in Ibaraki Prefecture
Yadoriga·2012Open Access
Thorn’s first isotopy lemma: a semialgebraic version, with uniform bound
2012· 8 cited
Geometry of subanalytic and semialgebraic sets: abstract
2012· 1 cited
Continuous mappings between spaces of arcs
arXiv (Cornell University)·2012Open Access
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Frequent Co-authors

Michel Coste(7), Jacek Bochnak(3), Wojciech Kucharz(3), Jesús M. Ruíz(3), Satoshi Koike(3), Jérôme Bolte(2), Aris Daniilidis(2), Adrian S. Lewis(2), M. Yokoi(2), Takao Matumoto(2), Goulwen Fichou(2), Takashi Tomita(1), T. Kinosada(1), Tatuya Yamashita(1), Takeshi Sakurai(1), Toshizumi Fukui(1), Goo Ishikawa(1), Riccardo Benedetti(1), Jesús María Ruiz Sancho(1), F. Acquistapace(1)