# Shihoko Ishii

#14,324

Most Influential Person Now

Mathematician in Japan

## Shihoko Ishii's AcademicInfluence.com Rankings

Shihoko Ishiimathematics Degrees

Mathematics

#621

World Rank

#1155

Historical Rank

Measure Theory

#4144

World Rank

#4882

Historical Rank

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Mathematics

## Shihoko Ishii's Degrees

- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo

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## Why Is Shihoko Ishii Influential?

(Suggest an Edit or Addition)According to Wikipedia, Shihoko Ishii is a Japanese mathematician and professor at the University of Tokyo. Her research area is algebraic geometry. Education Ishii received her bachelor's degree from Tokyo Women's Christian University in 1973 and her master's degree from Waseda University in 1975. She earned her PhD from Tokyo Metropolitan University in 1983.

## Shihoko Ishii's Published Works

### Published Works

- The Nash problem on arc families of singularities (2002) (114)
- On isolated gorenstein singularities (1985) (68)
- The arc space of a toric variety (2003) (66)
- Divisorial Valuations via Arcs (2007) (56)
- Deformations of Singularities (2014) (50)
- Arcs, valuations and the Nash map (2004) (50)
- JET SCHEMES, ARC SPACES AND THE NASH PROBLEM (2007) (34)
- Quasi-Gorenstein Fano 3-folds with isolated non-rational loci (1991) (32)
- Maximal divisorial sets in arc spaces (2006) (31)
- Mather discrepancy and the arc spaces (2011) (30)
- Hypersurface exceptional singularities (1999) (28)
- The Local Nash problem on arc families of singularities (2005) (27)
- Introduction to Singularities (2014) (21)
- Singularities with respect to Mather-Jacobian discrepancies (2013) (20)
- The quotients of log-canonical singularities by finite groups (2000) (20)
- A geometric characterization of a simple $K3$-singularity (1992) (20)
- Isolated $Q$-Gorenstein Singularities of Dimension Three (1987) (18)
- Small deformations of normal singularities (1986) (17)
- The asymptotic behavior of plurigenera for a normal isolated singularity (1990) (15)
- Geometric Properties of Jet Schemes (2010) (15)
- Singularities in arbitrary characteristic via jet schemes (2015) (14)
- Singularities with the highest Mather minimal log discrepancy (2013) (14)
- Multiplier ideals via Mather discrepancy (2011) (14)
- Du Bois Singularities on a Normal Surface (1987) (13)
- Moduli Space of Polarized del Pezzo Surfaces and its Compactification (1982) (13)
- Small deformation of normal singularities (1987) (12)
- On fano 3-folds with non-rational singularities and two-dimensional base (1994) (12)
- The canonical modifications by weighted blow-ups (1996) (12)
- Smoothness and jet schemes (2008) (10)
- The minimal model theorem for divisors of toric varieties (1999) (10)
- Extremal Functions and Prime Blow-ups (2004) (8)
- A characterization of hyperplane cuts of smooth complete intersections (1982) (8)
- Simultaneous Canonical Models of Deformations of Isolated Singularities (1991) (6)
- Some projective contraction theorems (1977) (6)
- Finite determination conjecture for Mather–Jacobian minimal log discrepancies and its applications (2017) (6)
- The minimal log discrepancies on a smooth surface in positive characteristic (2019) (5)
- Hypersurface non-rational singularities which look canonical from their Newton boundaries (2001) (5)
- The geometric minimal models of analytic spaces (2001) (4)
- Chow instability of certain projective varieties (1983) (4)
- Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic (2018) (4)
- Moduli of subrings of a local ring (1980) (4)
- Isomorphisms of jet schemes (2009) (3)
- A RESOLUTION OF SINGULARITIES OF A TORIC VARIETY AND A NON-DEGENERATE HYPERSURFACE (2007) (3)
- Jet schemes of homogeneous hypersurfaces (2011) (3)
- A supplement to Fujino's paper: On isolated log canonical singularities with index one (2012) (3)
- ON -K2 FOR NORMAL SURFACE SINGULARITIES (1998) (2)
- The global indices of log Calabi-Yau varieties --A supplement to Fujino's paper: The indices of log canonical singularities-- (2000) (2)
- A strongly geometric general residual intersection (2016) (2)
- THE INDEX OF A LOG-CANONICAL SINGULARITY (Singularity Theory and its Applications) (2000) (2)
- The invariant -k2 and continued fractions for 2- dimensional cyclic quotient singularities (2002) (2)
- Jet closures and the local isomorphism problem (2017) (2)
- ON TORIC IMAGE DIVISORS (2001) (1)
- On Pluri-Genera and mixed Hodge structures of isolated singularities (1983) (1)
- On -K2 for normal surface singularities II. (2000) (1)
- Normal Two-dimensional Singularities (2014) (1)
- Singularities : Niigata-Toyama 2007 (2009) (1)
- Small Deformation of Normal Singularities (Erratum). (1987) (1)
- Divisors and Sheaves on a Variety (2014) (0)
- Ja n 20 18 A strongly geometric general residual intersection (2018) (0)
- Definition of a Singularity, Resolutions of Singularities (2014) (0)
- Nash problem for a toric pair and the minimal log-discrepancy (2010) (0)
- Differential Forms Around a Singularity (2014) (0)
- The minimal log discrepancies on a smooth surface in positive characteristic (2020) (0)
- Singularities with the highest Mather minimal log discrepancy (2013) (0)
- Workshop: Singularities and related topics (2019) (0)
- Corrigendum to “Mather discrepancy and the arc spaces”@@@Corrigendum de “Discrépance de Mather et les espaces d’arcs” (2017) (0)
- R. ハーツホーン（高橋宣能・松下大介 訳）：代数幾何学，1，2，3，シュプリンガー・フェアラーク東京，1 2004年，345ページ；2 2005年，167ページ；3 2005年，295ページ． (2007) (0)
- Finite determination conjecture for Mather–Jacobian minimal log discrepancies and its applications (2018) (0)
- A description of divisors by arcs and its applications (2019) (0)
- A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds (2021) (0)
- Global Moduli of Equisingular Complete Curves (1982) (0)
- O ct 2 00 4 ARCS , VALUATIONS AND THE NASH MAP (2004) (0)
- Introduction to Jet Schemes and Arc Spaces(Arc Spaces and Multiplier Ideals) (2007) (0)
- A Fano 3-fold with the 1-dimensional locus of non-rational singularities(Analytic varieties and singularities) (1992) (0)
- Homological Algebra and Duality (2014) (0)
- Minimal model theorem for toric divisors (1997) (0)
- Sheaves, Algebraic Varieties and Analytic Spaces (2014) (0)
- Higher-Dimensional Singularities (2014) (0)
- A fano 3-fold with nonrational singularities and a two-dimensional basis (1996) (0)
- Hodge Theory and Algebraic Geometry (2020) (0)
- A FANO 3-FOLD WITH NON-RATIONAL SINGULARITIES AND A TWO DIMENSIONAL BASIS (1994) (0)
- Hypersurface non-rational singularities which look like canonical from its Newton boundary(Singularities and Complex Analytic Geometry) (1998) (0)
- Quick Overview of Recent Developments on Singularities (2018) (0)
- Introduction to Jet Schemes and Arc Spaces (2006) (0)
- A boundedness of divisors computing minimal log discrepancies for monomial ideals in positive characteristic (2018) (0)
- AN INTRODUCTION TO ARC SPACES (New methods and subjects in singularity theory) (2004) (0)

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## What Schools Are Affiliated With Shihoko Ishii?

Shihoko Ishii is affiliated with the following schools: