# Heisuke Hironaka

#2,404

Most Influential Person Now

Japanese mathematician

## Heisuke Hironaka's AcademicInfluence.com Rankings

Heisuke Hironakamathematics Degrees

Mathematics

#185

World Rank

#425

Historical Rank

Algebraic Geometry

#14

World Rank

#15

Historical Rank

Measure Theory

#1800

World Rank

#2204

Historical Rank

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Mathematics

## Heisuke Hironaka's Degrees

- Bachelors Mathematics Kyoto University

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## Why Is Heisuke Hironaka Influential?

(Suggest an Edit or Addition)According to Wikipedia, Heisuke Hironaka is a Japanese mathematician who was awarded the Fields Medal in 1970 for his contributions to algebraic geometry. Career Hironaka entered Kyoto University in 1949. After completing his undergraduate studies at Kyoto University, he received his Ph.D. in 1960 from Harvard University while under the direction of Oscar Zariski.

## Heisuke Hironaka's Published Works

### Published Works

- Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II (1964) (2737)
- Flattening Theorem in Complex-Analytic Geometry (1975) (213)
- Stratification and Flatness (1977) (141)
- Triangulations of algebraic sets (1974) (140)
- Characteristic polyhedra of singularities (1967) (101)
- On the equivalence of imbeddings of exceptional complex spaces (1964) (99)
- Formal functions and formal embeddings (1968) (92)
- On the arithmetic genera and the effective genera of algebraic curves (1957) (91)
- An Example of a Non-Kahlerian Complex-Analytic Deformation of Kahlerian Complex Structures (1962) (72)
- Additive Groups Associated with Points of a Projective Space (1970) (70)
- Certain numerical characters of singularities (1970) (66)
- Normal cones in analytic Whitney stratifications (1969) (66)
- Smoothing of Algebraic Cycles of Small Dimensions (1968) (52)
- THEORY OF INFINITELY NEAR SINGULAR POINTS (2003) (50)
- THREE KEY THEOREMS ON INFINITELY NEAR SINGULARITIES (2005) (43)
- On Nash Blowing-Up (1983) (35)
- Algebra and Geometry (2006) (30)
- A note on algebraic geometry over ground rings: the invariance of Hilbert characteristic functions under the specialization process (1958) (30)
- On some formal imbeddings (1968) (23)
- Algebraic geometry and commuta-tive algebra (1973) (20)
- Complex Analytic Desingularization (2005) (16)
- Simple Rational Polynomials and the Jacobian Conjecture (2008) (14)
- A Fundamental Lemma on Point Modifications (1965) (14)
- On Zariski Dimensionality Type (1979) (11)
- Local analytic dimensions of a subanalytic set (1986) (10)
- Six years of experience with retrograde biopsy of intraureteral carcinoma using the Dormia stone basket. (1976) (9)
- The resolution of singularities of an algebraic variety (1963) (8)
- On the characters $\nu^*$ and $\tau^*$ of singularities (1967) (7)
- [Clinical evaluation of the effect of tamsulosin hydrochloride and cernitin pollen extract on urinary disturbance associated with benign prostatic hyperplasia in a multicentered study]. (2002) (6)
- [Funicular tuberculosis: report of two cases]. (1971) (5)
- DESINGULARIZATION OF COMPLEX-ANALY TIC VARIETIES (1970) (4)
- A Generalized Theorem of Krull-Seidenberg on Parameterized Algebras of Finite Type (1960) (4)
- On the complex Grassmann manifold (1989) (3)
- Rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds (2011) (2)
- Fame, Sweet and Bitter (1991) (2)
- Fundamental problems on Douady space (1977) (2)
- Editorial (dedication of this issue to Huzihiro Araki) (1993) (2)
- Zariski's Papers on Resolution of Singularities (1991) (2)
- THE WORK OF SHIGEFUMI MORI (1997) (1)
- [Milk of calcium renal stone in a calyceal diverticulum: report of a case and review of the literature]. (1968) (1)
- THREE KEY THEOREMS ON INFINITELY NEAR SINGULARITIES by Heisuke Hironaka (2004) (0)
- Complex-Analytic Spaces and Elements (2018) (0)
- THREE KEY THEOREMS ON INFINITELY NEAR SINGULARITIES by Heisuke Hironaka (2004) (0)
- The joy of learning (2000) (0)
- The Weierstrass Preparation Theorem and Its Consequences (2018) (0)
- On the Mathematical Work of (2008) (0)
- 2006 Fields Medals Awarded, Volume 53, Number 9 (2006) (0)
- Epilogue: Singularities of Differential Equations (2018) (0)
- Chi No Hakken--Eichi (1983) (0)
- Groves and Polygroves (2018) (0)
- The Induction Process (2018) (0)
- Bacteriuria after Operation in the Department of Urology (1980) (0)
- The Notion of Near-Complex Subvariety (Geometry of Manifolds) (1972) (0)
- [DeNetto's orchiopexy: a procedure of scrotal pouch technique without traction]. (1969) (0)
- Results of Closed Loop Ileocystoplasty (1976) (0)

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## What Schools Are Affiliated With Heisuke Hironaka?

Heisuke Hironaka is affiliated with the following schools: