Heisuke Hironaka
Heisuke Hironaka | |
---|---|
Born | |
Nationality | Japanese |
Alma mater | Kyoto University, Harvard University |
Awards | Asahi Prize (1967) Fields Medal (1970) Order of Culture (1975) Legion of Honour (2004) |
Scientific career | |
Fields | Mathematics |
Institutions | Brandeis University Harvard University Columbia University Kyoto University |
Doctoral advisor | Oscar Zariski |
Doctoral students | Dave Bayer William Haboush Allen Tannenbaum Bernard Teissier |
Heisuke Hironaka (広中 平祐, Hironaka Heisuke, born April 9, 1931) is a Japanese mathematician who was awarded the Fields Medal in 1970 for his contributions to algebraic geometry.[1]
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.[2][3]
Hironaka held teaching positions at Brandeis University from 1960-1963, Columbia University in 1964, and Kyoto University from 1975 to 1988.[4] He was a professor of mathematics at Harvard University from 1968 until becoming emeritus in 1992 and was a president of Yamaguchi University from 1996 to 2002.[5]
Research[]
In 1964, Hironaka proved that singularities of algebraic varieties admit resolutions in characteristic zero.[6] This means that any algebraic variety can be replaced by (more precisely is birationally equivalent to) a similar variety which has no singularities. He also introduced Hironaka's example showing that a deformation of Kähler manifolds need not be Kähler.[7] In 2017 he posted to his personal webpage a manuscript that claims to prove the existence of a resolution of singularities in positive characteristic.[8]
Awards[]
Hironaka was awarded the Fields Medal in 1970.[9]
Personal life[]
Hironaka has been active in raising funds for causes such as mathematical education.[citation needed] His wife Wakako Hironaka is a politician. His daughter, , is also a mathematician and focuses on low-dimensional topology and geometric topology.[10]
List of books available in English[]
- Formal functions and formal imbeddings / by Heisuke Hironaka and Hideyuki Matsumura (1967)
- On the characters and of singularities / by Heisuke Hironaka
- Introduction to the theory of infinitely near singular points / Heisuke Hironaka (1974)
- The theory of the maximal contact / José M. Aroca, Heisuke Hironaka and José L. Vicente (1975)
- Desingularization theorems / Jose M. Aroca, Heisuke Hironaka and Jose L. Vicente (1977)
- Geometric singularity theory / editors of the volume, Heisuke Hironaka, Stanisław Janeczko (2004)
See also[]
References[]
- ^ "Fields Medallists". Kyoto University. Retrieved March 10, 2014.
- ^ "Meet the 2011 Centennial Medalists". Harvard Magazine. Retrieved March 10, 2014.
- ^ "GSAS ALUMNI". Harvard College. Archived from the original on February 12, 2012. Retrieved March 10, 2014.
- ^ "Professor Emeritus". Research Institute for Mathematical Sciences, Kyoto University. Retrieved March 10, 2014.
- ^ "Former President of Yamaguchi University". Yamaguchi University. Archived from the original on March 10, 2014. Retrieved March 10, 2014.
- ^ Hironaka, Heisuke (1964), "Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I", Annals of Mathematics, 79 (1): 109–203, doi:10.2307/1970486, JSTOR 1970486
- ^ Hironaka, Heisuke (1962), "An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures.", Annals of Mathematics, 75 (1): 190–208, doi:10.2307/1970426, JSTOR 1970426
- ^ "Resolution of singularities in positive characteristics" (PDF). Harvard University. Retrieved May 17, 2017.
- ^ "Fields Medallists". Kyoto University. Retrieved March 10, 2014.
- ^ https://www.math.fsu.edu/~hironaka/Vita/vita2016.pdf
External links[]
- Heisuke Hironaka at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Heisuke Hironaka", MacTutor History of Mathematics archive, University of St Andrews
- Jackson, Allyn; Interview with Heisuke Hironaka; Notices of the American Mathematical Society; vol. 52, no. 9 (October 2005).
- 1931 births
- 20th-century Japanese mathematicians
- 21st-century Japanese mathematicians
- Algebraic geometers
- Fields Medalists
- Harvard University alumni
- Harvard University faculty
- Brandeis University faculty
- Columbia University faculty
- Kyoto University alumni
- Kyoto University faculty
- Institute for Advanced Study visiting scholars
- Living people
- Members of the French Academy of Sciences
- Foreign Members of the Russian Academy of Sciences
- Spouses of Japanese politicians
- Recipients of the Order of Culture
- Chevaliers of the Légion d'honneur
- People from Iwakuni, Yamaguchi