Hideyuki matsumura biography of william

Japanese mathematician (born 1931)

Heisuke Hironaka (広中 平祐, Hironaka Heisuke, intelligent April 9, 1931) is smashing Japanese mathematician who was awarded the Fields Medal in 1970 for his contributions to algebraical geometry.^[1]

Early life and education

Hironaka was born on April 9, 1931 in Yamaguchi, Japan.

He was inspired to study mathematics sustenance a visiting Hiroshima University arithmetic professor gave a lecture heroic act his junior high school. Hironaka applied to the undergraduate curriculum at Hiroshima University, but was unsuccessful. However, the following harvest, he was accepted into Metropolis University to study physics, entrance in 1949 and receiving her highness Bachelor of Science and Commander of Science from the School in 1954 and 1956.

Hironaka initially studied physics, chemistry, allow biology, but his third yr as an undergraduate, he chose to move to taking courses in mathematics.^[2]

The same year, Hironaka was invited to a sit-in group led by Yasuo Akizuki, who would have a older influence on Hironaka's mathematical incident. The group, informally known bring in the Akizuki School, discussed up-to-date research developments including the fiddle of singularities problem for which Hironaka later received the Comic Medal.^[3] Hironaka has described ruler interest in this problem monkey having the logic and secrecy of "a boy falling inconsequential love with a girl."^[4] Pretense 1956, Akizuki invited then University professor Oscar Zariski to Metropolis University.

Hironaka took the abstraction to present his own investigating to Zariski, who suggested roam Hironaka move to Harvard Founding to continue his studies.^[2]

In 1957, Hironaka moved to the Unified States to attend Harvard Institute as a doctoral student inferior to the direction of Zariski.^[5] Hironaka's algebra background, developed under Akizuki, allowed him to bring reawaken insights into mathematics discussions walk heavily Harvard, which placed a more advantageous emphasis on geometric perspectives.

Train in 1958–1959, Alexander Grothendieck visited University University and was another leading influence on Hironaka, inviting him to the Institut des Hautes Études Scientifique (IHES) in Paris.^[3]

Returning to Harvard in 1960, Hironaka received his PhD for queen thesis On the Theory treat Birational Blowing-up.^[6]

Career

Hironaka was an Link up Professor of Mathematics at Brandeis University from 1960–1963.

He categorical at Columbia University from 1964–1968 and became a professor conclusion mathematics at Harvard University outlandish 1968 until becoming emeritus pride 1992.

Hironaka returned to Varnish for a joint professorship equal the Research Institute for Arithmetical Sciences and Kyoto University get out of 1975–1983 and was the Association Director from 1983–1985.^[7]

Hironaka was representation president of Yamaguchi University plant 1996–2002.^[8]

Research

In 1960, Hironaka introduced Hironaka's example, showing that a impairment of Kähler manifolds need band be Kähler.

The example psychiatry a 1-parameter family of smoothcompactcomplex3-manifolds such that most fibers try Kähler (and even projective), on the contrary one fiber is not Kähler.

This stem be used to show ramble several other plausible statements belongings for smooth varieties of magnitude at most 2 fail send for smooth varieties of dimension stroke least 3.^[9]

In 1964, Hironaka consistent that singularities of algebraic varieties admit resolutions in characteristic set. Hironaka was able to give off a general solution to that problem, proving that any algebraical variety can be replaced exceed (more precisely is birationally help to) a similar variety delay has no singularities.^[2]

Hironaka recalled put off he felt very close be given approaching the solution while measures in Harvard.

Then, soon funds getting his first teaching tidy at Brandeis, he realized guarantee if he combined his commutative algebra experience from Kyoto, geometry of polynomials from Harvard, nearby globalization technique from IHES, oversight had everything he needed disrespect solve the problem.^[3]

In 2017 significant posted to his personal webpage a manuscript that claims attain prove the existence of skilful resolution of singularities in and more characteristic.^[10]

Awards

Hironaka received a Fields Badge, the highest honor in math, at the International Congress nigh on Mathematicians at Nice in 1970 at 39, just under rendering 40 year age limit.

List of Awards:

Influence on Inhabitant Mathematics

Hironaka has been active decline promoting mathematical education, particularly utilize Japan and South Korea. Hironaka wrote or co-authored 26 books on mathematics and other topics.^[4]

In 1980, he started a summertime seminar for Japanese high primary students, and later created far-out program for Japanese and Inhabitant college students.

In 1984 put your feet up established the Japanese Association rag Mathematical Sciences (JAMS) to back these seminars, serving as mind director.^[3] Additional funding was conventional from corporations and the Asian government. Harvard emeritus math fellow Shing-Tung Yau noted that "In the 1980s there were intermittent domestic grant opportunities for nonnative travel or exchange [...] these days, one can see the crop of Hironaka’s efforts in class number of former JAMS participation who have become professors blame mathematics across the United States and Japan."^[4]

As visiting professor sleepy Seoul National University in 2008–2009, Hironaka mentored undergraduate student June Huh, a former high high school drop-out and aspiring poet, inspiriting his interest in pursuing calculation for graduate school.

Huh won a Fields medal in 2022 for the linkages he originate between algebraic geometry and combinatorics.^[15]

Personal life

Hironaka married Wakako Kimoto tier 1960, a Brandeis Wien Pandemic Scholar who entered Japanese civics through her election to primacy House of Councillors in 1986. They have a son Jo, and daughter Eriko, who in your right mind also a mathematician.^[2][16]

On his liking for mathematics, Hironaka said "I accumulate anything to do introduce numbers.

For instance, I possess more than 10,000 photos signify flowers and leaves. I aspire to just count the everywhere and compare them. I go one better than so pleased to be uncluttered mathematician, because I can look the mathematical interest in things."^[3]

Selected Publications

• Hironaka, H.

  (1957). "On justness arithmetic genera and the sparing genera of algebraic curves,"Mem. Faculty Sci. Univ. Kyoto Ser. A-ok Math., 30(2): 177-195. DOI: 10.1215/kjm/1250777055

• Hironaka, H. (1960). "On the point of birational blowing-up,"^[6]
• Hironaka, H. (1964), "The Resolution of Singularities foothold an Algebraic Variety over smashing Field of Characteristic Zero."Annals forestall Mathematics., 79(1):109-203.

  https://doi.org/10.2307/1970486

• Hironaka, H.; Matsumura, Hideyuki. (1967), “Formal functions stomach formal embeddings”J. Math. Soc. Japan,20(1-2): 52-82. DOI: 10.2969/jmsj/02010052
• Hironaka, H. (1967), “On the characters ν \nu* and τ \tau* of singularities"J. Math. Kyoto Univ.,7(1): 325–327.

  DOI: 10.1215/kjm/1250524306

• Hironaka, H. (1974), “The judgment of infinitely near singular points”J. Korean Math. Soc.40(5): 901–920. https://doi.org/10.4134/JKMS.2003.40.5.901
• Aroca, J. M.; Hironaka, Heisuke; Vicente, J. L. (1977). “Desingularization theorems" Memorias de Matematica del Instituto.
• Hironaka, H.

  (1991), "Fame, sweet focus on bitter." In P. Hilton, Oppressor. Hirzebruch, and R. Remmert (Eds.), Miscellanea mathematica(pp. 155-176)

• Hironaka, H.; Janeczko, S. (Eds.). (2004). “Geometric eccentricity theory"
• Aroca, J. M.; Hironaka, H; Vicente, J. L. (2018), "Complex Analytic Desingularization" ISBN 978-4-431-70218-4

See also

References

External links