Winner of Abel Prize and Wolff Prize, academician of French Academy of Sciences, academician of American Academy of Arts and Sciences, Jay Gould, professor of mathematics and science of New York University
Mikhail Gromov, born in the Soviet Union on December 23, 1943Boksitogorsk, Abel AwardWolf Prize The winner,National Academy of SciencesForeign academicians, French Academy of Sciences, American Academy of Arts and Sciences,Academician of the European Academy of Sciences，Royal SocietyForeign academician, foreign academician of the Norwegian Academy of Sciences, Jay Gould, professor of mathematical science of the Kurang Institute of New York University, and honorary professor of the French Institute of Advanced Sciences.[1-2][7-9]
Mikhail Gromov graduated in 1965Leningrad State University (NowSaint Petersburg State University ）, obtained a master's degree in mathematics (equivalent to a doctor's degree in the United States in the Soviet education system at that time);In 1967, he was appointed as an assistant professor by Leningrad National University;In 1969, he obtained a doctor's degree from Leningrad National University (equivalent to the authorized professor qualification in the Soviet education system at that time);In 1970, he was invited to participate inNiceHeldInternational Congress of MathematiciansLater, due to the restrictions of the Soviet authorities, he was unable to go in person;In 1974, he went to the United StatesStony Brook University Professor of mathematics;1981-1982 in FranceParis Sixth University(now Pierre and Marie Curie University) as a professor;Since 1982, he has served as a professor in the French Institute of Advanced Science;In 1989, he was elected as a foreign academician of the American Academy of Arts and Sciences;From 1991 to 1996University of MarylandProfessor;Became a French citizen in 1992;Became in 1996New York UniversityJay Gould Professor of Mathematical Science, Kurang Institute;In 1997, he was elected as an academician of the French Academy of Sciences;Obtained in 2009Norwegian Academy of Science and ArtsIssuedabel prize 。[1-2][4]
Mikhail Gromov is mainly devoted to the study of Riemannian geometry, symplectic geometry and geometric group theory.[3]
In 1989, he was elected as a foreign academician of the American Academy of Arts and Sciences and the National Academy of Sciences In 1997, he was elected as an academician of the French Academy of Sciences
On December 23, 1943, Mikhail Gromov was born in Boksitogorsk, the Soviet Union (now Russia).[1]
In 1965, he graduated from Leningrad State University (now St. Petersburg State University) with a master's degree in mathematics (equivalent to a doctor's degree in the United States in the Soviet education system at that time).
In 1967, he married Margarita Gromov and was appointed as an assistant professor by Leningrad National University.[2]
In 1969, he obtained a doctor's degree from Leningrad National University (equivalent to the authorized professor qualification in the Soviet education system at that time).
In 1970, he was invited to participate in the International Conference of Mathematicians held in Nice, France. Later, he was unable to go in person due to the restrictions of the Soviet authorities. Later, he contributed the speech text A topological technique for the construction of solutions of differential equations and inequalities.
In 1974, he went to the United States and served as a professor of mathematics at the State University of New York at Stony Brook.[1-2]
From 1981 to 1982, he served as a professor at the Sixth University of Paris (now Pierre and Marie Curie University) in France.
In 1982, he began to work as a professor at the French Institute of Advanced Science.
In 1989, he was elected as a foreign academician of the American Academy of Arts and Sciences and the National Academy of Sciences.[1-2][9]
From 1991 to 1996, he served as a professor at the University of Maryland.
In 1992, he became a French citizen.[2]
In 1993, he was elected as an academician of the European Academy of Sciences.[10]
In 1996, he became Jay Gould Professor of Mathematics and Science at the Kurang Institute of New York University.
In 1997, he was elected as an academician of the French Academy of Sciences.[1-2]
In 2009, he was awarded the Abel Prize by the Norwegian Academy of Science and Literature for his revolutionary contribution to geometry.[2]
In 2011, he was elected as a foreign academician of the Royal Society.[11]
In 2015, he became honorary professor of the French Institute of Advanced Sciences.[8]
Key achievements
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Scientific research achievements
Overview of scientific research
Mikhail Gromov's main achievements include Gromov compactness theorem, Gromov Hausdorf convergence, almost flat manifold theorem, Gromov Betty number theorem and Bishop Gromov inequality in Riemannian geometry;Pseudoholomorphic curve theory, Gromov Witten invariants and Gromov's noncompact theorem in symplectic geometry;Gromov theorem and Gromov hyperbolic group of polynomial growth group in geometric group theory;And homotopy principle (h-principle) and complex integral theory in partial differential equation theory.Mikhail Gromov's work has applications not only in mathematics, but also in physics (for example, measurement of black holes and heavy stars) and biology (pattern recognition: pattern recognition of DNA sequences in bioinformatics).[1]
Mikhail Gromov's early research includes the research on isometric embedding and regular homotopy theory in the 1960s and early 1970s, and the research on Riemannian space in the late 1970s and 1980s, which established revolutionary concepts.Geometrists before him studied the properties of a single manifold, but Mikhail Gromov put forward the idea of studying a large family of spaces containing manifolds as elements.He proposed to use a new metric structure to extract the attributes of manifolds from the space family.With this method, he solved a lot of problems, especially curvature and topology problems involving the relationship between local and global attributes, and made a breakthrough in a field that is considered mature.The impact of these findings has been reflected in many different directions.For example, traditionally, the contraction problem is only dealt with in the space of positive curvature (such as a sphere), but Mikhail Gromov has achieved significant results by extending his research to the space of negative curvature.By considering the topological limits of manifolds in a space, he also encourages the study of Alexandrov spaces appearing in the boundary.Mikhail Gromov also made new achievements in this field by applying the idea of defining the metric structure of space family to the study of discrete groups.In addition, he proposed the concept of hyperbolic groups, which constitute most discrete groups, thus making an important push for the development of combinatorial group theory and topology.He also discovered Gromov Witten invariant, which is a new topological invariant of symplectic manifolds.[4]
Academic treatise
Date of publication
Title
Type of treatise
1981
Curvature, Diameter and Betti Numbers
Journal paper: Commentarii Mathematici Helvetici
1985
Manifolds of Non-positive Curvature
Journal paper Progress in Mathematics
1986
Partial Differential Relations
Publication Ergebnisse der Mathematik und ihrer Grenzgebiete
1987
Hyperbolic groups
Publication Essays on Group Theory - Mathematical Sciences Research Institute Publications, Volume 8
1993
Asymptotic Invariants of Infinite Groups
Publication Geometric Group Theory - London Mathematical Society Lecture Note Series, Volume 75
1999
Metric Structures for Riemannian and non-Riemannian Manifolds
Publications, Birkh ä user Basel
reference material:[4]
academic exchange
Invited speaker of International Conference of Mathematicians
Time
Venue
1970
Nice, France
1978
Helsinki, Finland
1982
Warsaw, Poland
1986
Berkeley, USA
reference material:[6]
personnel training
Student development
Graduation time
Student Name
Graduation school
1977
Andras Szucs
Saint Petersburg State University
1978
Michael Jackson
Stony Brook University
1982
John Mitchell
Stony Brook University
1982
Pierre Pansu
Paris Diderot
1984
Christophe Bavard
Paris XI University, Olympia
1984
Mikhail Katz
Columbia University
1985
Abdelghani Zeghib
Universite de Bourgogne
1987
François Labourie
Paris Diderot
1992
Nadia Benakli
Paris XI University, Olympia
1999
Denis Auroux
Paris Polytechnic
2003
Yann Ollivier
Paris XI University, Olympia
2008
Antoine Gournay
Paris XI University, Olympia
2010
Yashar Memarian
Paris XI University, Olympia
reference material:[5]
Honor recognition
Award time
Honor recognition
Awarding unit
1971
Moscow Mathematics Society Award
Moscow Mathematics Society
1981
Oswald Weblen Prize for Geometry
American Mathematical Society
1984
Ellie Kartan Award
French Academy of Sciences
1989
Foreign academician of the American Academy of Arts and Sciences
American Academy of Arts and Sciences
1989
Paris Insurance Federation Award
Paris Insurance Federation
1989
Foreign academician of the National Academy of Sciences
National Academy of Sciences
1993
Academician of the European Academy of Sciences
European Academy of Sciences
1993
Wolf Prize
Wolf Foundation
1997
Academician of the French Academy of Sciences
French Academy of Sciences
1997
Steele Prize
American Mathematical Society
1997
Lobachevsky Award
Russian Academy of Sciences
1999
Balzan Award
Balzan Foundation
1999
Janos Boleyai International Mathematics Award
Hungarian Academy of Sciences
2002
Kyoto Award
Kazuo Inamori Foundation
2004
Frederick Ethel Nemes Prize in Mathematics
Northwestern University
2005
Janos Boleyai International Mathematics Award
Hungarian Academy of Sciences
2008
Honorary Fellow of the London Mathematics Society
London Mathematics Society
2009
abel prize
Norwegian Academy of Science and Arts
2011
Foreign Fellow of the Royal Society
Royal Society
—
Foreign academician of Norwegian Academy of Sciences
Norwegian Academy of Sciences
reference material:[1-2][8-11]
Social posts
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Mikhail Gromov was invited as a member of the British Mathematics Seminar in Cambridge in 1985.[2]
Personal life
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Family background
Parents: Leonid Gromov and Leia Rabinowitz.[2]
Character evaluation
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His (Mikhail Gromov) profound and extraordinary insights, whose influence goes far beyond the boundaries of his own geometric field（his profound and extraordinary insights whose influence extends far beyond the boundaries of his own field of geometry）。(London Mathematics Society Review)[2]
Mikhail Gromov, a Russian born French mathematician, is one of the top mathematicians of our time.He is famous for his important contributions to many fields of mathematics, especially geometry（The Russian-French mathematician Mikhail L Gromov is one of the leading mathematicians of our time. He is known for important contributions in many areas of mathematics, especially geometry）。(Abel Award)[2]
Mikhail Gromov is always pursuing new problems and constantly thinking about new ideas to solve old problems.He has created profound and original works throughout his career, and maintains extraordinary creativity.His work will continue to be the source of inspiration for many future mathematical discoveries（Mikhail Gromov is always in pursuit of new questions and is constantly thinking of new ideas for solutions to old problems. He has produced deep and original work throughout his career and remains remarkably creative. The work of Gromov will continue to be a source of inspiration for many future mathematical discoveries）。(Reviewed by Abel Award Committee)[2]
(Mikhail Gromov) has made great progress in a series of mathematical fields and made outstanding contributions by introducing innovative methods of measurement structures of various geometric object families.Professor Mikhail Gromov's unique insights integrated many fields such as geometry, algebra and analysis, and had a significant impact on all mathematical sciences.By applying innovative ideas and radical non-traditional mathematical methods, he made a major breakthrough and solved many complex problems in modern geometry.Professor Mikhail Gromov is one of the greatest geometers today. He followed the lead of the 19th centuryBernhard Riemann andJules Henri Poincare And the twentieth centuryEli Joseph GadangandChen XingshenThe footsteps of（Outstanding Contribution through Dramatic Developments in a Range of Mathematical Fields by Introducing the Innovative Method of a Metric Structure for Families of Various Geometrical Objects.Professor Gromov’s original insights integrate a variety of fields – including geometry, algebra, and analysis – and have had a substantial impact on all the mathematical sciences. Through the application of innovative ideas and radical nontraditional mathematical methods, he has made major breakthroughs that solve numerous complicated problems in modern geometry.Professor Gromov is one of the greatest geometers of our day,following in the footsteps of Georg Friedrich Bernard Riemann and Jules Henri Poincare in the nineteenth century and Elie Joseph Cartan and Shiing-shen Chern in the twentieth century）。(Kyoto Basic Science Award)[4]
