Yakov Eliashberg

Yakov Eliashberg is a prominent mathematician known for his work in symplectic geometry and contact geometry, with contributions to differential geometry and topology. His research has been influenced by the works of Andreas Floer, Mikhail Gromov, and Vladimir Arnold. Eliashberg's collaborations with mathematicians such as Helmut Hofer and Dusa McDuff have led to significant advancements in the field. He has also been associated with institutions like the Mathematical Sciences Research Institute and the Institute for Advanced Study.

● Early Life and Education

Yakov Eliashberg was born in Leningrad, Soviet Union, and grew up in a family of intellectuals, with his father being a physicist at the Leningrad Polytechnic Institute. He developed an interest in mathematics at an early age, inspired by the works of Leonhard Euler and Pierre-Simon Laplace. Eliashberg pursued his higher education at the Leningrad State University, where he was mentored by prominent mathematicians like Dmitri Faddeev and Lev Pontryagin. He later moved to the University of California, Berkeley, where he earned his Ph.D. under the supervision of Stephen Smale and Morris Hirsch.

● Career

Eliashberg's academic career began at the University of California, Berkeley, where he worked as a postdoctoral researcher alongside mathematicians like William Thurston and John Milnor. He later joined the faculty at Stanford University, where he has been a professor of mathematics since the 1990s. Eliashberg has also held visiting positions at institutions like the École Polytechnique, University of Geneva, and University of Oxford. His research has been supported by organizations such as the National Science Foundation and the Sloan Foundation.

● Mathematical Contributions

Eliashberg's work in symplectic geometry and contact geometry has been highly influential, with contributions to the study of symplectic manifolds and contact manifolds. He has also made significant contributions to the field of differential geometry, particularly in the study of Riemannian manifolds and Lorentzian manifolds. Eliashberg's collaborations with mathematicians like Clifford Taubes and Tomasz Mrowka have led to important results in gauge theory and topology. His work has been recognized by the mathematical community, with invitations to speak at conferences like the International Congress of Mathematicians and the Joint Mathematics Meetings.

● Awards and Honors

Eliashberg has received numerous awards and honors for his contributions to mathematics, including the Oswald Veblen Prize in Geometry from the American Mathematical Society. He has also been awarded the Crafoord Prize from the Royal Swedish Academy of Sciences and the Steele Prize for Lifetime Achievement from the American Mathematical Society. Eliashberg is a fellow of the American Academy of Arts and Sciences and the National Academy of Sciences, and has been elected to the Russian Academy of Sciences and the Academia Europaea.

● Personal Life

Eliashberg is married to Nancy Hingston, a mathematician at the College of New Jersey. He has two children, Alexander Eliashberg and Olga Eliashberg, who are both involved in mathematics and science. Eliashberg is an avid hiker and enjoys spending time outdoors, often participating in mathematical conferences and workshops in scenic locations like the Banff International Research Station and the Mathematical Research Institute of Oberwolfach. He has also been involved in various mathematical outreach programs, including the Mathematical Sciences Research Institute's National Mathematics Festival.