Robert V. Kohn

Robert V. Kohn (born in 1953) is an American mathematician working on partial differential equations, calculus of variations, mathematical materials science, and mathematical finance. He is a professor at the Courant Institute of Mathematical Sciences, New York University.^[1]

Robert Vita Kohn
Born	1953 (age 71–72)
Nationality	American
Alma mater	Harvard University Princeton University
Known for	Caffarelli–Kohn–Nirenberg inequalities
Awards	Sloan Research Fellow (1984) ICM Plenary Lecturer (2006) AMS Fellow (2012) Leroy P. Steele Prize (2014)
Scientific career
Fields	Mathematics
Institutions	Courant Institute of Mathematical Sciences
Doctoral advisor	Frederick J. Almgren Jr.
Doctoral students	Lia Bronsard Robert P. Lipton

Biography

Kohn studied mathematics at Harvard University, obtaining his bachelor's degree in 1974. He obtained his Ph.D. at Princeton University in 1979, as a student of Frederick Almgren.^[2][3]

Work

Kohn is best known for his work on non-linear partial differential equations, including work with Louis Nirenberg and Luis Caffarelli in which they obtained partial results about the regularity of weak solutions of the Navier–Stokes equations.^[4]

Honors

He received a Sloan Research Fellowship in 1984.^[5] In 2006, he was a plenary speaker at the International Congress of Mathematicians, in Madrid (Energy driven pattern formation).^[6] He is a fellow of the American Mathematical Society.^[7] He is an elected member of American Academy of Arts and Sciences.^[8]

Selected publications

• with L. Caffarelli and L. Nirenberg: "Partial regularity of suitable weak solutions of the Navier–Stokes equations", Communications on Pure and Applied Mathematics, n. 35 i. 6, pp. 771–831.
• with L. Caffarelli and L. Nirenberg, "First order interpolation inequalities with weights", Compositio Mathematica n. 53 i. 3, pp. 259–275.
• with Gilbert Strang, "Optimal design and relaxation of variational problems, I", Communications on Pure and Applied Mathematics, n. 39 i. 1, pp. 113–137.