Robert Brown Gardner

Robert Brown Gardner
Born	February 27, 1939 Tarrytown
Died	May 5, 1998
Alma mater	University of California, Berkeley
Scientific career
Fields	Differential geometry
Institutions	University of North Carolina at Chapel Hill
Thesis	Differential Geometric Methods in Partial Differential Equations  (1965)
Doctoral advisor	Shiing-Shen Chern
Doctoral students	Robert Bryant

Robert Brown (Robby) Gardner (Tarrytown, New York, February 27, 1939 – May 5, 1998) was an American mathematician who worked on differential geometry.[1]

Biography

Gardner graduated from Princeton University in 1959,[2] earned a master's degree from Columbia University in 1960,[3] and completed his PhD in 1965 from the University of California, Berkeley, under the supervision of Shiing-Shen Chern.[4]

After this, he worked at many places, including the Institute for Advanced Study, and worked as assistant professor at Columbia University between 1967 and 1970. He joined the faculty of the University of North Carolina at Chapel Hill in 1971 and became a full professor there in 1977.[2] He died on May 5, 1998.

Research

Gardner was the author and co-author of three influential books, produced more than fifty papers,[5] eighteen masters students and thirteen Ph.D students.[3][2] Robert Bryant, Duke University's Professor of Mathematics and the president of the American Mathematical Society (2015-2017) was a student of his.[4]

His 1991 book, Exterior Differential Systems, coauthored with R. Bryant, S. S. Chern, H. Goldschmidt, and P. Griffiths, is the standard reference for the subject.[1]

He is better known in the United States for his improvements and popularization of the methods of Élie Cartan (most notably, Cartan's equivalence method, an algorithmic procedure for determining if two geometric shapes are different). The works of Cartan were hard to grasp for most students, and Gardner worked to explain them in more accessible ways.[6][7]

Legacy

In his memory, the UNC Mathematics Department created the Robert Brown Gardner Memorial Fund, devoted to supporting graduate student activities.[2]

Selected publications

• The Method of Equivalence and Its Applications ISBN 978-0-89871-240-7
• R. Bryant, S.-S. Chern, R. B. Gardner, H. Goldschmidt, P. Griffiths, Exterior Differential Systems, MSRI Publications, Springer, 1990
• Lectures on Exterior Algebras Over Commutative Rings
• Differential Geometric Methods in Partial Differential Equations

References

1. Wilkens, George R. (1999), "Remembering the mathematics of Robert Brown Gardner" (PDF), Differential geometry and control (Boulder, CO, 1997), Proceedings of Symposia in Pure Mathematics, vol. 64, Providence, RI: American Mathematical Society, pp. 1–10, doi:10.1090/pspum/064/1654541, MR 1654541
2. Robert Gardner, in memoriam
3. Curriculum vitae of Robert Gardner
4. "Mathematics Genealogy Project". genealogy.ams.org. Retrieved 2015-06-29.
5. Publications of Robert Gardner
6. Fowler, Kristine K. (25 May 2004). Using the Mathematics Literature. CRC Press. p. 184. ISBN 978-0-8247-5035-0.
7. Marsden, Jerrold E.; Ratiu, Tudor (3 July 2007). The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein. Springer Science & Business Media. p. 84. ISBN 978-0-8176-4419-2.

Further reading

• Pat Eberlein, "Robby Gardner (February 27, 1939 - May 5, 1998)"