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Jon T. Pitts

From Wikipedia, the free encyclopedia

Jon T. Pitts (1948–2024)[1] was an American mathematician working on geometric analysis and variational calculus. He was a professor at Texas A&M University.

Pitts obtained his Ph.D. from Princeton University in 1974 under the supervision of Frederick Almgren, Jr., with the thesis Every Compact Three-Dimensional Manifold Contains Two-Dimensional Minimal Submanifolds.[2][3]

He received a Sloan Fellowship in 1981.[4]

The Almgren–Pitts min-max theory is named after his teacher and him.[5]

Selected publications

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  • Existence and regularity of minimal surfaces on Riemannian manifolds. Vol. 27. Mathematical Notes. Princeton, NJ; University of Tokyo Press, Tokyo: Princeton University Press, 1981, pp. iv+330. ISBN: 0-691-08290-1.
  • "Applications of minimax to minimal surfaces and the topology of 3-manifolds"
  • "Existence of minimal surfaces of bounded topological type in three-manifolds"

References

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  1. ^ "Jon T. Pitts Obituary 2024". Hillier Funeral Home & Cremations. Retrieved 2024-06-08.
  2. ^ Jon T. Pitts at the Mathematics Genealogy Project
  3. ^ OCLC 39101117
  4. ^ "Past Fellows". Sloan.org. 2012-07-18. Retrieved 2015-05-16.
  5. ^ Yashar Memarian (2013). "A Note on the Geometry of Positively-Curved Riemannian Manifolds". arXiv:1312.0792 [math.MG].
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