William Hamilton Meeks, III explained

William Hamilton Meeks III (born 8 August 1947 in Washington, DC) is an American mathematician, specializing in differential geometry and minimal surfaces.

Meeks studied at the University of California, Berkeley, with bachelor's degree in 1971, master's degree in 1974, and Ph.D. in 1975 with supervisor H. Blaine Lawson and thesis The Conformal Structure and Geometry of Triply Periodic Minimal Surfaces in

R ^{3} .^[1] He was an assistant professor in 1975–1977 at the University of California, Los Angeles (UCLA), in 1977–1978 at the Instituto de Matemática Pura e Aplicada (IMPA), and in 1978–1979 at Stanford University. From 1979 to 1983 he was a professor at IMPA. He was from 1983 to 1984 a visiting member of the Institute for Advanced Study and from 1984 to 1986 a professor at Rice University with the academic year 1985–1986 spent as a visiting professor at the University of California, Santa Barbara. From 1986 to 2018 he has been the George David Birkhoff Professor of Mathematics at the University of Massachusetts, Amherst.^[2] He currently is at the Institute for Advanced Study after assuming professor emeritus status at UMass Amherst.^[3]

He is known as an expert on minimal surfaces and their computer graphics visualization; on the latter subject he has collaborated with David Allen Hoffman. For the academic year 2006/07 Meeks was a Guggenheim Fellow.^[2]

In 1986 at the International Congress of Mathematicians in Berkeley, he was Invited Speaker with talk Recent progress on the geometry of surfaces in

R ^{3} and on the use of computer graphics as a research tool.^[2]

Selected publications

• with Shing-Tung Yau: 1980. Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Annals of Mathematics. 112. 3. 441–484. 10.2307/1971088. 1971088. Meeks. William H. Yau. Shing-Tung.
• A survey of the geometric results in the classical theory of minimal surfaces. Bol. Soc. Bras. Mat.. 12. 1. 1981. 29–86. 10.1007/BF02588319. Meeks. William H. 126810651.
• with Leon Simon and S.-T. Yau: Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Ann. of Math.. 116. 1982. 3. 621–659. 10.2307/2007026. 2007026. Iii. William Meeks. Simon. Leon. Yau. Shing-Tung.
• with S.-T. Yau: The existence of embedded minimal surfaces and the problem of uniqueness. Mathematische Zeitschrift. 179. 2. 1982. 151–168. 10.1007/BF01214308. Meeks. William W. Yau. Shing-Tung. 120139274.
• with L. P. Jorge: The topology of complete minimal surfaces of finite total Gaussian curvature. Topology. 1983. 22. 2. 203–221. 10.1016/0040-9383(83)90032-0. Jorge. Luquesio P. Meeks. William H.
• with G. Peter Scott: 10.1007/BF01389073. Inventiones Mathematicae. 1986. 86. 2. 287–346. Finite group actions on 3-manifolds. Meeks. William H. Scott. Peter. 1986InMat..86..287M. 121224357.
• with David Allen Hoffman: Embedded minimal surfaces of finite topology. Ann. of Math.. 131. 1990. 1–34. 10.2307/1971506. 1971506. Hoffman. David. Meeks. William H. 1. 1506.07793. 55090193.
• with D. Hoffman: The strong half space theorem for minimal surfaces. Inventiones Mathematicae. 1990. 101. 1. 373–377. 10.1007/BF01231506. Hoffman. D. Meeks. W. H. 1990InMat.101..373H. 10695064.
• Book: The geometry, topology, and existence of periodic minimal surfaces. in: Differential geometry: partial differential equations on manifolds (Proceedings of the Summer Research Institute on Differential Geometry held at UCLA. Los Angeles, CA, July 8–28, 1990). Proceedings of Symposia in Pure Mathematics. 54, Part 1. Amer. Math. Soc.. 1993. 333–374. 10.1090/pspum/054.1. https://books.google.com/books?id=ulgECAAAQBAJ. 9780821814949.
• Geometric results in classical minimal surface theory. Surveys in Differential Geometry. 8. 1. 2003. 269–306. 10.4310/SDG.2003.v8.n1.a10. Meeks. W. H. free.
• with Harold Rosenberg: The uniqueness of the helicoid. Ann. of Math.. 2. 161. 2005. 727–758. 3597317. Meeks. William H. Rosenberg. Harold. 10.4007/annals.2005.161.727. free.
• with Joaquín Pérez: The classical theory of minimal surfaces. Bull. Amer. Math. Soc. (N.S.). 48. 3. 2011. 325–407. 10.1090/S0273-0979-2011-01334-9. Meeks Iii. William H. Pérez. Joaquín. free.
• with J. Pérez and Giuseppe Tinaglia: Constant mean curvature surfaces. 2016. 1605.02512. Meeks III. William H. Perez. Joaquin. Tinaglia. Giuseppe. math.DG.

External links

• Homepage
• IAS Profile

Notes and References

1. The conformal structure and geometry of triply periodic minimal surfaces in R ^{3} . Meeks III, William H.. Bull. Amer. Math. Soc.. 83. 1977. 134–136. 10.1090/S0002-9904-1977-14218-3. free. (published version of 1975 Berkeley Ph.D. thesis)
2. Web site: William Hamilton Meeks, III, C.V.. 29 April 2008. math.umass.edu.
3. Web site: William H. Meeks . Members of the Institute for Advanced Study . Institute for Advanced Study . 11 September 2018.