William Hamilton Meeks, III

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

William Meeks, Berkeley 1981

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 .[1][2] 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.[3] He currently is at the Institute for Advanced Study after assuming Professor Emeritus status at UMass Amherst.[4]

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.[3]

In 1986 at the International Congress of Mathematicians in Berkeley, he was Invited Speaker with talk Recent progress on the geometry of surfaces in and on the use of computer graphics as a research tool.[3]

Selected publications
  • with Shing-Tung Yau: Meeks, William H; Yau, Shing-Tung (1980). "Topology of three dimensional manifolds and the embedding problems in minimal surface theory". Annals of Mathematics. 112 (3): 441–484. doi:10.2307/1971088. JSTOR 1971088.
  • Meeks, William H (1981). "A survey of the geometric results in the classical theory of minimal surfaces". Bol. Soc. Bras. Mat. 12 (1): 29–86. doi:10.1007/BF02588319.
  • with Leon Simon and S.-T. Yau: Iii, William Meeks; Simon, Leon; Yau, Shing-Tung (1982). "Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature". Ann. of Math. 116 (3): 621–659. doi:10.2307/2007026. JSTOR 2007026.
  • with S.-T. Yau: Meeks, William W; Yau, Shing-Tung (1982). "The existence of embedded minimal surfaces and the problem of uniqueness". Mathematische Zeitschrift. 179 (2): 151–168. doi:10.1007/BF01214308.
  • with L. P. Jorge: Jorge, Luquesio P; Meeks, William H (1983). "The topology of complete minimal surfaces of finite total Gaussian curvature". Topology. 22 (2): 203–221. doi:10.1016/0040-9383(83)90032-0.
  • with G. Peter Scott: Meeks, William H; Scott, Peter (1986). "Finite group actions on 3-manifolds". Inventiones Mathematicae. 86 (2): 287–346. Bibcode:1986InMat..86..287M. doi:10.1007/BF01389073.
  • with David Allen Hoffman: Hoffman, David; Meeks, William H (1990). "Embedded minimal surfaces of finite topology". Ann. of Math. 131: 1–34. arXiv:1506.07793. doi:10.2307/1971506. JSTOR 1971506.
  • with D. Hoffman: Hoffman, D; Meeks, W. H (1990). "The strong half space theorem for minimal surfaces". Inventiones Mathematicae. 101 (1): 373–377. Bibcode:1990InMat.101..373H. doi:10.1007/BF01231506.
  • "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. vol. 54, Part 1. Amer. Math. Soc. 1993. pp. 333–374. doi:10.1090/pspum/054.1. ISBN 9780821814949.
  • Meeks, W. H (2003). "Geometric results in classical minimal surface theory". Surveys in Differential Geometry. 8 (1): 269–306. doi:10.4310/SDG.2003.v8.n1.a10.
  • with Harold Rosenberg: Meeks, William H; Rosenberg, Harold (2005). "The uniqueness of the helicoid". Ann. of Math. 161 (2): 727–758. doi:10.4007/annals.2005.161.727. JSTOR 3597317.
  • with Joaquín Pérez: Meeks Iii, William H; Pérez, Joaquín (2011). "The classical theory of minimal surfaces". Bull. Amer. Math. Soc. (N.S.). 48 (3): 325–407. doi:10.1090/S0273-0979-2011-01334-9.
  • with J. Pérez and Giuseppe Tinaglia: Meeks III, William H; Perez, Joaquin; Tinaglia, Giuseppe (2016). "Constant mean curvature surfaces". arXiv:1605.02512 [math.DG].
gollark: There are lots of patents surrounding some codecs, for example.
gollark: I ended up interacting with it because of some annoying issues last year, and it turns out everything is kind of weird.
gollark: .mp4 is just a container though, codecs are a *mess*.
gollark: I mean, technically that *might* just be the Soviet national anthem mp3 I have converted to a webm file, but it's technically spec-compliant, so mwahahahaha.
gollark: You just said you wanted those.

References
  1. William Hamilton Meeks, III at the Mathematics Genealogy Project
  2. Meeks III, William H. (1977). "The conformal structure and geometry of triply periodic minimal surfaces in ". Bull. Amer. Math. Soc. 83: 134–136. doi:10.1090/S0002-9904-1977-14218-3. (published version of 1975 Berkeley Ph.D. thesis)
  3. "William Hamilton Meeks, III, C.V." (PDF). math.umass.edu. 29 April 2008.
  4. "William H. Meeks". Members of the Institute for Advanced Study. Institute for Advanced Study. Retrieved 11 September 2018.
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