William Jaco | Academic Influence

William Jaco's AcademicInfluence.com Rankings

William Jaco

Mathematics

#1992

World Rank

#3148

Historical Rank

#801

USA Rank

Measure Theory

#3326

World Rank

#3930

Historical Rank

#960

USA Rank

mathematics Degrees

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Mathematics

William Jaco's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is William Jaco Influential?

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According to Wikipedia, William "Bus" H. Jaco is an American mathematician who is known for his role in the Jaco–Shalen–Johannson decomposition theorem and efficient triangulations of 3-manifolds. He retired from Oklahoma State University in 2021 as Regents Professor Emeritus and appointed Adjunct Professor at Rice University in 2021.

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William Jaco's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lectures on three-manifold topology (1980) (671)
Seifert fibered spaces in 3-manifolds (1979) (671)
0-Efficient Triangulations of 3-Manifolds (2002) (163)
An algorithm to decide if a 3-manifold is a Haken manifold (1984) (151)
Algorithms for the complete decomposition of a closed $3$-manifold (1995) (136)
Seifert fibered spaces in irreducible, sufficiently-large 3-manifolds (1976) (105)
ADDING A 2-HANDLE TO A 3-MANIFOLD: AN APPLICATION TO PROPERTY R (1984) (78)
Lectures on the topology of 3-manifolds (1977) (77)
Minimal triangulations for an infinite family of lens spaces (2008) (67)
PL minimal surfaces in 3-manifolds (1988) (66)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Incompressible Surfaces in Once‐Punctured Torus Bundles (1982) (58)
PL equivariant surgery and invariant decompositions of 3-manifolds (1989) (55)
Decision problems in the space of Dehn fillings (1998) (51)
Fundamental Groups of 3-Manifolds which are Extensions (1972) (44)
HEEGAARD SPLITTINGS AND SPLITTING HOMOMORPHISMS (1969) (44)
Coverings and minimal triangulations of 3-manifolds (2009) (40)
Layered-triangulations of 3-manifolds (2006) (38)
Finitely presented subgroups of three-manifold groups (1971) (34)
Algorithms for essential surfaces in 3-manifolds (2002) (33)
Surface homeomorphisms and periodicity (1977) (24)
Varieties of groups and three-manifolds (1973) (19)
Peripheral structure of 3-manifolds (1976) (19)
$$\mathbb Z _2$$-Thurston norm and complexity of 3-manifolds (2013) (18)
Three-manifolds with fundamental group a free product (1969) (18)
Geometric realizations for free quotients (1972) (16)
Roots, relations and centralizers in three-manifold groups (1975) (16)
Surfaces Embedded in M 2 × S 1 (1970) (16)
On certain Subgroups of the fundamental group of a closed surface (1970) (14)
Three-manifold groups (1980) (12)
Retracting three-manifolds onto finite graphs (1970) (12)
ℤ2–Thurston norm and complexity of 3–manifolds, II (2009) (11)
FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS (2006) (10)
On minimal ideal triangulations of cusped hyperbolic 3‐manifolds (2018) (9)
3-MANIFOLDS WHICH FIBER OVER A SURFACE. (1972) (8)
The INGenIOuS project: Mathematics, statistics, and preparing the 21st Century workforce (2014) (7)
Inflations of ideal triangulations (2013) (6)
An algebraic determination of closed orientable 3-manifolds (1979) (5)
Nonretractable cubes-with-holes. (1971) (5)
Bounds for the genus of a normal surface (2014) (5)
A piecewise linear theory of minimal surfaces in 3-manifolds (1986) (4)
Mathematicians’ Central Role in Educating the STEM Workforce (2012) (4)
Annular-Efficient Triangulations of 3-manifolds (2011) (2)
Geometry and Topology Down Under (2013) (2)
Slope norm and an algorithm to compute the crosscap number (2021) (1)
Constructing 3-manifolds from group homomorphisms (1968) (1)
On ends of groups and Johannson's deformation theorem (1980) (1)
Complexity of 3-manifolds obtained by Dehn filling (2022) (1)
Constructing three-manifolds from group homomorphisms/ by William Howard Jaco (1969) (1)
Essential homotopies (The annulus-torus theorems) (1980) (0)
2-manifolds embedded in 3-manifolds (1980) (0)
Loop theorem-sphere theorem: The Tower Construction (1980) (0)
Characteristic Seifert pairs (1980) (0)
Topology Proceedings 54 (2018) pp. 49-68: On Periodic Data of Diffeomorphisms with One Saddle Orbit (2008) (0)
28 F eb 2 00 9 Coverings and Minimal Triangulations of 3 – Manifolds (2020) (0)
Efficient triangulations and boundary slopes (2020) (0)
Deforming homotopy equivalences (1980) (0)
AN ALGEBRAIC DETERMINATION OF CLOSED (2010) (0)
Three-manifold topology: the smith conjecture. (1985) (0)
Geometry and topology down under : a conference in honour of Hyam Rubinstein, 11-22 July 2011, the University of Melbourne, Parkville, Australia (2013) (0)
Seifert fibered manifolds (1980) (0)

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