Martin Scharlemann | Academic Influence

Martin Scharlemann's AcademicInfluence.com Rankings

Martin Scharlemann

Mathematics

#3559

World Rank

#5231

Historical Rank

Topology

#38

World Rank

#57

Historical Rank

Measure Theory

#3347

World Rank

#3952

Historical Rank

mathematics Degrees

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Mathematics

Martin Scharlemann's Degrees

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

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Why Is Martin Scharlemann Influential?

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According to Wikipedia, Martin George Scharlemann is an American topologist who is a professor at the University of California, Santa Barbara. He obtained his Ph.D. from the University of California, Berkeley under the guidance of Robion Kirby in 1974.

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Martin Scharlemann'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

Producing reducible 3-manifolds by surgery on a knot (1990) (145)
Thin position for 3-manifolds (1992) (135)
Heegaard splittings of (surface) x I are standard (1993) (124)
Alternate Heegaard genus bounds distance (2005) (121)
Chapter 18 – Heegaard Splittings of Compact 3-Manifolds (2000) (113)
Sutured manifolds and generalized Thurston norms (1989) (111)
Comparing Heegaard splittings of non-haken 3-manifolds (1996) (109)
Unknotting number one knots are prime (1985) (97)
Link genus and the Conway moves (1989) (83)
Local detection of strongly irreducible Heegaard splittings (1998) (82)
Smooth spheres in ℝ4 with four critical points are standard (1985) (67)
AUTOMORPHISMS OF THE 3-SPHERE THAT PRESERVE A GENUS TWO HEEGAARD SPLITTING (2003) (62)
EIGHT FACES OF THE POINCARE HOMOLOGY 3-SPHERE (1979) (62)
Proximity in the curve complex: boundary reduction and bicompressible surfaces (2004) (57)
Thin position and Heegaard splittings of the 3-sphere (1994) (57)
Tunnel number one knots satisfy the poenaru conjecture (1984) (48)
THE TUNNEL NUMBER OF THE SUM OF n KNOTS IS AT LEAST n (1999) (43)
Detecting unknotted graphs in 3-space (1991) (40)
Unknotting number, genus, and companion tori (1988) (39)
Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures (2010) (35)
A projective plane in R4 with three critical points is standard. Strongly invertible knots have property P (1988) (35)
Uniqueness of bridge surfaces for 2-bridge knots (2006) (35)
Finding Disjoint Seifert Surfaces (1988) (35)
Thin Position in the Theory of Classical Knots (2003) (33)
Levelling an unknotting tunnel (1999) (31)
Annuli in generalized Heegaard splittings and degeneration of tunnel number (1999) (30)
Hyperbolic manifolds and degenerating handle additions (1993) (29)
A proof of the Gordon Conjecture (2008) (28)
Unknotting Tunnels and Seifert Surfaces (2000) (27)
3-manifolds with planar presentations and the width of satellite knots (2003) (26)
THE COMPLEX OF CURVES ON NON-ORIENTABLE SURFACES (1982) (26)
Constructing strange manifolds with the dodecahedral space (1976) (25)
Lecture Notes on Generalized Heegaard Splittings (2005) (23)
The structure of a solvmanifold's Heegaard splittings (1998) (21)
There are no unexpected tunnel number one knots of genus one (2001) (19)
Transversality theories at dimension four (1976) (18)
Powell moves and the Goeritz group (2018) (16)
Comparing Heegaard and JSJ structures of orientable 3-manifolds (1998) (16)
On the additivity of knot width (2004) (14)
Outermost forks and a theorem of Jaco (1982) (14)
Thinning Genus Two Heegaard Spines in S3 (2003) (14)
Tangles, propertyP, and a problem of J. Martin (1986) (14)
Crossing changes (2000) (13)
Genus two Heegaard splittings of orientable three-manifolds (1997) (13)
Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds (2003) (11)
Some Pictorial Remarks on Suzuki's Brunnian Graph (1992) (11)
Multiple genus 2 Heegaard splittings: a missed case (2009) (11)
Surgery on a knot in (Surface x I) (2008) (11)
The four-dimensional Schoenflies conjecture is true for genus two imbeddings (1984) (10)
Comparing Heegaard splittings -the bounded case (1998) (10)
Refilling meridians in a genus 2 handlebody complement (2006) (9)
Linear Algebra - Introduction (2008) (8)
UNLINKING VIA SIMULTANEOUS CROSSING CHANGES (1993) (8)
Generalized Property R and the Schoenflies Conjecture (2006) (7)
Generating the genus g+1 Goeritz group of a genus g handlebody (2011) (7)
The Thurston norm and 2-handle addition (1987) (6)
Least weight injective surfaces are fundamental (1996) (6)
Subgroups of SL(2, R) freely generated by three parabolic elements (1979) (6)
Fibered knots and Property 2R, II (2009) (6)
Conway products and links with multiple bridge surfaces (2006) (6)
Transverse Heegaard splittings. (1997) (5)
Smooth CE maps and smooth homeomorphisms (1978) (5)
Handlebody complements in the 3-sphere: a remark on a theorem of Fox (1992) (4)
Fibered knots and Property 2R (2009) (4)
One Powell generator is redundant (2019) (4)
Heegaard Reducing Spheres for the 3-Sphere (2001) (4)
Transverse Whitehead triangulations. (1979) (4)
Isotopy and Cobordism of Homology Spheres in Spheres (1977) (3)
Simplicial triangulation of noncombinatorial manifolds of dimension less than 9 (1976) (3)
Berge's distance 3 pairs of genus 2 Heegaard splittings (2010) (3)
How a strongly irreducible Heegaard splitting intersects a handlebody (1999) (2)
Thinning genus two Heegaard spines in the 3-sphere (2001) (2)
Geometry and Topology Down Under (2013) (2)
Proposed Property 2R counterexamples classified (2012) (2)
The fundamental group of fibered knot cobordisms (1977) (2)
NON-PL IMBEDDINGS OF 3-MANIFOLDS. (1978) (2)
Essential tori in $4$-manifold boundaries. (1983) (2)
Topology of Knots (1992) (2)
The Hauptvermutung for $C^\infty$ homeomorphisms II. A proof valid for open 4-manifolds (1974) (2)
Proposed Property 2R counterexamples examined (2016) (2)
Equivalence of $5$-dimensional $s$-cobordisms (1975) (2)
Uniqueness in Haken’s Theorem (2020) (1)
A Strong Haken's Theorem (2020) (1)
The subgroup of Δ2 generated by automorphisms of tori (1980) (1)
The Goda-Teragaito conjecture: an overview (2001) (1)
Generating the Goeritz group of $S^3$ (2020) (1)
Genus two Heegaard splittings: an omission (1999) (1)
APPROXIMATING CAT CE MAPS BY CAT HOMEOMORPHISMS (1979) (1)
A remark on companionship and property P (1986) (1)
Dehn's Lemma for Immersed Loops (2017) (1)
3-Manifolds with H2(A,∂A)=0 and a conjecture of stallings (1985) (1)
Powell's Conjecture on the Goeritz group of $S^3$ is stably true (2022) (0)
THE STRUCTURE OF THE HEEGAARD SPLITTINGS OF ASOLVMANIFOLD (2007) (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)
The T H U R S T O N N O R M a N D 2-handle a D D I T I O N (2008) (0)
Two theorems on Heegaard splittings (2016) (0)
J an 2 00 5 ALTERNATE HEEGAARD GENUS BOUNDS DISTANCE (2004) (0)
THOROUGHLY KNOTTED HOMOLOGY SPHERES (2004) (0)
Generating the Goeritz group (2020) (0)
AUTOMORPHISMS OF THE 3-SPHERE PRESERVING A GENUS TWO HEEGAARD SPLITTING (2003) (0)
Definition and examples of Heegaard splittings (2016) (0)
Reconfiguring Qiu's proof of the Gordon Conjecture (2008) (0)
Generalized Heegaard splittings (2016) (0)
THE GODA-TERAGAITO CONJECTURE : AN OVERVIEW (On Heegaard Splittings and Dehn surgeries of 3-manifolds, and topics related to them) (2001) (0)
AN OVERVIEW OF PROPERTY 2R (2011) (0)
Properties of Heegaard splittings (2016) (0)
The Schönflies Conjecture and its spin-offs (2014) (0)
NOTES ON GENERALIZED HEEGAARD SPLITTINGS (2005) (0)
CIRCLE-VALUED MORSE THEORY AND TUNNEL NUMBER OF KNOTS (2009) (0)

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