Abigail Thompson | Academic Influence

Abigail Thompson's AcademicInfluence.com Rankings

Abigail Thompson

Mathematics

#2493

World Rank

#3845

Historical Rank

#983

USA Rank

Measure Theory

#4778

World Rank

#5593

Historical Rank

#1329

USA Rank

mathematics Degrees

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Mathematics

Abigail Thompson's Degrees

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

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Why Is Abigail Thompson Influential?

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According to Wikipedia, Abigail A. Thompson is an American mathematician. She works as a professor of mathematics at the University of California, Davis, where she specializes in knot theory and low-dimensional topology. Education and career Thompson graduated from Wellesley College in 1979, and earned her Ph.D. in 1986 from Rutgers University under the joint supervision of Martin Scharlemann and Julius L. Shaneson. After visiting positions at the Hebrew University of Jerusalem and the University of California, Berkeley, she joined the University of California Davis faculty in 1988. Thompson had a postdoctoral fellowship with the National Science Foundation from 1988 to 1991 and a Sloan Foundation Fellowship from 1991 to 1993. She was a member of the Institute for Advanced Study in 1990-1991, 2000-2001, and 2015-2016. She became the Chair of the Department of Mathematics at UC Davis in 2017. She is one of the current vice presidents of the American Mathematical Society; her term is February 1, 2019 to January 31, 2022.

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Abigail Thompson'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

Heegaard splittings of (surface) x I are standard (1993) (124)
Link genus and the Conway moves (1989) (83)
Thin Position and the Recognition Problem for $\bold{S^3}$ (1994) (65)
Thin position and bridge number for knots in the 3-sphere (1997) (64)
Thin position and Heegaard splittings of the 3-sphere (1994) (57)
The disjoint curve property and genus 2 manifolds (1999) (48)
Detecting unknotted graphs in 3-space (1991) (40)
Unknotting number, genus, and companion tori (1988) (39)
Stabilization of Heegaard splittings (2008) (38)
Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures (2010) (35)
Finding Disjoint Seifert Surfaces (1988) (35)
Levelling an unknotting tunnel (1999) (31)
Unknotting Tunnels and Seifert Surfaces (2000) (27)
On Tunnel Number One Knots Which Are Not (1, N) (2006) (14)
On tunnel number one knots that are not (1,n) (2006) (14)
On the additivity of knot width (2004) (14)
Thinning Genus Two Heegaard Spines in S3 (2003) (14)
Property P for the band-connect sum of two knots (1987) (14)
Algorithmic recognition of 3-manifolds (1998) (12)
Surgery on a knot in (Surface x I) (2008) (11)
A polynomial invariant of graphs in 3-manifolds (1992) (11)
A new invariant of 4-manifolds (2018) (11)
Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds (2003) (11)
Knots with unknotting number one are determined by their complements (1989) (8)
Compressing handlebodies with holes (1989) (7)
Neon Bulbs and the Unknotting of ARCS in Manifolds (1997) (5)
A necessary and sufficient condition for a 3-manifold to have Heegaard genus one (1989) (4)
Fibered knots and Property 2R (2009) (4)
Cubic graphs induced by bridge trisections (2020) (4)
The number of surfaces of fixed genus in an alternating link complement (2015) (4)
Knots and k-width (2006) (3)
A note on Murasugi sums. (1994) (3)
Invariants of curves in RP 2 and R 2 (2006) (3)
Tangle decompositions of alternating link complements (2019) (3)
Thinning genus two Heegaard spines in the 3-sphere (2001) (2)
Thurston norm minimizing surfaces and skein trees for links in (1989) (2)
How to ace the rest of calculus : the streetwise guide (2001) (2)
How to Ace Calculus: The Streetwise Guide (1998) (2)
Book Review: The classification of knots and {\rm 3}-dimensional spaces (1994) (1)
Invariants of curves in RP2 and R2 (2009) (1)
Invariants of curves in RP2 and R2 (2009) (1)
Finding geodesics in a triangulated 2-sphere (2014) (1)
Management‐induced shifts in rhizosphere bacterial communities contribute to the control of pathogen causing citrus greening disease (2022) (1)
Dehn surgery on complicated fibered knots in the 3-sphere (2016) (1)
Alternating links have at most polynomially many Seifert surfaces of fixed genus (2018) (1)
Tori and Heegaard splittings (2016) (1)
Heegaard splittings, the curve complex and the pants complex (2006) (0)
Trisections and link surgeries (2019) (0)
The freeness Index of a graph (2022) (0)
Applying it to the splittings that correspond to knot tunnels (2019) (0)
Carl B. Allendoerfer Awards (2015) (0)
Knots & k-width (2008) (0)
2 A Fabricius-Bjerre formula for curves in R P 2 (2008) (0)
2 A Fabricius-Bjerre formula for curves in R P 2 (2008) (0)
Topology in and Around Dimension Three (2015) (0)

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