Dan Abramovich | Academic Influence

Dan Abramovich's AcademicInfluence.com Rankings

Dan Abramovich

Mathematics

#1700

World Rank

#2727

Historical Rank

Algebraic Geometry

#76

World Rank

#81

Historical Rank

Measure Theory

#3476

World Rank

#4101

Historical Rank

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Mathematics

Dan Abramovich's Degrees

Bachelors Mathematics Tel Aviv University

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Why Is Dan Abramovich Influential?

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According to Wikipedia, Dan Abramovich is an Israeli-American mathematician working in the fields of algebraic geometry and arithmetic geometry. As of 2019, he holds the title of L. Herbert Ballou University Professor at Brown University, and he is an Elected Fellow of the American Mathematical Society.

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Dan Abramovich'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

HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY (2006) (498)
Gromov-Witten theory of Deligne-Mumford stacks (2006) (463)
Compactifying the space of stable maps (1999) (434)
Torification and factorization of birational maps (1999) (407)
Twisted Bundles and Admissible Covers (2001) (351)
Tame stacks in positive characteristic (2007) (243)
Lectures on Arakelov Geometry (1992) (214)
The tropicalization of the moduli space of curves (2012) (193)
Algebraic orbifold quantum products (2001) (165)
Stable logarithmic maps to Deligne-Faltings pairs II (2014) (157)
Equivariant resolution of singularities in characteristic 0 (1996) (108)
Twisted stable maps to tame Artin stacks (2008) (100)
Moduli of twisted spin curves (2001) (94)
On the geometry of Deligne-Mumford stacks (2009) (93)
Smoothness, Semistability, and Toroidal Geometry (1996) (91)
Weak semistable reduction in characteristic 0 (1997) (90)
A linear lower bound on the gonality of modular curves (1996) (82)
Sheaves of t-structures and valuative criteria for stable complexes (2003) (79)
Abelian varieties and curves in $W_d (C)$ (1991) (71)
Flips and abundance for algebraic threefolds : a summer seminar at the University of Utah (Salt Lake City, 1991) (1992) (69)
Comparison theorems for Gromov–Witten invariants of smooth pairs and of degenerations (2012) (68)
Logarithmic Geometry and Moduli (2010) (66)
Orbifold techniques in degeneration formulas (2011) (64)
Birational invariance in logarithmic Gromov–Witten theory (2013) (60)
Decomposition of degenerate Gromov–Witten invariants (2017) (51)
Boundedness of the space of stable logarithmic maps (2014) (49)
Toward a proof of the Mordell-Lang conjecture in characteristic p (1992) (47)
Stable varieties with a twist (2009) (44)
Subvarieties Of Semiabelian Varieties (1994) (42)
Skeletons and Fans of Logarithmic Structures (2015) (42)
Expanded Degenerations and Pairs (2011) (39)
Alterations and Resolution of Singularities (1998) (37)
Relative and orbifold Gromov-Witten invariants (2010) (36)
Lectures on Gromov–Witten Invariants of Orbifolds (2005) (36)
Uniformity of stably integral points on elliptic curves (1995) (35)
Stable maps and Hurwitz schemes in mixed characteristic (1998) (34)
Lang's Conjectures, Fibered Powers, and Uniformity (1996) (33)
Invariance in logarithmic Gromov-Witten theory (2013) (29)
Complete Moduli for Fibered Surfaces (1998) (29)
Weak toroidalization over non-closed fields (2010) (27)
Birational geometry for number theorists (2007) (27)
Punctured logarithmic maps (2020) (27)
The Evaluation Space of Logarithmic Stable Maps (2010) (25)
A high fibered power of a family of varieties of general type dominates a variety of general type (1996) (24)
Functorial factorization of birational maps for qe schemes in characteristic 0 (2014) (23)
Orbifold thechniques in degeneration formulas (2016) (22)
Enumerative Invariants in Algebraic Geometry and String Theory (2008) (21)
On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack (2005) (19)
Functorial embedded resolution via weighted blowings up. (2019) (19)
Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture (2016) (15)
Complete moduli for families over semistable curves (1998) (15)
Principalization of ideals on toroidal orbifolds (2017) (12)
Level structures on abelian varieties and Vojta’s conjecture (2016) (12)
Subvarieties of abelian varieties and of jacobians of curves (1991) (11)
Relative desingularization and principalization of ideals (2020) (10)
Uniformity of stably integral points on principally polarized abelian varieties of dimension ≤2 (2001) (10)
Toroidal orbifolds, destackification, and Kummer blowings up (2017) (9)
Torification of diagonalizable group actions on toroidal schemes (2014) (9)
Formal finiteness and the torsion conjecture on elliptic curves (1995) (8)
Flops, flips and perverse point sheaves on threefold stacks (2003) (7)
Campana points, Vojta's conjecture, and level structures on semistable abelian varieties (2016) (7)
Moduli of algebraic and tropical curves (2013) (6)
LOGARITHMIC STABLE MAPS TO DELIGNE – FALTINGS PAIRS II (2010) (6)
Moduli of Galois $p$-covers in mixed characteristics (2010) (6)
Luna's fundamental lemma for diagonalizable groups (2015) (6)
Logarithmic resolution via multi-weighted blow-ups (2021) (4)
Extending Triangulations and Semistable Reduction (1998) (4)
Raynaud’s group-scheme and reduction of coverings (2003) (4)
RESOLUTION OF SINGULARITIES OF COMPLEX ALGEBRAIC VARIETIES AND THEIR FAMILIES (2017) (3)
Configurations of points on degenerate varieties and properness of moduli spaces (2014) (3)
Canonical models and stable reduction for plurifibered varieties (2002) (3)
Moduli Spaces in Algebraic Geometry (2010) (2)
Algebraic Geometry, Part 2: Seattle 2005 (2009) (1)
Algebraic Geometry, Part 1: Seattle 2005 (2009) (1)
COMPUTATIONS WITH MODULI OF PERVERSE POINT SHEAVES (2003) (1)
Lectures on Arakelov Geometry: The Determinant of Laplace Operators (1992) (1)
Logarithmic Enumerative Geometry and Mirror Symmetry (2020) (1)
Lang maps and Harris’s conjecture (1997) (1)
Algebraic geometry : Seattle 2005 : 2005 Summer Research Institute, July 25-August 12, 2005, University of Washington, Seattle, Washington (2009) (1)
Lang's conjectures, Conjecture H, and uniformity (1995) (1)
WEAK SEMISTABLE REDUCTION IN CHARACTERISTIC 0 PRELIMINARY VERSION (1997) (1)
Weak toroidalization over non-closed fields (2013) (1)
Corrigendum to : « Tame stacks in positive characteristic » (2014) (0)
BIRATIONAL GEOMETRY FOR NUMBER THEORISTS: COMPANION NOTES (2006) (0)
Book Review: Resolution of singularities; Lectures on resolution of singularities (2011) (0)
1995 LANG MAPS AND HARRIS’S CONJECTURE PRELIMINARY VERSION (2008) (0)
A G ] 1 3 D ec 2 02 1 LOGARITHMIC RESOLUTION VIA MULTI-WEIGHTED BLOWUPS (2021) (0)
Lectures on Arakelov Geometry: The Determinant of the Cohomology (1992) (0)
Lectures on Arakelov Geometry: The Curvature of the Determinant Line Bundle (1992) (0)
S.D. CUTKOSKY: RESOLUTION OF SINGULARITIES J. KOLL AR: LECTURES ON RESOLUTION OF SINGULARITIES (2010) (0)
Lang maps and Harris's conjecture - a note in search for content (1995) (0)
Lectures on Arakelov Geometry: Green Currents (1992) (0)
Tropicalizing moduli space(s) (2014) (0)
Correction to “Twisted stable maps to tame Artin stacks” (2014) (0)
PRECONCEPTIONS AND MISCONCEPTIONS ON RELATIVE STABLE MAPS IN THE NORMAL CROSSINGS CASE (2006) (0)
Intrinsic description of skeleta (2015) (0)
Lectures on Arakelov Geometry: Intersection Theory on Regular Schemes (1992) (0)
Lectures on Arakelov Geometry: The Arithmetic Riemann–Roch–Grothendieck Theorem (1992) (0)
227-Abelian varieties and curves in Wd ( C ) (2018) (0)
1. PhD Advising before Tenure by Dan Abramovich (2020) (0)
Uniformity of rational points over all quadratic fields (1994) (0)
Desingularization of binomial varieties using toric Artin stacks (2022) (0)
LOGARITHMIC STRUCTURE FOR STABLE MAPS RELATIVE TO SIMPLE NORMAL CROSSING DIVISOR (2010) (0)
Lectures on Arakelov Geometry: References (1992) (0)
Complete Moduli for (2000) (0)
EQUIVARIANT RESOLUTION OF SINGURLARITIES IN CHARACTERISTIC 0 March 19 , 2022 ( preliminary Version ) (2022) (0)
Lectures on Arakelov Geometry: Introduction (1992) (0)
BIRATIONAL GEOMETRY FOR NUMBER THEORISTS: COMPANION NOTES (2006) (0)
Study group proposal: semistable reduction (2021) (0)
Uniformity of stably integral points on principally polarized abelian surfaces (1998) (0)
Complete Moduli for Fibered Surfaces Preliminary Version (2007) (0)
Lectures on Arakelov Geometry: Arithmetic Chow Groups (1992) (0)

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