Melanie Wood | Academic Influence

Melanie Wood's AcademicInfluence.com Rankings

Melanie Wood

Mathematics

#533

World Rank

#1031

Historical Rank

#240

USA Rank

Measure Theory

#4323

World Rank

#5089

Historical Rank

#1205

USA Rank

mathematics Degrees

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Mathematics

Melanie Wood's Degrees

PhD Mathematics Princeton University

Why Is Melanie Wood Influential?

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According to Wikipedia, Melanie Matchett Wood is an American mathematician at Harvard University who was the first woman to qualify for the U.S. International Mathematical Olympiad Team. She completed her PhD in 2009 at Princeton University and is currently Professor of Mathematics at Harvard University, after being Chancellor's Professor of Mathematics at UC Berkeley and Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin, and spending 2 years as Szegö Assistant Professor at Stanford University.

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Melanie Wood'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

The distribution of sandpile groups of random graphs (2014) (86)
A heuristic for boundedness of ranks of elliptic curves (2016) (60)
Discriminants in the Grothendieck Ring (2012) (59)
On the probabilities of local behaviors in abelian field extensions (2008) (57)
Random integral matrices and the Cohen-Lenstra heuristics (2015) (55)
On a Cohen–Lenstra heuristic for Jacobians of random graphs (2014) (49)
On ℓ-torsion in class groups of number fields (2016) (45)
Parametrization of ideal classes in rings associated to binary forms (2010) (41)
An effective Chebotarev density theorem for families of number fields, with an application to $$\ell $$-torsion in class groups (2017) (40)
THE DENSITY OF DISCRIMINANTS OF S3-SEXTIC NUMBER FIELDS (2007) (35)
Rings and ideals parameterized by binary n‐ic forms (2010) (34)
Moduli Spaces for Rings and Ideals (2009) (33)
Gauss composition over an arbitrary base (2010) (31)
Nonabelian Cohen–Lenstra moments (2017) (28)
P-orderings: a metric viewpoint and the non-existence of simultaneous orderings (2003) (27)
Belyi-Extending Maps and the Galois Action on Dessins d'Enfants (2003) (26)
Random integral matrices: universality of surjectivity and the cokernel (2018) (25)
Non-abelian Cohen–Lenstra heuristics over function fields (2016) (23)
Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions (2013) (22)
Asymptotics for Number Fields and Class Groups (2016) (21)
Quartic Rings Associated to Binary Quartic Forms (2010) (20)
Parametrizing quartic algebras over an arbitrary base (2010) (19)
Moments and interpretations of the Cohen–Lenstra–Martinet heuristics (2019) (19)
Cohen-Lenstra heuristics and local conditions (2017) (19)
On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments. (2019) (17)
A predicted distribution for Galois groups of maximal unramified extensions (2019) (17)
Coincidences between homological densities, predicted by arithmetic (2019) (16)
The distribution of points on superelliptic curves over finite fields (2012) (16)
Semiample Bertini theorems over finite fields (2012) (15)
Mapping incidences (2007) (15)
The Distribution of the Number of Points on Trigonal Curves over q (2011) (15)
Mass formulas for local Galois representations to wreath products and cross products (2008) (15)
Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities (2015) (13)
The Distribution of q-Points on Cyclic ℓ-Covers of Genus g (2015) (13)
Cokernels of adjacency matrices of random $r$-regular graphs (2018) (12)
A heuristic for the distribution of point counts for random curves over a finite field (2014) (12)
Irreducibility of Random Polynomials (2017) (11)
The free group on n generators modulo n + u random relations as n goes to infinity (2017) (10)
HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES (2017) (10)
Coincidences of homological densities, predicted by arithmetic (2016) (8)
The moment problem for random objects in a category (2022) (7)
Representations of integers by systems of three quadratic forms (2015) (6)
An algebraic lifting invariant of Ellenberg, Venkatesh, and Westerland (2021) (6)
How to determine the splitting type of a prime (2011) (5)
Probability theory for random groups arising in number theory (2023) (5)
The average size of $3$-torsion in class groups of $2$-extensions (2021) (3)
Low degree Hurwitz stacks in the Grothendieck ring (2022) (3)
Finite quotients of 3-manifold groups (2022) (3)
Nonsingularity of adjacency matrices of random $r$-regular graphs (2018) (2)
Conjectures for distributions of class groups of extensions of number fields containing roots of unity (2023) (2)
Errata to “Discriminants in the Grothendieck ring” (2020) (2)
Gauss composition for P1, and the universal Jacobian of the Hurwitz space of double covers (2011) (1)
USA and International Mathematical Olympiads 2005 (2006) (1)
Belyi-extending maps and the Galois action on the algebraic fundamental group of P^1\{0,1,infinity} (2003) (1)
On a Cohen–Lenstra heuristic for Jacobians of random graphs (2015) (0)
Corrigendum: On the probabilities of local behaviors in abelian field extensions (2020) (0)
Women's History Month (2013) (0)
Algebra & Number Theory (2011) (0)
ARIZONA WINTER SCHOOL 2014 COURSE NOTES: ASYMPTOTICS FOR NUMBER FIELDS AND CLASS GROUPS (2014) (0)
About the Cover (2017) (0)
A T ] 2 0 O ct 2 01 7 Coincidences between homological densities , predicted by arithmetic (2017) (0)
Counting polynomials over finite fields with given root multiplicities (2012) (0)
Raynaud on F-vector schemes and prolongation (2010) (0)
The distribution of $\mathbb{F}_q$-points on cyclic $\ell$-covers of genus $g$ (2015) (0)
BELYI-EXTENDING MAPS AND THE GALOIS ACTION ON ̂π1(P 1 C \ {0, 1, ∞}) (2003) (0)
Local and global universality of random matrix cokernels (2022) (0)
Cohen-Lenstra heuristics and local conditions (2018) (0)
THE ABSTRACTS OF THE TALKS 2022 ALGEBRA AND BEYOND A CONFERENCE IN HONOR OF THE MATHEMATICAL CONTRIBUTIONS OF MICHAEL J. LARSEN (2022) (0)

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