Mei-Chu Chang | Academic Influence

Mei-Chu Chang's AcademicInfluence.com Rankings

Mei-Chu Chang

Mathematics

#2667

World Rank

#4076

Historical Rank

Measure Theory

#3358

World Rank

#3966

Historical Rank

mathematics Degrees

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Mathematics

Mei-Chu Chang's Degrees

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

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Why Is Mei-Chu Chang Influential?

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According to Wikipedia, Mei-Chu Chang is a mathematician who works in algebraic geometry and combinatorial number theory. Education Chang did her undergraduate studies in Taiwan and received a BS from National Taiwan University. She did her doctoral work at University of California, Berkeley, under the supervision of Robin Hartshorne and was awarded her PhD in 1982. Her dissertation was on Some Results on Stable Rank 2 Vector Bundles and Reflexive Sheaves on P3.

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Mei-Chu Chang'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

A polynomial bound in Freiman's theorem (2002) (213)
The Kodaira dimension of the moduli space of curves of genus {15} (1986) (72)
Wave-particle dynamics of wave breaking in the self-excited dust acoustic wave. (2009) (67)
Unirationality of the moduli spaces of curves of genus 11, 13 (and 12) (1984) (66)
On a question of Davenport and Lewis and new character sum bounds in finite fields (2008) (62)
Factorization in generalized arithmetic progressions and application to the Erdős-Szemerédi sum-product problems (2003) (60)
On the size of k-fold sum and product sets of integers (2003) (58)
The Erdős-Szemerédi problem on sum set and product set (2003) (52)
Points on curves in small boxes en applications (2011) (36)
A Gauss sum estimate in arbitrary finite fields (2006) (35)
PRODUCT THEOREMS IN SL2 AND SL3 (2006) (33)
Short character sums for composite moduli (2011) (32)
Exponential sum estimates over subgroups and almost subgroups of $$ \mathbb{Z}_{Q}^{*} $$, where Q is composite with few prime factors (2006) (32)
On problems of Erdös and Rudin (2004) (30)
A filtered Bertini-type theorem. (1989) (29)
Additive and Multiplicative Structure in Matrix Spaces (2007) (28)
Stable rank 2 reflexive sheaves on ³ with small ₂ and applications (1984) (28)
Characterization of arithmetically Buchsbaum subschemes of codimension 2 in $\mathbb{P}^n$ (1990) (27)
Sum and product of different sets (2006) (27)
EXPONENTIAL SUM ESTIMATES OVER SUBGROUPS AND ALMOST SUBGROUPS OF Zq, WHERE q IS COMPOSITE WITH FEW PRIME FACTORS (2006) (26)
Character Sums in Finite Fields (2010) (25)
ON THE SLOPE_AND KODAIRA DIMENSION OF M g FOR SMALL g (2008) (25)
A sum-product estimate in algebraic division algebras (2005) (23)
Observation of multifractal intermittent dust-acoustic-wave turbulence. (2012) (22)
Classification of Buchsbaum subvarieties of codimension 2 in projective space. (1989) (21)
Short character sums with Fermat quotients (2012) (21)
SOME PROBLEMS IN COMBINATORIAL NUMBER THEORY (2007) (19)
Sum-product theorems and incidence geometry (2007) (18)
ELEMENTS OF LARGE ORDER IN PRIME FINITE FIELDS (2013) (17)
Stable rank 2 bundles on IP3 withc1=0,c2=4, and α=1 (1983) (17)
Micro-origin of no-trough trapping in self-excited nonlinear dust acoustic waves. (2012) (17)
On the slope and Kodaira dimension of $\overline{M}g$ for small $g$ (1991) (16)
Emergence of dynamical complexity related to human heart rate variability. (2014) (15)
Nonlinear Roth type theorems in finite fields (2016) (15)
An Estimate of Incomplete Mixed Character Sums (2010) (15)
Elements of large order on varieties over prime finite fields (2014) (14)
Sparsity of the intersection of polynomial images of an interval (2014) (14)
Observation of 3D defect mediated dust acoustic wave turbulence with fluctuating defects and amplitude hole filaments (2013) (14)
THE NUMBER OF COMPONENTS OF HILBERT SCHEMES (1996) (13)
A bound on the order of jumping lines (1983) (13)
Divisors on some generic hypersurfaces (1993) (13)
Stable rank 2 reflexive sheaves on with large c3 (1983) (11)
Expansions of quadratic maps in prime fields (2013) (11)
Burgess Inequality In $${\mathbb {F}_{p^2}}$$ (2009) (10)
On a multilinear character sum of Burgess (2010) (10)
Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections (2017) (9)
Dimension of families of space curves (1994) (9)
Measuring information-based energy and temperature of literary texts (2017) (9)
BURGESS INEQUALITY IN Fp 2 (2009) (9)
Some consequences of the Polynomial Freiman–Ruzsa Conjecture (2009) (9)
Nonlinear Roth type theorems in finite fields (2017) (9)
Projectile channeling in chain bundle dusty plasma liquids: Wave excitation and projectile-wave interaction (2011) (9)
Sum-product theorem and exponential sum estimates in residue classes with modulus involving few prime factors (2004) (9)
BURGESS INEQUALITY IN Fp2 (2009) (8)
CHARACTERIZATION OF ARITHMETICALLY BUCHSBAUM SUBSCHEMES OF CODIMENSION 2 IN p n (2008) (8)
Double character sums over subgroups and intervals (2014) (8)
On the hyperplane sections of certain codimension 2 subvarieties in ℙn (1992) (8)
Solitary wake field microdynamics of the pulsed laser induced microbubbles in three-dimensional dusty plasma liquids (2009) (7)
ORDER OF GAUSS PERIODS IN LARGE CHARACTERISTIC (2013) (7)
On sums and products of distinct numbers (2004) (7)
A linear bound on the Euler number of threefolds of Calabi–Yau and of general type (2001) (7)
Polynomial iteration in characteristic p (2012) (7)
On a paper of Erdös and Szekeres (2015) (7)
Partial quotients and equidistribution (2011) (7)
Buchsbaum subvarieties of codimension 2 in $\mathbf{P}^ n$ (1988) (6)
Robustness and Variability of Pathways in the Spontaneous Synchronous Bursting of Clusterized Cortical Neuronal Networks In vitro(Cross-disciplinary physics and related areas of science and technology) (2008) (6)
Closed families of smooth space curves (1985) (6)
On a problem of Arnold on uniform distribution (2007) (6)
Nonlinear Wave-particle Interaction and Particle Trapping in Large Amplitude Dust Acoustic Waves (2011) (6)
Sum-product theorems in algebraic number fields (2009) (6)
Orbits of polynomial dynamical systems modulo primes (2017) (6)
On periods modulo p in arithmetic dynamics (2015) (5)
Inequidimensionality of Hilbert schemes (1997) (5)
On multiple sum and product sets of finite sets of integers (2003) (5)
A sum–product theorem in semi-simple commutative Banach algebras (2004) (5)
Some problems related to sum-product theorems (2007) (5)
Postulation of canonical curves in ℙ3 (1986) (5)
On sum-product representations in Z q (2006) (4)
The Euler number of certain primitive Calabi–Yau threefolds (2000) (4)
Some combinatorics of binomial coefficients and the Bloch-Gieseker property for some homogeneous bundles (2001) (4)
On character sums of binary quadratic forms (2009) (4)
Concentration of points and isomorphism classes of hyperelliptic curves over a finite field in some thin families (2011) (4)
New results on the ErdsSzemerdi sum-product problems (2003) (4)
On the minimum norm of representatives of residue classes in number fields (2007) (3)
On a matrix product question in cryptography (2013) (3)
PRODUCT SETS OF ARITHMETIC PROGRESSIONS (2002) (3)
On the Chern Numbers of Surfaces and 3-Folds of Codimension 2 (1996) (3)
Distributions of Chern Numbers of Complete Intersection Three Folds (1997) (2)
Arithmetic progressions in multiplicative groups of finite fields (2016) (2)
On sum-product representations in $\Bbb Z_q$ (2006) (2)
Dynamical behaviors of nonlinear dust acoustic waves: From plane waves to dust acoustic wave turbulence (2014) (2)
Spontaneous excitations of low amplitude hole filaments, acoustic vortices, and rogue wave events in weakly disordered dust acoustic waves (2017) (2)
An Explicit Bound On Double Exponential Sums Related to Diffie--Hellman Distributions (2008) (2)
On a paper of Erd\"os and Szekeres (2015) (2)
Convolution of discrete measures on linear groups (2007) (2)
Lagrangian-Eulerian dynamics of breaking shallow water waves through tracer tracking of fluid elements. (2013) (2)
On the exponential large sieve inequality for sparse sequences modulo primes (2017) (1)
On the density of integer points on generalised Markoff–Hurwitz and Dwork hypersurfaces (2014) (1)
WITHDRAWN: Convolution of discrete measures on linear groups (2007) (1)
Some remarks on Buchsbaum bundles (2000) (1)
ON PRODUCT SETS IN FIELDS OF PRIME ORDER AND AN APPLICATION OF BURGESS ’ INEQUALITY (2007) (1)
Spontaneous Slow Modulation of Synchronous Calcium Fluorescent Spikes in Rat Cortical Neuronal Networks (2008) (1)
ON A QUESTION OF DAVENPORT AND LEWIS ON CHARACTER SUMS AND PRIMITIVE ROOTS IN FINITE FIELDS (2007) (1)
Bounds on c3$ for threefolds (1998) (1)
A Remark on Sieving in Biased Coin Convolutions (2015) (0)
Arithmetic progressions in multiplicative groups of finite fields (2017) (0)
Multiplicative energy of polynomial images of intervals modulo $q$ (2018) (0)
ON A QUESTION OF DAVENPORT AND LEWIS ON CHARACTER SUMS IN FINITE FIELDS (2007) (0)
Explicit sum-product theorems for large subsets of $$ \mathbb{F} $$p (2009) (0)
On sum-product representations in $\mathbb {Z}_q$ (2006) (0)
On the density of ratios of Chern numbers of embedded threefolds (1996) (0)
The slopes of surfaces in ℙ 4 and rational expressions in Newton functions (1994) (0)
ON THE DENSITY OF INTEGER POINTS ON GENERALISED MARKOFF-HURWITZ HYPERSURFACES (2014) (0)
of embedded threefolds (1996) (0)
Short character sums for composite moduli (2014) (0)
Character sums and arithmetic combinatorics (2016) (0)
ORBITS LENGTHS OF MODULAR REDUCTIONS OF PAIRS OF POLYNOMIAL DYNAMICAL SYSTEMS (2016) (0)
Nonlinear Roth type theorems in finite fields (2017) (0)
Some good unirational families of space curves (1988) (0)
An Estimate of Incomplete Mixed Character Sums 1 2 (2010) (0)
On the density of integer points on generalised Markoff–Hurwitz and Dwork hypersurfaces (2015) (0)
On a paper of Erdös and Szekeres (2018) (0)
The Erd\H{o}s-Szemer\'edi problem on sum set and product set (2004) (0)
Self-excited dust acoustic wave turbulence in dusty plasmas (2012) (0)
Sum-Product and Character Sums in finite fields (2009) (0)
Withdrawal Notice to: Convolution of discrete measures on linear groups [YJFAN 253 (1) (1 December 2007) 303–323] (2020) (0)
Channeling and Surfing of Projectiles in Chain-bundle Dusty Plasma Liquids (2011) (0)

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