Lizhen Ji | Academic Influence

Lizhen Ji's AcademicInfluence.com Rankings

Lizhen Ji

Mathematics

#1267

World Rank

#2115

Historical Rank

#528

USA Rank

Measure Theory

#3488

World Rank

#4115

Historical Rank

#1011

USA Rank

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Mathematics

Lizhen Ji's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics Peking University

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Why Is Lizhen Ji Influential?

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According to Wikipedia, Lizhen Ji , is a Chinese-American mathematician. He is a professor of mathematics at the University of Michigan, Ann Arbor. Biography April 1964, Ji was born in Wenzhou, Zhejiang Province, China. Ji graduated BS from Hangzhou University in Hangzhou in 1984. From 1984 to 1985, Ji was a master student at the Department of Mathematics of Hangzhou University. Ji went to United States to continue his study in 1985, and in 1987 Ji obtained MS from the Department of Mathematics of the University of California, San Diego. In 1991, Ji obtained PhD from the Northeastern University .

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Lizhen Ji'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

Compactifications of Symmetric and Locally Symmetric Spaces (2005) (233)
Compactifications of Symmetric Spaces (1998) (172)
Heat Kernel and Green Function Estimates on Noncompact Symmetric Spaces (1999) (136)
Geometry, Analysis and Topology of Discrete Groups (2008) (63)
Transformation groups and moduli spaces of curves (2011) (61)
Geometry of compactifications of locally symmetric spaces (2002) (59)
Geometry of Riemann surfaces and their moduli spaces (2009) (51)
The legacy of Bernhard Riemann after one hundred and fifty years (2016) (51)
Cohomology of arithmetic groups (2009) (48)
Compactifications of Locally Symmetric Spaces (2006) (46)
Dynamics of the heat semigroup on symmetric spaces (2008) (45)
Handbook of Geometric Analysis (2010) (42)
Ricci flow on surfaces with cusps (2007) (42)
Spectral degeneration of hyperbolic Riemann surfaces (1993) (35)
On the Künneth formula for intersection cohomology (1992) (34)
Asymptotic dimension and the integral K-theoretic Novikov conjecture for arithmetic groups (2004) (29)
Motives and algebraic cycles: a selection of conjectures and open questions (2017) (26)
Buildings and their Applications in Geometry and Topology (2006) (26)
Spectral inequalities for partial differential equations and their applications (2012) (24)
A cofinite universal space for proper actions for mapping class groups (2008) (21)
Metric compactifications of locally symmetric spaces (1998) (19)
Integral Novikov conjectures and Arithmetic groups containing torsion elements (2007) (18)
Historical development of Teichmüller theory (2013) (18)
Scattering matrices and scattering geodesics of locally symmetric spaces (2001) (17)
The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces (1993) (17)
Fifth International Congress of Chinese Mathematicians (2012) (16)
Four proofs for the Cheeger inequality and graph partition algorithms (2010) (15)
Satake and Martin compactifications of symmetric spaces are topological balls (1997) (14)
Geometry and analysis (2011) (14)
Open problems and surveys of contemporary mathematics (2013) (14)
On the early history of moduli and Teichm{ü}ller spaces (2016) (14)
The trace class conjecture for arithmetic groups (1998) (13)
Vector bundles and -adic Galois representations (2012) (13)
The Satake-Furstenberg Compactifications (1998) (13)
Well-rounded equivariant deformation retracts of Teichm\"uller spaces (2013) (13)
Asymptotic Chow polystability in Kähler geometry (2012) (13)
The Remainder Estimate in Spectral Accumulation for Degenerating Hyperbolic Surfaces (1993) (12)
Lie groups and linear algebraic groups I. Complex and real groups (2006) (12)
Polyhedral horofunction compactification as polyhedral ball (2016) (12)
From Riemann to Differential Geometry and Relativity (2017) (12)
Automorphic forms and the Langlands program (2010) (12)
The integral Novikov conjectures for linear groups containing torsion elements (2008) (12)
Compactification of Symmetric Spaces (1996) (11)
A tale of two groups: arithmetic groups and mapping class groups (2011) (11)
Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups (2007) (11)
The flabby class group of a finite cyclic group (2010) (11)
Geometry of tamed almost complex structures on 4-dimensional manifolds (2012) (11)
Ends of locally symmetric spaces with maximal bottom spectrum (2009) (11)
Spectral convergence on degenerating surfaces (1992) (10)
The enigmatic Tate-Shafarevich group (2012) (10)
Toric varieties vs. horofunction compactifications of polyhedral norms (2017) (10)
Riesz transform on locally symmetric spaces and Riemannian manifolds with a spectral gap (2010) (10)
The integral Novikov conjectures for S-arithmetic groups i (2007) (9)
Algebraic dynamics, canonical heights and Arakelov geometry (2012) (9)
Selected expository works of Shing-Tung Yau with commentary (2014) (9)
Lectures on locally symmetric spaces and arithmetic groups (2004) (9)
A Summary of the Work of Gregory Margulis (2008) (9)
From symmetric spaces to buildings, curve complexes and outer spaces (2009) (8)
The weyl upper bound on the discrete spectrum of locally symmetric spaces (1999) (8)
Arithmetic groups and their generalizations : what, why, and how (2008) (7)
Introduction to modern mathematics (2015) (7)
Introduction to the cohomology of arithmetic groups (2006) (7)
Gross-Zagier formula and arithmetic fundamental lemma (2012) (7)
Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics (2015) (7)
The Greatest Common Quotient of Borel-Serre and the Toroidal Compactifications of Locally Symmetric Spaces (1998) (7)
Handbook of group actions (2015) (6)
On Grothendieck's construction of Teichmüller space (2016) (6)
Cohomology of groups and algebraic K-theory (2010) (6)
Structured doubling algorithms for solving g-palindromic quadratic eigenvalue problems (2012) (6)
Well-posedness and control of the Korteweg-de Vries equation on a bounded domain (2012) (6)
Lattès Maps and Combinatorial Expansion (2011) (6)
Recent developments in differentiable sphere theorems (2012) (6)
Arithmetic Groups and Their Generalizations (2008) (6)
Universal moduli spaces of Riemann surfaces (2016) (5)
Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space (2012) (5)
Rigidity of locally symmetric spaces (2009) (5)
$L^p$ spectral theory and heat dynamics of locally symmetric spaces (2008) (5)
Handbook of group actions. Volume III (2018) (5)
The fundamental group of reductive Borel–Serre and Satake compactifications (2011) (5)
Metrics and compactifications of Teichmüller spaces of flat tori (2019) (5)
Degeneration of pseudo-Laplace operators for hyperbolic Riemann surfaces (1994) (4)
Introduction to Symmetric Spaces and Their Compactifications (2005) (4)
Actions of the absolute Galois group (2016) (4)
Complete invariant geodesic metrics on outer spaces and Jacobian varieties of tropical curves (2012) (4)
Ohsawa-Takegoshi ² extension theorem: Revisited (2012) (4)
Uniformization of conformally finite Riemann surfaces by the Ricci flow (2007) (4)
Some developments in spectral methods (2012) (4)
On dimension data, local vs global conjugacy (2012) (4)
Recent development of computational conformal geometry (2012) (4)
Representations of metaplectic groups (2012) (4)
The $L^{p}$ spectrum and heat dynamics of locally symmetric spaces of higher rank (2010) (3)
Tailored finite point method for numerical simulation of partial differential equations (2012) (3)
Pointwise bounds for $L^2$ eigenfunctions on locally symmetric spaces (2010) (3)
Integrality properties of mirror maps (2012) (3)
Lie Groups and Automorphic Forms (2006) (3)
Arithmetic groups, mapping class groups, related groups, and their associated spaces (2010) (3)
Large scale geometry , compactifications and the integral Novikov conjectures for arithmetic groups (2006) (3)
Curve complexes versus Tits buildings: structures and applications (2012) (3)
Toric Sasaki-Einstein geometry (2010) (3)
Hodge theory and L[2]-analysis (2017) (3)
The Asymptotic Schottky Problem (2008) (3)
Mostow strong rigidity of locally symmetric spaces revisited (2020) (3)
On Grothendieck's tame topology (2016) (3)
THE GREATEST COMMON QUOTIENT OF BOREL – SERRE AND THE TOROIDAL COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES (1999) (3)
Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces” (2002) (3)
A new modular characterization of the hyperbolic plane (2017) (3)
Ricci curvature and functional inequalities on graphs (2012) (3)
The Story of Reimann’s Moduli Space (2015) (3)
Pointwise bounds for L2 eigenfunctions on locally symmetric spaces (2008) (3)
Time-stepping methods for linear complementarity systems (2012) (3)
Loop symmetric functions and factorizing matrix polynomials (2012) (3)
Finite generation properties of cohomology rings for infinite groups (2012) (2)
Simplicial volume of moduli spaces of Riemann surfaces (2012) (2)
Handbook of group actions, Vol. V (2020) (2)
The integral K-theoretic Novikov conjecture for geometrically finite groups (2005) (2)
Number-theoretic techniques in the theory of Lie groups and differential geometry (2010) (2)
Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences (2011) (2)
Gradient and oscillation estimates and their applications in geometric PDE (2012) (2)
Fast and near-optimal matrix completion via randomized basis pursuit (2012) (2)
Dissimilarity data in statistical model building and machine learning (2012) (2)
Banded matrices with banded inverses and (2012) (2)
Sophus Lie, a giant in mathematics (2015) (2)
Correction to “Spectral convergence on degenerating surfaces” (1997) (2)
The Ricci flow and geometrization of three-manifolds (2010) (2)
Convergence of heat kernels for degenerating hyperbolic surfaces (1995) (2)
Notes on orbifold Gromov-Witten theory (2012) (2)
The Mertens Conjecture (2016) (2)
Zeta functions in combinatorics and number theory (2010) (2)
The arithmetic of noncongruence modular forms (2012) (2)
Lie groups and automorphic forms : proceedings of the 2003 summer program Zhejiang University Center of Mathematical Sciences Hangzhou, China (2006) (2)
Geometrization program of semilinear elliptic equations (2012) (2)
Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves (2017) (1)
Non-cofinite discrete groups, geometrically finite groups (2009) (1)
Number theory, ancient and modern (2010) (1)
Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds (1996) (1)
Poincaré’s stated motivations for topology (2020) (1)
New invariants for complex manifolds, singularities, and CR manifolds with applications (2012) (1)
Mathematical questions of quantum dilute gases (2012) (1)
Felix Klein: his life and mathematics (2015) (1)
A brief survey on high order accurate maximum principle satisfying and positivity preserving discontinuous Galerkin and finite volume schemes for conservation laws (2012) (1)
On canonical and explicit classification of algebraic threefolds (2012) (1)
On L-cohomology and the geometry of metrics on moduli spaces of curves (2010) (1)
Why is there No Nobel Prize in Mathematics (2013) (1)
The trace class conjecture and the Weyl upper bound on the discrete spectrum of arithmetic groups (1997) (1)
New Realizations of the Maximal Satake Compactifications of Riemannian Symmetric Spaces of Noncompact Type (2004) (1)
Vertex operator representations for a class of ᵥ-graded Lie algebras (2012) (1)
Local-global principles (2010) (1)
A survey on recent development in computational quasi-conformal geometry and its applications (2012) (1)
Armand Borel as a Mentor (2004) (1)
On some topics in automorphic representations (2010) (1)
The congruence subgroup problem and the fundamental group of the reductive Borel-Serre compactification (2011) (1)
Historical development of Teichmüller theory (2012) (0)
Subalgebras and Parabolic Subgroups (1998) (0)
Mapping class groups and outer automorphism groups of free groups (2009) (0)
Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups (2009) (0)
Geometry of nilpotent orbits: Results and conjectures (2012) (0)
The Furstenberg Boundary and Bounded Harmonic Functions (1998) (0)
Integral Representation of Positive Eigenfunctions of Convolution Operators (1998) (0)
The adaptive PML method for acoustic wave scattering problems (2010) (0)
On the center of mass in general relativity (2012) (0)
Random Walks and Ground State Properties (1998) (0)
Remembering Steve Zucker (2021) (0)
Integrable connections and Galois representations (2012) (0)
Notes on MVW-extensions (2012) (0)
Compactification via the Ground State (1998) (0)
Locally homogeneous manifolds and period domains (2009) (0)
Metric Compactiications of Locally Symmetric Spaces (1998) (0)
The Karpelevič Compactification (1998) (0)
Preface from the Guest Editors (2012) (0)
Bernhard Riemann and His Work (2017) (0)
Large scale geometry of discrete groups (2009) (0)
Encounters with Masters (2013) (0)
Dynamics of shock fronts for some hyperbolic systems (2012) (0)
Geometrical Constructions of Compactifications (1998) (0)
SYZ transformations for toric varieties (2012) (0)
Handbook of group actions. Volume II (2015) (0)
Mathematics in Paradise (2013) (0)
Soliton hierarchies constructed from involutions (2010) (0)
Weakly Compactness and First Countability of Locally Finite Hyperspaces (2014) (0)
Some New Directions in Teichmüller Theory (2021) (0)
Calabi-Yau Manifolds at the Interface of Math and Physics (2014) (0)
1 5 Fe b 20 08 Ricci flow on surfaces with cusps (2008) (0)
Sophus Lie and Felix Klein: The Erlangen program and its impact in mathematics and in physics (ed. Lizhen Ji and Athanase Papadopoulos) (2015) (0)
Papers on pure mathematics (2012) (0)
Canonical pseudonorms on pluricanonical spaces (2012) (0)
An Intrinsic Approach To The Boundaries of X (1998) (0)
Youth, Mathematics, and a Poem Made Famous by a Famous General (2017) (0)
Cohomology algebras in symplectic, Kähler and algebraic geometry (2010) (0)
Finiteness properties of arithmetic and -arithmetic groups (2009) (0)
Mathematical aspects of string duality (2012) (0)
Variational problems of Monge-Ampère type (2012) (0)
Poincaré’s works leading to the Poincaré conjecture (2021) (0)
Examples of basic arithmetic groups (2009) (0)
Geometric modular forms and the cohomology of torsion automorphic sheaves (2012) (0)
The Martin Compactification X ∪ ∂ X(λ) (1998) (0)
Fifth International Congress of Chinese Mathematicians, Part 2 (2012) (0)
-groups of rings of integers and -groups of group rings (2009) (0)
Automorphic forms and automorphic representations for general arithmetic groups (2009) (0)
The tame kernels of number fields (2012) (0)
Partition functions and box–spline (2010) (0)
Some results on variational and topological methods (2012) (0)
A one parameter family of expanding wave solutions of the Einstein equations that induces an anomalous acceleration into the standard model of cosmology (2012) (0)
General comments on references (2009) (0)
Proceedings of the 4th International Congress of Chinese Mathematicians : Hangzhou 2007, December 17-22 (2008) (0)
Cohomologies and elliptic operators on symplectic manifolds (2012) (0)
Sophus Lie: A Real Giant in Mathematics (2015) (0)
Statistical analysis in genetic association studies of mental illnesses (2012) (0)
Torelli for some moduli spaces (2010) (0)
Papers on applied mathematics (2012) (0)
Primes are No Longer Lonely: A Tale of Twin Primes and the Devoted Chinese Mathematician Yitang Zhang (2013) (0)
Global fields and -arithmetic groups over function fields (2009) (0)
July 21 Friday (2006) (0)
Different completions of ℚ and -arithmetic groups over number fields (2009) (0)
Ricci flow on 4-manifolds and Seiberg-Witten equations (2012) (0)
Harnack Inequality, Martin’s Method and The Positive Spectrum for Random Walks (1998) (0)
Outer automorphism groups of free groups and tropical geometry (2013) (0)
Compactifications and reduction theory of geometrically finite locally symmetric spaces (2016) (0)
A new home for the world mathematics: The grand opening of Tsinghua Sanya International Mathematics Forum (2014) (0)
Some progress on computational geometry (2012) (0)
From the Borel–Serre compactification to curve complex of surfaces (2018) (0)
Wellposedness of the two and three dimensional full water wave problem (2012) (0)
Preface to Bogomolov special issue (2008) (0)
Chinese mathematics and the ICCM (2016) (0)
A survey on retrograde and prograde orbits of the three-body problem by variational methods (2012) (0)
Impressions of Shing-Tung Yau and His Mathematical World (2019) (0)
Eta invariants for even dimensional manifolds (2012) (0)
Chinese Mathematics and ICCM (2016) (0)
Regularity of Einstein spacetimes (2012) (0)
Outer automorphism group of free groups and the outer spaces (2009) (0)
General arithmetic subgroups and locally symmetric spaces (2009) (0)
Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients (2009) (0)
Poincaré’s stated motivations for topology (2020) (0)
Extension to Semisimple Algebraic Groups Defined Over a Local Field (1998) (0)
Metric distortion in the geometric Schottky problem (2019) (0)
Compressible Navier-Stokes equations with large density oscillation (2012) (0)
Why is Harvard Harvard (2014) (0)
Calculus of operator functions (2010) (0)
An affine sphere equation associated to Einstein toric surfaces (2010) (0)
N ov 2 00 8 A cofinite universal space for proper actions for mapping class groups ∗ (2008) (0)

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