Catherine Yan
#55,185
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Chinese-American mathematician
Catherine Yan's AcademicInfluence.com Rankings
Catherine Yanmathematics Degrees
Mathematics
#2905
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#4385
Historical Rank
Algebraic Geometry
#177
World Rank
#185
Historical Rank
Geometry
#151
World Rank
#223
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Number Theory
#366
World Rank
#457
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Mathematics
Catherine Yan's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Catherine Yan Influential?
(Suggest an Edit or Addition)According to Wikipedia, Catherine Huafei Yan is a professor of mathematics at Texas A&M University interested in algebraic combinatorics. Education and career Yan earned a bachelor's degree from Peking University in 1993. She was a student of Gian-Carlo Rota at the Massachusetts Institute of Technology, where she earned her Ph.D. in 1997 with a dissertation on The Theory of Commuting Boolean Algebras.
Catherine Yan's Published Works
Published Works
- Crossings and nestings of matchings and partitions (2005) (236)
- Apollonian circle packings:number theory (2000) (152)
- Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group (2000) (95)
- Combinatorics - The Rota Way (2009) (86)
- Quasifinite Representations of Classical Lie Subalgebras of W1 (1998) (78)
- Generalized Parking Functions, Tree Inversions, and Multicolored Graphs (2001) (65)
- Apollonian Circle Packings : Geometry and Group Theory (2005) (59)
- Goncarov polynomials and parking functions (2003) (57)
- Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings (2000) (51)
- Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions (2000) (45)
- On the Enumeration of Generalized Parking Functions (1999) (43)
- Random Geometric Graph Diameter in the Unit Ball (2005) (40)
- On random points in the unit disk (2006) (31)
- Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle (1998) (31)
- Linked partitions and linked cycles (2006) (28)
- Exact formulas for moments of sums of classical parking functions (2003) (24)
- Generalized Tree Inversions andk-Parking Functions (1997) (24)
- Expected Sums of General Parking Functions (2003) (17)
- Crossings and Nestings of Two Edges in Set Partitions (2007) (17)
- High-energy String Scattering Amplitudes and Signless Stirling Number Identity (2010) (15)
- Multiparking functions, graph searching, and the Tutte polynomial (2006) (15)
- Distributive laws for commuting equivalence relations (1998) (13)
- Parking distributions on trees (2017) (13)
- Major index for 01-fillings of moon polyominoes (2009) (11)
- Random Geometric Graph Diameter in the Unit Disk with lp Metric (2004) (11)
- The halflie problem (2003) (11)
- Ulam's pathological liar game with one half-lie (2004) (10)
- Commuting quasi-order relations (1998) (10)
- Bivariate Gončarov polynomials and integer sequences (2014) (10)
- Arguesian Identities in Linear Lattices (1999) (10)
- Generalized Goncarov polynomials (2015) (8)
- A major index for matchings and set partitions (2007) (8)
- Counting with Borel's triangle (2018) (8)
- The Rényi-Ulam pathological liar game with a fixed number of lies (2004) (8)
- Balancing Game with a Buffer (1998) (7)
- Branching Processes with Negative Offspring Distributions (2003) (6)
- Maximal increasing sequences in fillings of almost-moon polyominoes (2014) (6)
- Generating functions for moments of the quasi-nilpotent DT-operator (2002) (6)
- Parking Functions on Directed Graphs and Some Directed Trees (2019) (5)
- Graphical operations on projective spaces (1998) (5)
- Hirzebruch Xy genera of the Hilbert schemes of surfaces by localization formula (2002) (5)
- On the Enumeration of Non-Crossing Pairings of Well-Balanced Binary Strings (2013) (5)
- Two-boundary lattice paths and parking functions (2007) (5)
- On increasing and invariant parking sequences (2020) (5)
- On the discrepancy of strongly unimodular matrices (2000) (5)
- Arguesian Identities in the Congruence Variety of Abelian Groups (2000) (5)
- Prime parking functions on rooted trees (2018) (5)
- Geometric Identities in Lattice Theory (2000) (5)
- Chains of Length 2 in Fillings of Layer Polyominoes (2013) (4)
- Quasifinite representations of classical Lie subalgebras of W (1+infinity) (1998) (4)
- Multivariate delta Gončarov and Abel polynomials (2016) (4)
- Random Geometric Graph Diameter in the Unit Disk with p Metric Extended Abstract (2004) (4)
- The theory of commuting Boolean algebras (1997) (4)
- Lattice and Schröder paths with periodic boundaries (2007) (4)
- Bivariate affine Gončarov polynomials (2016) (4)
- Mixed Statistics on 01-Fillings of Moon Polyominoes (2009) (3)
- Six problems of Gian-Carlo Rota in lattice theory and universal algebra (2003) (3)
- Gončarov polynomials in partition lattices and exponential families (2019) (3)
- Moments of matching statistics (2017) (3)
- Positive and negative chains in charged moon polyominoes (2013) (3)
- The Theory of Commuting Boolean Sigma-Algebras☆ (1999) (2)
- DECOMPOSITION OF LEBESGUE SPACES (1998) (2)
- On the limit of a recurrence relation (1999) (2)
- Parking Functions on Oriented Trees (2018) (2)
- How to play the one-lie Rényi-Ulam game (2008) (1)
- THE THEORY OF COMMUTING SUBALGEBRAS OF COMPLETE HEYTING ALGEBRAS (1998) (1)
- On the Limiting Vacillating Tableaux for Integer Sequences (2022) (1)
- A Ball-Distribution Problem and the Branching Process (1999) (1)
- N T ] 1 7 O ct 2 00 3 Apollonian Circle Packings : Number Theory (2003) (1)
- Partially Ordered Sets and Lattices (2009) (1)
- Combinatorics: The Rota Way: Generating Functions and the Umbral Calculus (2009) (0)
- at h . C O ] 1 9 A pr 2 00 5 Crossings and Nestings of Matchings and Partitions (2009) (0)
- N T ] 1 1 Se p 20 00 Apollonian Circle Packings : Number Theory (2000) (0)
- N T / 0 00 91 13 v 2 1 7 O ct 2 00 3 Apollonian Circle Packings : Number Theory (2005) (0)
- Derangements on a Ferrers board (2015) (0)
- Combinatorics: The Rota Way: Symmetric Functions and Baxter Algebras (2009) (0)
- C O ] 1 1 Se p 20 07 Lattice and Schröder paths with periodic boundaries (2008) (0)
- Bivariate Gončarov polynomials and integer sequences (2014) (0)
- Combinatorics: The Rota Way: Matching Theory (2009) (0)
- Multivariate Difference Gon\v{c}arov Polynomials (2020) (0)
- C O ] 1 4 N ov 2 00 5 Crossings and Nestings of Matchings and Partitions (2008) (0)
- at h . C O ] 1 4 Ja n 20 05 Crossings and Nestings of Matchings and Partitions (2009) (0)
- Combinatorics: The Rota Way: Bibliography (2009) (0)
- On the Enumeration of Non-Crossing Pairings of Well-Balanced Binary Strings (2013) (0)
- Avoiding Monotone Chains in Fillings of Layer Polyominoes (2016) (0)
- Descents of Permutations in a Ferrers Board (2012) (0)
- Multivariate Delta Gon £ arov and (2016) (0)
- Vector parking functions with periodic boundaries and rational parking functions (2020) (0)
- Introduction to the Special Issue dedicated to Joseph Kung (2021) (0)
- Branching Processes with Negative Poisson Offspring Distribution (2007) (0)
- Ju l 2 01 9 Gončarov Polynomials in Partition Lattices and Exponential Families Dedicated to (2019) (0)
- Corrigendum to "Two-boundary lattice paths and parking functions" [Adv. in Appl. Math. 39 (4) (2007) 515-524] (2009) (0)
- Combinatorics: The Rota Way: Sets, Functions, and Relations (2009) (0)
- C O ] 2 7 Ju l 2 00 6 Linked Partitions and Linked Cycles (2018) (0)
- Lattice paths with periodic boundaries (2007) (0)
- Geometric Identities in Lattice Theory in memory of (2007) (0)
- GENERALIZED GONAROV POLYNOMIALS (2017) (0)
- U-parking functions and (p, q)-parking functions (2022) (0)
- Determinants, Matrices, and Polynomials (2009) (0)
- Avoiding Monotone Chains in Fillings of Layer Polyominoes (2016) (0)
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