# overview
I have research interests in Algebraic Combinatorics, Probabilistic Methods, Ordered Algebraic Structures, and Discrete Structures.

# keywords[]
3509 Transportation, Logistics And Supply Chains

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35 Commerce, Management, Tourism And Services

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4903 Numerical And Computational Mathematics

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4903 Numerical And Computational Mathematics

# keywords[]
3509 Transportation, Logistics And Supply Chains

# keywords[]
35 Commerce, Management, Tourism And Services

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# educationAndTraining[].organization.label
Beijing University of Technology - (Beijing, Beijing, China)

# educationAndTraining[].organization.label
Massachusetts Institute of Technology - (Cambridge, Massachusetts, United States)

# publications[].label
Generating functions for moments of the quasi-nilpotent DT-operator

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Generating Functions and the Umbral Calculus

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Avoiding Monotone Chains in Fillings of Layer Polyominoes

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Parking Functions on Directed Graphs and Some Directed Trees

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Lattice and Schrder paths with periodic boundaries

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U -parking functions and (p,q)-parking functions

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Generalized parking functions, tree inversions, and multicolored graphs

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Chains of Length 2 in Fillings of Layer Polyominoes

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Primeness of Generalized Parking Functions

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On the correspondence between integer sequences and vacillating tableaux

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Vector parking functions with periodic boundaries and rational parking functions

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On the discrepancy of strongly unimodular matrices

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On the Enumeration of Non-Crossing Pairings of Well-Balanced Binary Strings

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The Theory of Commuting Subalgebras of Complete Heyting Algebras

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Mixed Statistics on $01$-Fillings of Moon Polyominoes

# publications[].publisher
Centre pour la Communication Scientifique Directe (CCSD)

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A major index for matchings and set partitions

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Gonarov polynomials in partition lattices and exponential families

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Multivariate Delta Goncarov and Abel Polynomials

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Graphical operations on projective spaces

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Mixed Statistics on 01-Fillings of Moon Polyominoes

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Maximal increasing sequences in fillings of almost-moon polyominoes

# publications[].publisher
Centre pour la Communication Scientifique Directe (CCSD)

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Expected Sums of General Parking Functions

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Quasifinite Representations of Classical Lie Subalgebras of W1+

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Crossings and nestings of matchings and partitions

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The Renyi-Ulam pathological liar game with a fixed number of lies

# publications[].label
A major index for matchings and set partitions

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Two-boundary lattice paths and parking functions

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Apollonian circle packings: number theory

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High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

# publications[].publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

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Ulams pathological liar game with one halflie

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Apollonian circle packings: Geometry and group theory I. The Apollonian group

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Gonarov Polynomials in Partition Lattices and Exponential Families

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Distributive laws for commuting equivalence relations

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Parking Functions on Directed Graphs and Some Directed Trees

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Apollonian circle packings: Geometry and group theory III. Higher dimensions

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Six problems of Gian-Carlo!Rota in lattice theory and universal algebra

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Multivariate delta GonCarov and Abel polynomials

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On Increasing and Invariant Parking Sequences

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Hirzebruch y genera of the Hilbert schemes of surfaces by localization formula

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Introduction to the Special Issue dedicated to Joseph Kung

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On the Limiting Vacillating Tableaux for Integer Sequences

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Crossings and Nestings of Two Edges in Set Partitions

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Maximal increasing sequences in fillings of almost-moon polyominoes

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Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle

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Distribution of new statistics of parking functions and their generalizations

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Branching Processes with Negative Offspring Distributions

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Bivariate Gonarov polynomials and integer sequences

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Multiparking functions, graph searching, and the Tutte polynomial

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Primeness of generalized parking functions

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Positive and negative chains in charged moon polyominoes

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Multiparking functions, graph searching, and the Tutte polynomial extended abstract

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Crossings and Nestings of Matchings and Partitions

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Goncarov polynomials and parking functions

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Descents of Permutations in a Ferrers Board

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Apollonian circle packings: Geometry and group theory II. Super-Apollonian group and integral packings

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Exact formulas for moments of sums of classical parking functions

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The Theory of Commuting Boolean Sigma-Algebras

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Corrigendum to Two-boundary lattice paths and parking functions [Adv. in Appl. Math. 39 (4) (2007) 515524]

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Major index for 01-fillings of moon polyominoes

# publications[].label
Lattice and Schroder paths with periodic boundaries

# publications[].label
MIXED STATISTICS ON 01-FILLINGS OF MOON POLYOMINOES

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
The Renyi-Ulam pathological liar game with a fixed number of lies

# publications[].label
Crossings and nestings of matchings and partitions

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Arguesian Identities in the Congruence Variety of Abelian Groups

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Random geometric graph diameter in the unit ball

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].awardedBy.label
Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States)

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National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Problems In Enumerative Combinarorics and Applications

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Phillipson, Mitchell (2015-05). Monotone Sequences in Combinatorial Structures. Doctoral Dissertation.

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Poznanovikj, Svetlana (2011-10). Research on Combinatorial Statistics: Crossings and Nestings in Discrete Structures. Doctoral Dissertation.

# etdChairOf[].label
Schumacher, Paul R. (2010-01). Parking Functions And Generalized Catalan Numbers. Doctoral Dissertation.

# etdChairOf[].label
Pattillo, Jeffrey (2011-12). Mathematical Foundations and Algorithms for Clique Relaxations in Networks. Doctoral Dissertation.

# etdChairOf[].label
Kostic, Dimitrije Nenad (2009-05). Graph searching and a generalized parking function. Doctoral Dissertation.

# etdChairOf[].label
Linz, William Barham (2016-04). Investigation of a Markov Chain on Ferrers Boards. Master's Thesis.