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

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

# publications[].label
Multiparking functions, graph searching, and the Tutte polynomial

# publications[].label
Avoiding Monotone Chains in Fillings of Layer Polyominoes

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

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

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

# publications[].label
Positive and negative chains in charged moon polyominoes

# publications[].label
Two-boundary lattice paths and parking functions

# publications[].label
Mixed Statistics on 01-Fillings of Moon Polyominoes

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

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

# publications[].label
Apollonian circle packings: Geometry and group theory I. The Apollonian group

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On the Limiting Vacillating Tableaux for Integer Sequences

# publications[].label
Six problems of Gian-Carlo Rota in lattice theory and universal algebra

# publications[].label
Quasifinite Representations of Classical Lie Subalgebras of W1+

# publications[].label
Mixed Statistics on $01$-Fillings of Moon Polyominoes

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

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

# publications[].label
Generating Functions and the Umbral Calculus

# publications[].label
Gonarov Polynomials in Partition Lattices and Exponential Families

# publications[].label
Crossings and Nestings of Two Edges in Set Partitions

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

# publications[].label
The Theory of Commuting Subalgebras of Complete Heyting Algebras

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

# publications[].label
Chains of Length 2 in Fillings of Layer Polyominoes

# publications[].label
Crossings and Nestings of Matchings and Partitions

# publications[].label
Apollonian circle packings: Geometry and group theory II. Super-Apollonian group and integral packings

# publications[].label
Expected Sums of General Parking Functions

# publications[].label
Gonarov polynomials in partition lattices and exponential families

# publications[].label
Vector parking functions with periodic boundaries and rational parking functions

# 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
Goncarov polynomials and parking functions

# publications[].label
Arguesian Identities in the Congruence Variety of Abelian Groups

# publications[].label
Ulams pathological liar game with one halflie

# publications[].label
Bivariate Gonarov polynomials and integer sequences

# publications[].label
Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle

# publications[].label
Branching Processes with Negative Offspring Distributions

# publications[].label
Apollonian circle packings: Geometry and group theory III. Higher dimensions

# publications[].label
Multiparking functions, graph searching, and the Tutte polynomial extended abstract

# publications[].label
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

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

# publications[].label
Parking Functions on Directed Graphs and Some Directed Trees

# publications[].label
Multivariate Delta Goncarov and Abel Polynomials

# publications[].label
Apollonian circle packings: number theory

# publications[].label
Introduction to the Special Issue dedicated to Joseph Kung

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On the discrepancy of strongly unimodular matrices

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Graphical operations on projective spaces

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

# publications[].label
Multivariate delta GonCarov and Abel polynomials

# publications[].label
Generalized parking functions, tree inversions, and multicolored graphs

# publications[].label
Random geometric graph diameter in the unit ball

# publications[].label
Distributive laws for commuting equivalence relations

# publications[].label
Major index for 01-fillings of moon polyominoes

# publications[].label
The Theory of Commuting Boolean Sigma-Algebras

# publications[].label
U -parking functions and (p,q)-parking functions

# publications[].label
Exact formulas for moments of sums of classical parking functions

# publications[].label
Descents of Permutations in a Ferrers Board

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Lattice and Schroder paths with periodic boundaries

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

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

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

# 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)

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

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

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

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

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

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

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

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

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