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Mathematical Interests
Types of mathematics which always seem to pique my interest:
  • Enumerative Combinatorics
    • Tilings
    • Matchings
    • Sink-free orientations
    • Directed graphs
    • Related probabilistic questions
    • Related efficient computer algorithms
    • ECO
  • Bijective Combinatorics
    • Combinatorial interpretations of integer sequences
    • Combinatorial proofs
  • Integers
    • Sequences: Fibonacci, Catalan, Schroeder, ...
    • Matrices and the theory of determinants
    • Riordan arrays
  • Graph Theory
    • Paths and cycles in graphs
    • Matrices and Matrix Methods
    • Tutte polynomial
    • Gain graphs
    • Related matroid theory
  • Applications to social sciences
    • Discrete mathematical models
    • Voting theory
  • Recreational mathematics
    • Puzzles!
    • Contests
  • Talking about mathematics
    • Math education
    • History of mathematics
    • Philosophy of mathematics

A link to my papers and talks

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Queens CollegeMathematics Department