Hana Kim

Post-Doc
Sungkyunkwan University
hakkai14@skku.edu


History
  • Sungkyunkwan University B.S. in Mathematics, 2006
  • Sungkyunkwan University M.S. in Mathematics, 2008
  • Sungkyunkwan University Ph.D. in Mathematics, 2012
  • National Institute for Mathematical Sciences, Post Doc. 2014-2017
  • Sungkyunkwan University Post Doc. in Mathematics, 2017.9-present

Research Interests
  • Riordan group theory, Matrix theory, Algebra, Enumerative combinatorics.

Publications
  • A refined enumeration of hex trees and related polynomials (with R. P. Stanley), European J. Comb. 54 (2016), 207-219.
  • A link between ordered trees and green-red trees (with G.-S. Cheon and L. W. Shapiro), J. Korean Math. Soc. 53 (2016), 187-199.
  • Representing polynomials as characteristic polynomials via the Stieltjes transform (with G.-S. Cheon), Linear Algebra Appl. 476 (2015), 184-196.
  • The elements of finite order in the Riordan group over the complex field (with G.-S. Cheon), Linear Algebra Appl. 439 (2013), 4032-4046.
  • A new aspect of Hankel matrices via Krylov matrix (with G.-S. Cheon), Linear Algebra Appl. 438 (2013), 361-373.
  • Combinatorics of Riordan arrays with identical $A$ and $Z$ sequences (with G.-S. Cheon and L. W. Shapiro), Discrete Math. 312 (2012), 2040-2049.
  • The hitting time subgroup, ukasiewicz paths and Faber polynomials (with G.-S. Cheon and L. W. Shapiro), Eur. J. Combin. 32 (2011), 82-91.
  • An algebraic structure of Faber polynomials (with G.-S. Cheon and L. W. Shapiro), Linear Algebra Appl. 433 (2010), 1170-1179.
  • Riordan group involutions and the $\Delta$-sequence (with G.-S. Cheon, S.-T. Jin and L. W. Shapiro), Discrete Appl. Math. 157 (2009), 1696-1701.
  • A generalization of Lucas polynomial sequence (with G.-S. Cheon and L. W. Shapiro), Discrete Appl. Math. 157 (2009), 920-927.
  • Riordan group involutions (with G.-S. Cheon and L. W. Shapiro), Linear Algebra Appl. 428 (2008), 941-952.
  • Simple proofs of open problems about the structure of involutions in the Riordan group (with G.-S. Cheon), Linear Algebra Appl. 428 (2008), 930-940