My research interests include enumerative combinatorics, discrete mathematics, graph theory, linear and multilinear algebra, matrix theory, Lie theory, representation theory and their applications. We focus on the use of Riordan group theory and Riordan array techniques on problems arising in combinatorics, matrix theory and related topics.
학력
(PhD) 1991 Feb Sungkyunkwan University
약력/경력
2016.06-Present, Director/ Applied Algebra and Optimization Research Center, SRC-NRF of Korea (https://shb.skku.edu/aorc/)
2005.09 - Present, Professor/ Department of Mathematics, Sungkyunkwan University
2004.09 - 2005.08, Visiting Professor/ The Australian National University
2001.01 - 2001.02, Visiting Scholar/ Mathematical Institute of Oxford University, UK
1996.03 -1997.02 Post-Doc/ University of Wyoming, USA
2013.09 - Present, Director of Mathematics & Teaching Learning Center, SKKU
2012.06 - 2016.06, Chief Editor, Korean Journal of Mathematics
학술지 논문
(2023)
A conjecture on minimum permanents.
CZECHOSLOVAK MATHEMATICAL JOURNAL.
73,
4
(2023)
Matrix periods and competition periods of Boolean Toeplitz matrices.
LINEAR ALGEBRA AND ITS APPLICATIONS.
672,
(2022)
Structural properties of Toeplitz graphs.
DISCRETE MATHEMATICS.
345,
11
(2022)
On combinatorial properties and the zero distribution of certain Sheffer sequences.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.
514,
1
(2019)
Word-representability of Toeplitz graphs.
DISCRETE APPLIED MATHEMATICS.
270,
1
(2019)
Riordan graphs I: Structural properties.
LINEAR ALGEBRA AND ITS APPLICATIONS.
579,
1
(2019)
Riordan graphs II: Spectral properties.
LINEAR ALGEBRA AND ITS APPLICATIONS.
575,
1
(2019)
Mertens equimodular matrices of Redheffer type.
LINEAR ALGEBRA AND ITS APPLICATIONS.
572,
1
(2019)
On k-11 -representable graphs.
Journal of Combinatorics.
10,
3
(2019)
New q-Laguerre polynomials having factorized permutation interpretations.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.
470,
1
(2018)
A new aspect of Riordan arrays via Krylov matrices.
LINEAR ALGEBRA AND ITS APPLICATIONS.
554,
1
(2018)
Spectral properties of Pascal graphs.
LINEAR & MULTILINEAR ALGEBRA.
66,
7
(2018)
Horizontal and vertical formulas for exponential Riordan matrices and their applications.
LINEAR ALGEBRA AND ITS APPLICATIONS.
541,
1
단행본
(2022)
The Riordan Group and Applications.
Springer.
공동
수상/공훈
2013 SKKU Teaching Award
2004 KMS Research Award
학술회의논문
(2019)
Applications of a q-analog for Riordan arrays to various combinatorial objects.
The 17th International Conference on Permutation Patterns.
스위스
(2018)
Introduction to Riordan graphs.
Workshop on combinatorics and Graph Theory.
중국
(2018)
Mertens equimodular matrices related to the Riemann hypothesis.
2018 China-Korea International Conference on Matrix Theory with Applications.
중국
(2017)
On Riordan graphs.
The 4th International Symposium on Riordan arrays and Related Topics.
스페인
(2017)
New applications of Riordan arrays.
26th British Combinatorial Conference.
영국
(2016)
A group extension problem of the Riordan group and its applications.
Book of Abstract for "3rd International Symposium on Riordan Arrays and Related Topics".
미국
(2016)
A new aspect of the Riordan group via Krylov matrices.
Book of Abstract for "3rd International Symposium on Riordan Arrays and Related Topics".
미국
(2016)
Symmetry of the zeros of Sheffer polynomials.
Book of Abstracts for "3rd International Symposium on Riordan Arrays and Related Topics".
미국
(2016)
The q-Laguerre polynomials of the q-Sheffer type and their combinatorial interpretation.
Book of Abstract for "3rd International Symposium on Riordan Arrays and Related Topics".
미국
(2015)
The extension problem of the Riordan group.
The 10th KIAS Combinatorics Workshop.
대한민국
(2015)
Riordan arrays and related topics.
2015 대한수학회 정기총회 및 학술연구발표회 Program/Abstract.
대한민국
(2015)
Riordan matrices and polynomials associated to the Riemann zeta function.
2015 대한수학회 정기총회 및 학술발표회 Program/Abstract.
대한민국
(2015)
Krylov matrices versus orthogonal polynomials.
Second International Symposium on Riordan Arrays and Related Topics.
이탈리아
(2015)
Multidimensional Riordan arrays.
Second International Symposium on Riordan Arrays and Related Topics.
이탈리아
(2015)
On the multiple orthogonal polynomials of Sheffer type.
Second International Symposium on Riordan Arrays and Related Topics.
이탈리아
(2015)
The Riemann Zeta function and associated polynomials.
Second International Symposium on Riordan Arrays and Related Topics.
이탈리아
(2014)
Lattice path counting with a bounded strip restriction.
2014년도 대한수학회 가을연구발표회.
대한민국
(2014)
The Riordan Lie algebra.
2014년도 대한수학회 가을연구발표회.
대한민국
(2014)
An equivalence class of the generating functions and application to sloving functional equation.
The 19th Conference of the International Linear Algebra Society.
대한민국
(2014)
On the commutator subgroup of the Riordan group.
The 19th Conference of the International Linear Algebra Society.
대한민국
발전기금
