Chul Kim

Professor

Cryptography, Evaluation Modelling, Blockchain with its applications, Mathematical Aspects of Artificial Intelligence

Professor Chul Kim is a member of our mathematics faculty. Before joining us, he had full-time teaching positions at Shaw University, North Carolina State University, University of South Dakota, Kwangwoon University, Gwangju Institute of Science and Technology, Daegu Gyeongbuk Institute of Science and Technology, and Ryerson University. He was also a visiting scholar at the University of British Columbia, Pyongyang University of Science and Technology, and Tianjin University. While at Ryerson University, he received the Teaching Excellence Award in both 2005 and 2015.

Prof. Kim’s research interests span both applied mathematics and information technology security. His book, “Introduction to Cryptography”, was published in Korea in 1996. The book was the first book on cryptography written in Korean. In recent years, he has focused on the evaluation modelling of security mechanisms. He was also interested in evaluation methodologies for university admissions. His book, “Introduction to Holistic Evaluation for University Admissions,” published in 2011, was also the first specialized book of its kind in Korea.

Selected Publications

Life-time summary

{Theses}: 2
{Patent}: 1
{Book in English }: 1
{Books in Korean}: 7
{Book translated}: 1
{Papers in refereed journals}: 7
{Papers in refereed conferences}: 6
{Papers in refereed journals(in Korean)}: 12
{e-paper in Korean}: 2
{Papers in refereed conferences(in Korean)}: 18
{Non-refereed Papers in Korean}: 10
{Contributed presentation in International Meeting}: 16
{Research Fund as principal investigator}: 23
{Research Fund as co - investigator}: 14
{Media}: 10
{Invited talks}: 50

Grants and Fellowships

Courses Taught

MATH 105 :
MATH 106 :
MATH 108 :
MATH 113 :
MATH 114 :
MATH 213 :
MATH 495 :

Education

Ph.D. in Applied Mathematics, North Carolina State University (1989)

M.S. in Applied Mathematics, North Carolina State University (1987)

B.S. in Mathematics, Yonsei University (1984)

Recent Presentations

We propose a mathematical model for dynamic signature verification, which is a key form of behavioural authentication. In the signature verification area, many papers have been published focusing on feature-based verification and its efficiency in validation-only settings. Those papers have demonstrated various feature selection methodologies and decision processes. That is, the results have shown an embedding invariance, feature integrity for verification and convergence of different feature parameters. In this paper, we propose a formal description of feature selection at 3 depths: the template itself, the segment level, and the sub-segment level. The second level could be obtained from a discontinuity in the input signature, if there is one; otherwise, the segment would be separated by position parameters based on temporal or spatial separations. The third-level depth, the sub-segment level, could be selected using sub-position parameters. By calculating a rectangular area based on its position and sub-position parameters, the model will recognize the specific two-dimensional segments. By calculating the rectangular volume using its sub-position parameters and the average pressure, the model will determine the specific three-dimensional sub-segments. We find that most of the published works fit in the proposed model. For example, when the pressure values are set to 1, the model serves as a simple feature captioning verification system. By defining the model's overall integrity based on the computed correlations among its variables, we could validate it.