Keimyung University math department secures national R&D grants for all full-time faculty

Keimyung University announced Friday that faculty members in its Department of Mathematics had been selected for National Research Foundation of Korea projects.

Three professors — Jeong Dae-won, Ko Eun-kyung and Jeong Byeong-seon — were chosen for new projects. Together with Lee Seung-hun, who is already carrying out a junior researcher project, all full-time faculty in the department are now engaged in major NRF programs.

The newly selected projects are Jeong Dae-won's basic research on a surrogate model for irregular singular integral operators based on dyadic scattering neural networks (Core Research Basic Research A), Ko Eun-kyung's study on the diversity of positive solutions to nonlinear elliptic partial differential equations (Core Research Basic Research A) and Jeong Byeong-seon's research on flexible approximation methods and their applications based on relaxed basis function reproduction (Core Research Basic Research B).

Lee Seung-hun is conducting a Junior Researcher Type A project on the extension of embedded complexes to triangulations.

The research spans pure mathematics — including partial differential equations and combinatorics — as well as applied mathematics such as numerical analysis, approximation theory, AI and machine learning.

Jeong Dae-won is exploring mathematical and computational methods for efficiently approximating complex singular integral operators using dyadic scattering neural networks, while Ko Eun-kyung is investigating the existence and diversity of positive solutions arising in nonlinear elliptic partial differential equations.

Jeong Byeong-seon is developing new numerical computation methods that ease the constraints of existing approximation techniques by relaxing basis function reproduction conditions, while Lee Seung-hun is studying complex structures and triangulation theory in combinatorics and discrete mathematics. A defining feature of the department is that it pursues both classical theoretical research and cutting-edge interdisciplinary work simultaneously.

"We will develop more flexible numerical computation methods by relaxing the limitations of existing approximation techniques and continue research applicable to a wide range of data-driven problems," Jeong Byeong-seon said.

"Research on partial differential equations is closely connected to problems in physics and engineering, so we will pursue work that bridges fundamental and applied mathematics," Ko Eun-kyung said.

The results are expected to influence the department's education and research environment. Students will gain exposure to the latest developments in mathematics through their professors' work and will be able to explore a broad range of career paths, from pure mathematics to AI-integrated fields.

The multiple national research projects are also expected to strengthen the link between undergraduate education and research.

Meanwhile, the Keimyung University Department of Mathematics has long pursued research across areas including analysis, partial differential equations, numerical analysis, approximation theory and combinatorics, and has recently been expanding its focus on education and research that combines mathematics with advanced fields such as AI and scientific machine learning.