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About me
I am an Associate Professor at the Department of Mathematics Education and the Director of the Office of Educational Innovation, Chungbuk National University. I also serve as a Chairperson of the Department of Art and Design and the Director of the Chungcheong Higher Education Compact (CHEC).
Previously, I was a Research Fellow (Postdoc) at the School of Mathematics, Korea Institute for Advanced Study. Before that, I worked in Bonn, Germany as a Postdoctoral Fellow at Max-Planck-Institut für Mathematik and as a guest of Hausdorff Research Institute for Mathematics. I also taught mathematics and advised students in New York City for seven semesters. I received my PhD from CUNY Graduate Center. My thesis is here. Before coming to the US, I studied Mathematics at Yonsei University in Seoul, South Korea.
Here is my CV.
Address: Department of Mathematics Education, Chungbuk National University, 1 Chungdaero Seowon-Gu, Cheongju 28644, Republic of Korea
Office: E1-1 Room 110
Phone: +82-43-261-2721
Email: 
Research Interest
Differential geometry and algebraic topology. Geometric structures on higher bundles, generalized cohomology theories and their equivariant, differential, and twisted refinements. I am also interested in higher categories, index theory, noncommutative geometry, and topology of matters.
Publications and preprints
Mathematics
- Brown functors of directed graphs, with Hsuan-Yi Liao, Dang Khoa Nguyen, and Zachary McGuirk. ArXiv
- Generalization of the Thistlethwaite-Tsvietkova Method, with Alice Kwon and Ying Hong Tham. ArXiv
- Geometric families define differential K-theory, with Jae Min Lee.
- On the smoothness of the geodesic spray for the Camassa-Holm equation, with Jae Min Lee, J. Math. Anal. Appl., 516(1) (2022) 126472 1--12.
- Noncommutative differential K-theory, with Arthur J. Parzygnat, Corbett Redden, and Augusto Stoffel, J. Geom. Phys., 174 (2022) 104446 1--40.ArXiv
- A note on the Venice lemma in differential K-theory, Arch. Math., 118(2) (2022) 215--224.
- A classification of equivariant gerbe connections, with Corbett Redden, Commun.
Contemp. Math., 21(2) (2019) 1--40. ArXiv
- Geometric models of twisted differential K-theory I, J. Homotopy and Relat. Struct., 13(1) (2018) 143--167. ArXiv
- A smooth variant of Hopkins-Singer differential K-theory, New York J. Math., 23 (2017) 655--670. ArXiv
Educational Administraion
- A Study on Administrative System Structuring for Teacher Training Institutions: A CIPP-PDCA Approach Centered on the 6th Competency Diagnosis Indicators, with Hyunju Lee, Yejin Lee, and Kyungog Lee, Korean Educational Research Journal, 47(2) (2026) 157--196.
- A Study on Promoting Offline Credit Exchange Based on Credit Exchange Performance of the Chungcheong Higher Education Compact, with Eunhee Jeon, Yejin Lee, Juhee Lee, and Kyungog Lee, Korean Educational Research Journal, 47(1) (2026) 409--440.
Book projects
- Calculus (in Korean), Prealculus (in Korean), College Mathematics (in Korean), with Daewoong Cheong, Sukjung Hwang, Un Cig Ji, Sangdon Jin, Sejong Kim, Sun Kwang Kim, Doowon Koh, Ohsang Kwon, Eunjeong Lee, Jaemin Shin, Changhun Yang, Mee Sue Yoo, and Youngho Yoon (2024) Kyungmoon Publishing Co.
- ISBN-13: 9791160736908 (Calculus) available to purchase at Kyobo and Aladin
- ISBN-13: 9791160736915 (Preculus) available to purchase at Kyobo and Aladin
- ISBN-13: 9791160736922 (College Mathematics) available to purchase at Kyobo and Aladin.
- How can we be good at mathematics? in Knowledge and education in the era of new media (in Korean) with Jin Choi, Seung-Hyun Choi, Hye-Jee Gil, Yeungyu Ha, Jiyoung Hwang, Gail Jeon, Jieun Lim, Sein Shin, Kyung Chan Son, Kyungwon Son, Jooho Song, and Hyun Wi Yoon (2022) Pakyoungsa.
- ISBN-13: 9791165192730 available to purchase at Kyobo and Aladin.
Teaching
- Differential Geometry II
Selected talks and slides
- 11, 18, and 25 December 2023: IUT Mathematics and Statistics Research Seminar, Isfahan University of Technology, Isfahan, Iran. Poster, Notes
- 01 December 2018: 2018 Seoul-Tokyo Conference, Korea Institute for Advanced Study (KIAS), Seoul, Korea.
- 24 April 2018: Topology in Australia and South Korea 2018, IBS Center for Geometry and Physics (IBS-CGP), Pohang, Korea Slides
- 29 January -- 02 February 2018: The 13th KIAS Winter School on Differential Geometry, Korea Institute for Advanced Study (KIAS), Seoul, Korea. Conference venue: Hill Condominium, High 1 Resort, Jeongseon, Korea
- 26 March 2017: Topology Workshop -- Cohomology Theories, Categories, and Applications, The University of Pittsburgh, Pittsburgh PA, USA
- 16 February 2017: Algebraic Topology Seminar, Princeton University, Princeton NJ, USA Slides
- 17 November 2016: K-theory Seminar, Hausdorff Research Institute for Mathematics, Bonn, Germany. Veranstaltungskalender
- 02 November 2016: Higher Differential Geometry Seminar, Max-Planck-Institut für Mathematik, Bonn, Germany. Veranstaltungskalender
- 06 September 2016: GAP Seminar, Pennsylvania State University, University Park PA, USA.
- 22 June 2016: Deformation Theory Seminar, University of Pennsylvania, Philadelphia PA, USA.
Seminars
- Geometry Seminar at CBNU
Addresses
Interviews
Last Updated: 01 September 2026