I am currently appointed as a Professor in the Department of Liberal Arts and Science at Daegu Gyeongbuk Institute of Science and Technology (DGIST), and I am visiting the University of Melbourne in the Department of Infrastructure Engineering for my sabbatical, hosted by Felix Hui.
I received my PhD in pure mathematics from the Department of Mathematics at the University of Michigan (UMich). I gained my research interest in hyperbolic geometry, and I also enjoyed teaching while I was working as a Graduate Student Instructor (GSI) at UMich. I joined School of Undergraduate at DGIST in 2015 as one of its early founding members, and I further grew my love of teaching undergraduates. I developed pedagogical methods for several math courses. I also spent time discovering research topics for undergraduates and high school students, such as:
Automated timetabling algorithms for university curriculum. (Link)
Implementing Cauchy--Crofton formula. (Link)
Game development in relation to the mathematics curriculum. (Link)
Degree reduction methods for QUBO. (Link)
Simulating the Rauzy fractal. (Link)
Self-replication patterns of the words that generate fractal domains. (Link)
Currently I have strong interests in Quantum Error Correction and Mathematics Education. The followings are the research topics I am working on:
Simulating the surface code --a topological quantum error correcting algorithm-- on non-Euclidean surfaces. (Link)
Developing a pedagogy to teach abstract mathematical concepts through the Go programming language. (Link, video, 비디오)
Developing a Go package for a general-purpose quantum simulator. (Link)
Educations
BS 2005 Department of Mathematics, KAIST, South Korea
PhD 2011 Department of Mathematics, University of Michigan
Lizhen Ji is my research advisor and mentor, for whom I am deeply grateful.
Professional Experiences
01/2011 – 09/2015 Researcher, Korea Institute for Advanced Studies (KIAS)
02/2015 – 01/2017 Visiting Professor, DGIST
02/2017 – 08/2021 Assistant Professor, DGIST
09/2021 – 02/2026 Associate Professor, DGIST
04/2021 – 02/2022 Chair, Department of Undergraduate Studies, DGIST
03/2026 – current Professor, DGIST
01/2026 – 01/2027 University Guest, Department of Infrastructure, University of Melbourne
Research Grant
03/2020 – 02/2023 National Research Foundation
Developing efficient quantum error correcting codes using hyperbolic lattices
90,000,000 KRW (equivalent to approximately 60,000 USD)
Publications
Hyosang Kang. Cofinite proper classifying spaces for lattices in semisimple Lie groups of R-rank 1, Comm. KMS. Vol 32 No. 3. (2017) doi.org/10.4134/CKMS.c160222
Kim Gahyun, Tae Seob Shin, Jae yong Chung, Junyoung Park, Ji-Woong Choi, Chang-Hun Lee, Hyosang Kang, and Kwon Min Jae. Development and Validation of a Measurement Scale for an Institute of Science & Technology Core Competencies. 공학교육연구, 23(5), 76-85. (2020) 10.18108/jeer.2020.23.5.76
Hyosang Kang, Hyunwoo Jung, Chaehwan Seol, Namho Hong, Hyunjin Lim, and Seokhyun Um. A degree reduction method for an efficient QUBO formulation for the graph coloring problem, The Pure and Applied Mathematics 31(1):57–81. (2024) 10.7468/jksmeb.2024.31.1.57
This research was funded by Daegu Science High School and collaboratively conducted with five high school students from the institution.
Hyosang Kang, Woojin Choi, Jeonghoon Rhee, and Youchan Oh, The boundary of Rauzy fractal and discrete tilings, Chaos, Solitons & Fractals: X, Vol 14. (2025) doi.org/10.1016/j.csfx.2025.100126
This research was conducted in collaboration with one undergraduate student (the second author) and two science high school students.
Hyosang Kang, Calculus revisited with Go language (Original title: Go로 다시 보는 미적분학). Kyungmoon(경문사) (2025) ISBN: 979-11-6073-753-0
Hyosang Kang, Learning Calculus with Python Projects (Original title: 파이썬 프로젝트로 배우는 미분적분학). Hanbit(한빛아카데미) (2025) ISBN: 979-11-7340-033-9
Available in paperback(link)
Taught Courses
University of Michigan, as GSI (Graduate Student Instructor, 2005 – 2011)
Math 105 Data, Functions, and Graph (Fall 2005, Winter 2006)
Math 115 Calculus I (Fall 2006, Fall 2010)
Math 116 Calculus II (Fall 2007, Winter 2007, Fall 2008, Winter 2008, Winter 2009)
Math 215 Multivariable & Vector Calculus (Winter 2010)
Math 216 Introduction to Differential Equation (Fall 2009)
DGIST (2015 – current)
BS102 Engineering Mathematics I (Spring 2022-2025)
SE102(BS101) Multivariable Calculus (Fall 2015-2022, 2024-2025)
TP404 Introduction to Quantum Computing (Fall 2021-2025)
TP403 Introduction to Geometry (Fall 2022-2025)
SE201 Linear Algebra (Spring 2019, Fall 2023)
SE101(BS102) Applied Calculus and Differential Equations (Spring 2015-2018, 2020, 2021)
SE202 Integrated Engineering Mathematics (Fall 2017-2018. Spring 2025)
SE420 Differential Geometry (Spring 2017-2021)
SE328 Topology (Fall 2019-2020)
SE425 Topics in Applied Mathematics: Matrix Groups (Fall 2019)
A Short Biography
I enjoyed solving mathematics problems during secondary school. I participated in Mathematics Olympiad activities and attended a science high school in Daegu, South Korea, which gave me ample opportunities to study mathematics in depth. I became interested in the lives of mathematicians through the book Fermat’s Last Theorem. It led me to admire the intellectual freedom of mathematicians and strongly influenced my decision to pursue the path of a mathematician.
I attended the Korea Advanced Institute of Science and Technology (KAIST), where I studied mathematics, biology, computer science, and statistics. One class I still remember is History of Science and Technology, in which I enjoyed reading the course book and wrote a long final essay on how religion and science have interacted during their development. Upon graduation, I had a choice between dental school at Seoul National University (SNU) and a PhD program at the University of Michigan. I valued living outside Korea and meeting new challenges, so I chose to study at Michigan.
Recent hobby
Handmade frames by Deform Blocks.
A recreation of Keith Haring's original artwork, made with 123 x 122 blocks.
A recreation of Keith Haring's original artwork, made with 92 x 91 blocks.
A recreation of Keith Haring's original artwork, made with 49 x 47 block