Welcome!

I am a mathematician captivated by the aesthetic beauty of mathematics. As a geometer, I enjoy combinatorializing to uncover the elegance inherent in mathematical structures, so combinatorial geometer would best describe me. I often characterize my field as matroid geometry—combinatorial geometry that blends ideas from matroid theory and algebraic geometry. I also work in tropical geometry.

If you were at SRI 2025, you probably remember me—the one in the suit!
(You can spot me nestled in the curve of the R in the aerial group photo.)

Recently, I have fully or partially solved several open problems:

• Birational geometry of matroids and abstract hyperplane arrangements (update coming soon).

• Biconvex polytopes and tropical linear spaces.

• The circuit-cocircuit intersection conjecture for intersection size k ≤ 7.

• Two matroid extension conjectures: the sticky matroid and Kantor's, submitted.

• Birational Geometry of Matroids and Abstract Hyperplane Arrangements, SRI 2025, CSU, Jul 2025 

• Matroid Geometry I, MMARGS Seminar, CSU, Aug 29, 2025 

• Matroid Geometry II, FRAGMENT Seminar, CSU, Sep 4, 2025 

• Biconvex Polytopes and Tropical Linear Spaces I, MMARGS Seminar, CSU, Sep 5, 2025 

• Biconvex Polytopes and Tropical Linear Spaces II, MMARGS Seminar, CSU, Sep 12, 2025 

• Circuit-Cocircuit Intersection Conjecture, MMARGS Seminar, CSU, Sep 19, 2025 

• Biconvex Polytopes and Tropical Linear Spaces, Combinatorics Seminar, Binghamton University, Nov 18, 2025

• Ph.D. in Mathematics, University of Georgia, United States, 2013.

• Postdoc, Korea Institute for Advanced Study, South Korea, 2013–2014, 2021–2022.

• Postdoc, National Institute for Mathematical Sciences, South Korea, 2014–2016.

• Postdoc, Research Institute of Mathematics, Seoul National University, South Korea, 2016–2017.

• Lecturer, Seoul National University, South Korea, 2018–2020, 2022–present.

Please feel free to reach out to me via email at j.shin@snu.ac.kr.