Welcome!

As a mathematician, my primary interest lies in exploring the elegant aesthetic of mathematics. I believe in the power of "combinatorializing" to enhance the elegance and fascination of mathematical structures. My research has focused on combinatorics and algebraic geometry, particularly in the areas of matroid theory, hyperplane arrangements, and tropical geometry, which are all related to the field of matroid geometry. I also have an interest in Coxeter groups and symplectic theory, both of which I approach with a combinatorial taste.

Recently, I solved a few open problems completely or partially as follows:

• Birational geometry of matroids and abstract hyperplane arrangements.

• Biconvex polytopes and tropical linear spaces.

• The sticky matroid conjecture.

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

Please feel free to contact me: you can email me at j.shin@snu.ac.kr.