Publications

My research interests lie in the fields of geometric topology, differential topology, and algebraic geometry. More specifically, I am interested in:

• low-dimensional topology and knot theory,

• contact and symplectic topology,

• algebraic surfaces, and curve and surface singularities.

Below is a list of my publications in the reverse chronological order, including preprints and projects in progress.

14. (with Min Hoon Kim) New homology spheres bounding Mazur manifolds

In preparation

13. (with Marco Golla and Min Hoon Kim) Non-orientable spanning surfaces and rational homology balls 

In preparation

12. (with Marco Golla) Homology concordances and links of singularities

In preparation

11. Embeddings of homology spheres in sums of complex projective planes 

In preparation

10. (with Alessio Di Prisa and Jaewon Lee) Every negative amphichiral knot is rationally slice

(arXiv) Submitted

9. (with Jaewon Lee) On homology spheres of the trivial local equivalence class

(arXiv) Submitted

8. (with Alessio Di Prisa) Equivariant ℚ-sliceness of strongly invertible knots 

(arXiv) To appear in Transactions of the American Mathematical Society

7. (with Alessio Di Prisa) Turk's head knots and links: a survey

(arXiv) Submitted

6. (with Rodolfo A. Aguilar) On homology planes and contractible 4-manifolds

Bulletin of the London Mathematical Society 56 (2024), no. 6, 2053-2074 (Journal) (arXiv) (Mathscinet)

5. A survey of the homology cobordism group

Bulletin of the American Mathematical Society New Series 61 (2024), no. 1, 119–157 (Journal) (arXiv) (Mathscinet)

4. (with Çağrı Karakurt) Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology

Acta Mathematica Hungarica 168 (2022), no.2, 454–489 (Journal) (arXiv) (Mathscinet)

3. Classical and new plumbed homology spheres bounding contractible manifolds and homology balls

International Journal of Mathematics 35 (2024), no. 14, 2450062, 16pp. (Journal) (arXiv) (Mathscinet)

2. More Brieskorn spheres bounding rational balls

Topology and its Applications 286 (2020), 107400, 10 pp. (Journal) (arXiv) (Mathscinet)

1. (with Çağrı Karakurt) Ozsváth-Szabó d-invariants of almost simple linear graphs

Journal of Knot Theory and its Ramifications 29 (2020), no. 5, 2050029, 17 pp. (Journal) (arXiv) (Mathscinet)