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.

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

In preparation

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

In preparation

11. (with Marco Golla and Min Hoon Kim) Spanning Klein bottles and rational homology balls

In preparation

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

(arXiv) Submitted to Advances in Mathematics

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

(arXiv) Submitted to Mathematical Proceedings of the Cambridge Philosophical Society

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

Transactions of the American Mathematical Society, 2025 (Journal) (arXiv) 

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

(arXiv) Under review in Expositiones Mathematicae

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

Bulletin of the London Mathematical Society, 2024. (Journal) (arXiv) (Mathscinet)

5. A survey of the homology cobordism group

Bulletin of the American Mathematical Society, 2024. (Journal) (arXiv) (Mathscinet)

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

Acta Mathematica Hungarica, 2022. (Journal) (arXiv) (Mathscinet)

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

International Journal of Mathematics, 2024. (Journal) (arXiv) (Mathscinet)

2. More Brieskorn spheres bounding rational balls

Topology and its Applications, 2020. (Journal) (arXiv) (Mathscinet)

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

Journal of Knot Theory and its Ramifications, 2020. (Journal) (arXiv) (Mathscinet)