Research

Publications and preprints

11. The contact cut graph and a Weinstein L-invariant, with N. Castro, G. Islambouli, J. Min, L. Starkston, A. Wu, Trans. London Math. Soc. 12 (2025), no. 1, Paper No. e70020. https://doi.org/10.1112/tlm3.70020. (arXiv)(journal)

10. Splitting Algebraic Singular Fibrations via Perturbation of Branch Covers, with J. Van Horn-Morris, submitted. (arXiv)

9. Singular Fibers in Algebraic Fibrations of Genus 2 and Their Monodromy Factorizations, with J. Van Horn-Morris, submitted. (arXiv)

8. Slicing knots in definite 4-manifolds, with A. Kjuchukova, A. N. Miller, A. Ray, Transactions of the American Mathematical Society, Volume 377, Number 8, August 2024, Pages 5905–5946. (arXiv) (journal)

7. Complex Ball Quotients and New Symplectic 4-Manifolds with Nonnegative Signatures, with A. Akhmedov and S. K. Yeung, Taiwanese J. Math. 28 (2024), no. 1, 29–53. (arXiv) (journal)

6. Exotic Smooth Structures on Connected Sums of S2 × S2, with A. Akhmedov and D. Park, Quarterly Journal of Mathematics, Volume 74, Issue 2, June 2023, Pages 799–809. (article) (journal), 2019.

5. Generalized Chain Surgeries and Applications, with A. Akhmedov and Ç. Karakurt, Journal of Symplectic Geometry, Vol. 19, No. 5 (2021), pp. 1047-1069. (arXiv) (journal)

4. Symplectic 4-Manifolds on the Noether Line and Between the Noether and Half Noether Lines, Geometriae Dedicata, 215, 369–399 (2021) https://doi.org/10.1007/s10711-021-00655-6. (arXiv) (journal)

3. On the BV Structure on the Cohomology of Moduli Space, with A. A. Voronov, Pure and Applied Mathematics Quarterly, Vol. 16, No. 3 (2020), pp. 755-773. (arXiv) (journal)

2. Deformation of the Singular Fibers of Genus Two Fibrations and Small Exotic Symplectic 4-Manifolds, with A. Akhmedov, International Journal of Mathematics, Vol. 30, No. 3 (2019) 1950017 (37 pages). (arXiv) (journal)

1. On the geography of nonspin symplectic 4-manifolds with nonnegative signature, with A. Akhmedov, Topology and Its Applications, 206 (2016), 24-45. (arXiv) (journal)

•  For the papers 1 & 2, see also my Ph.D. thesis, 2018.

• Symplectic Geography Problems in Dimensions Four and Six - My oral exam report (M.S. thesis), University of Minnesota, 2016.

•  On Milnor’s Exotic Seven Spheres (& Characteristic Classes) - My M.S. thesis, advised by B. Ozbagci, Koc University, 2012.

Additional details about my research are available in my CV (linked above).