My research interests are low-dimensional topology, symplectic topology and contact topology. In particular, I am working on classification problems of smooth and symplectic 4-manifolds, exotic smooth structures on small 4-manifolds and symplectic fillings of contact 3-manifolds.

Publications & Preprints

1. Constructing Lefschetz Fibrations via Cyclic Group Actions II, with Anar Akhmedov and Mohan Bhupal, in preprint

2. Surgeries on the Trefoil and Symplectic Fillings, with John Etnyre

3. Constructing Lefschetz Fibrations via Cyclic Group Actions I, with Anar Akhmedov, Advanced Mathematical Models & Applications, 2019, Vol.4, No 1, pp.15−50.

4. New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations, with Anar Akhmedov, Int. J. Math., 2015, Vol.26, No 1, pp.179−200.

Various Notes

1. Georgia Tech-Working Seminar: Lefschetz Fibrations and Construction of Exotic 4-Manifolds 

Upcoming Research Talks

• AMS Sectional Meeting at Florida State University in Tallahassee, FL, Topological Interactions of Contact and Symplectic Manifolds, March 23-24, 2024

• Rochester University Geometry Seminars, "Surgery on Trefoil and Symplectic Fillability"