Publications

Submitted
Duiliu Emanuel Diaconescu, Artan Sheshmani, and Shing-Tung Yau. Submitted. “Atiyah class and sheaf counting on local Calabi Yau fourfolds”. Publisher's Version
Amin Gholampour, Artan Sheshmani, and Shing-Tung Yau. Submitted. “Localized Donaldson-Thomas theory of surfaces”. Publisher's Version
Melissa Liu and Artan Sheshmani. Submitted. “Stacky GKM graphs and orbifold Gromov-Witten theory”. Publisher's Version
2018
Amin Gholampour and Artan Sheshmani. 2018. “Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms.” Advances in Mathematics , 326, Pp. 79-107. Publisher's Version
Amin Gholampour, Artan Sheshmani, and Shing-Tung Yau. 2018. “Nested Hilbert schemes on surfaces: Virtual fundamental class.” Journal of Differential Geometry (To Appear). Publisher's Version
2017
Sergey Gukov, Chiu-Chu Melissa Liu, Artan Sheshmani, and Shing-Tung Yau. 10/30/2017. “On topological approach to local theory of surfaces in Calabi-Yau threefolds.” Advances in Theoretical and Mathematical Physics , 21, 2017 no 7, Pp. 1679-1728. Publisher's Version
Amin Gholampour and Artan Sheshmani. 6/20/2017. “Intersection numbers on the relative Hilbert schemes of points on surfaces,” Asian Journal of Mathematics, 21, 3, Pp. 531-542. Publisher's Version
Artan Sheshmani and Chiu-Chu Melissa Liu. 6/14/2017. “Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds.” Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13, 48, Pp. 1-21. Publisher's Version
Amin Gholampour, Artan Sheshmani, and Yukinobu Toda. 3/14/2017. “Stable pairs on nodal K3 fibrations.” International Mathematics Research Notices (IMRN), Vol. 2017, No. 00, Pp. 1-50. Publisher's Version
2016
Artan Sheshmani. 12/1/2016. “Higher rank stable pairs and virtual localization.” Communications in Analysis and Geometry, 24, 1, Pp. 139-193. Publisher's Version
Artan Sheshmani. 12/1/2016. “Wall-crossing and invariants of higher rank stable pairs.” Illinois Journal of Mathematics, 59, 1, Pp. 55-83. Publisher's Version
Vincent Bouchard, Thomas Creutzig, Emanuel Diaconescu, Charles Doran, Callum Quigley, and Artan Sheshmani. 11/14/2016. “Vertical D4-D2-D0 bound states on K3 fibrations and modularity.” Communications in Mathematical Physics, 350, 3, Pp. 1069–1121. Publisher's Version
Artan Sheshmani. 9/1/2016. “Weighted Euler characteristic of the moduli space of higher rank Joyce-Song pairs,” European Journal of Mathematics. Publisher's Version
2014
Amin Gholampour, Artan Sheshmani, and R. P. Thomas. 10/1/2014. “Counting curves on surfaces in Calabi-Yau 3-folds.” Mathematische Annalen, 360, 1, Pp. 67-78. Publisher's Version
2013
Amin Gholampour and Artan Sheshmani. 8/31/2013. “Generalized Donaldson-Thomas Invariants of 2-Dimensional sheaves on local P^2.” Advances in Theoretical and Mathematical Physics, 19, 3, Pp. 673 – 699.
2012
8/1/2012. “An introduction to the theory of Higher rank stable pairs and Virtual localization.” In Proceedings of Symposia in Pure Mathematics, 85th ed., 2012: Pp. 455-465. Publisher's Version
2010
Banavara N. Shashikanth, Artan Sheshmani, Scott D. Kelly, and Mingjun Wei. 8/1/2010. “Hamiltonian structure and dynamics of a neutrally buoyant rigid sphere interacting with thin vortex rings.” Journal of Mathematical Fluid Mechanics, 12, 3, Pp. 335-353. Publisher's Version
2008
Banvara N. Shashikanth, Artan Sheshmani, Scott D. Kelly, and Jerrold E. Marsden. 1/1/2008. “Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape : The case of arbitrary smooth body shape.” Theoretical and Computational Fluid Dynamics, 22, 1, Pp. 37-64. Publisher's Version