US Address: Harvard University, Center for Mathematical Sciences and Applications, 20 Garden Street, Cambridge MA, USA, 02138,

DK Address: Centre for Quantum Geometry of Moduli Spaces, Ny Munkegade 118, 1530, 319 8000, Aarhus C, Denmark

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Submitted

Amin Gholampour, Artan Sheshmani, and Shing-Tung Yau. Submitted. “Localized Donaldson-Thomas theory of surfaces.” Preprint. 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

Professor Sheshmani's research is focused on Gromov Witten/Donaldson Thomas theory, Calabi-Yau geometries and mathematical aspects of String theory. He mainly makes use of Algebraic Geometry techniques, such as Intersection theory and Derived Category theory for his research. Some times however, Representaion theory, Topology, Differential Geometry and Number Theory might also be employed to carry out the relevant computations. Recently together with collaborators, Artan has focused on proving modularity property of Donaldson-Thomas invariants of Calabi-Yau threefolds (specially general complete intersections). This property is predicted in a famous conjecture of String theory called S-duality conjecture and together with collaborators he has so far proved many cases of it, using Degenerations and Localizations, as well as Wallcrossing techniques. Artan recieved his PhD and Master's degrees in pure mathematics under Sheldon Katz and Thomas Nevins from the University of Illinois at Urbana Champaign (USA) in 2011 and 2008 respectively, and he holds a Master's degree in Solid Mechanics (2004) and two Bachelor's degrees, in Mechanical Engineering and Civil Engineering from the Sharif University of Technology,

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