Artan Sheshmani

Associate professor

Artan Sheshmani

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. Sheshmani's other subjects of interest include; the connection between the geometry of Hilbert scheme of non-smooth surfaces and low dimensional topology, as well as the interaction between GW/DT theories and Homological Projective Duality program. 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 and Civil Engineering from the Sharif University of Technology, (Iran, 2003).

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