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Arpan Saha

I am a postdoctoral researcher working in the Emmy Noether Group for String Mathematics, led by Murad Alim at the University of Hamburg. I maintain a more up-to-date website here.

I wrote my dissertation, Twists of quaternionic Kähler manifolds, under the supervision of Vicente Cortés. I defended on 29th April, 2020. Further details about me are available in my CV.

Research

I am broadly interested in the differential geometry of moduli spaces that arise in physics and related topics. This includes in particular:

• Quaternionic Kähler and hyperkähler manifolds
• Special geometry and the c- and r-map constructions
• Twist construction applied to hypercomplex geometries
• The Hull–Strominger system and its moduli space
• Exact WKB, resurgence, and topological strings
• Mirror symmetry in Calabi–Yau manifolds and Higgs bundle moduli spaces

Here is a list of my preprints and publications:

• with Murad Alim, Jörg Teschner, and Iván Tulli, "Mathematical structures of topological string theory: from GW to DT invariants," arXiv:2109.06878
• with Murad Alim and Iván Tulli, "A hyperkähler geometry associated to the BPS structure of the resolved conifold," arXiv:2106.11976
• with Mauro Mantegazza, "The c-map as a functor on certain variations of Hodge structure," arXiv:2103.05060
• with Murad Alim, "Integrable hierarchy for the resolved conifold," arXiv:2101.11672
• with Vicente Cortés, "Four-dimensional Einstein manifolds with Heisenberg symmetry," arXiv:2104.07280
• with Vicente Cortés and Danu Thung, "Curvature of quaternionic Kähler manifolds with S^1-symmetry," arXiv:2001.10032
• with Vicente Cortés and Danu Thung, "Symmetries of quaternionic Kähler manifolds with S^1-symmetry," arXiv:2001.10026
• with Vicente Cortés, "Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics," arXiv:1705.04186
• with Karthik C. S., "Ham Sandwich is Equivalent to Borsuk–Ulam"
• with Shamit Kachru, Nilay Kundu, Rickmoy Samanta, and Sandip Trivedi, "Interpolating from Bianchi attractors to Lifshitz and AdS spacetimes," arXiv:1310.5740

Seminars

Here are links to the webpages of seminars I have helped organise:

• Quantum integrable systems and certain gauge theories
• Mirror symmetry and the SYZ conjecture
• Seiberg–Witten theory

Contact

Department of Mathematics Global Analysis and Differential Geometry Bundesstraße 55 (Geomatikum) 20146 Hamburg

Room 220 Tel.: +49 40 42838 5148 E-Mail: arpan.saha (at) uni-hamburg.de