thakre 
ictsresin
I am a postdoc at ICTS-TIFR, working in Differential geometry. Broadly classified, my research interests lie in low-dimensional Gauge theories and associated geometries. At the moment I am exploring relations between certain non-linear gauged sigma models (fancy term for generalised Seiberg-Witten and symplectic vortex equations!) and degenerate metrics on 2 and 4-dimensional manifolds.
Here's my brief CV with publication list:
Education
- Jun 2009 - Jul 2013: Ph.D (Mathematics), University of Göttingen, Göttingen (Germany)
Thesis: “Conformal properties of generalised Dirac operator”
Advisor: Prof. Dr. Viktor Pidstrygach
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Aug 2006 - Aug 2008: M.Sc. (Applied Mathematics), Tata Institute of Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM), Bengaluru (India)
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Aug 2003 - Jun 2006: B.Sc. (Mathematics), Fergusson College, University of Pune (India)
Research Experience
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Dec 2016 - Current: Post-doctoral Fellow, International Centre for Theoretical Sciences (ICTS-TIFR), Bengaluru (India)
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Jul 2014 - Nov 2016: Post-doctoral Fellow, Harish-Chandra Research Institute (HRI), Allahabad (India)
Publications
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Thakre, V., “Hypersymplectic manifolds and associated geometries”, To appear in Q. J. Math., 2019 (ArXiv: 1901.05629)
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Thakre, V., “Generalised Seiberg-Witten equations and almost-Hermitian geometry”, J. Geom.Phys., 134: 119-132, 2018
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Biswas, I., Thakre, V., “Generalized monopole equations on Kähler surface”, J. Math. Phys., 59:043503, 2018
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Dey, R., Thakre, V., “Generalized Seiberg-Witten equations on Riemann surface”, J. Geom. Symmetry Phys., 45: 47-66, 2017
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Biswas, I., Mukherjee, R., Thakre, V., “Genus two enumerative invariants in del-Pezzo surfaces with a fixed complex structure”, Geom. Dedicata, 195: 379–401, 2017
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Biswas, I., Mukherjee, R., Thakre, V., “Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure”, Comptes Rendus Mathematique, 354: 517-521, 2016