Biography
Dmitri Panov graduated from Moscow State University in 1998. He received his PhD from Ecole Polytechinque France in 2005, under the supervision of Maxim Kontsevich. From 2005-2010 he was a post-doc researcher at Imperial College London and then in 2010 he joined King’s College London as a Royal Society Research Fellow. He was promoted to Senior Research Fellow in 2012, Reader in 2015 and to Professor of Geometry in 2020.
Research interests
Dmitri's research area is geometry, mainly complex, symplectic, and hyperbolic. In particular, he studies geometric structures called polyhedral Kahler structures, and as well definite connections.
Polyhedral Kahler manifolds are triangulated manifolds with a specific choice of a Euclidean metric on each simplex, defining a singular Kahler metric on the whole manifold. Loosely speaking such manifolds attempt to discretise Kahler geometry. An example of a definite connection is a metric connection with non-vanishing curvature on a 3-bundle over a 4-manifold. The unit vector sub-bundle of a bundle with definite connection has a natural symplectic structure, thus we get a fruitful link between smooth 4-manifolds and symplectic 6-manifolds with new examples and conjectures.
Further information
Research Profile and Publications
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de Borbon, M. & Panov, D., 1 Dec 2022, In: Proceedings of the American Mathematical Society. 150, 12, p. 5459-5472 14 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1090/proc/16052
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Panov, D. & Lindsay, N., Nov 2021, In: Selecta Mathematica. 27, 5, 24 p., 93. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1007/s00029-021-00705-7
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Eremenko, A., Gabrielov, A., Mondello, G. & Panov, D., 18 Jan 2021, (Accepted/In press) In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. Research output: Contribution to journal › Article › peer-review
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Fine, J. & Panov, D., 21 Nov 2019, (Accepted/In press) In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. Research output: Contribution to journal › Article › peer-review
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Mondello, G. & Panov, D., 1 Aug 2019, In: GEOMETRIC AND FUNCTIONAL ANALYSIS. 29, 4, p. 1110-1193 84 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1007/s00039-019-00506-3
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Lindsay, N. & Panov, D., Mar 2019, In: Journal of Topology. 12, 1, p. 221–285 65 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1112/topo.12087
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Panov, D., Jun 2018, In: Geometry & Topology. 22, 5, p. 2697-2711 15 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.2140/gt.2018.22.2697
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Panov, D. & Petrunin, A., Dec 2016, In: COMPOSITIO MATHEMATICA. p. 2443-2460 18 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1112/S0010437X16007648
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Mondello, G. & Panov, D., 1 Jan 2016, In: International Mathematics Research Notices. 2016, 16, p. 4937-4995 59 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1093/imrn/rnv300
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Fine, J. & Panov, D., 2015, In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 91, 3, p. 709-730 22 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1112/jlms/jdv011