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Faculty of Mathematics

 

Career

  • 2018-present University Lecturer  Faculty of Mathematics, University of Cambridge
  • 2014-18 Senior Research Associate Faculty of Mathematics, University of Cambridge.
  • 2011  Title of Professor, awarded by the President of the Republic of Poland.
  • 2006-2014, Newton Trust Lecturer in Mathematics, Faculty of Mathematics, University of Cambridge.
  • 2005 Habilitation.
  • 2003-present, Fellow, Tutor, Director of Studies, Senior Lecturer Clare College Cambridge.
  • 1999-2002 Tutorial Fellow in Applied Mathematics and the Senior Mathematics Tutor at Magdalen College, Oxford. University Lecturer in Mathematics, Mathematical Institute, Oxford.
  • 1995-1998 DPhil: Merton College and Mathematical Institute Oxford.

Research

Twistor Theory, Integrable Systems, Differential Geometry.

Selected Publications

  • Dunajski M., and Tod, K. P. (2019) Conformally isometric embeddings and Hawking temperature. Class. Quant. Grav. 36, 125005.
  • Atiyah, M., Dunajski, M. and Mason, L. (2017) Twistor theory at fifty: from contour integrals to twistor strings. Proceedings of the Royal Society, 473. 20170530 
  • Dunajski M. and Penrose, R. (2017) On the quadratic invariant of binary sextics. Math. Proc. Cambridge Philos. Soc. 162, 435445.
  • Dunajski, M. (2009) Solitons, Instantons & Twistors. Oxford Graduate Texts in Mathematics, Oxford University Press.
  • Bryant, R. L., Dunajski, M. and Eastwood, M. (2009)  Metrisability of two-dimensional projective structures, J. Differential Geometry 83, 465-499
  • Dunajski, M. (2002) Four-manifolds with a parallel real spinor, Proc. Roy. Soc. Lond. A 458, 1205-1222
  • Dunajski, M., Mason, L.J., and Tod, K.P. (2001) Einstein--Weyl geometry, the dKP equation and twistor theory, J. Geom. Phys. 37, 63-93.

Publications

Manton’s five vortex equations from self-duality
F Contatto, M Dunajski
– Journal of Physics A: Mathematical and Theoretical
(2017)
50,
375201
Einstein–Weyl spaces and near-horizon geometry
M Dunajski, J Gutowski, W Sabra
– Classical and Quantum Gravity
(2017)
34,
045009
First integrals of affine connections and Hamiltonian systems of hydrodynamic type
F Contatto, M Dunajski
– Journal of Integrable Systems
(2015)
1,
xyw009
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures
M Dunajski, P Tod
– Differential Geometry and its Application
(2017)
54,
11
On the quadratic invariant of binary sextics
M Dunajski, R Penrose
– Mathematical Proceedings of the Cambridge Philosophical Society
(2017)
162,
435
Non-Relativistic Twistor Theory and Newton–Cartan Geometry
M Dunajski, J Gundry
– Communications in Mathematical Physics
(2016)
342,
1043
Metrisability of three-dimensional path geometries
M Dunajski, M Eastwood
– European Journal of Mathematics
(2016)
2,
809
Cosmic jerk and snap in Penrose's CCC model
M Dunajski
– General Relativity and Gravitation
(2014)
46,
1814
On the Einstein-Weyl and conformal self-duality equations
M Dunajski, EV Ferapontov, B Kruglikov
– Journal of Mathematical Physics
(2015)
56,
083501
Summary of session A4: Complex and conformal methods in classical and quantum gravity
M Dunajski
– General Relativity and Gravitation
(2014)
46,
1694
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Research Groups

High Energy Physics
Relativity and Gravitation

Room

B0.38

Telephone

01223 764265