# Faculty of Mathematics

## Career

• Since 2020  University Reader in Mathematical Physics, Faculty of Mathematics, University of Cambridge
• 2018-2020 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

Summary of session A4: Complex and conformal methods in classical and quantum gravity
M Dunajski
– General Relativity and Gravitation
(2014)
46,
1694
Einstein-Weyl geometry, dispersionless Hirota equation and Veronese webs
M Dunajski, W Kryński
– Mathematical Proceedings of the Cambridge Philosophical Society
(2014)
157,
139
Twistor Theory of the Airy Equation
M Cole, M Dunajski
– Symmetry Integrability and Geometry Methods and Applications
(2013)
10,
8
Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures
M Dunajski, W Kryński
– Journal of Geometry and Physics
(2013)
86,
296
Vortex motion on surfaces of small curvature
D Dorigoni, M Dunajski, NS Manton
– Annals of Physics
(2013)
339,
570
Self-Dual Conformal Gravity
M Dunajski, P Tod
– Communications in Mathematical Physics
(2013)
331,
351
Enhanced Euclidean supersymmetry, 11D supergravity and $SU(\infty)$ Toda equation
M Dunajski, J Gutowski, WA Sabra
– Journal of High Energy Physics
(2013)
2013,
89
Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
M DUNAJSKI, W KRYŃSKI
– Mathematical Proceedings of the Cambridge Philosophical Society
(2013)
157,
139
Twistor Geometry of a Pair of Second Order ODEs
S Casey, M Dunajski, P Tod
– Communications in Mathematical Physics
(2013)
321,
681
Skyrmions from gravitational instantons
M Dunajski
– Proceedings of the Royal Society A
(2012)
469,
20120576
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