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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

Some examples of projective and $c$--projective compactifications of Einstein metrics
M Dunajski, AR Gover, A Waterhouse
– Annales Henri Poincare
(2020)
21,
1113
Einstein Metrics, Projective Structures and the $SU(\infty)$ Toda Equation
M Dunajski, A Waterhouse
– Journal of Geometry and Physics
(2020)
147,
103523
An example of the geometry of a 5th-order ODE: the metric on the space of conics in ${\mathbb{CP}}^2$
M Dunajski, P Tod
– Differential Geometry and its Application
(2019)
66,
196
Conformally isometric embeddings and Hawking temperature
M Dunajski, P Tod
– Classical and Quantum Gravity
(2019)
36,
125005
An octahedron of complex null rays, and conformal symmetry breaking
M Dunajski, M Långvik, S Speziale
– Physical Review D
(2019)
99,
104064
Jumps, folds and singularities of Kodaira moduli spaces.
M Dunajski, J Gundry, P Tod
– Journal of the London Mathematical Society
(2018)
98,
483
Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four
M Dunajski, T Mettler
– Journal of Geometric Analysis
(2018)
28,
2780
A note on the Hyper--CR equation, and gauged $N=2$ supergravity
M Dunajski, J Gutowski, W Sabra
– Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
(2018)
780,
166
Metrisability of Painleve equations
F Contatto, M Dunajski
– Journal of Mathematical Physics
(2018)
59,
023507
Twistor theory at fifty: From contour integrals to twistor strings
M Atiyah, M Dunajski, LJ Mason
– Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
(2017)
473,
20170530
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Research Groups

High Energy Physics
Relativity and Gravitation

Room

B0.38

Telephone

01223 764265