Research

Publications

  1. Optical geometries (with A. Fino and T. Leistner), accepted for publication in Ann. Sc. Norm. Super. Pisa, Cl. Sci., arXiv:2009.10012
  2. Almost Robinson geometries (with A. Fino and T. Leistner), Lett. Math. Phys., 113 (2023), no.3, Paper No. 56,103 pp., arXiv:2102.05634
  3. Distinguished curves and integrability in Riemannian, conformal, and projective geometry (with A. R. Gover and D. Snell), Adv. Theor. Math. Phys., 25 (2021), no. 8, pp 2055-2118, arXiv:1806.09830
  4. Twisting non-shearing congruences of null geodesics, almost CR structures, and Einstein metrics in even dimensions, Ann. Mat. Pura Appl. (4), 201 (2022), pp 655-693
  5. Conformal Patterson-Walker metrics (with M. Hammerl, K. Sagerschnig, J. Šilhan and V. Žádník), Asian J. Math. 23 (2019), no. 5, 703-734
  6. Decomposable (4,7) solutions in eleven-dimensional supergravity (with D. Alekseevsky and I. Chrysikos), Classical Quantum Gravity 36 (2019), pp 075002
  7. Fefferman-Graham ambient metrics of Patterson-Walker metrics (with M. Hammerl, K. Sagerschnig, J. Šilhan and V. Žádník), Bull. Lond. Math. Soc. 50 (2018), no. 2, 316-320
  8. A projective-to-conformal Fefferman-type construction (with M. Hammerl, K. Sagerschnig, J. Šilhan and V. Žádník), SIGMA 13 (2017), 081, 33 pages
  9. Pure spinors, intrinsic torsion and curvature in odd dimensions, Differential Geom. and Appl. 51 (2017), 117-152
  10. Twistor geometry of null foliations in complex Euclidean space, SIGMA 13 (2017), 005, 42 pages
  11. Pure spinors, intrinsic torsion and curvature in even dimensions, Differential Geom. and Appl. 46 (2016), 164-203
  12. A Goldberg-Sachs theorem in dimension three (with P. Nurowski), Classical Quantum Gravity 32 (2015), pp 115009
  13. Conformal field theories in six-dimensional twistor space (with L. J. Mason and R. A. Reid-Edwards), J. Geom. Phys. 62 (2012), no. 12, 2353-2375
  14. The complex Goldberg-Sachs theorem in higher dimensions, J. Geom. Phys. 62 (2012), no. 5, 981-1012
  15. Optical structures, algebraically special spacetimes and the Goldberg-Sachs theorem in five dimensions, Classical Quantum Gravity 28 (2011), pp 145010
  16. Killing-Yano tensors and multi-hermitian structures (with L. J. Mason), J. Geom. Phys. 60 (2010), no. 6-8, 907-923

Preprints

  1. Perturbations of Fefferman spaces over almost CR manifolds, arXiv:2309.16986
  2. Perturbations of Fefferman spaces over CR three-manifolds, arXiv:2303.07328
  3. The curvature of almost Robinson manifolds, arXiv:1404.5810