Publications and preprints:

Non-reductive GIT 

• Moment maps and cohomology of non-reductive quotients (with F. Kirwan), Inventiones Mathematicae, https://doi.org/10.1007/s00222-023-01218-0

• Geometric invariant theory for graded unipotent groups and applications (with B. Doran, T. Hawes, F. Kirwan), Journal of Topology 11(3), 2018, pp 826-855

• Constructing quotients of algebraic varieties by linear algebraic groups (with B. Doran, T. Hawes, F. Kirwan),  Handbook of Group Actions (Editors: Lizhen Ji, Athanase Papadopoulos, Shing-Tung Yau), Advanced Lectures in Mathematics (ALM), Higher Education Press and International Press.

• Graded linearisations (with B. Doran and F. Kirwan), Modern Geometry: a Celebration of the work of Simon Donaldson, Proceedings of Symposia in Pure Mathematics, AMS 2018

• Variation of non-reductive GIT (with F. Kirwan and J. Jackson), Surveys in Differential Geometry 22 (2017)

• Graded unipotent groups and Grosshans theory (with F. Kirwan), Forum Math. Sigma 5 (2017), e21, 45 pp.

• Stratifying quotient stacks and moduli stacks (with V. Hoskins and F. Kirwan), in Proceedings of the Abel Symposia, Springer Verlag, 2017

• Projective completions of graded unipotent quotients (with B. Doran, T. Hawes, F. Kirwan, ), arXiv:1607.04181

Hyperbolicity papers

• Non-reductive geometric invariant theory and hyperbolicity (with Frances Kirwan), Inventiones Mathematicae, https://doi.org/10.1007/s00222-023-01219-z

• Towards the Green-Griffiths-Lang conjecture via equivariant localisation, Proc. London Math. Soc. 118 (2019), no. 5, 1057–1083.

• Thom polynomials and the Green–Griffiths–Lang conjecture for hypersurfaces with polynomial degree, International Mathematical Research Notices, https://doi.org/10.1093/imrn/rnx332, 2018

Global singularity theory

• Thom polynomials of Morin singularities (with Andras Szenes), Annals of Mathematics, 175 (2012), 567-629.

• Expressions for resultants coming from the global theory of singularities (with L. Fehér and R. Rimányi), Topics in Algebraic and Noncommutative geometry, Contemporary Mathematics 324, AMS, 2003

• Non-reductive geometric invariant theory and Thom polynomials, arXiv:2012.06425

• Multiple-point residue formulas for holomorphic maps, arXiv:2112.15502 

Hilbert scheme of points, enumerative geometry

• Tautological integrals on curvilinear Hilbert schemes, Geom. Topol. 21 (2017), no. 5, 2897-2944

• Moduli of map germs, Thom polynomials and the Green-Griffiths conjecture, Contributions to Algebraic Geometry, edited by P. Pragacz, EMS, 2012, 141-168.

• Fixed point distribution on Hilbert scheme of points, arXiv:2306.11521

• Tautological integrals on Hilbert scheme of points I. arXiv:2303.14807
  Tautological integrals on Hilbert scheme of points II: Geometric subsets, arXiv:2303.14812
  Tautological integrals on Hilbert scheme of points III: Applications, in preparation 

Invariant theory

• On the Popov-Pommerening conjecture for linear algebraic groups, Compos. Math. 154 (2018), no. 1, 36-79.

Applied Algebraic Geometry

• Maximum Likelihood Estimation for Gaussian models and GIT (with Anna Seigal, Eloise Hamilton, Visu Makam, Philipp Reichenbach, Anna Seigal), in preparation