Journal Article: Prescribing Ricci curvature on a product of spheres
Buttsworth, Timothy and Krishnan, Anusha M. (2022). Prescribing Ricci curvature on a product of spheres. Annali di Matematica Pura ed Applicata, 201 (1), 1-36. doi: 10.1007/s10231-021-01105-6
Journal Article: Deducing flux from single point temperature history when relative spatial variation of flux is prescribed
Buttsworth, David and Buttsworth, Timothy (2021). Deducing flux from single point temperature history when relative spatial variation of flux is prescribed. International Journal of Heat and Mass Transfer, 181 121831, 121831. doi: 10.1016/j.ijheatmasstransfer.2021.121831
Journal Article: On the Ricci iteration for homogeneous metrics on spheres and projective spaces
Buttsworth, T., Pulemotov, A., Rubinstein, Y. A. and Ziller, W. (2021). On the Ricci iteration for homogeneous metrics on spheres and projective spaces. Transformation Groups, 26 (1), 145-164. doi: 10.1007/s00031-020-09602-3
Distinguished Geometric Structures with Symmetry in Four Dimensions
(2022–2025) ARC Discovery Early Career Researcher Award
Geodesics on Homogeneous Spaces and connections to the Euler Fluid Equations
Doctor Philosophy
Existence and non-existence of Ricci solitons with symmetry
Master Philosophy
Geometric differential equations with symmetries
Doctor Philosophy
Prescribing Ricci curvature on a product of spheres
Buttsworth, Timothy and Krishnan, Anusha M. (2022). Prescribing Ricci curvature on a product of spheres. Annali di Matematica Pura ed Applicata, 201 (1), 1-36. doi: 10.1007/s10231-021-01105-6
Buttsworth, David and Buttsworth, Timothy (2021). Deducing flux from single point temperature history when relative spatial variation of flux is prescribed. International Journal of Heat and Mass Transfer, 181 121831, 121831. doi: 10.1016/j.ijheatmasstransfer.2021.121831
On the Ricci iteration for homogeneous metrics on spheres and projective spaces
Buttsworth, T., Pulemotov, A., Rubinstein, Y. A. and Ziller, W. (2021). On the Ricci iteration for homogeneous metrics on spheres and projective spaces. Transformation Groups, 26 (1), 145-164. doi: 10.1007/s00031-020-09602-3
Cohomogeneity-one quasi-Einstein metrics
Buttsworth, Timothy (2019). Cohomogeneity-one quasi-Einstein metrics. Journal of Mathematical Analysis and Applications, 470 (1), 201-217. doi: 10.1016/j.jmaa.2018.09.064
The prescribed Ricci curvature problem on three-dimensional unimodular Lie groups
Buttsworth, Timothy (2018). The prescribed Ricci curvature problem on three-dimensional unimodular Lie groups. Mathematische Nachrichten, 292 (4), 747-759. doi: 10.1002/mana.201800052
The Dirichlet problem for Einstein metrics on cohomogeneity one manifolds
Buttsworth, Timothy (2018). The Dirichlet problem for Einstein metrics on cohomogeneity one manifolds. Annals of Global Analysis and Geometry, 54 (1), 155-171. doi: 10.1007/s10455-018-9596-2
A degree-theoretic approach to geometric equations on manifolds with symmetries
Buttsworth, Timothy (2019). A degree-theoretic approach to geometric equations on manifolds with symmetries. PhD Thesis, School of Mathematics and Physics, The University of Queensland. doi: 10.14264/uql.2019.643
Distinguished Geometric Structures with Symmetry in Four Dimensions
(2022–2025) ARC Discovery Early Career Researcher Award
Geodesics on Homogeneous Spaces and connections to the Euler Fluid Equations
Doctor Philosophy — Principal Advisor
Other advisors:
Existence and non-existence of Ricci solitons with symmetry
Master Philosophy — Associate Advisor
Other advisors:
Geometric differential equations with symmetries
Doctor Philosophy — Associate Advisor
Other advisors: