Dr Pulemotov holds a Bachelor's degree from Kyiv University and a PhD from Cornell University. His research is in the field of geometric analysis. He was a Dickson Instructor at the University of Chicago before joining the School of Mathematics and Physics at UQ as a lecturer in 2012.
Journal Article: The prescribed cross curvature problem on the three-sphere
Buttsworth, Timothy and Pulemotov, Artem (2023). The prescribed cross curvature problem on the three-sphere. Journal of Functional Analysis, 285 (5) 110019, 1-58. doi: 10.1016/j.jfa.2023.110019
Journal Article: Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy
Gould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8
Journal Article: The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups
Arroyo, Romina M., Pulemotov, Artem and Ziller, Wolfgang (2021). The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups. Differential Geometry and its Application, 78 101794, 1-14. doi: 10.1016/j.difgeo.2021.101794
Geometric evolution of spaces with symmetries
(2024–2027) ARC Discovery Projects
Lie superalgebra representations: a geometric approach
(2022–2025) ARC Discovery Projects
The Ricci curvature of homogeneous spaces
(2018–2022) ARC Discovery Projects
Geometric differential equations with symmetries
Doctor Philosophy
A degree-theoretic approach to geometric equations on manifolds with symmetries
(2019) Doctor Philosophy
The Bianchi Identity and the Ricci Curvature Equation
(2016) Doctor Philosophy
Geometric analysis
Several projects are available in the field of geometric analysis. Specific topics include geometric flows, prescribed curvature problems, geometry of Lie groups and homogeneous spaces, Yang-Mills theory, and connections with mathematical physics.
Berezansky, Yurij M. and Pulemotov, Artem (2008). Image of a Jacobi Field. Recent advances in matrix and operator theory. (pp. 47-62) edited by Joseph A. Ball, Yuli. Eidelman, J. William Helton, Vadim Olshevsky and J.ames Rovnyak. Basel, Switzerland: Birkhauser Verlag.
On the generalized joint eigenvector expansion for commuting normal operators
Pulemotov, Artem (2004). On the generalized joint eigenvector expansion for commuting normal operators. Current trends in operator theory and its applications. (pp. 517-524) edited by Joseph A. Ball, J. William Helton, Martin Klaus and Leiba Rodman. Basel, Germany: Birkhauser Verlag.
The prescribed cross curvature problem on the three-sphere
Buttsworth, Timothy and Pulemotov, Artem (2023). The prescribed cross curvature problem on the three-sphere. Journal of Functional Analysis, 285 (5) 110019, 1-58. doi: 10.1016/j.jfa.2023.110019
Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy
Gould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8
The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups
Arroyo, Romina M., Pulemotov, Artem and Ziller, Wolfgang (2021). The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups. Differential Geometry and its Application, 78 101794, 1-14. doi: 10.1016/j.difgeo.2021.101794
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
Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces
Pulemotov, Artem (2019). Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces. Journal of Geometric Analysis, 30 (1), 987-1010. doi: 10.1007/s12220-019-00175-6
Ricci iteration on homogeneous spaces
Pulemotov, Artem and Rubinstein, Yanir A. (2019). Ricci iteration on homogeneous spaces. Transactions of the American Mathematical Society, 371 (9), 6257-6287. doi: 10.1090/tran/7498
The Ricci flow on domains in cohomogeneity one manifolds
Pulemotov, Artem (2017). The Ricci flow on domains in cohomogeneity one manifolds. Journal of Mathematical Analysis and Applications, 456 (2), 745-766. doi: 10.1016/j.jmaa.2017.07.048
Metrics with prescribed Ricci curvature on homogeneous spaces
Pulemotov, Artem (2016). Metrics with prescribed Ricci curvature on homogeneous spaces. Journal of Geometry and Physics, 106, 275-283. doi: 10.1016/j.geomphys.2016.04.003
The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds
Pulemotov, Artem (2015). The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds. Annali di Matematica Pura ed Applicata, 195 (4), 1269-1286. doi: 10.1007/s10231-015-0515-x
Metrics with prescribed Ricci curvature near the boundary of a manifold
Pulemotov, Artem (2013). Metrics with prescribed Ricci curvature near the boundary of a manifold. Mathematische Annalen, 357 (3), 969-986. doi: 10.1007/s00208-013-0929-y
Quasilinear parabolic equations and the Ricci ﬂow on manifolds with boundary
Pulemotov, Artem (2013). Quasilinear parabolic equations and the Ricci ﬂow on manifolds with boundary. Journal für die reine und a ngewandte Mathematik, 683 (683), 97-118. doi: 10.1515/crelle-2012-0004
Gradient estimates for the heat equation under the Ricci flow
Bailesteanu, Mihai, Cao, Xiaodong and Pulemotov, Artem (2010). Gradient estimates for the heat equation under the Ricci flow. Journal of Functional Analysis, 258 (10), 3517-3542. doi: 10.1016/j.jfa.2009.12.003
The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary
Pulemotov, Artem (2008). The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary. Journal of Functional Analysis, 255 (10), 2933-2965. doi: 10.1016/j.jfa.2008.07.025
The Hopf boundary point lemma for vector bundle sections
Pulemotov, Artem (2008). The Hopf boundary point lemma for vector bundle sections. Commentarii Mathematici Helvetici, 83 (2), 407-419. doi: 10.4171/CMH/130
Spectral theory and Wiener-Ito decomposition for the image of a Jacobi field
Berezansky, Yu M. and Pulemotov, Artem D. (2007). Spectral theory and Wiener-Ito decomposition for the image of a Jacobi field. Ukrainian Mathematical Journal, 59 (6), 811-832. doi: 10.1007/s11253-007-0052-x
Image of the Spectral Measure of a Jacobi Field and the Corresponding Operators
Berezansky, Y. M., Lytvynov, E. W. and Pulemotov, A. D. (2005). Image of the Spectral Measure of a Jacobi Field and the Corresponding Operators. Integral Equations and Operator Theory, 53 (2), 191-208. doi: 10.1007/s00020-004-1344-2
Support of a joint resolution of identity and the projection spectral theorem
Pulemyotov, Artem D. (2003). Support of a joint resolution of identity and the projection spectral theorem. Infinite Dimensional Analysis Quantum Probability and Related Topics, 6 (4), 549-561. doi: 10.1142/S0219025703001444
On the support of the product of resolutions of identity
Pulemotov, Artyom. (2001). On the support of the product of resolutions of identity. Methods of Functional Analysis and Topology, 7 (2), 75-80.
On the generalized joint eigenvector expansion for commuting normal operators
Pulemyotov, A (2004). On the generalized joint eigenvector expansion for commuting normal operators. International Workshop on Operator Theory and its Applications (IWOTA), Blacksburg Va, Aug, 2002. BASEL: BIRKHAUSER VERLAG AG.
Geometric evolution of spaces with symmetries
(2024–2027) ARC Discovery Projects
Lie superalgebra representations: a geometric approach
(2022–2025) ARC Discovery Projects
The Ricci curvature of homogeneous spaces
(2018–2022) ARC Discovery Projects
Geometric boundary-value problems
(2015–2017) ARC Discovery Early Career Researcher Award
Geometric differential equations on curved spaces with boundaries
(2013–2014) UQ Early Career Researcher
Equations involving Ricci curvature on spaces with boundaries
(2012–2013) UQ New Staff Research Start-Up Fund
Geometric differential equations with symmetries
Doctor Philosophy — Principal Advisor
Supersymmetric field theories on curved manifolds and applications
Doctor Philosophy — Associate Advisor
A degree-theoretic approach to geometric equations on manifolds with symmetries
(2019) Doctor Philosophy — Principal Advisor
Other advisors:
The Bianchi Identity and the Ricci Curvature Equation
(2016) Doctor Philosophy — Principal Advisor
Other advisors:
Curvature Problems in Hermitian Geometry
(2023) Doctor Philosophy — Associate Advisor
Other advisors:
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
Geometric analysis
Several projects are available in the field of geometric analysis. Specific topics include geometric flows, prescribed curvature problems, geometry of Lie groups and homogeneous spaces, Yang-Mills theory, and connections with mathematical physics.