Staff profile
Dr Yuri Nikolayevsky
Lecturer
School of Engineering and Mathematical Sciences
Room 324 / Physical Sciences 2
- T: +61 (0)3 9479 1644
- F: +61 (0)3 9479 2466
- E: Y.Nikolayevsky@latrobe.edu.au
- W: yurynikolayevsky.ltumathstats.com
Qualifications
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MSc, Kharkov. PhD, Leningrad.
Teaching areas
- MAT2ANA Analysis
- MAT1CFE Calculus and Functions for Economics
- MAT3DQ Dynamics and Quantum Mechanics
- STA3AP Applied Probability
Supervision
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Tom Poole, M.Sc., 2005, “Homogeneous Einstein spaces of dimension four”.
Professional involvement
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Member of AustMS.
Research interests
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Riemannian geometry, geometry of submanifolds, integral and conformal geometry.
- Lie groups and Lie algebras, homogeneous spaces and symmetric spaces.
- Topological graph theory.
Recent publications and presentations
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Einstein solvmanifolds and the pre-Einstein derivation. (arXiv:0802.2137). Accepted to Trans. Amer. Math. Soc.
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with G.Cairns, Generalized Thrackle Drawings of Non-Bipartite Graphs. Discrete Comput. Geom. 41 (2009), 119 – 134.
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Einstein solvmanifolds with a simple Einstein derivation. Geom. Dedicata 135 (2008), 87 – 102.
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Einstein solvmanifolds with free nilradical. Ann. Global Anal. Geom. 33 (2008), 71 – 87.
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Osserman Conjecture in dimension n ≠ 8, 16. Math. Ann., 331 (2005), 505 – 522.