Anton Lukyanenko, Ph.D.
Affiliations: | 2014 | Mathematics | University of Illinois, Urbana-Champaign, Urbana-Champaign, IL |
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"Anton Lukyanenko"Parents
Sign in to add mentor| Jang-Mei G. Wu | grad student | 2014 | UIUC | |
| (Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces.) | ||||
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Publications
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| Lukyanenko A, Vandehey J. (2020) Intrinsic diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group Monatshefte FüR Mathematik. 192: 651-676 |
| Fässler K, Lukyanenko A, Tyson JT. (2019) Heisenberg quasiregular ellipticity Revista Matematica Iberoamericana. 35: 471-520 |
| Dymarz T, Kelly M, Li S, et al. (2018) Separated nets in nilpotent groups Indiana University Mathematics Journal. 67: 1143-1183 |
| Herron DA, Lukyanenko A, Tyson JT. (2018) Quasiconvexity in the Heisenberg group Geometriae Dedicata. 192: 157-170 |
| Fässler K, Lukyanenko A, Peltonen K. (2016) Quasiregular Mappings on Sub-Riemannian Manifolds Journal of Geometric Analysis. 26: 1754-1794 |
| Lukyanenko A, Vandehey J. (2015) Continued fractions on the heisenberg group Acta Arithmetica. 167: 19-42 |
| Dejarnette N, Hajłasz P, Lukyanenko A, et al. (2014) On the lack of density of lipschitz mappings in sobolev spaces with heisenberg target Conformal Geometry and Dynamics. 18: 119-156 |
| Lukyanenko A. (2013) Bi-Lipschitz extension from boundaries of certain hyperbolic spaces Geometriae Dedicata. 164: 47-71 |
| Kapovich I, Lukyanenko A. (2012) Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups Conformal Geometry and Dynamics of the American Mathematical Society. 16: 269-282 |