Ilia Smilga: Homepage

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(Информацию по-русски - хотя и менее полную и, возможно, менее актуальную - вы можете найти на моей страничке у ВШЭ.)
Photo I am currently a Research Fellow (Научный сотрудник) at the Higher School of Economics (Moscow), at the Faculty of Mathematics.

Office number: 407
Physical address:
ul. Usacheva, d. 6
g. Moskva
Phone: dial +7 (495) 777-95-90 (for the HSE), then 15249 (internal number)
E-mail: first initial adjoined to last name AT (current)
       or firstname.lastname AT (permanent)

I work on discrete groups of affine transformations acting properly on the affine space. I defended my PhD thesis entitled "Tilings of the affine space", under the supervision of Yves Benoist, on 12 November 2014. Here is my CV (latest update on 19 March 2019).

Publications and preprints

  1. I. Smilga. Construction of Milnorian representations, accepted with minor revisions in Geometriae Dedicata.
  2. I. Smilga. Proper affine actions: a sufficient criterion, submitted.
  3. B. Le Floch, I. Smilga. Action of Weyl group on zero-weight space, Comptes Rendus Mathématique 356:8 (2018) 852–858
  4. I. Smilga. Proper affine actions in non-swinging representations, Groups, Geometry and Dynamics 12:2 (2018) 449–528
  5. I. Smilga. Proper affine actions on semisimple Lie algebras, Annales de l'Institut Fourier 66:2 (2016) 785–831
  6. I. Smilga. Fundamental domains for properly discontinuous affine groups, Geometriae Dedicata 171 (2014) 203–229
  7. I. Smilga. Harmonic functions on the Sierpinski triangle, 2012 (preprint).

Other productions


I currently have no teaching load, but have done a lot of teaching previously. See my CV for an exhaustive list of courses I have taught.