Ilia Smilga: Homepage

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Photo I am currently a Gibbs Assistant Professor at the Yale Math Department.

Office: DL 416 (10 Hillhouse Ave)
Mailing address:
Yale University
Mathematics Dept.
PO Box 208283
New Haven, CT 06520-8283
Phone: +1 (203) 432-4016
E-mail: firstname.lastname 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 14 November 2017).

Publications and preprints

  1. I. Smilga. Proper affine actions: a sufficient criterion, submitted.
  2. I. Smilga. Proper affine actions in non-swinging representations, to appear in Groups, Geometry and Dynamics.
  3. I. Smilga. Proper affine actions on semisimple Lie algebras, Annales de l'Institut Fourier 66:2 (2016) 785–831
  4. I. Smilga. Fundamental domains for properly discontinuous affine groups, Geometriae Dedicata 171 (2014) 203–229
  5. I. Smilga. Harmonic functions on the Sierpinski triangle, 2012 (preprint).

Other productions


I am currently teaching Math 360 (an undergraduate course on Lie groups) and Math 830 (graduate Differential Topology). See my CV for an exhaustive list of courses I have taught.