Dr. Kh. Kozhasov

I am currently a postdoctoral researcher in the Applied algebra group of Timo de Wolff at TU Braunschweig. Before that I was a postdoctoral researcher in the Nonlinear algebra group of Bernd Stufmfels at MPI MiS. I have obtained PhD in May 2018 at SISSA where my advisors were Andrei Agrachev and Antonio Lerario, here you can find my thesis. And here is my complete CV.

• real algebraic geometry
• polynomial optimization
• computational algebraic geometry
• random algebraic geometry
• multilinear algebra

• Rational functions with only real periodic points, with Mario Kummer, submitted

• On minimality of determinantal varieties

• Nonnegative forms with sublevel sets of minimal volume, with Jean-Bernard Lasserre, submitted
• Positivity Certificates via Integral Representations, with Mateusz Michałek and Bernd Sturmfels, submitted

• Chebyshev polynomials and best rank-one approximation ratio, with Andrei Agrachev and André Uschmajew,
  SIAM J. Matrix Anal. Appl., 41(1), 308–331

• Random Spectrahedra, with Paul Breiding and Antonio Lerario, SIAM J. Optim., 29(4), 2608–2624

• The Real Polynomial Eigenvalue Problem is Well Conditioned on the Average, with Carlos Beltrán,
  Found Comput Math (2019), https://doi.org/10.1007/s10208-019-09414-2

• On the number of flats tangent to convex hypersurfaces in random position, with Antonio Lerario,
  Discrete Comput Geom (2019), doi.org/10.1007/s00454-019-00067-0
• On the Geometry of the Set of Symmetric Matrices with Repeated Eigenvalues,
  with Paul Breiding and Antonio Lerario, Arnold Math J. (2018), 4:423, doi.org/10.1007/s40598-018-0095-0

• On Fully Real Eigenconfigurations of Tensors, SIAM J. Appl. Algebra Geometry (2018), 2(2), 339-3478

• A geometric flow in the space of G2-structures on the cone over S3×S3,
  Siberian Mathematical Journal (2015), Volume 56, Issue 6, 1093-1100

• Nonlinear Algebra Seminar Online, every Tuesday and Thursday at 17:00 (CET) via Zoom