| Technische Universität Braunschweig | Friedrich-Schiller-Universität Jena |
|---|---|
| Institut für Analysis und Algebra | Institut für Mathematik |
| Universitätsplatz 2 38106 Braunschweig | Ernst-Abbe-Platz 2 07737 Jena |
| Room: 426 | Room: 3339 |
| Phone: (+49 531) 391 7527 | Phone: (+49 3641) 9 46221 |
| E-Mail: k.kozhasov at tu-braunschweig dot de | E-Mail: khazhgali.kozhasov at uni-jena dot de |
I am a substitute professor in Mathematical Optimization at the University of Jena and a postdoctoral researcher (on leave) in the Applied Algebra group of Timo de Wolff at the TU Braunschweig.
In Summer and Winter semesters of 2021/22 I served as a substitute professor in the Applied Algebra and Data Analysis group at the University of Osnabrück. From April 2018 till March 2019 I was a postdoctoral researcher in the Nonlinear algebra group of Bernd Sturmfels at MPI MiS. I have obtained PhD in May 2018 at SISSA where my advisors were Andrei Agrachev and Antonio Lerario.
Here you can download my CV.
I am particularly interested in non-negative polynomials and their applications as well as in ranks, low-rank approximations and eigenvectors of tensors.
Non-negative forms, volumes of sublevel sets, complete monotonicity and moment matrices, with Jean-Bernard Lasserre
Probabilistic bounds on best rank-one approximation ratio, with Josué Tonelli-Cueto
On eigenvalues of symmetric matrices with PSD principal submatrices, Journal of Symbolic Computation, http://dx.doi.org/10.2139/ssrn.4290288
Minimality of tensors of fixed multilinear rank, with Alexander Heaton and Lorenzo Venturello, Linear and Multilinear Algebra, 10.1080/03081087.2022.2062274
Nodes on quintic spectrahedra, with Taylor Brysiewicz and Mario Kummer, Le Matematiche (2021), 76(2), 415–430
On minimality of determinantal varieties, Linear Algebra and its Applications (2021), 626, 56-78
Positivity Certificates via Integral Representations, with Mateusz Michałek and Bernd Sturmfels, LMS volume "Facets of Algebraic Geometry" dedicated to Fulton's 80th birthday
Nonnegative forms with sublevel sets of minimal volume, with Jean-Bernard Lasserre, Math. Program. (2020), https://doi.org/10.1007/s10107-020-01584-0
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 Fully Real Eigenconfigurations of Tensors, SIAM J. Appl. Algebra Geometry (2018), 2(2), 339-3478
In the ongoing semester I teach:
23 May 2023, talk in the Nonlinear Algebra group (Max Planck Institute for Mathematics in the Sciences)
Foundations of Computational Mathematics, 12 - 21 June 2023, Paris (talk at the workshop "Real Number Complexity")
6 July 2023, Mathematisches Kolloquium, Friedrich-Schiller-Universität Jena
SIAM Conference on Applied Algebraic Geometry (AG 23), 10 - 14 July 2023, Eindhoven (talk at the minisymposium "Data and certificates in algebra and geometry")