Institut für Analysis und Algebra
Technische Universität Braunschweig
Universitätsplatz 2
38106 Braunschweig
Room: 426
Telefon: (+49 531) 391-7527
E-Mail: k.kozhasov at tu-braunschweig.de
I am a postdoctoral researcher in the Applied Algebra group of Timo de Wolff at TU Braunschweig. Summer and Winter semesters of 2021/22 I spent 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 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. Here is my CV.
Geometric, topological and statistical properties of real polynomials and varieties.
Probabilistic bounds on best rank-one approximation ratio, with Josué Tonelli-Cueto
On eigenvalues of symmetric matrices with PSD principal submatrices
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
This semester I am teaching a master course "Applied Algebra and Geometry"
Jointly with Timo de Wolff, Stefan Kunis, Dirk Lorenz and Tim Römer we organize an online seminar on Applied Algebra and Analysis. The information about upcoming talks is available at http://www.iaa.tu-bs.de/AppliedAlgebra/AAA/. If you want to get into the mailing list, write me an e-mail.
Effective Methods in Algebraic Geometry (MEGA), 20 - 24 June 2022, Kraków (contributed talk)
Lluís Santaló School 2022 "Random and Deterministic Point Configurations", 11 - 15 July 2022, Santander
Real Algebraic Geometry, 24 - 28 October 2022, CIRM, Luminy (invited talk)
Foundations of Computational Mathematics, 12 - 21 June 2023, Paris (talk at the workshop "Real Number Complexity")