OVERVIEW
ROLES AT IMM
2026
IMM International Faculty
Differential Geometry
Course
Pakistan
Spring
ABOUT ME
I am a professor and researcher primarily interested in real algebraic geometry, polynomial optimization and approximations of tensors. Also, I have interests in random geometry and computational algebraic geometry.
CURRICULUM
from 2026 to 2026
IMM International Faculty, International Mathematics Master (IMM) Pakistan
Pakistan
from 2025 to 2025
IMM International Faculty, International Mathematics Master (IMM) Algeria
Algeria
from 2023 to Present
Tenure track professor, Côte d'Azur University
France
from 2019 to 2023
Postdoctoral Research Associate, Braunschweig Technic University
Germany
from 2018 to 2019
Postdoctoral Fellow, Max Planck Institute for Mathematics
Germany
from 2014 to 2018
PhD Student, Scuola Superiore Internazionale di Studi Avanzati (SISSA)
Italy
from 2013 to 2014
Fellow, External Research Scientist, Scuola Superiore Internazionale di Studi Avanzati (SISSA)
Italy
from 2010 to 2014
B.Sc. Student, Novosibirsk State University
Russia
MORE INFORMATION
My research
Kozhasov, K., & Lasserre, J.-B. (2022). Non-negative forms, volumes of sublevel sets, complete monotonicity and moment matrices. arXiv preprint arXiv:2206.05170.
Kozhasov, K., & Tonelli-Cueto, J. (2022). Probabilistic bounds on best rank-one approximation ratio. arXiv preprint arXiv:2201.02191.
Kozhasov, K. (2023). On eigenvalues of symmetric matrices with PSD principal submatrices. Journal of Symbolic Computation, 119, 90–100.
Kozhasov, K., & Kummer, M. (2020). Rational functions with only real periodic points. arXiv preprint arXiv:2004.10003.
Kozhasov, K., Heaton, A., & Venturello, L. (2022). Minimality of tensors of fixed multilinear rank. Linear and Multilinear Algebra.
Kozhasov, K., Brysiewicz, T., & Kummer, M. (2021). Nodes on quintic spectrahedra. Le Matematiche, 76(2), 415–430.
Kozhasov, K., Michałek, M., & Sturmfels, B. (2021). Positivity certificates via integral representations. In Facets of Algebraic Geometry (London Mathematical Society Lecture Note Series; volume dedicated to William Fulton’s 80th birthday).
Kozhasov, K. (2021). On minimality of determinantal varieties. Linear Algebra and Its Applications, 626, 56–78.
Kozhasov, K., & Lasserre, J.-B. (2020). Nonnegative forms with sublevel sets of minimal volume. Mathematical Programming.
Kozhasov, K., Agrachev, A., & Uschmajew, A. (2020). Chebyshev polynomials and best rank-one approximation ratio. SIAM Journal on Matrix Analysis and Applications, 41(1), 308–331.
Kozhasov, K., Breiding, P., & Lerario, A. (2019). Random spectrahedra. SIAM Journal on Optimization, 29(4), 2608–2624.
Kozhasov, K., & Beltrán, C. (2019). The real polynomial eigenvalue problem is well conditioned on the average. Foundations of Computational Mathematics.
Kozhasov, K., & Lerario, A. (2020). On the number of flats tangent to convex hypersurfaces in random position. Discrete & Computational Geometry, 63, 229–254.
Kozhasov, K., Breiding, P., & Lerario, A. (2018). On the geometry of the set of symmetric matrices with repeated eigenvalues. Arnold Mathematical Journal, 4, 423–443.
Kozhasov, K. (2018). On fully real eigenconfigurations of tensors. SIAM Journal on Applied Algebra and Geometry, 2(2), 339–347.
Kozhasov, K. (2015). A geometric flow in the space of 𝐺 2 G 2x -structures on the cone over 𝑆3×𝑆3S3×S3. Siberian Mathematical Journal, 56(6), 1093–1100.



