Research Works

Ongoing Works

Nonnegativity certificates and positive tropicalizations, with M. L. Telek
A sparse Polya’s theorem via toric geometry, with R. Sinn, M. L. Telek and J. Weigert
Stubborn polynomials on curves and applications, with G. Blekherman, K. Kozhasov, D. Plaumann, B. Reznick and R. Sinn

Totally Real Divisors on Curves, with M. Kummer and D. Plaumann [arXiv]
Nonnegative Polynomials and Moment Problems on Algebraic Curves, with G. Blekherman and R. Sinn [arXiv]

An Effective Positivstellensatz for Finite SemiAlgebraic Sets. Accepted in Mathematics of Computation, with T. Krick and B. Mourrain [arXiv][journal]
Exact Moment Representation in Polynomial Optimization. In press in Journal of Symbolic Computation, with B. Mourrain [arXiv][journal]
On Łojasiewicz Inequalities and the Effective Putinar’s Positivstellensatz. Journal of Algebra 662, 741-767 (2025), with B. Mourrain and A. Parusiński [arXiv][journal]
Degree Bounds for Putinar's Positivstellensatz on the hypercube. SIAM Journal on Applied Algebra and Geometry 8.1 1–25 (2024), with L. Slot [arXiv][journal]
On the effective Putinar’s Positivstellensatz and moment approximation. Mathematical Programming 200, 71–103 (2023), with B. Mourrain [arXiv][journal]

Computing Real Radicals by Moment Optimization, ISSAC 2021: Proceedings of 46th International Symposium on Symbolic and Algebraic Computation, 43–50 (2021), with B. Mourrain [arXiv][conference]

Non-negative forms on cubic curves, extended abstract in Oberwolfach Report no. 15, 2023 [report]
Degree bounds for Putinar’s Positivstellensatz on the hypercube, extended abstract in Oberwolfach Report no. 14, 2023 [report]
Effective Representations in Real Algebraic Geometry and Polynomial Optimization, Ph.D. thesis [manuscript]