Research Works

Ongoing Works

Stubborn polynomials on curves and applications, with G. Blekherman, K. Kozhasov, D. Plaumann, B. Reznick and R. Sinn
Totally Real Divisors on Algebraic Curves, with M. Kummer and D. Plaumann

An Effective Positivstellensatz for Finite SemiAlgebraic Sets, with T. Krick and B. Mourrain [arXiv]
Nonnegative Polynomials and Moment Problems on Algebraic Curves, with G. Blekherman and R. Sinn [arXiv]

Exact Moment Representation in Polynomial Optimization. Accepted for publication in Journal of Symbolic Computation, with B. Mourrain [arXiv]
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]