Dr. Lorenzo Baldi

Profile

Academic positionPost Doc
Research fieldsAlgebraic geometry,Operations research, mathematical programming
KeywordsApplied Algebraic Geometry, Real Algebraic Geometry, Polynomial Optimization, Convex Geometry, Real Algebra
Honours and awards

2019: Path of Excellence for the Master degree in Mathematics, University of Trento

2017: Prize for the Bachelor degree in Mathematics and Computer Science, University of Florence

Current contact address

Host during sponsorship

Prof. Dr. Rainer SinnMathematisches Institut, Universität Leipzig, Leipzig
Start of initial sponsorship01/06/2024

Programme(s)

2023Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2025Baldi, Lorenzo and Krick, Teresa and Mourrain, Bernard: An Effective Positivstellensatz over the Rational Numbers for Finite Semialgebraic Sets. In: Math. Comp., 2025,
2025Baldi, Lorenzo and Mourrain, Bernard and Parusi{\'n}ski, Adam: On Lojasiewicz Inequalities and the Effective Putinar's Positivstellensatz. In: J. Algebra, 662, 2025, 741--767
2024Baldi, Lorenzo and Slot, Lucas: Degree Bounds for Putinar's Positivstellensatz on the Hypercube. In: SIAM J. Appl. Algebra Geometry, 2024, 1--25
2024Baldi, Lorenzo and Mourrain, Bernard: Exact Moment Representation in Polynomial Optimization. In: J. Symb. Comput., 2024, 102403
2023Baldi, Lorenzo and Mourrain, Bernard: On the Effective Putinar's Positivstellensatz and Moment Approximation. In: Math. Program., 200, 2023, 71--103
2021Baldi, Lorenzo and Mourrain, Bernard: Computing Real Radicals by Moment Optimization. Proc. 2021 Int. Symp. Symb. Algebr. Comput.. Association for Computing Machinery, 2021. 43--50