Non-existence of degree bounds for weighted sums of squares representations. - Claus Scheiderer (J. Complex., 2005)

Toric completions and bounded functions on real algebraic varieties. - Daniel Plaumann; Claus Scheiderer (J. Lond. Math. Soc., 2016)

Semidefinite Representation for Convex Hulls of Real Algebraic Curves. - Claus Scheiderer (SIAM J. Appl. Algebra Geom., 2018)

Spectrahedral Shadows. - Claus Scheiderer (SIAM J. Appl. Algebra Geom., 2018)

Second-Order Cone Representation for Convex Sets in the Plane. - Claus Scheiderer (SIAM J. Appl. Algebra Geom., 2021)

Extreme Points of Gram Spectrahedra of Binary Forms. - Claus Scheiderer (Discret. Comput. Geom., 2022)

Convex hulls of monomial curves, and a sparse positivstellensatz. - Gennadiy Averkov; Claus Scheiderer (Math. Program., 2025)