Publications
Preprints
(125) Operator-Valued Positivstellensätze on Matrix Convex Sets and Free Products of Finite Abelian Groups, latest revision 27 April 2026 (with , )
(124) Quantum tree networks: complete semidefinite hierarchies and the source-transfer model, latest revision 17 September 2026 (with , )
(123) Quantitative semidefinite certificates for ground-state energies of Pauli Hamiltonians, latest revision 28 May 2026 (with , )
(122) The bulk spectral gap is certifiable from above but uncomputable from below, latest revision 28 September 2026 (with , , , , , )
(121) Robust self-testing with CHSH mod 3, latest revision 3 April 2026 (with , )
(120) The Effective Lasserre's Perturbative Positivstellensatz, latest revision 13 March 2026 (with , )
(119) Convergence Rates for Lasserre's Upper-Bound Hierarchy on \(\mathbb R^d\) with Gaussian Measure, latest revision 15 October 2026 (with , )
(118) Quantitative quantum soundness for all multipartite compiled nonlocal games, latest revision 29 September 2025 (with , , , , , )
(117) Exploiting Term Sparsity in Symmetry-Adapted Basis for Polynomial Optimization, latest revision 21 November 2025 (with , and )
(116) Quantitative Quantum Soundness for Bipartite Compiled Bell Games via the Sequential NPA Hierarchy, latest revision 29 September 2025 (with , , , , , )
(115) Quantitative Tsirelson's Theorems via Approximate Schur's Lemma and Probabilistic Stampfli's Theorems, latest revision 15 September 2025 (with , )
(114) Classifying minimal vanishing sums of roots of unity, latest revision 21 July 2020 (with Louis Christie and ). Accompanying python code can be found here.
(113) Addendum to “Factoring non-negative operator valued trigonometric polynomials in two variables”, latest revision 23 August 2026 (with , , )
To appear
(112) Duality, extreme points and hulls for noncommutative partial convexity, Journal of the European Mathematical Society (JEMS) (with , Tea Štrekelj)
(111) Fejér–Riesz factorization for positive noncommutative trigonometric polynomials, Mathematische Annalen (with , )
(110) Inclusion constants for free spectrahedra with applications to quantum incompatibility, International Mathematics Research Notices (IMRN) (with , , , )
(109) Karush-Kuhn-Tucker conditions for non-commutative optimization problems, Foundations of Computational Mathematics (with , , Andrew Garner, )