Publications

Preprints

(110)   Duality, extreme points and hulls for noncommutative partial convexity, latest revision 17 December 2024 (with , Tea Štrekelj)

(109)   Karush-Kuhn-Tucker conditions for non-commutative optimization problems, latest revision 21 November 2024 (with , , Andrew Garner, )

(108)   Quantum Max d-Cut via qudit swap operators, latest revision 27 March 2025 (with , Tea Štrekelj)

(107)   Cross-positive linear maps, positive polynomials and sums of squares, latest revision 30 January 2024 (with and )

(106)   Complete Upper Bound Hierarchies for Spectral Minimum in Noncommutative Polynomial Optimization, latest revision 8 January 2025 (with and )

(105)   Classifying minimal vanishing sums of roots of unity, latest revision 21 July 2020 (with Louis Christie and ). Accompanying python code can be found here.

To appear

(104)   Sums of squares certificates for polynomial moment inequalities, Foundations of Computational Mathematics (with and )

(103)   Monoid algebras and graph products, The Art of Discrete and Applied Mathematics (with and )

(102)   Positivstellensätze and Moment problems with Universal Quantifiers, Mathematics of Operations Research (with Xiaomeng Hu and )