- Exact semidefinite programming bounds for packing problems

With Maria Dostert and Philippe Moustrou

To appear in SIAM J. Optim. (2021), 24 pages, arXiv:2001.00256 - Pair correlation for Dedekind zeta functions of abelian extensions

With Larry Rolen, Zack Tripp, and Ian Wagner

Preprint (2019), 16 pages, arXiv:1908.04876 - k-point semidefinite programming bounds for equiangular lines

With Fabrício Caluza Machado, Fernando Mário de Oliveira Filho, Frank Vallentin

Preprint (2018), 26 pages, arXiv:1812.06045 - Optimal densities of packings consisting of highly unequal objects

Preprint (2016), 6 pages, arXiv:1603.01094

- Primes in arithmetic progressions and semidefinite programming

With Andrés Chirre and Valdir José Pereira Júnior

Math. Comp. (2021), arXiv:2005.02393 - High-dimensional sphere packing and the modular bootstrap

With Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, and Amirhossein Tajdini

J. High Energy Phys. (2020), Article number: 66 (2020), 45 pages, arXiv:2006.02560 - Pair correlation estimates for the zeros of the zeta-function via semidefinite programming

With Andrés Chirre and Felipe Gonçalves

Adv. Math. (2020), 15 pages, arXiv:1810.08843 - Moment methods in energy minimization: New bounds for Riesz minimal energy problems

Trans. Amer. Math. Soc. (2019), 43 pages, arXiv:1610.04905 - Lower bounds on matrix factorization ranks via noncommutative polynomial optimization

With Sander Gribling and Monique Laurent

Found. Comput. Math. (2019), 58 pages, arXiv:1708.01573 - Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

With Sander Gribling and Monique Laurent

Math. Program., Ser. B (2018), 38 pages, arXiv:1708.09696 - Matrices with high completely positive semidefinite rank

With Sander Gribling and Monique Laurent

Linear Algebra Appl. 513 (2017), 122–148, arXiv:1605.00988 - A semidefinite programming hierarchy for packing problems in discrete geometry

With Frank Vallentin

Math. Program., Ser. B 151 (2015), 529-553, arXiv:1311.3789 - Upper bounds for packings of spheres of several radii

With Fernando Mário de Oliveira Filho and Frank Vallentin

Forum Math. Sigma 2 (2014), e23, 42 pages, arXiv:1206.2608 - Fourier analysis on finite groups and the Lovász θ-number of Cayley graphs

With Evan DeCorte and Frank Vallentin

Experiment. Math. 23 (2014), 146-152, arXiv:1307.5703

- A Breakthrough in Sphere Packing: The Search for Magic Functions

With Frank Vallentin

Nieuw Archief voor Wiskunde 5/17 (2016), 184-192, arXiv:1607.02111

- High precision computations for energy minimization

In: Real algebraic geometry with a view toward moment problems and optimization, Abstracts from the workshop held March 5-11, 2017, organized by Didier Henrion, Maria Infusino, Salma Kuhlmann, Victor Vinnikov, Oberwolfach Rep. 14/2017 (2017), 21-23. - Polydisperse spherical cap packings

In: Optimal and near optimal configurations on lattices and manifolds, Abstracts from the workshop held August 19-25, 2012, organized by C. Bachoc, P. Grabner, E.B. Saff, and A. Schürmann, Oberwolfach Rep. 40 (2012), 31-33.

*Moment methods in extremal geometry*,

PhD thesis, Delft University of Technology (2016)*Approximating manifolds by meshes: Asymptotic bounds in higher codimension*,

Master's thesis, Advisor: Gert Vegter, University of Groningen (2011), 64 pages*Contractibility and self-intersections of curves on surfaces*,

Bachelor's thesis, Advisor: Gert Vegter, University of Groningen (2009), 43 pages