Preprints
- Optimality of spherical codes via exact semidefinite programming bounds
With Henry Cohn and Nando Leijenhorst
Preprint (2024), 32 pages, arXiv:2403.16874
- Multiplicity of nontrivial zeros of primitive L-functions via
higher-level correlations
With Felipe Gonçalves and Nando Leijenhorst
Preprint (2023), 15 pages, arXiv:2303.01095
- The Lasserre hierarchy for equiangular lines with a fixed angle
With Fabrício Caluza Machado and Willem de Muinck Keizer
Preprint (2022), 24 pages, arXiv:2211.16471
- Three-point bounds for sphere packing
With Henry Cohn and Andrew Salmon
Preprint (2022), 37 pages, arXiv:2206.15373
- Solving clustered low-rank semidefinite programs arising from polynomial optimization
With Nando Leijenhorst
Preprint (2022), 27 pages, arXiv:2202.12077
Journal papers
- Exact semidefinite programming bounds for packing problems
With Maria Dostert and Philippe Moustrou
SIAM J. Optim. 31(2) (2021), 1433-1458, arXiv:2001.00256
- k-point semidefinite programming bounds for equiangular lines
With Fabrício Caluza Machado, Fernando Mário de Oliveira Filho, Frank Vallentin
Math. Program. (2021), arXiv:1812.06045
- 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. 12 (2020) 66, arXiv:2006.02560
- Pair correlation estimates for the zeros of the zeta-function via semidefinite programming
With Andrés Chirre and Felipe Gonçalves
Adv. Math. 361 (2020), 106926, arXiv:1810.08843
- Moment methods in energy minimization: New bounds for Riesz minimal energy problems
Trans. Amer. Math. Soc. 373 (2020), 1407-1453, arXiv:1610.04905
- Lower bounds on matrix factorization ranks via noncommutative polynomial optimization
With Sander Gribling and Monique Laurent
Found. Comput. Math. 19 (2019), 1013–1070, arXiv:1708.01573
- Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization
With Sander Gribling and Monique Laurent
Math. Program. 170 (2018), 5-42, 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. 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
Expositions
Non-refereed publications
- Three-point bounds for sphere packing
In: Conic Linear Optimization for Computer-Assisted Proofs, Abstracts from the workshop held April 10-16, 2022, organized by Etienne de Klerk, Didier Henrion, Frank Vallentin, Angelika Wiegele, Oberwolfach Rep. 20/2022 (2022), 17-20.
- Exploiting symmetry in conic optimization
In: Conic Linear Optimization for Computer-Assisted Proofs, Abstracts from the workshop held April 10-16, 2022, organized by Etienne de Klerk, Didier Henrion, Frank Vallentin, Angelika Wiegele, Oberwolfach Rep. 20/2022 (2022), 17-20.
- Pair correlation for Dedekind zeta functions of abelian extensions
With Larry Rolen, Zack Tripp, and Ian Wagner
Preprint (2019), 16 pages, arXiv:1908.04876
- 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.
- Optimal densities of packings consisting of highly unequal objects
Preprint (2016), 6 pages, arXiv:1603.01094
- 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.
Theses
- 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