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Preprints

• Solving clustered low-rank semidefinite programs arising from polynomial optimization
  With Nando Leijenhorst
  Preprint (2022), 27 pages, arXiv:2202.12077
• Pair correlation for Dedekind zeta functions of abelian extensions
  With Larry Rolen, Zack Tripp, and Ian Wagner
  Preprint (2019), 16 pages, arXiv:1908.04876
• Optimal densities of packings consisting of highly unequal objects
  Preprint (2016), 6 pages, arXiv:1603.01094

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

• 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

Non-refereed publications

• 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.

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