Publications

Journal publications / Accepted papers

• Six-dimensional sphere packing and linear programming
  Matthew de Courcy-Ireland, Maria Dostert, Maryna Viazovska, Mathematics of Computation,  arXiv:2211.09044.

• Riesz and Green energy on projective spaces
  Austin Anderson, Maria Dostert, Peter J. Grabner, Ryan W. Matzke, Tetiana A. Stepaniuk,  Transactions of the American Mathematical Society (TAMS), accepted for publication.

• Learning polytopes with fixed facet directions
  Maria Dostert, Katharina Jochemko, SIAM Journal on Applied Algebra and Geometry (SIAGA), accepted for publication.

• Packable hyperbolic surfaces with symmetries
  Maria Dostert, Alexander Kolpakov, Canadian Mathematical Bulletin, 1-11, arXiv:2010.12028.

• Exact semidefinite programming bounds for packing problems
  Maria Dostert, David de Laat, Philippe Moustrou, SIAM Journal on Optimization 31(2), 1433-1458, arXiv:2001.00256.

• Kissing number in non-Euclidean space of constant sectional curvature
  Maria Dostert, Alexander Kolpako, Mathematics of Computation 90(2021), 2507-2525, arXiv:2003.05547.

• Semidefinite programming bounds for the average kissing number
  Maria Dostert, Alexander Kolpakov, Fernando Mário de Oliveira Filho,  Israel Journal of Mathematics TBD (2022), 1–25, arXiv:2003.11832.

• New dense superball packings in three dimensions
  Maria Dostert, Frank Vallentin, Advances in Geometry, 20(4), 473-482, arXiv:1806.10878.

• New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry
  Maria Dostert, Cristóbal Guzmán, Fernando Mário de Oliveira Filho, Frank Vallentin, Discrete & Computational Geometry 58 (2017), 449-481, arXiv:1510.02331.

• A Complexity Analysis and an Algorithmic Approach to Student Sectioning in Existing Timetables
  Maria Dostert, Andreas Politz, Heinz Schmitz, Journal of Scheduling volume 19, 285-293 (2016).

Published/accepted papers in refereed proceedings

• Kissing number in non-Euclidean space of constant sectional curvature
  Maria Dostert, Alexander Kolpakov, EUROCOMB 2021, to appear in CRM Research Perspectives

Non-refereed publications

• New upper bounds for the density of translative packings of superballs
  Maria Dostert, In „Lattices and Applications in Number Theory“. Extended Abstracts from the workshop held January 2016. Organized by R. Coulangeon, B. Gross, G. Nebe. Oberwolfach Rep. 3 (2016), 144-146.

Technical reports

• Student Sectioning for Fixed Timetables
  Maria Dostert, Andreas Politz, Heinz Schmitz, March 2013, 19 pages. Computer Science Report 2013-1, Trier University of Applied Sciences, Germany, 2013.

Other publications

• Das Problem der Kugelpackung
  Maria Dostert, Stefan Krupp, Jan Rolfes. Snapshot of modern mathematics. April 2016, 12 pages.

• Die parametrisierte Komplexität des Student Sectioning Problems
  Maria Dostert, March 2013, 15-18. GI-Edition Lecture Notes in Informatics.

Thesis

• Geometric Packings of Non-Spherical Shapes
  PhD thesis, University of Cologne, June 2017, 120 pages.

• Untersuchung der parametrisierten Komplexität des Student Sectioning Problems
  Master thesis, University of Applied Sciences Trier, January 2013, 73 pages.