Computational geometry of positive definite quadratic forms: polyhedral reduction theories, algorithms, and applications A Schürmann Amer Mathematical Society, 2009 | 133* | 2009 |
Experimental study of energy-minimizing point configurations on spheres B Ballinger, G Blekherman, H Cohn, N Giansiracusa, E Kelly, ... Experimental Mathematics 18 (3), 257-283, 2009 | 90 | 2009 |
Classification of eight-dimensional perfect forms M Sikirić, A Schürmann, F Vallentin Electronic research announcements of the american mathematical society 13 (3 …, 2007 | 84 | 2007 |
Complexity and algorithms for computing Voronoi cells of lattices MD Sikiric, A Schürmann, F Vallentin Mathematics of computation 78 (267), 1713-1731, 2009 | 83 | 2009 |
Ehrhart polynomials and successive minima M Henk, A Schürmann, JM Wills Mathematika 52 (1-2), 1-16, 2005 | 72 | 2005 |
Polyhedral representation conversion up to symmetries D Bremner, MD Sikiric, A Schürmann arXiv preprint math/0702239, 2007 | 63 | 2007 |
Computational approaches to lattice packing and covering problems A Schurmann, F Vallentin Discrete & Computational Geometry 35, 73-116, 2006 | 54 | 2006 |
Computing symmetry groups of polyhedra D Bremner, MD Sikirić, DV Pasechnik, T Rehn, A Schürmann LMS Journal of computation and mathematics 17 (1), 565-581, 2014 | 47 | 2014 |
Ground states and formal duality relations in the Gaussian core model H Cohn, A Kumar, A Schürmann Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80 (6 …, 2009 | 41 | 2009 |
Energy minimization, periodic sets and spherical designs R Coulangeon, A Schürmann International Mathematics Research Notices 2012 (4), 829-848, 2012 | 40 | 2012 |
Problems from the cottonwood room M Beck, B Chen, L Fukshansky, C Haase, A Knutson, B Reznick, ... | 38 | 2005 |
Exploiting polyhedral symmetries in social choice A Schürmann Social Choice and Welfare 40 (4), 1097-1110, 2013 | 36 | 2013 |
A generalization of Voronoi's reduction theory and its application MD Sikirić, A Schürmann, F Vallentin Duke Mathematical Journal 142 (1), 127-164, 2008 | 35 | 2008 |
Bounds on generalized Frobenius numbers L Fukshansky, A Schürmann European Journal of Combinatorics 32 (3), 361-368, 2011 | 32 | 2011 |
On the cohomology of linear groups over imaginary quadratic fields MD Sikirić, H Gangl, PE Gunnells, J Hanke, A Schuermann, D Yasaki Journal of pure and applied algebra 220 (7), 2564-2589, 2016 | 30 | 2016 |
The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices M Dutour Sikirić, A Garber, A Schürmann, C Waldmann Acta Crystallographica Section A: Foundations and Advances 72 (6), 673-683, 2016 | 28 | 2016 |
Enumerating perfect forms A Schürmann Contemporary Mathematics 493, 359, 2009 | 27 | 2009 |
On extremal finite packings Schürmann Discrete & Computational Geometry 28, 389-403, 2002 | 21 | 2002 |
Exploiting symmetry in integer convex optimization using core points K Herr, T Rehn, A Schürmann Operations Research Letters 41 (3), 298-304, 2013 | 20 | 2013 |
Bases of minimal vectors in lattices, III J Martinet, A Schürmann International Journal of Number Theory 8 (02), 551-567, 2012 | 20 | 2012 |