×
Author ID: schurmann.achill Recent zbMATH articles by "Schürmann, Achill"
Published as: Schürmann, Achill; Schürmann, A.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 380 times in 266 Documents Cited by Year
Computational geometry of positive definite quadratic forms. Polyhedral reduction theories, algorithms, and applications. Zbl 1185.52016
Schürmann, Achill
38
2009
Experimental study of energy-minimizing point configurations on spheres. Zbl 1185.68771
Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill
34
2009
Classification of eight-dimensional perfect forms. Zbl 1186.11039
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
24
2007
Complexity and algorithms for computing Voronoi cells of lattices. Zbl 1215.11067
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
24
2009
Ehrhart polynomials and successive minima. Zbl 1105.52011
Henk, Martin; Schürmann, Achill; Wills, Jörg M.
21
2005
Energy minimization, periodic sets and spherical designs. Zbl 1272.49004
Coulangeon, Renaud; Schürmann, Achill
19
2012
Computing symmetry groups of polyhedra. Zbl 1351.52009
Bremmer, David; Dutour Sikirić, Mathieu; Pasechnik, Dmitrii V.; Rehn, Thomas; Schürmann, Achill
17
2014
Exploiting polyhedral symmetries in social choice. Zbl 1288.91076
Schürmann, Achill
16
2013
Polyhedral representation conversion up to symmetries. Zbl 1170.68621
Bremner, David; Dutour Sikirić, Mathieu; Schürmann, Achill
15
2009
Computational approaches to lattice packing and covering problems. Zbl 1091.52009
Schürmann, Achill; Vallentin, Frank
14
2006
On the cohomology of linear groups over imaginary quadratic fields. Zbl 1408.11051
Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan
13
2016
A generalization of Voronoi’s reduction theory and its application. Zbl 1186.11040
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
11
2008
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063
Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara
9
2016
Enumerating perfect forms. Zbl 1209.11063
Schürmann, Achill
9
2009
On the integral homology of \(\text{PSL}_4(\mathbb Z)\) and other arithmetic groups. Zbl 1255.11028
Dutour Sikirić, Mathieu; Ellis, Graham; Schürmann, Achill
8
2011
Exploiting symmetry in integer convex optimization using core points. Zbl 1286.90097
Herr, Katrin; Rehn, Thomas; Schürmann, Achill
8
2013
Rational factorizations of completely positive matrices. Zbl 1369.90121
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
7
2017
Inhomogeneous extreme forms. (Formes inhomogènes extrêmes.) Zbl 1309.11057
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
7
2012
Bounds on generalized Frobenius numbers. Zbl 1239.11024
Fukshansky, Lenny; Schürmann, Achill
7
2011
On extremal finite packings. Zbl 1024.52008
Schürmann, Achill
6
2002
Formal duality and generalizations of the Poisson summation formula. Zbl 1331.05056
Cohn, Henry; Kumar, Abhinav; Reiher, Christian; Schürmann, Achill
6
2014
Bases of minimal vectors in lattices. III. Zbl 1292.11078
Martinet, Jacques; Schürmann, Achill
6
2012
Perfect, strongly eutactic lattices are periodic extreme. Zbl 1201.52018
Schürmann, Achill
6
2010
Local covering optimality of lattices: Leech lattice versus root lattice \(E_8\). Zbl 1156.11324
Schürmann, Achill; Vallentin, Frank
5
2005
Smoothness and singularities of the perfect form and the second Voronoi compactification of \(\mathcal A_g\). Zbl 1337.14036
Dutour Sikirić, Mathieu; Hulek, Klaus; Schürmann, Achill
5
2015
The contact polytope of the Leech lattice. Zbl 1204.52015
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
5
2010
Point configurations that are asymmetric yet balanced. Zbl 1201.52017
Cohn, Henry; Elkies, Noam D.; Kumar, Abhinav; Schürmann, Achill
5
2010
A simplex algorithm for rational cp-factorization. Zbl 1465.90059
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
4
2021
Exploiting symmetries in polyhedral computations. Zbl 1273.90127
Schürmann, Achill
4
2013
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
On lattice-free orbit polytopes. Zbl 1325.52010
Herr, Katrin; Rehn, Thomas; Schürmann, Achill
4
2014
C++ tools for exploiting polyhedral symmetries. Zbl 1295.52020
Rehn, Thomas; Schürmann, Achill
4
2010
On classifying Minkowskian sublattices. With an Appendix by Mathieu Dutour Sikirić. Zbl 1329.11071
Keller, Wolfgang; Martinet, Jacques; Schürmann, Achill
3
2012
Three-dimensional antipodal and norm-equilateral sets. Zbl 1126.52019
Schürmann, Achill; Swanepoel, Konrad J.
3
2006
Local energy optimality of periodic sets. Zbl 1472.82004
Coulangeon, Renaud; Schürmann, Achill
2
2021
On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers. Zbl 1412.19003
Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan
2
2019
Strict periodic extreme lattices. Zbl 1298.11066
Schürmann, Achill
2
2013
Local formulas for Ehrhart coefficients from lattice tiles. Zbl 1436.52017
Ring, Maren H.; Schürmann, Achill
1
2020
On parametric density of finite circle packings. Zbl 0974.52017
Schürmann, Achill
1
2000
A discrete isoperimetric inequality and its application to sphere packings. Zbl 1077.52514
Scholl, Peter; Schürmann, Achill; Wills, Jörg M.
1
2003
A simplex algorithm for rational cp-factorization. Zbl 1465.90059
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
4
2021
Local energy optimality of periodic sets. Zbl 1472.82004
Coulangeon, Renaud; Schürmann, Achill
2
2021
Local formulas for Ehrhart coefficients from lattice tiles. Zbl 1436.52017
Ring, Maren H.; Schürmann, Achill
1
2020
On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers. Zbl 1412.19003
Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan
2
2019
Rational factorizations of completely positive matrices. Zbl 1369.90121
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
7
2017
On the cohomology of linear groups over imaginary quadratic fields. Zbl 1408.11051
Dutour Sikirić, Mathieu; Gangl, Herbert; Gunnells, Paul E.; Hanke, Jonathan; Schürmann, Achill; Yasaki, Dan
13
2016
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063
Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara
9
2016
Smoothness and singularities of the perfect form and the second Voronoi compactification of \(\mathcal A_g\). Zbl 1337.14036
Dutour Sikirić, Mathieu; Hulek, Klaus; Schürmann, Achill
5
2015
Computing symmetry groups of polyhedra. Zbl 1351.52009
Bremmer, David; Dutour Sikirić, Mathieu; Pasechnik, Dmitrii V.; Rehn, Thomas; Schürmann, Achill
17
2014
Formal duality and generalizations of the Poisson summation formula. Zbl 1331.05056
Cohn, Henry; Kumar, Abhinav; Reiher, Christian; Schürmann, Achill
6
2014
On lattice-free orbit polytopes. Zbl 1325.52010
Herr, Katrin; Rehn, Thomas; Schürmann, Achill
4
2014
Exploiting polyhedral symmetries in social choice. Zbl 1288.91076
Schürmann, Achill
16
2013
Exploiting symmetry in integer convex optimization using core points. Zbl 1286.90097
Herr, Katrin; Rehn, Thomas; Schürmann, Achill
8
2013
Exploiting symmetries in polyhedral computations. Zbl 1273.90127
Schürmann, Achill
4
2013
Strict periodic extreme lattices. Zbl 1298.11066
Schürmann, Achill
2
2013
Energy minimization, periodic sets and spherical designs. Zbl 1272.49004
Coulangeon, Renaud; Schürmann, Achill
19
2012
Inhomogeneous extreme forms. (Formes inhomogènes extrêmes.) Zbl 1309.11057
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
7
2012
Bases of minimal vectors in lattices. III. Zbl 1292.11078
Martinet, Jacques; Schürmann, Achill
6
2012
On classifying Minkowskian sublattices. With an Appendix by Mathieu Dutour Sikirić. Zbl 1329.11071
Keller, Wolfgang; Martinet, Jacques; Schürmann, Achill
3
2012
On the integral homology of \(\text{PSL}_4(\mathbb Z)\) and other arithmetic groups. Zbl 1255.11028
Dutour Sikirić, Mathieu; Ellis, Graham; Schürmann, Achill
8
2011
Bounds on generalized Frobenius numbers. Zbl 1239.11024
Fukshansky, Lenny; Schürmann, Achill
7
2011
Perfect, strongly eutactic lattices are periodic extreme. Zbl 1201.52018
Schürmann, Achill
6
2010
The contact polytope of the Leech lattice. Zbl 1204.52015
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
5
2010
Point configurations that are asymmetric yet balanced. Zbl 1201.52017
Cohn, Henry; Elkies, Noam D.; Kumar, Abhinav; Schürmann, Achill
5
2010
C++ tools for exploiting polyhedral symmetries. Zbl 1295.52020
Rehn, Thomas; Schürmann, Achill
4
2010
Computational geometry of positive definite quadratic forms. Polyhedral reduction theories, algorithms, and applications. Zbl 1185.52016
Schürmann, Achill
38
2009
Experimental study of energy-minimizing point configurations on spheres. Zbl 1185.68771
Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill
34
2009
Complexity and algorithms for computing Voronoi cells of lattices. Zbl 1215.11067
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
24
2009
Polyhedral representation conversion up to symmetries. Zbl 1170.68621
Bremner, David; Dutour Sikirić, Mathieu; Schürmann, Achill
15
2009
Enumerating perfect forms. Zbl 1209.11063
Schürmann, Achill
9
2009
A generalization of Voronoi’s reduction theory and its application. Zbl 1186.11040
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
11
2008
Classification of eight-dimensional perfect forms. Zbl 1186.11039
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
24
2007
Computational approaches to lattice packing and covering problems. Zbl 1091.52009
Schürmann, Achill; Vallentin, Frank
14
2006
Three-dimensional antipodal and norm-equilateral sets. Zbl 1126.52019
Schürmann, Achill; Swanepoel, Konrad J.
3
2006
Ehrhart polynomials and successive minima. Zbl 1105.52011
Henk, Martin; Schürmann, Achill; Wills, Jörg M.
21
2005
Local covering optimality of lattices: Leech lattice versus root lattice \(E_8\). Zbl 1156.11324
Schürmann, Achill; Vallentin, Frank
5
2005
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
A discrete isoperimetric inequality and its application to sphere packings. Zbl 1077.52514
Scholl, Peter; Schürmann, Achill; Wills, Jörg M.
1
2003
On extremal finite packings. Zbl 1024.52008
Schürmann, Achill
6
2002
On parametric density of finite circle packings. Zbl 0974.52017
Schürmann, Achill
1
2000
all top 5

Cited by 362 Authors

25 Dutour-Sikiric, Mathieu
18 Schürmann, Achill
14 Bétermin, Laurent
10 Henk, Martin
9 Fukshansky, Lenny
8 Bruns, Winfried
8 Vallentin, Frank
8 Yasaki, Dan
7 Böröczky, Karoly jun.
6 Gunnells, Paul E.
6 Hardin, Douglas P.
6 Saff, Edward Barry
5 Deza, Michel Marie
5 Garcia, Stephan Ramon
5 Gruber, Peter Manfred
5 Ichim, Bogdan
4 Bannai, Eiichi
4 Böttcher, Albrecht
4 Gangl, Herbert
4 Hulek, Klaus
4 Ladisch, Frieder
4 Linke, Eva
4 Mirebeau, Jean-Marie
4 Nebe, Gabriele
4 Rehn, Thomas
4 Söger, Christof
3 Ash, Avner
3 Bannai, Etsuko
3 Berman, Abraham S.
3 Boĭvalenkov, Pet”r Georgiev
3 Bui, Anh Tuan
3 Coulangeon, Renaud
3 Dragnev, Peter D.
3 El Ouafdi, Abdelhalim
3 Ellis, Graham J.
3 Garber, Alexeĭ Igorevich
3 Grushevsky, Samuel
3 Herr, Katrin
3 Joswig, Michael
3 Kallus, Yoav
3 Knüpfer, Hans
3 Lepelley, Dominique
3 Maharaj, Hiren
3 Martinet, Jacques
3 McConnell, Mark
3 Milanič, Martin
3 Miller, Jeremy A.
3 Moyouwou, Issofa
3 Paffenholz, Andreas
3 Patzt, Peter
3 Petrache, Mircea
3 Rahm, Alexander Daniel
3 Schüler, Robert
3 Shaked-Monderer, Naomi
3 Smaoui, Hatem
3 Stoyanova, Maya M.
3 Swanepoel, Konrad J.
3 Yang, Qi
3 Zong, Chuanming
2 Bondarenko, Andriy V.
2 Bonnans, Joseph Frédéric
2 Bonnet, Guillaume
2 Brauchart, Johann S.
2 Braun, Oliver
2 Cohn, Henry Lee
2 de Klerk, Etienne
2 Ducas, Léo
2 Edelsbrunner, Herbert
2 Ehler, Martin
2 Faulhuber, Markus
2 Friese, Erik
2 Gibbons, Shane
2 Grishukhin, Vyacheslav Petrovich
2 Gulomov, Otabek Khudaĭberdievich
2 Haase, Christian Alexander
2 Hanke, Jonathan P.
2 Hibi, Takayuki
2 Higashitani, Akihiro
2 Hirao, Masatake
2 Hu, Sihuang
2 Kamiński, Marcin Marek
2 Kumar, Abhinav
2 Kummer, Mario Denis
2 Laffey, Thomas J.
2 Li, Shuxing
2 Magazinov, Alexander Nikolaevich
2 Martini, Horst
2 Medvedev, Paul
2 Mixon, Dustin G.
2 Moyano Fernández, Julio José
2 Ohsugi, Hidefumi
2 Osting, Braxton
2 Papp, Dávid
2 Pfetsch, Marc E.
2 Pollehn, Hannes
2 Pott, Alexander
2 Sawa, Masanori
2 Schönnenbeck, Sebastian
2 Schymura, Matthias
2 Šmigoc, Helena
...and 262 more Authors
all top 5

Cited in 127 Serials

14 Discrete & Computational Geometry
12 Advances in Mathematics
7 Mathematics of Computation
7 European Journal of Combinatorics
7 SIAM Journal on Discrete Mathematics
6 Proceedings of the American Mathematical Society
6 Linear Algebra and its Applications
6 Journal de Théorie des Nombres de Bordeaux
5 Constructive Approximation
5 The Electronic Journal of Combinatorics
5 SIAM Journal on Applied Algebra and Geometry
4 Transactions of the American Mathematical Society
4 Journal of Symbolic Computation
4 Mathematical Programming. Series A. Series B
4 Experimental Mathematics
4 Journal of Algebraic Combinatorics
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 Journal of Algebra
3 Journal of Combinatorial Theory. Series A
3 Journal of Number Theory
3 Advances in Applied Mathematics
3 International Journal of Number Theory
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Homotopy and Related Structures
3 Mathematical Programming Computation
2 Discrete Applied Mathematics
2 Periodica Mathematica Hungarica
2 Beiträge zur Algebra und Geometrie
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 Monatshefte für Mathematik
2 Mathematical Social Sciences
2 Acta Mathematica Hungarica
2 Social Choice and Welfare
2 Graphs and Combinatorics
2 Journal of Complexity
2 Annals of Operations Research
2 SIAM Journal on Optimization
2 Advances in Computational Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Cryptography and Communications
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal of Graph Theory
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Theory and Decision
1 Combinatorica
1 Algorithmica
1 Journal of the American Mathematical Society
1 Computational Geometry
1 Designs, Codes and Cryptography
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Aequationes Mathematicae
1 Elemente der Mathematik
1 L’Enseignement Mathématique. 2e Série
1 European Journal of Operational Research
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Computational Optimization and Applications
1 Journal of Algebraic Geometry
1 Acta Universitatis Matthiae Belii. Series Mathematics
1 Journal of Convex Analysis
1 Selecta Mathematica. New Series
1 Engineering Analysis with Boundary Elements
1 Izvestiya: Mathematics
...and 27 more Serials
all top 5

Cited in 49 Fields

118 Convex and discrete geometry (52-XX)
82 Number theory (11-XX)
53 Combinatorics (05-XX)
36 Operations research, mathematical programming (90-XX)
31 Group theory and generalizations (20-XX)
20 Computer science (68-XX)
16 Algebraic geometry (14-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Information and communication theory, circuits (94-XX)
13 Partial differential equations (35-XX)
13 Numerical analysis (65-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Commutative algebra (13-XX)
8 Geometry (51-XX)
7 Associative rings and algebras (16-XX)
7 Algebraic topology (55-XX)
7 Mechanics of deformable solids (74-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 \(K\)-theory (19-XX)
5 Quantum theory (81-XX)
4 Potential theory (31-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 Manifolds and cell complexes (57-XX)
3 Probability theory and stochastic processes (60-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Abstract harmonic analysis (43-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year