Renaud Coulangeon

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All published works

Action	Title	Year	Authors
+ PDF Chat	On slopes of isodual lattices	2023	Renaud Coulangeon
+	Renaud COULANGEON - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms 2	2022	Renaud Coulangeon Fanny Bastien
+	On slopes of isodual lattices	2022	Renaud Coulangeon
+ PDF Chat	Local energy optimality of periodic sets	2021	Renaud Coulangeon Achill Schürmann
+	Erratum: Energy Minimization, Periodic Sets, and Spherical Designs	2020	Renaud Coulangeon Achill Schürmann
+ PDF Chat	Slopes of Euclidean lattices, tensor product and group actions	2019	Renaud Coulangeon Gabriele Nebe
+ PDF Chat	Local Energy Optimality of Periodic Sets	2018	Renaud Coulangeon Achill Schürmann
+	Slopes of Euclidean lattices, tensor product and group actions	2018	Renaud Coulangeon Gabriele Nebe
+	Slopes of Euclidean lattices, tensor product and group actions	2018	Renaud Coulangeon Gabriele Nebe
+	Local Energy Optimality of Periodic Sets	2018	Renaud Coulangeon Achill Schürmann
+	Lattices and Applications in Number Theory	2016	Renaud Coulangeon Benedict H. Gross Gabriele Nebe
+ PDF Chat	Maximal finite subgroups and minimal classes	2015	Renaud Coulangeon Gabriele Nebe
+	Computing in arithmetic groups with Voronoï's algorithm	2015	Oliver Braun Renaud Coulangeon Gabriele Nebe Sebastian Schönnenbeck
+ PDF Chat	Perfect lattices over imaginary quadratic number fields	2014	Oliver Braun Renaud Coulangeon
+	Computing in arithmetic groups with Voronoi's algorithm	2014	Oliver Braun Renaud Coulangeon Gabriele Nebe Sebastian Schoennenbeck
+	Spherical designs and heights of Euclidean lattices	2014	Renaud Coulangeon Giovanni Lazzarini
+	Spherical Designs and Heights of Euclidean Lattices	2014	Renaud Coulangeon Giovanni Lazzarini
+ PDF Chat	Maximal finite subgroups and minimal classes	2014	Renaud Coulangeon Gabriele Nebe
+	Spherical Designs and Heights of Euclidean Lattices	2014	Renaud Coulangeon Giovanni Lazzarini
+	Computing in arithmetic groups with Voronoi's algorithm	2014	Oliver Braun Renaud Coulangeon Gabriele Nebe Sebastian Schoennenbeck
+	Dense lattices as Hermitian tensor products	2013	Renaud Coulangeon Gabriele Nebe
+	Maximal finite subgroups and minimal classes	2013	Renaud Coulangeon Gabriele Nebe
+	The unreasonable effectiveness of the tensor product	2012	Renaud Coulangeon Gabriele Nebe
+ PDF Chat	Energy Minimization, Periodic Sets and Spherical Designs	2011	Renaud Coulangeon Achill Schürmann
+	ON EPSTEIN'S ZETA FUNCTION OF HUMBERT FORMS	2008	Renaud Coulangeon
+	On Epstein'S zeta function of Humbert forms	2008	Renaud Coulangeon
+ PDF Chat	Lenstra's Constant and Extreme Forms in Number Fields	2007	Renaud Coulangeon María Inés Icaza Manuel O’Ryan
+	Spherical designs and zeta functions of lattices	2006	Renaud Coulangeon
+ PDF Chat	Spherical designs and zeta functions of lattices	2006	Renaud Coulangeon
+ PDF Chat	Hermite constant and Voronoï theory over a quaternion skew field.	2006	Renaud Coulangeon Takao Watanabe
+	Document de synthèse en vue de l'Habilitation à Diriger des Recherches	2005	Renaud Coulangeon
+	Codes and designs in Grassmannian spaces	2003	Christine Bachoc Eiichi Bannaĭ Renaud Coulangeon
+ PDF Chat	None	2002	Christine Bachoc Renaud Coulangeon Gabriele Nebe
+ PDF Chat	Hermite's Constant for Quadratic Number Fields	2001	Ricardo Baeza Renaud Coulangeon María Inés Icaza Manuel Q'Ryan
+ PDF Chat	Tensor products of hermitian lattices	2000	Renaud Coulangeon
+	Minimal Vectors in the Second Exterior Power of a Lattice	1997	Renaud Coulangeon
+	Réseaux <i>k</i> -Extrêmes	1996	Renaud Coulangeon
+ PDF Chat	Réseaux unimodulaires quaternioniens en dimension ≤ 32	1995	Renaud Coulangeon
+	Réseaux quaternioniens et invariant de Venkov	1994	Renaud Coulangeon
+	Réseaux quaternioniens et problèmes de densité	1994	Renaud Coulangeon

Common Coauthors

Coauthor	Papers Together
Gabriele Nebe	13
Achill Schürmann	5
Oliver Braun	4
Giovanni Lazzarini	3
María Inés Icaza	2
Sebastian Schoennenbeck	2
Christine Bachoc	2
Eiichi Bannaĭ	1
Fanny Bastien	1
Sebastian Schönnenbeck	1
Manuel O’Ryan	1
Takao Watanabe	1
Ricardo Baeza	1
Benedict H. Gross	1
Manuel Q'Ryan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Perfect Lattices in Euclidean Spaces	2002	Jacques Martinet	7
+	Minima of Epstein’s Zeta function and heights of flat tori	2006	Peter Sarnak Andreas Strömbergsson	6
+	Symmetric Bilinear Forms	1973	John Milnor Dale Husemöller	5
+	Perfect Lattices in Euclidean Spaces	2003	Jacques Martinet	5
+	Universally optimal distribution of points on spheres	2006	Henry Cohn Abhinav Kumar	4
+	Introduction to Quadratic Forms	1973	O. T. O’Meara	4
+	Arithmetic of Quadratic Forms	1993	Yoshiyuki Kitaoka	4
+ PDF Chat	Dual Cones and the Voronoi Algorithm	2001	Jürgen Opgenorth	4
+	Small-dimensional classifying spaces for arithmetic subgroups of general linear groups	1984	Avner Ash	4
+ PDF Chat	Scalar extension of quadratic lattices	1977	Yoshiyuki Kitaoka	4
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	4
+	Computational Geometry of Positive Definite Quadratic Forms	2008	Achill Schürmann	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+	Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier mémoire. Sur quelques propriétés des formes quadratiques positives parfaites.	1908	Georges Voronoï	4
+	Hermite Constant and Extreme Forms for Algebraic Number Fields	1997	María Inés Icaza	4
+	Concerning the semistability of tensor products in Arakelov geometry	2012	Jean-Benoît Bost Huayi Chen	3
+	Reduction theory using semistability	1984	Daniel R. Grayson	3
+ PDF Chat	Notes on two lemmas concerning the Epstein zeta-function	1964	P. H. Diananda	3
+ PDF Chat	Hermite's Constant for Quadratic Number Fields	2001	Ricardo Baeza Renaud Coulangeon María Inés Icaza Manuel Q'Ryan	3
+ PDF Chat	On a problem of Rankin about the Epstein zeta-function	1959	J. W. S. Cassels	3
+ PDF Chat	A Minimum Problem for the Epstein Zeta-Function	1953	R. A. Rankin	3
+	Réseaux <i>k</i> -Extrêmes	1996	Renaud Coulangeon	3
+	Systole et invariant d'Hermite.	1997	Christophe Bavard	3
+	The cohomology of SL3(Z)	1978	Christophe Soulé	3
+	Representation Theory: A First Course	1991	William Fulton	3
+	Projective Invariants of Projective Structures and Applications	2004	David Mumford	3
+	Representations and invariants of the classical groups	1998	Roe Goodman Nolan R. Wallach	3
+ PDF Chat	The strongly perfect lattices of dimension $10$	2000	Gabriele Nebe Boris Venkov	3
+	On Positive Definite Quadratic Forms	1953	R. A. Rankin	3
+	Computing Isometries of Lattices	1997	Wilhelm Plesken B. Souvignier	3
+ PDF Chat	On nef and semistable hermitian lattices, and their behaviour under tensor product	2011	Yves André	3
+	Low dimensional strongly perfect lattices. I: The 12-dimensional case	2005	Gabriele Nebe Boris Venkov	3
+	Eine Bemerkung zur Reduktionstheorie quadratischer Formen	1976	Ulrich Stuhler	3
+	Presentations of the unit group of an order in a non-split quaternion algebra	2003	Capi Corrales Eric Jespers Guilherme Leal Ángel del Rı́o	2
+ PDF Chat	A numerical survey of the floors of various Hilbert fundamental domains	1965	Harvey Cohn	2
+	On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane)	1994	Peter Buser Peter Sarnak	2
+	The Cohomology of SL(3, ℤ[1/2])	1999	Hans-Werner Henn	2
+	Zur Reduktionstheorie der positiven quadratischen Formen II	1977	Ulrich Stuhler	2
+ PDF Chat	On Humbert-Minkowski’s constant for a number field	1997	Ricardo Baeza María Inés Icaza	2
+	Minima, pentes et algèbre tensorielle	2012	Éric Gaudron Gaël Rémond	2
+	The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions	1980	Audrey Terras	2
+ PDF Chat	Extremal lattices of minimum 8 related to the Mathieu Group M22	1998	Christine Bachoc Gabriele Nebe	2
+ PDF Chat	Le Spectre D'une Variété Riemannienne	1971	Marcel Berger Paul Gauduchon Edmond Mazet	2
+ PDF Chat	Sur les formes quadratiques positives	1877	A. Korkine G. Zolotareff	2
+	Space of Unitary Vector Bundles on a Compact Riemann Surface	1967	C. S. Seshadri	2
+	Generators and relations for certain special linear groups	1971	Richard G. Swan	2
+	Théorie de la réduction des formes quadratiques définies positives dans un corps algébriqueK fini	1939	Pierre Humbert	2
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	2
+	On Zeta Functions of Quaternion Algebras	1965	Hideo Shimizu	2
+	The integral homology of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>PS</mml:mi></mml:mstyle><mml:msub><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>L</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> of imaginary quadratic integers with nontrivial class group	2010	Alexander Rahm Mathias Fuchs	2