Eva Bayer‐Fluckiger

ORCID: 0000-0003-1951-8603
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About
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Research Areas
  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Finite Group Theory Research
  • Analytic Number Theory Research
  • Coding theory and cryptography
  • Advanced Differential Equations and Dynamical Systems
  • Polynomial and algebraic computation
  • Commutative Algebra and Its Applications
  • History and Theory of Mathematics
  • Rings, Modules, and Algebras
  • Advanced Algebra and Logic
  • Mathematical Dynamics and Fractals
  • graph theory and CDMA systems
  • Mathematics and Applications
  • Limits and Structures in Graph Theory
  • Geometry and complex manifolds
  • Advanced Wireless Communication Techniques
  • Meromorphic and Entire Functions
  • Advanced Topology and Set Theory
  • Connective tissue disorders research
  • Cryptography and Residue Arithmetic

École Polytechnique Fédérale de Lausanne
2015-2025

Emory University
2013

Tata Institute of Fundamental Research
2004

University of Rome Tor Vergata
2004

Centre National de la Recherche Scientifique
1989-2001

Laboratoire de Mathématiques de Besançon
2001

Laboratoire de Mathématiques
1995-2001

Université de franche-comté
1993-1996

University of Geneva
1983-1989

Institut des Hautes Études Scientifiques
1989

In this correspondence, we present various families of full diversity rotated Z/sup n/-lattice constellations based on algebraic number theory constructions. We are able to give closed-form expressions their minimum product distance using the corresponding properties.

10.1109/tit.2004.825045 article EN IEEE Transactions on Information Theory 2004-03-30

Let \alpha be a Salem number of degree d with 4 \leqslant 18 . We show that if \equiv 0, \ {\rm or}\ 6 \allowbreak{\rm (mod 8)} , then is the dynamical an automorphism complex (non-projective) K3 surface. define notion signature automorphism, and use it to give criterion for numbers 10 realized as such automorphism. The first part paper contains results on isometries lattices.

10.4171/jems/1598 article EN cc-by Journal of the European Mathematical Society 2025-01-30

In this work, we give a bound on performance of any full-diversity lattice constellation constructed from algebraic number fields. We show that most the already available constructions are almost optimal in sense further improvement minimum product distance would lead to negligible coding gain. Furthermore, discuss constructions, distance, and bounds for complex rotated Z[i]/sup n/-lattices dimension n, which avoid need component interleaving.

10.1109/tit.2005.860452 article EN IEEE Transactions on Information Theory 2005-12-28

General methods from [3] are applied to give good upper bounds on the Euclidean minimum of real quadratic fields and totally cyclotomic prime power discriminant.

10.5802/jtnb.500 article EN Journal de Théorie des Nombres de Bordeaux 2005-01-01

We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic ≠2 to contain maximal torus given type.

10.5802/aif.2840 article EN Annales de l’institut Fourier 2014-01-01

Let k be a global field of characteristic not 2, and let f \in k[X] an irreducible polynomial. We show that non-degenerate quadratic space has isometry with minimal polynomial if only such exists over all the completions . This gives partial answer to question Milnor.

10.4171/jems/541 article EN Journal of the European Mathematical Society 2015-06-23

10.1016/j.aim.2019.106818 article EN publisher-specific-oa Advances in Mathematics 2019-09-25

We give necessary and sufficient conditions for an integral polynomial without linear factors to be the characteristic of isometry some even, unimodular lattice given signature. This gives rise Hasse principle questions, which we answer in a more general setting. As application, prove signatures knots.

10.4171/jems/1334 article EN cc-by Journal of the European Mathematical Society 2023-05-03

10.1007/bf02829631 article EN Proceedings - Mathematical Sciences 2003-11-01

10.1016/j.jpaa.2013.06.012 article EN Journal of Pure and Applied Algebra 2013-07-11

We prove that the category of systems sesquilinear forms over a given hermitian is equivalent to unimodular 1-hermitian another category. The are not required be or defined on reflexive object (i.e. standard map from its double dual assumed bijective), and in system can with respect different structures This extends result obtained by E. Bayer-Fluckiger D. Moldovan. use equivalence define Witt ring category, also generalize various results (e.g.: Witt's Cancelation Theorem, Springer's weak...

10.2140/pjm.2014.270.1 article EN Pacific Journal of Mathematics 2014-08-02

The notion of Euclidean minimum a number field is classical one. In this paper, we generalize it to central division algebras and establish some general results in new context.

10.1142/s1793042109002614 article EN International Journal of Number Theory 2009-11-01

10.1016/j.aim.2017.03.012 article EN publisher-specific-oa Advances in Mathematics 2017-03-24

10.1007/bf01232374 article RO Inventiones mathematicae 1996-12-01

10.1016/1385-7258(89)90002-4 article EN publisher-specific-oa Indagationes Mathematicae (Proceedings) 1989-01-01
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