Pierre-Jean Spaenlehauer

Available identifiers

zbMath Open spaenlehauer.pierre-jeanMaRDI QIDQ285439

List of research outcomes

Publication	Date of Publication	Type
Dimension results for extremal-generic polynomial systems over complete toric varieties	2024-03-14	Paper
Counting points on genus-3 hyperelliptic curves with explicit real multiplication	2023-08-02	Paper
Refined Analysis of the Asymptotic Complexity of the Number Field Sieve	2020-07-06	Paper
A fast randomized geometric algorithm for computing Riemann-Roch spaces	2020-06-15	Paper
Improved complexity bounds for counting points on hyperelliptic curves	2019-06-06	Paper
A Polyhedral Method for Sparse Systems with Many Positive Solutions	2019-02-20	Paper
Critical Point Computations on Smooth Varieties	2017-05-10	Paper
Computing Small Certificates of Inconsistency of Quadratic Fewnomial Systems	2017-05-10	Paper
A quadratically convergent algorithm for structured low-rank approximation	2016-05-19	Paper
Sparse Gröbner bases	2015-11-11	Paper
Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes	2015-10-19	Paper
Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology	2015-09-17	Paper
Exact Solutions in Structured Low-Rank Approximation	2015-04-21	Paper
Critical points and Gröbner bases	2015-03-27	Paper
On the Complexity of Computing Critical Points with Gröbner Bases	2014-12-12	Paper
On the complexity of the generalized MinRank problem	2014-01-08	Paper
On the complexity of solving quadratic Boolean systems	2013-01-14	Paper
Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree \((1,1)\): algorithms and complexity	2011-03-09	Paper
Algebraic Cryptanalysis of the PKC’2009 Algebraic Surface Cryptosystem	2010-05-28	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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