Xavier Caruso

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 41

Top Topics

Differential Equations

Efficient Computation

Previously Studied

Algebraic Geometry

Top Venues

LMS J. Comput. Math.

J. Symb. Comput.

Publications

Elena Berardini, Xavier Caruso
Reed-Muller codes in the sum-rank metric. CoRR (2024)
Xavier Caruso, Quentin Gazda
Computation of classical and v-adic L-series of t-motives. CoRR (2024)
Elena Berardini, Xavier Caruso
Algebraic Geometry Codes in the Sum-Rank Metric. IEEE Trans. Inf. Theory 70 (5) (2024)
David Ayotte, Xavier Caruso, Antoine Leudière, Joseph Musleh
Drinfeld modules in SageMath. CoRR (2023)
Alin Bostan, Xavier Caruso, Julien Roques
Algebraic solutions of linear differential equations: an arithmetic approach. CoRR (2023)
Xavier Caruso, Amaury Durand
Duals of linearized Reed-Solomon codes. Des. Codes Cryptogr. 91 (1) (2023)
Elena Berardini, Xavier Caruso
Algebraic Geometry codes in the sum-rank metric. CoRR (2023)
David Ayotte, Xavier Caruso, Antoine Leudière, Joseph Musleh
Drinfeld Modules in SageMath. ACM Commun. Comput. Algebra 57 (2) (2023)
Boris Adamczewski, Alin Bostan, Xavier Caruso
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products. CoRR (2023)
Xavier Caruso, Antoine Leudière
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules. CoRR (2023)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
On Polynomial Ideals And Overconvergence In Tate Algebras. CoRR (2022)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
On Polynomial Ideals and Overconvergence in Tate Algebras. ISSAC (2022)
Xavier Caruso, Amaury Durand
Duals of linearized Reed-Solomon codes. CoRR (2021)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
On FGLM Algorithms with Tate Algebras. ISSAC (2021)
Xavier Caruso, Marc Mezzarobba, Nobuki Takayama, Tristan Vaccon
Fast evaluation of some p-adic transcendental functions. CoRR (2021)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
On FGLM Algorithms with Tate Algebras. CoRR (2021)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Signature-based algorithms for Gr{ö}bner bases over Tate algebras. CoRR (2020)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Signature-based algorithms for Gröbner bases over tate algebras. ISSAC (2020)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Gröbner Bases Over Tate Algebras. ISSAC (2019)
Xavier Caruso
Residues of skew rational functions and linearized Goppa codes. CoRR (2019)
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Gr{ö}bner bases over Tate algebras. CoRR (2019)
Xavier Caruso, David Roe, Tristan Vaccon
ZpL: a p-adic precision package. CoRR (2018)
Xavier Caruso, Amaury Durand
Reed-Solomon-Gabidulin Codes. CoRR (2018)
Alin Bostan, Xavier Caruso, Gilles Christol, Philippe Dumas
Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic. CoRR (2018)
Xavier Caruso, David Roe, Tristan Vaccon
ZpL: a p-adic Precision Package. ISSAC (2018)
Xavier Caruso, David Roe, Tristan Vaccon
Characteristic Polynomials of p-adic Matrices. ISSAC (2017)
Xavier Caruso, Jérémy Le Borgne
A new faster algorithm for factoring skew polynomials over finite fields. J. Symb. Comput. 79 (2017)
Xavier Caruso
Computations with p-adic numbers. CoRR (2017)
Xavier Caruso, Jérémy Le Borgne
Fast multiplication for skew polynomials. CoRR (2017)
Xavier Caruso, Jérémy Le Borgne
Fast Multiplication for Skew Polynomials. ISSAC (2017)
Xavier Caruso, David Roe, Tristan Vaccon
Characteristic polynomials of p-adic matrices. CoRR (2017)
Alin Bostan, Xavier Caruso, Éric Schost
Computation of the Similarity Class of the p-Curvature. CoRR (2016)
Alin Bostan, Xavier Caruso, Éric Schost
Computation of the Similarity Class of the p-Curvature. ISSAC (2016)
Xavier Caruso, David Roe, Tristan Vaccon
Division and Slope Factorization of p-Adic Polynomials. CoRR (2016)
Xavier Caruso, David Roe, Tristan Vaccon
Division and Slope Factorization of p-Adic Polynomials. ISSAC (2016)
Alin Bostan, Xavier Caruso, Éric Schost
A Fast Algorithm for Computing the P-curvature. ISSAC (2015)
Xavier Caruso
Resultants and subresultants of p-adic polynomials. CoRR (2015)
Xavier Caruso, David Roe, Tristan Vaccon
p-Adic Stability In Linear Algebra. ISSAC (2015)
Alin Bostan, Xavier Caruso, Éric Schost
A Fast Algorithm for Computing the p-Curvature. CoRR (2015)
Xavier Caruso
Random matrices over a DVR and LU factorization. J. Symb. Comput. 71 (2015)
Xavier Caruso, David Roe, Tristan Vaccon
p-Adic Stability In Linear Algebra. CoRR (2015)
Xavier Caruso, David Roe, Tristan Vaccon
Tracking -adic precision. LMS J. Comput. Math. 17 (Theory) (2014)
Xavier Caruso, David Roe, Tristan Vaccon
Tracking p-adic precision. CoRR (2014)
Alin Bostan, Xavier Caruso, Éric Schost
A fast algorithm for computing the characteristic polynomial of the p-curvature. ISSAC (2014)
Alin Bostan, Xavier Caruso, Éric Schost
A fast algorithm for computing the characteristic polynomial of the p-curvature. CoRR (2014)
Xavier Caruso, David Lubicz
Linear algebra over and related rings. LMS J. Comput. Math. 17 (1) (2014)
Xavier Caruso, David Lubicz
Linear Algebra over Z_p[[u]] and related rings CoRR (2012)
Xavier Caruso
Random matrix over a DVR and LU factorization CoRR (2012)