artículo académico

• A finiteness theorem for 2-towers of number fields.  POLYNESIAN JOURNAL OF MATHEMATICS.  2(3). 2025
• A note on Buell’s Theorem on length four Büchi sequences.  CUBO-A MATHEMATICAL JOURNAL .  27(1):1-15. 2025
• Effectivity for existence of rational points is undecidable.  JOURNAL OF NUMBER THEORY.  276:81-97. 2025
• Endomorphisms and dynamic on the affine buchi's quadratic 4 surface.  MOSCOW MATHEMATICAL JOURNAL.  24(3):441-459. 2024
• Existential decidability for addition and divisibility in holomorphy subrings of global fields.  JOURNAL OF NUMBER THEORY.  241:504-530. 2022
• Hilbert's Tenth Problem for Complex Meromorphic Functions in Several Variables.  INTERNATIONAL MATHEMATICS RESEARCH NOTICES.  2022(19):15474-15504. 2022
• The diophantine problem for rings of exponential polynomials.  ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE.  23(4):1625-1636. 2022
• Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's.  TOHOKU MATHEMATICAL JOURNAL.  73(3):433-447. 2021
• Julia Robinson Numbers and Arithmetical Dynamic of Quadratic Polynomials.  INDIANA UNIVERSITY MATHEMATICS JOURNAL.  69(3):873-885. 2020
• Buchi´s problem in modular arithmetic for arbitrary quadratic polynomials.  CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES.  62(4):876-885. 2019
• A note on the Northcott property and undecidability.  BULLETIN OF THE LONDON MATHEMATICAL SOCIETY.  48(1):58-62. 2016
• Positive existential definability of multiplication from addition and the range of a polynomial.  ISRAEL JOURNAL OF MATHEMATICS.  216:273-306. 2016
• Definability of the natural numbers in totally real towers of nested square roots.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  143(10):4463-4477. 2015
• Optimal bounds for Büchi's problem in modular arthmetic.  JOURNAL OF NUMBER THEORY.  149:368-403. 2015
• Uniform existential interpretation of arithmetic in rings of functions of positive characteristic.  INVENTIONES MATHEMATICAE.  196:453-484. 2014
• A Characterization of Büchi's Integer Sequences of Length 3.  ACTA ARITHMETICA.  149(1):37-56. 2011
• Polynbomial parametrizations of lengh 4 Büchi sequences.  ACTA ARITHMETICA.  150(3):209-226. 2011
• The analogue of Büchi's problem for function fields.  JOURNAL OF ALGEBRA.  330:482-506. 2011
• A Survey on Büchi's Problem: New Presentations and Open Problems.  ZAPISKI NUCHNYKH SEMINAROV POMI.  377:111-140. 2010
• Corrigendum: The Analogue of Büchi's Problem for Rational Functions.  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.  82:273-278. 2010
• The Analogue of Büchi's Problem for Cubes in Rings of Polynomials.  PACIFIC JOURNAL OF MATHEMATICS.  238(2):349-366. 2008
• The Analogue of Büchi's Problem for Rational Functions.  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.  74:545-565. 2006
• Extensions of Büchi's Problem: Questions of Decidability for Addition and kth Powers.  FUNDAMENTA MATHEMATICAE.  185:171-194. 2005
• The Analogue of Büchi's Problem for Polynomials.  LECTURE NOTES IN COMPUTER SCIENCE.  3526:408-417. 2005
• An Analogue of Hilbert's 10th Problem for Fiels of Meromorphic Functions Over Non-Archimedean Valued Fields.  JOURNAL OF NUMBER THEORY.  101:48-73. 2003
• Multiplication Complexe et Equivalence Elementaire dans le Langage des Corps.  JOURNAL OF SYMBOLIC LOGIC.  67(2):635-648. 2002
• Equivalence Elémentaire de Corps Elliptiques.  COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE.  330(1):1-4. 2000