artículo académico

• 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 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