Work

Publications

Mantova V. Polynomial exponential equations and Zilber's conjecture. Bulletin of the London Mathematical Society. 2016 ;48(2):309-320.
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Mantova V. A pseudoexponentiation-like structure on the algebraic numbers. Journal of Symbolic Logic. 2015 ;80(04):1339-1347.
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Berarducci A, Mantova V. Surreal numbers, derivations and transseries. Journal of the European Mathematical Society [Internet]. In Press :46. Available from: http://arxiv.org/abs/1503.00315
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Fuchs C, Mantova V, Zannier U. On fewnomials, integral points and a toric version of Bertini's theorem. [Internet]. 2014 :43. Available from: http://arxiv.org/abs/1412.4548
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Mantova V, Zannier U. Artin-Whaples approximations of bounded degree on algebraic varieties. Proceedings of the American Mathematical Society [Internet]. 2014 ;142(9):2953-2964. Available from: http://www.ams.org/journals/proc/0000-000-00/S0002-9939-2014-12021-1/
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Mantova V. Zilber fields and complex exponentiation. Classe di Scienze [Internet]. 2013 ;Ph.D. in Mathematics. Available from: http://www.ailalogica.it/ricerca/tesi/mantova-dottorato.pdf
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Mantova V. Involutions on Zilber fields. [Internet]. Submitted . Available from: http://arxiv.org/abs/1109.6155
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Mantova V. Involutions on Zilber fields. Rendiconti Lincei - Matematica e Applicazioni. 2011 ;22(2):237-244.
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Invited talks

Towards a composition on surreal numbers, Lancashire Yorkshire Model Theory Seminar, Manchester 13/03/2016
Transserial derivations on surreal numbers, AMS-ASL Special Session on Surreal Numbers, JMM 2016, Seattle 07/01/2016
On the converse Schanuel conjecture, Grenoble 05/11/2015
Algebraic equations with sparse polynomials and the Erdős-Rényi conjecture, Séminaire tournant de théorie des nombres, Lyon 08/10/2015
Surreal numbers, derivations and transseries, Future directions in model theory and analytic functions, Manchester 10/07/2015
Surreal numbers, derivations and transseries, Lyon 10/06/2015
Surreal numbers, derivations and transseries, Bordeaux 10/04/2015
Numeri surreali, derivazioni e transserie, Torino 20/03/2015 slides_shorter.pdf
Algebraic equations with fewnomials and the Erdős-Rényi conjecture, Caen 16/01/2015
Algebraic equations with fewnomials and the Erdős-Rényi conjecture, Paris 15/01/2015
Surreal exponentiation, Paris 13/01/2015
Surreal numbers, derivations and transseries, Paris 12/01/2015 slides_shorter.pdf
On two conjectures of Rényi, Erdős and Schinzel about lacunary polynomials, Second ERC Research Period on Diophantine Geometry, Cetraro 18/07/2014
Raising to powers on the unit circle, First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao 03/07/2014
Zilber fields and complex exponentiation (AILA prize), XXV Incontro dell'Associazione Italiana di Logica e Sue Applicazioni, Pisa 15/04/2014
Raising to powers on the unit circle, Naples-Konstanz Model Theory Days, Caserta 08/11/2013
On a generalization of two conjectures of Rényi, Erdős and Schinzel about lacunary polynomials, Basel 24/10/2013
Involuzioni su campi di Zilber, Caserta 31/01/2013
Zilber's pseudoexponential fields and involutions, Konstanz-Naples Model Theory Days, Konstanz 06/12/2012
Zilber's perfect exponential fields and involutions, Lyon 15/11/2012
A pseudoexponential-like structure on the algebraic numbers, Mini-workshop in o-minimality and Diophantine geometry, Oxford 24/08/2012
A pseudoexponential-like structure on the algebraic numbers, Around Zilber-Pink conjectures -- Satellite day, Paris 30/06/2012
Zilber's perfect exponential fields and involutions, Norwich 12/03/2012
Artin-Whaples approximations of bounded degree on algebraic varieties, Graz 13/12/2011
Finding involutions on perfect exponential fields, Manchester 08/12/2011

Contributed talks

Algebraic equations with lacunary polynomials and the Erdős-Rényi conjecture, Terzo Incontro Italiano di Teoria dei Numeri, Pisa 22/09/2015
Surreali, derivazioni e transserie, XX Congresso U.M.I., Siena 08/09/2015
Transserial derivations on the surreal numbers, part 2, O-minimality and applications, Konstanz 24/07/2015
A pseudoexponential-like structure on the algebraic numbers, MALOA Final Conference, Luminy 03/05/2013
Finding involutions on perfect exponential fields, British Postgraduate Model Theory Conference, Oxford 05/01/2012
Some motivations for perfect exponentiation, LMS Graduate Student Meeting, London 18/11/2011
Approssimazioni di Artin-Whaples con grado limitato su varietà algebriche, XIX Congresso UMI, Bologna 16/09/2011
Involutions on Zilber fields, Logic Colloquium 2011, Barcellona 12/07/2011 Slides
Zariski geometries through examples, Mini-school in Model Theory, Torino 09/02/2011
Building Zilber's Fields, XXIV AILA Conference, Bologna 02/02/2011
About Zilber's fields, British Postgraduate Model Theory Conference, Leeds 21/01/2011
A Differential Nullstellensatz and the Mordell-Lang Conjecture, Pisa 09/12/2010
Model theory and axioms of Set Theory: the case of amalgamation, Workshop on Infinite Combinatorics, Pisa 25/06/2010
Un'applicazione della 'geometria diofantea non-standard' al teorema di irriducibilità di Hilbert, Pisa 21/04/2010 Riassunto della dimostrazione

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