Valerio Talamanca

Watercolour by Capi Corrales Rodrigáñez
reproduced by permission of the author


On the Arithmetic of Knuth's Powers and Some Computational Results About Their Density (with Fabio Caldarola, Gianfranco d'Atri, Pietro Mercuri) in Numerical Computations: Theory and Algorithms Third International Conference, NUMTA 2019, Crotone, Italy, June 15?21, 2019, Revised Selected Papers, Part I
Symmetries for heights on split tori, Journal de Théorie des Nombres de Bordeaux, 30, no.1 (2018), pp. 41-57.
Folding cubic roots: Margherita Piazzolla Beloch's contribution to elementary geometric constructions, (with Paola Magrone) Proceedings of the 16th Conference on Applied Mathematics (APLIMAT 2017), Slovak University of Technology, Bratislava, Slovak Republic, January 31st-February 2nd, 2017, ISBN: 978-1-5108-3698-3 ( Preprint version)
On canonical heights on Endomorphism rings over global function fields, (pdf), in the proceedings of the Third Italian Number Theory Meeting, Pisa (Italy), 21-24 September 2015 Riv. Mat. Univ. Parma: Volume 7 - Number 1 - 2016
Modelli geometrici per nuvole di punti, (with Corrado Falcolini), in Atti del Convegno 2015, Mathematica Italia User Group Meeting, Napoli 28-29 Maggio 2015 CD-ROM, ISBN 978-88-96810-04-0

Prodromes for a theory of heights on non-commutative separable $K$-algebras, (pdf)in the proceedings of the Second italian conference in number theory , Parma (Italy) 13-15 November 2003, Riv. Mat. Univ. Parma: (7) 3* (2004) MR2128861

The canonical height of a finite étale K-algebra, (pdf), in Number Theory " proceedings of the Canadian Number Theory Association (CTAN VII), May 19-25, 2002, Montreal. CRM Proceedings & Lecture Notes, Vol 36 (2004). MR2076603

A Gelfand-Beurling formula for heights on endomorphisms rings, (paper in jtn) J. of Number Theory   83 (1), 91-105 (2000) MR1767654.

A Note on Height Pairings on Polarized Abelian Varieties,(pdf) Atti dell' Accademia Nazionale dei Lincei, Matematica e Applicazioni serie IX, X (I), 57-60, (1999) MR1768521.

Height preserving linear transformations on semisimple $K$-algebras,(pdf), Proceedings of the 19th Journées Arithmétiques, Barcelona 1995, Collectanea Mathematica, XLVIII (1-2), 217-234 (1997) MR1464025.

An Introduction to the theory of height functions (pdf), atti del Primo Incontro Italiano di Teoria dei Numeri Rendiconti del Seminario Fisico e Matematico di Torino, 53 (4) (1995), pp 437-453   MR1452397.