Publications and preprints
The page is organized into two sections, reflecting the “dual nature” of my research profile:
Notes. (i) As a rule of thumb, a PDF copy of any document on this page is always the most uptodate version of the document itself.
(ii) Some journals are now making their archives accessible for free. Yet, many links on this page lead to articles
behind a paywall. In all cases, I can provide a copy on request (just send me an email at the address
salvo.tringali (at) gmail.com).
Work in pure mathematics

Publications and preprints (in reverse chronological order)

On Small Sets of Integers (with Paolo Leonetti)
submitted (PDF – arXiv:1905.08075)

Structural properties of subadditive sequences with applications to factorization theory and additive combinatorics
submitted (PDF)

On the Arithmetic of Power Monoids and Sumsets in Cyclic Groups (with
Austin A. Antoniou)
submitted
(arXiv:1804.10913)

Structural properties of subadditive families with applications to factorization theory
to appear in Israel Journal of Mathematics
(DOI –
arXiv:1706.03525)

Commutativity of integral quasiarithmetic means on measure spaces
(with Dorota Głazowska,
Paolo Leonetti,
and Janusz Matkowski)
Acta Mathematica Hungarica, Vol. 153, No. 2 (2017), 350355 (DOI –
arXiv:1703.03938)

Power monoids: A bridge between Factorization Theory and Arithmetic Combinatorics
(with Yushuang Fan)
Journal of Algebra,
Vol. 512 (Oct 2018), 252294
(DOI –
arXiv:1701.09152)

Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
(with Yushuang Fan,
Alfred Geroldinger, and Florian Kainrath)
Journal of Algebra and Its Applications,
Vol. 16, No. 11 (2017), 42 pp.
(DOI –
arXiv:1612.03116)

Multivariate Delta Goncarov and Abel Polynomials
(with Rudolph Lorentz and Catherine H. Yan)
Journal of Mathematical Analysis and Applications, Vol. 446, No. 1 (Feb 2017), pp. 663680
(DOI – arXiv:1608.05836)

On the number of distinct prime factors of a sum of superpowers (with Paolo Leonetti)
Journal of Number Theory, Vol. 186 (May 2018), pp. 226237
(DOI –
arXiv:1511.08784)

Generalized Goncarov polynomials
(with Rudolph Lorentz and Catherine H. Yan)
in S. Butler, J. Cooper, and G. Hurlbert (eds.), Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham
Cambridge University Press, 2018
(arXiv:1511.04039)

Upper and lower densities have the strong Darboux property
(with Paolo Leonetti)
Journal of Number Theory, Vol. 174 (May 2017), pp. 445455
(DOI – arXiv:1510.07473)

On the notions of upper and lower density
(with Paolo Leonetti)
to appear in Proceedings of the Edinburgh Mathematical Society
(DOI – arXiv:1506.04664)

On the commutation of generalized means on probability spaces
(with Paolo Leonetti and Janusz Matkowski)
Indagationes Mathematicae, Vol. 27, No. 4 (Sep 2016), pp. 945953
(DOI – arXiv:1503.01139)

The Davenport constant of a box
(with Alain Plagne)
Acta Arithmetica,
Vol. 171, No. 3 (2015), pp. 197219
(DOI – arXiv:1405.4363)

Sums of dilates in ordered groups
(with Alain Plagne)
Communications in Algebra, Vol. 44, No. 12 (2016), pp. 52235236
(DOI – arXiv:1403.0934)

CauchyDavenport type theorems for semigroups
Mathematika,
Vol. 62, No. 1 (2016), pp. 112
(DOI –
arXiv:1307.8396)

On the divisibility of $a^n \pm b^n$ by powers of $n$
Integers,
Vol. 13 (Nov. 2013), pp. 993998
(PDF –
arXiv:1301.0131)

On a system of equations with primes
(with Paolo Leonetti)
Journal de Théorie des Nombres de Bordeaux,
Vol. 26, No. 2 (2014), pp. 399413
(DOI –
PDF –
arXiv:1212.0802)

A CauchyDavenport theorem for semigroups
Uniform Distribution Theory, Vol. 9, No. 1 (2014), pp. 2742
(PDF –
arXiv:1210.4203)
 Small doubling in ordered semigroups
Semigroup Forum, Vol. 90, No. 1 (2015), pp. 135148
(DOI –
PDF –
arXiv:1208.3233)
PhD of Université de Lyon (delivered by Université de SaintÉtienne), France
Speciality: mathematics  Subspecialities: additive theory and number theory
Title of the thesis: 
Some Questions in Combinatorial and Elementary Number Theory

 (PDF copy of the thesis, in English for the most part; slides of the presentation, in French) 
Date of defense: 
26 November 2013 
Thesis directors: 
François Hennecart (Professor, Université de SaintÉtienne)


Alain Plagne (Researcher, École polytechnique)

Rapporteurs: 
Alfred Geroldinger (Professor, KarlFranzensUniversität Graz)


Gilles Zémor (Professor, Université Bordeaux 1) 
President of the jury: 
Laurent Habsieger (Research director, UMICRM CNRS) 
Examiners: 
Éric Balandraud (Associate professor, Université Pierre and Marie Curie Paris 6) 

Georges Grekos (Associate professor, Université de SaintÉtienne) 

Federico Pellarin (Professor, Université de SaintÉtienne)


Publications in peerreviewed journals
 Modeling Realistic Contrast Maps from MRI Images for Microwave Breast
Cancer Detection (with Giovanni Angiulli and Tommaso Isernia), IEEE AP Magazine, Vol. 53, No. 1 (2011), pp. 113122 (published version)
 Classing and extracting information from radar images (with Giovanni Angiulli, Vincenzo Barrile, Giuseppe Meduri and Raffaele Pucinotti), PIERS Online, Vol. 4, No. 6 (2008), pp. 621624
 Stabilizing the $E$Field Integral Equation at the internal resonances through the computation of its numerical null space (with Giovanni Angiulli), International Journal of Applied Electromagnetics and Mechanics, Vol. 32, No. 2 (2010), pp. 6372
 Automatic design of circular SIW resonators by a hybrid approach based on polynomial fitting and SVRMs (with Domenico De Carlo), Journal of Electromagnetic Waves and Applications, Vol. 24, Nos 56 (2010), pp. 735744
 Convergence of Krylov solvers and the choice of basis and weighting functions in the MoM solution of the Electrical Field Integral Equation (with Giovanni Angiulli), PIERS Online, Vol. 4, No. 7 (2008), pp. 771774

Publications in the proceedings of peerreviewed international conferences
 Guidelines for effective microwave breast imaging: a numerical assessment against 3D anthropomorphic phantoms (with Ilaria Catapano, Lorenzo Crocco, Loreto Di Donato, Giovanni Angiulli, Tommaso Isernia and Ovidio Mario Bucci), 4th European Conference on Antennas and Propagation (EuCAP 2010), Barcelona (ES), 1216 Apr. 2010 (PDF)
 Modelling SIW resonators using support vector regression machines (with Giovanni Angiulli, Domenico De Carlo, Giandomenico Amendola and Emilio Arnieri), 24th Progress In Electromagnetics Research Symposium (24th PIERS), pp. 406409, Cambridge, MA (US), 26 July 2008
 Accurate Tools for Convergence Prediction of Series Solutions of Contrast Source Integral Equations (with Giovanni Angiulli, Michele D'Urso and Tommaso Isernia), 13th International Conference on Ground Penetrating Radar (GPR 2010), Lecce (IT), 2125 June 2010 (published version)
 An algebraic preconditioner based on properties of the skewHermitian part of the linear systems arising from the discretization of the $E$field integral equation (with Giovanni Angiulli and Paolo Quattrone), 11th International Conference on Electromagnetics in Advanced Applications (ICEAA '09), pp. 632635, Turin (IT), 1418 Sept. 2009
 On the preconditioning of algebraic linear systems arising from the discretization of the EFIE (with Giovanni Angiulli and Paolo Quattrone), 26th Progress in Electromagnetic Research Symposium (26th PIERS), pp. 577579, Moscow (RU), 1821 Aug. 2009
 On the relationship between nonuniqueness of electromagnetic scattering integral equations and Krylov subspace methods (with Giovanni Angiulli and Paolo Quattrone), 26th Progress in Electromagnetic Research Symposium (26th PIERS), pp. 599603, Moscow (RU), 1821 Aug. 2009
 Convergence of Krylov solvers and choice of basis and weighting set of functions in the Moment Method solution of Electrical Field Integral Equation (with Giovanni Angiulli), 24th Progress In Electromagnetics Research Symposium (24th PIERS), pp. 7376, Cambridge, MA (US), 26 July 2008
 EFIE stabilization at internal resonances computing its numerical null space (with Giovanni Angiulli), 13th Biennial IEEE Conference On Electromagnetic Field Computation (CEFC 2008), Athens (GR), 1115 Maj 2008
 Equivalent real formulations for solving complex linear systems in computational electromagnetics, (with Giovanni Angiulli and Giuseppe Di Massa), 5th European Conference on Numerical Methods in Electromagnetism (NUMELEC), Lille (FR), 29 Nov.1 Dec. 2006
Publications in the proceedings of peerreviewed national (Italian) conferences
 Sviluppo ed analisi di strategie efficienti per la diagnostica a microonde del tumore al seno (with Ilaria Catapano, Lorenzo Crocco, Loreto Di Donato, Francesco Soldovieri, Ovidio Mario Bucci, Giovanni Angiulli and Tommaso Isernia), 18th Riunione Nazionale di ElettroMagnetismo (RiNEM 2010), Benevento (IT), 610 Sept. 2010
 Un precondizionatore per l'EFIE basato sull'impiego della sua componente antihermitiana (with Giovanni Angiulli), 17th Riunione Nazionale di ElettroMagnetismo (RiNEM 2008), Lecce (IT), 1519 Sept. 2008
 Formulazioni reali equivalenti per la soluzione di sistemi lineari complessi in elettromagnetismo computazionale (with Giovanni Angiulli and Giuseppe Di Massa), 16th Riunione Nazionale di ElettroMagnetismo (RiNEM 2006), Genoa (IT), 1821 Sept. 2006
PhD thesis of the Università di Reggio Cal., Italy
Speciality: electronics engineering  Subspeciality: computational electromagnetics
Laurea thesis of the Università di Reggio Cal., Italy
Speciality: electronics engineering  Subspeciality: computational electromagnetics
Title of the thesis: 
Diagonalization of nonselfadjoint operators resulting from the study of the scattering of electromagnetic fields by ideal cylindrical conductors (in Italian) 
Date of defense: 
25 January 2005 
Thesis directors: 
Giovanni Angiulli (Researcher, Università di Reggio Cal.)


Mario Versaci (Associate professor, Università di Reggio Cal.)

Note. In Italy, the laurea was the main academic degree until the reforms following the Bologna process. A laurea was, actually, a long university degree (5 years for engineers), which concluded with the presentation of a thesis (usually based on experimental work) in front of a jury.
Last update: July 1, 2018