Prof. Dr. Antonella Perucca

Antonella Perucca

Associate professor in Mathematics and its Didactics

Faculté ou Centre Faculté des Sciences, des Technologies et de Médecine
Department Département Mathématiques
Adresse postale Université du Luxembourg
Maison du Nombre
6, Avenue de la Fonte
L-4364 Esch-sur-Alzette
Bureau sur le campus MNO, E06 0615-120
E-mail
Téléphone (+352) 46 66 44 5781

To Antonella Perucca's homepage: www.antonellaperucca.net

Last updated on: lundi 07 octobre 2019

powered by
orbilu.uni.lu

Sous presse

Full Text
See detailRubik's Snakes on a plane
Grotto, Francesco; Perucca, Antonella; Van Steenbergen Bergeron, Tatjana

in College Mathematics Journal (in press)

Full Text
See detailKummer theory for products of one-dimensional tori
Perissinotto, Flavio; Perucca, Antonella

in Publications Mathematiques de Besançon (in press)

Full Text
See detailCongruence Theorems in the past, present, and future
Perucca, Antonella

in For the Learning of Mathematics (in press)

Top of Page

2023

Full Text
See detailMultiplying mathematical teachers
Perucca, Antonella

Diverse speeches and writings (2023)

Full Text
See detailCongruence theorems for convex polygons involving sides, angles, and diagonals
Perucca, Antonella; Torti, Emiliano

in International Journal of Geometry (2023), 12(2023), 83-92

Top of Page

2022

Full Text
See detailSharing calculations to understand arithmetical algorithms and parallel computing
Andrusiak, Rich; Perucca, Antonella

in Mathematics Teacher (2022)

Full Text
See detailDer 50cm lange Gliedermaßstab
Foyen, Andy; Perucca, Antonella

in Beiträge zum Mathematikunterricht 2022 (Tagungsband GDM) (2022)

Full Text
See detailExplicit Kummer generators for cyclotomic extensions
Hoermann, Fritz; Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in JP Journal of Algebra, Number Theory and Applications (2022)

Full Text
See detailUnified treatment of Artin-type problems
Järviniemi, Olli; Perucca, Antonella

in Research in Number Theory (2022)

Full Text
See detailKummer theory for multiquadratic or quartic cyclic number fields
Perissinotto, Flavio; Perucca, Antonella

in Uniform distribution theory (2022), 17(no. 2), 165-194

Full Text
See detailVisual Mathematical Dictionary
Perucca, Antonella

Article for general public (2022)

Full Text
See detailMinorities in Mathematics
Perucca, Antonella

Article for general public (2022)

Full Text
See detailGeometrie der römischen Mosaiken
Perucca, Antonella

Scientific Conference (2022)

Full Text
See detailArithmetic Billiards
Perucca, Antonella; Reguengo da Sousa, Joe; Tronto, Sebastiano

in Recreational Mathematics Magazine (2022)

Full Text
See detailProportionalitätsrechner für Menschen mit einer Dyskalkulie
Perucca, Antonella; Ronk, Pit Ferdy

Scientific Conference (2022)

Top of Page

2021

Full Text
See detailExplicit Kummer theory for quadratic fields
Hörmann, Fritz; Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in JP Journal of Algebra, Number Theory and Applications (2021)

Full Text
See detailStaircase numbers
Perucca, Antonella

Article for general public (2021)

Full Text
See detailEvery number is the beginning of a power of 2
Perucca, Antonella

Article for general public (2021)

Full Text
See detailThe degree of Kummer extensions of number fields
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in International Journal of Number Theory (2021)

Full Text
See detailKummer theory for number fields via entanglement groups
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in Manuscripta Mathematica (2021)

Full Text
See detailHow to become the world record holder for solving the Rubik's cube
Perucca, Antonella; Tronto, Sebastiano

Speeches/Talks (2021)

Top of Page

2020

Full Text
See detailThe ABCD of cyclic quadrilaterals
Begalla, Engjell; Perucca, Antonella

Article for general public (2020)

Full Text
See detailReductions of points on algebraic groups II
Bruin, Peter; Perucca, Antonella

in Glasgow Mathematical Journal (2020)

Full Text
See detailThe degree of non-Galois Kummer extensions of number fields
Perucca, Antonella

in Rivista di Matematica della Universita di Parma (2020), 11

Full Text
See detailFour points, two distances
Perucca, Antonella

Article for general public (2020)

Full Text
See detailThe seven bridges of Königsberg
Perucca, Antonella

Article for general public (2020)

Full Text
See detailThe 15 puzzle
Perucca, Antonella

Article for general public (2020)

Full Text
See detailKummer theory for number fields and the reductions of algebraic numbers II
Perucca, Antonella; Sgobba, Pietro

in Uniform Distribution Theory (2020)

Full Text
See detailAddendum to: Reductions of algebraic integers
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in Journal of Number Theory (2020)

Full Text
See detailKummer theory for number fields
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in Proceedings of the Roman Number Theory Association (2020)

Full Text
See detailExplicit Kummer theory for the rational numbers
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano

in International Journal of Number Theory (2020)

Full Text
See detailConverting the Old Babylonian Tablet ‘Plimpton 322’ into the Decimal System as a Classroom Exercise
Perucca, Antonella; Stranen, Deborah

in Convergence (2020)

Full Text
See detailVisualisierungen des Induktionsprinzips
Perucca, Antonella; Todorovic, Milko

in Beiträge zum Mathematikunterricht 2020 (2020)

Top of Page

2019

Full Text
See detailReductions of points on algebraic groups
Lombardo, Davide; Perucca, Antonella

in Journal of the Institute of Mathematics of Jussieu (2019)

Full Text
See detailMultisets in arithmetics
Perucca, Antonella

in Multimengen in der Arithmetik (2019)

Full Text
See detailThe problem of detecting linear dependence
Perucca, Antonella

in Rivista di Matematica della Universita di Parma (2019)

Full Text
See detailReductions of elliptic curves
Perucca, Antonella

in Proceedings of the Roman Number Theory Association (2019), 4

Full Text
See detailMultiplicative order and Frobenius symbol for the reductions of number fields
Perucca, Antonella

in Research Directions in Number Theory, Association for Women in Mathematics, Series 19 (2019) (2019)

Full Text
See detailThe Art Gallery Problem
Perucca, Antonella

Article for general public (2019)

Full Text
See detailMultisets
Perucca, Antonella

Article for general public (2019)

Full Text
See detailKummer theory for number fields and the reductions of algebraic numbers
Perucca, Antonella; Sgobba, Pietro

in International Journal of Number Theory (2019)

Full Text
See detailTrigonometry for the multiples of 3 degrees
Perucca, Antonella; Stranen, Deborah

Article for general public (2019)

Top of Page

2018

Full Text
See detailMath around the Clock
Perucca, Antonella

Article for general public (2018)

Full Text
See detailReductions of algebraic integers II
Perucca, Antonella

in Association for Women in Mathematics Series (2018)

Full Text
See detailReductions of one-dimensional tori II
Perucca, Antonella

in Association for Women in Mathematics Series (2018)

Full Text
See detailThe PytEuk puzzle
Perucca, Antonella

Diverse speeches and writings (2018)

Full Text
See detailArithmetic billiards
Perucca, Antonella

Article for general public (2018)

Full Text
See detailTactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind
Perucca, Antonella; Fiore, Tom; Lang, Alexander

in College Mathematics Journal (2018)

Full Text
See detailDriehoeken met onderling 5 gelijke zijden en hoeken
Perucca, Antonella; Van den Broek, Luc

Article for general public (2018)

Top of Page

2017

Full Text
See detailThe 1-eigenspace for matrices in GL2(ℤℓ)
Lombardo, Davide; Perucca, Antonella

in New York Journal of Mathematics (2017)

Full Text
See detailReductions of one-dimensional tori
Perucca, Antonella

in International Journal of Number Theory (2017)

Full Text
See detailThe Chinese Remainder Clock
Perucca, Antonella

in College Mathematics Journal (2017)

Top of Page

2016

Full Text
See detailReductions of algebraic integers
Debry, Christophe; Perucca, Antonella

in Journal of Number Theory (2016)

Top of Page

2015

Full Text
See detailThe order of the reductions of an algebraic integer
Perucca, Antonella

in Journal of Number Theory (2015)

Full Text
See detailThe prime divisors of the number of points on abelian varieties
Perucca, Antonella

in Journal de Théorie des Nombres de Bordeaux (2015)

Top of Page

Undated

Full Text
See detailA local-global principle for polyquadratic twists of abelian surfaces
Fité, Francesc; Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailUnified treatment of Artin-type problems II
Järviniemi, Olli; Perucca, Antonella; Sgobba, Pietro

E-print/Working paper (n.d.)

Full Text
See detailThe distribution of the multiplicative index of algebraic numbers over residue classes
Moree, Pieter; Perucca, Antonella; Sgobba, Pietro

E-print/Working paper (n.d.)

Full Text
See detailKummer theory for finite fields and p-adic fields
Perissinotto, Flavio; Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailJunior BINGO
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailMath in disguise
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailSaddle point walk
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailFour Riddles with Four Brothers
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailCreativity Backstage
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailThe least common multiple of several numbers in terms of greatest common divisors
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailKummer extensions of number fields (the case of rank 2)
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailThe first-digit law
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailReflections on milestones in pre-school mathematics
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailSOS Sudoku
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailThe Hardest Logic Puzzle Ever
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailBoy or Girl?
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailMathematical hourglasses, just in time
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailGuess who is guessing?
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailPascal triangle for kids
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailRole models for minorities in mathematics
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailRubik's Snakes: Learn and Play
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailTikZ is more than meets the eyes
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailFermat's Last Theorem (Worksheet for pupils)
Perucca, Antonella

Learning material (n.d.)

Full Text
See detailUnconscious assumptions in mathematical examples
Perucca, Antonella

E-print/Working paper (n.d.)

Full Text
See detailOne dog, one cat, one mouse (mathematical exhibit)
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailThe Multiplication Tables Puzzle
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailArt and Data Science: a model by pupils
Perucca, Antonella

Diverse speeches and writings (n.d.)

Full Text
See detailThree-dimensional arithmetic billiards
Perucca, Antonella; Perissinotto, Flavio; Mendeleev, Steve

E-print/Working paper (n.d.)

Full Text
See detailBeware proportions
Perucca, Antonella; Ronk, Pit Ferdy

E-print/Working paper (n.d.)

Full Text
See detailDivisibility Graphs: Graphs representing modular multiplications
Perucca, Antonella; Seuré, Tim; Wolff, Vincent

E-print/Working paper (n.d.)

Top of Page

URL:  https://wwwfr.uni.lu/recherche/fstm/dmath/people/antonella_perucca Date:  dimanche 26 mars 2023 11:37:35