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

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Sous presse

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

in College Mathematics Journal (in press)

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

in Publications Mathematiques de Besançon (in press)

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2023

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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

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2022

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

in Mathematics Teacher (2022)

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

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

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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)

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

in Research in Number Theory (2022)

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

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

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See detailMinorities in Mathematics
Perucca, Antonella

Article for general public (2022)

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See detailGeometrie der römischen Mosaiken
Perucca, Antonella

Scientific Conference (2022)

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See detailVisual Mathematical Dictionary
Perucca, Antonella

Article for general public (2022)

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

in Recreational Mathematics Magazine (2022)

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

Scientific Conference (2022)

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2021

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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)

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See detailStaircase numbers
Perucca, Antonella

Article for general public (2021)

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

Article for general public (2021)

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

in International Journal of Number Theory (2021)

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

in Manuscripta Mathematica (2021)

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

Speeches/Talks (2021)

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2020

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

Article for general public (2020)

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

in Glasgow Mathematical Journal (2020)

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

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

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See detailFour points, two distances
Perucca, Antonella

Article for general public (2020)

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See detailThe seven bridges of Königsberg
Perucca, Antonella

Article for general public (2020)

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See detailThe 15 puzzle
Perucca, Antonella

Article for general public (2020)

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

in Uniform Distribution Theory (2020)

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

in Journal of Number Theory (2020)

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

in Proceedings of the Roman Number Theory Association (2020)

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

in International Journal of Number Theory (2020)

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See detailVisualisierungen des Induktionsprinzips
Perucca, Antonella; Todorovic, Milko

in Beiträge zum Mathematikunterricht 2020 (2020)

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2019

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

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

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See detailMultisets in arithmetics
Perucca, Antonella

in Multimengen in der Arithmetik (2019)

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See detailThe problem of detecting linear dependence
Perucca, Antonella

in Rivista di Matematica della Universita di Parma (2019)

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See detailReductions of elliptic curves
Perucca, Antonella

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

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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)

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See detailThe Art Gallery Problem
Perucca, Antonella

Article for general public (2019)

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See detailMultisets
Perucca, Antonella

Article for general public (2019)

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

in International Journal of Number Theory (2019)

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

Article for general public (2019)

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2018

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See detailMath around the Clock
Perucca, Antonella

Article for general public (2018)

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See detailReductions of algebraic integers II
Perucca, Antonella

in Association for Women in Mathematics Series (2018)

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See detailReductions of one-dimensional tori II
Perucca, Antonella

in Association for Women in Mathematics Series (2018)

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See detailThe PytEuk puzzle
Perucca, Antonella

Diverse speeches and writings (2018)

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See detailArithmetic billiards
Perucca, Antonella

Article for general public (2018)

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

in College Mathematics Journal (2018)

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

Article for general public (2018)

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2017

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

in New York Journal of Mathematics (2017)

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See detailReductions of one-dimensional tori
Perucca, Antonella

in International Journal of Number Theory (2017)

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See detailThe Chinese Remainder Clock
Perucca, Antonella

in College Mathematics Journal (2017)

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2016

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

in Journal of Number Theory (2016)

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2015

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

in Journal of Number Theory (2015)

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

in Journal de Théorie des Nombres de Bordeaux (2015)

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Undated

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

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

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

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

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

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

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See detailJunior BINGO
Perucca, Antonella

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

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See detailSaddle point walk
Perucca, Antonella

Diverse speeches and writings (n.d.)

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See detailFour Riddles with Four Brothers
Perucca, Antonella

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

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See detailCreativity Backstage
Perucca, Antonella

Diverse speeches and writings (n.d.)

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

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

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See detailThe first-digit law
Perucca, Antonella

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

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

Diverse speeches and writings (n.d.)

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See detailSOS Sudoku
Perucca, Antonella

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

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See detailThe Hardest Logic Puzzle Ever
Perucca, Antonella

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

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See detailBoy or Girl?
Perucca, Antonella

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

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See detailMathematical hourglasses, just in time
Perucca, Antonella

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

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See detailGuess who is guessing?
Perucca, Antonella

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

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See detailPascal triangle for kids
Perucca, Antonella

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

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See detailRole models for minorities in mathematics
Perucca, Antonella

Diverse speeches and writings (n.d.)

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

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

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See detailTikZ is more than meets the eyes
Perucca, Antonella

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

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See detailMultiplying mathematical teachers
Perucca, Antonella

Diverse speeches and writings (n.d.)

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

Learning material (n.d.)

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See detailUnconscious assumptions in mathematical examples
Perucca, Antonella

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

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

Diverse speeches and writings (n.d.)

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See detailThe Multiplication Tables Puzzle
Perucca, Antonella

Diverse speeches and writings (n.d.)

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See detailMath in disguise
Perucca, Antonella

Diverse speeches and writings (n.d.)

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

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

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See detailBeware proportions
Perucca, Antonella; Ronk, Pit Ferdy

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

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

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

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