![]() ![]() | Meyrath, T., Mincu, C.-I., & Perucca, A. (In press). Training mathematical thinking with the inclusive card game UNO. In Beiträge zum Mathematikunterricht (Tagungsband GDM) (2024). WTM-Verlag Münster. |
![]() ![]() | NESTERENKO, O., & PERUCCA, A. (In press). Challenging variants of the “Guess who?” game [Paper presentation]. GDM Tagung 2024. |
![]() ![]() | Fité, F., & Perucca, A. (In press). A local-global principle for polyquadratic twists of abelian surfaces. Indiana University Mathematics Journal. ![]() |
![]() ![]() | Grotto, F., Perucca, A., & Van Steenbergen Bergeron, T. (In press). Rubik's Snakes on a plane. College Mathematics Journal. ![]() |
![]() ![]() | Perucca, A. (In press). Advertisement for mathematical competitions. |
![]() ![]() | Perucca, A., Seuré, T., & Wolff, V. (In press). Divisibility Graphs: Graphs representing modular multiplications. American Mathematical Monthly. ![]() |
![]() ![]() | Perissinotto, F., & Perucca, A. (2023). Kummer theory for products of one-dimensional tori. Publications Mathematiques de Besançon, 2023, 109-119. ![]() |
![]() ![]() | Perucca, A., & Torti, E. (2023). Congruence theorems for convex polygons involving sides, angles, and diagonals. International Journal of Geometry, 12 (2023), 83-92. ![]() |
![]() ![]() | Perucca, A. (2023). Congruence Theorems in the past, present, and future. For the Learning of Mathematics. ![]() |
![]() ![]() | Perucca, A. (2023). Multiplying mathematical teachers. |
![]() ![]() | Perucca, A. (2023). Soft skills for mathematical teachers. |
![]() ![]() | Hoermann, F., Perucca, A., Sgobba, P., & Tronto, S. (2022). Explicit Kummer generators for cyclotomic extensions. JP Journal of Algebra, Number Theory and Applications. doi:10.17654/0972555522004 ![]() |
![]() ![]() | Perucca, A., Reguengo da Sousa, J., & Tronto, S. (2022). Arithmetic Billiards. Recreational Mathematics Magazine. ![]() |
![]() ![]() | Perucca, A., & Ronk, P. F. (2022). Proportionalitätsrechner für Menschen mit einer Dyskalkulie [Paper presentation]. GDM Meeting 2022, Frankfurt, Germany. |
![]() ![]() | Perucca, A. (2022). Geometrie der römischen Mosaiken [Paper presentation]. GDM Meeting 2022. |
![]() ![]() | Perucca, A. (2022). Minorities in Mathematics. MaddMaths!. |
![]() ![]() | Perissinotto, F., & Perucca, A. (2022). Kummer theory for multiquadratic or quartic cyclic number fields. Uniform distribution theory, 17 (no. 2), 165-194. ![]() |
![]() ![]() | Olli Järviniemi, & PERUCCA, A. (2022). Unified treatment of Artin-type problems. Research in Number Theory. doi:10.1007/s40993-022-00418-6 ![]() |
![]() ![]() | Foyen, A., & Perucca, A. (2022). Der 50cm lange Gliedermaßstab. In Beiträge zum Mathematikunterricht 2022 (Tagungsband GDM). |
![]() ![]() | Andrusiak, R., & Perucca, A. (2022). Sharing calculations to understand arithmetical algorithms and parallel computing. Mathematics Teacher. ![]() |
![]() ![]() | Perucca, A. (2022). Visual Mathematical Dictionary. (Mitteilungen der Gesellschaft für Didaktik der Mathematik). |
![]() ![]() | Perucca, A., Sgobba, P., & Tronto, S. (2021). The degree of Kummer extensions of number fields. International Journal of Number Theory. doi:10.1142/S1793042121500263 ![]() |
![]() ![]() | Perucca, A. (2021). The Hardest Logic Puzzle Ever. Plus Magazine. |
![]() ![]() | Hörmann, F., Perucca, A., Sgobba, P., & Tronto, S. (2021). Explicit Kummer theory for quadratic fields. JP Journal of Algebra, Number Theory and Applications. doi:10.17654/NT050020151 ![]() |
![]() ![]() | Perucca, A., Sgobba, P., & Tronto, S. (2021). Kummer theory for number fields via entanglement groups. Manuscripta Mathematica. doi:10.1007/s00229-021-01328-0 ![]() |
![]() ![]() | Perucca, A. (2021). Every number is the beginning of a power of 2. Uitwiskeling. |
![]() ![]() | Perucca, A. (2021). Staircase numbers. Uitwiskeling. |
![]() ![]() | Perucca, A., & Tronto, S. (2021). How to become the world record holder for solving the Rubik's cube. |
![]() ![]() | Perucca, A., Sgobba, P., & Tronto, S. (2020). Kummer theory for number fields. Proceedings of the Roman Number Theory Association. doi:10.1007/s00229-021-01328-0 |
![]() ![]() | Perucca, A., & Todorovic, M. (2020). Visualisierungen des Induktionsprinzips. In Beiträge zum Mathematikunterricht 2020. |
![]() ![]() | Perucca, A., & Sgobba, P. (2020). Kummer theory for number fields and the reductions of algebraic numbers II. Uniform Distribution Theory. doi:10.1142/S179304211950091X ![]() |
![]() ![]() | Begalla, E., & Perucca, A. (2020). The ABCD of cyclic quadrilaterals. Uitwiskeling. |
![]() ![]() | Perucca, A., & Stranen, D. (2020). Converting the Old Babylonian Tablet ‘Plimpton 322’ into the Decimal System as a Classroom Exercise. Convergence. ![]() |
![]() ![]() | Perucca, A., Sgobba, P., & Tronto, S. (2020). Addendum to: Reductions of algebraic integers. Journal of Number Theory. doi:10.1016/j.jnt.2016.09.004 ![]() |
![]() ![]() | Bruin, P., & Perucca, A. (2020). Reductions of points on algebraic groups II. Glasgow Mathematical Journal. doi:10.1017/S0017089520000336 ![]() |
![]() ![]() | Perucca, A., Sgobba, P., & Tronto, S. (2020). Explicit Kummer theory for the rational numbers. International Journal of Number Theory. doi:10.1142/S1793042120501146 ![]() |
![]() ![]() | Perucca, A. (2020). The degree of non-Galois Kummer extensions of number fields. Rivista di Matematica della Universita di Parma, 11, 301-313. ![]() |
![]() ![]() | Perucca, A. (2020). The seven bridges of Königsberg. Uitwiskeling. |
![]() ![]() | Perucca, A. (2020). Four points, two distances. Uitwiskeling. |
![]() ![]() | Perucca, A. (2020). The 15 puzzle. Uitwiskeling. |
![]() ![]() | Perucca, A. (2019). Multisets in arithmetics. In Multimengen in der Arithmetik. |
![]() ![]() | Lombardo, D., & Perucca, A. (2019). Reductions of points on algebraic groups. Journal of the Institute of Mathematics of Jussieu. doi:10.1017/S1474748019000598 ![]() |
![]() ![]() | Perucca, A., & Sgobba, P. (2019). Kummer theory for number fields and the reductions of algebraic numbers. International Journal of Number Theory. doi:10.1142/S179304211950091X ![]() |
![]() ![]() | Perucca, A. (2019). Multiplicative order and Frobenius symbol for the reductions of number fields. Research Directions in Number Theory, Association for Women in Mathematics, Series 19 (2019). ![]() |
![]() ![]() | Perucca, A. (2019). Reductions of elliptic curves. Proceedings of the Roman Number Theory Association, 4. |
![]() ![]() | Perucca, A., & Stranen, D. (2019). Trigonometry for the multiples of 3 degrees. Uitwiskeling. |
![]() ![]() | Perucca, A. (2019). The Art Gallery Problem. Uitwiskeling, 35 (3). |
![]() ![]() | Perucca, A. (2019). Multisets. Uitwiskeling. |
![]() ![]() | Perucca, A. (2019). The problem of detecting linear dependence. Rivista di Matematica della Universita di Parma. ![]() |
![]() ![]() | Perucca, A. (2018). Math around the Clock. Plus Magazine, University of Cambridge. |
![]() ![]() | Perucca, A. (2018). The PytEuk puzzle. |
![]() ![]() | Perucca, A. (2018). Reductions of algebraic integers II. Association for Women in Mathematics Series. doi:10.1016/j.jnt.2016.03.001 ![]() |
![]() ![]() | Perucca, A. (2018). Reductions of one-dimensional tori II. Association for Women in Mathematics Series. doi:10.1142/S1793042117500828 ![]() |
![]() ![]() | Perucca, A., Fiore, T., & Lang, A. (2018). Tactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind. College Mathematics Journal. ![]() |
![]() ![]() | Perucca, A., & Van den Broek, L. (2018). Driehoeken met onderling 5 gelijke zijden en hoeken. Uitwiskeling. |
![]() ![]() | Perucca, A. (2018). Arithmetic billiards. Plus Magazine, University of Cambridge. |
![]() ![]() | Perucca, A. (2017). Reductions of one-dimensional tori. International Journal of Number Theory. doi:10.1142/S1793042117500828 ![]() |
![]() ![]() | Lombardo, D., & Perucca, A. (2017). The 1-eigenspace for matrices in GL2(ℤℓ). New York Journal of Mathematics. ![]() |
![]() ![]() | Perucca, A. (2017). The Chinese Remainder Clock. College Mathematics Journal. doi:10.4169/college.math.j.48.2.82 ![]() |
![]() ![]() | Debry, C., & Perucca, A. (2016). Reductions of algebraic integers. Journal of Number Theory. doi:10.1016/j.jnt.2016.03.001 ![]() |
![]() ![]() | Perucca, A. (2015). The order of the reductions of an algebraic integer. Journal of Number Theory. doi:10.1016/j.jnt.2014.09.022 ![]() |
![]() ![]() | Perucca, A. (2015). The prime divisors of the number of points on abelian varieties. Journal de Théorie des Nombres de Bordeaux. doi:10.5802/jtnb.924 ![]() |
![]() ![]() | Perucca, A. (n.d.). Fermat's Last Theorem (Worksheet for pupils). |
![]() ![]() | Perissinotto, F., & Perucca, A. (n.d.). Kummer theory for finite fields and p-adic fields. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/50285. |
![]() ![]() | Perucca, A. (n.d.). Four Riddles with Four Brothers. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/44573. |
![]() ![]() | Perucca, A. (n.d.). Kummer extensions of number fields (the case of rank 2). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/41552. |
![]() ![]() | Perucca, A. (n.d.). SOS Sudoku. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/43835. |
![]() ![]() | Perucca, A. (n.d.). Boy or Girl? ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/45294. |
![]() ![]() | Perucca, A. (n.d.). The first-digit law. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/45191. |
![]() ![]() | Perucca, A. (n.d.). The least common multiple of several numbers in terms of greatest common divisors. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/44718. |
![]() ![]() | Perucca, A. (n.d.). The Multiplication Tables Puzzle. |
![]() ![]() | Perucca, A. (n.d.). Junior BINGO. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/51614. |
![]() ![]() | Perucca, A. (n.d.). One dog, one cat, one mouse (mathematical exhibit). |
![]() ![]() | Perucca, A. (n.d.). Unconscious assumptions in mathematical examples. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/50582. |
![]() ![]() | Perucca, A. (n.d.). Saddle point walk. |
![]() ![]() | Perucca, A., & Ronk, P. F. (n.d.). Beware proportions. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/51229. |
![]() ![]() | Perucca, A. (n.d.). Creativity Backstage. |
![]() ![]() | Perucca, A. (n.d.). Reflections on milestones in pre-school mathematics. |
![]() ![]() | Moree, P., Perucca, A., & Sgobba, P. (n.d.). The distribution of the multiplicative index of algebraic numbers over residue classes. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/54490. |
![]() ![]() | Perucca, A. (n.d.). Hexoku and other Sudoku variants. |
![]() ![]() | Advocaat, B., Chan, C. W., Pajaziti, A., Perissinotto, F., & Perucca, A. (n.d.). Galois groups of Kummer extensions of number fields. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/55190. |
![]() ![]() | Perucca, A. (n.d.). Math in Disguise: Constructing Braids. |
![]() ![]() | Perucca, A. (n.d.). MATHS CALENDAR (12 language inclusive posters). |
![]() ![]() | Peric, M., & Perucca, A. (n.d.). Mathematics of the Vichten Mosaic. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/55369. |
![]() ![]() | Perucca, A. (n.d.). Mathematical hourglasses, just in time. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52537. |
![]() ![]() | Perucca, A. (n.d.). Role models for minorities in mathematics. |
![]() ![]() | Perucca, A. (n.d.). Pascal triangle for kids. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52597. |
![]() ![]() | Perucca, A., Perissinotto, F., & Mendeleev, S. (n.d.). Three-dimensional arithmetic billiards. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/47098. |
![]() ![]() | Olli Järviniemi, PERUCCA, A., & Pietro Sgobba. (n.d.). Unified treatment of Artin-type problems II. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52916. |
![]() ![]() | Perucca, A. (n.d.). Rubik's Snakes: Learn and Play. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/52977. |
![]() ![]() | Perucca, A. (n.d.). TikZ is more than meets the eyes. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/53003. |
![]() ![]() | Perucca, A. (n.d.). Math in disguise. |
![]() ![]() | PERUCCA, A., & Nesterenko, O. (n.d.). Numeral coins for numeral systems. In Beiträge zum Mathematikunterricht (Tagungsband GDM) (2024). WTM-Verlag Münster. |
![]() ![]() | Perucca, A. (n.d.). Art and Data Science: a model by pupils. |
![]() ![]() | Benoist, A., & Perucca, A. (n.d.). The ternary cyclotomic polynomials Φ_3pq. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/55534. |
![]() ![]() | Perucca, A. (n.d.). Addition walls. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/55772. |
![]() ![]() | Perucca, A. (n.d.). Congruence theorems for convex polygons involving heights. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/55781. |