Publications
Research publications
All my publications are available on arXiv.
Papers in preparation are listed at the end of this section, and drafts of these are available upon request.
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M. Aka, Arithmetic groups with isomorphic finite quotients, Journal of Algebra 352 (2012), 322–340.
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M. Aka, Profinite completions and Kazhdan’s property (T), Groups, Geometry, and Dynamics 6 (2012), no. 2, 221–229. arXiv:1005.4566.
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M. Aka, T. Gelander, G. Soifer, Homogeneous number of free generators, Journal of Group Theory 17 (2014), no. 4, 525–539. arXiv:1205.1140.
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M. Aka, E. Breuillard, L. Rosenzweig, N. de Saxcé, Diophantine properties of nilpotent Lie groups, Compositio Mathematica 151 (2015), no. 6, 1157–1188. arXiv:1307.1489.
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M. Aka, E. Breuillard, L. Rosenzweig, N. de Saxcé, On metric Diophantine approximation in matrices and Lie groups, Comptes Rendus Mathématique 353 (2015), no. 3, 185–189.
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M. Aka, M. Einsiedler, Duke’s theorem for subcollections, Ergodic Theory and Dynamical Systems 36 (2016), no. 2, 335–342. arXiv:1403.2016.
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M. Aka, M. Einsiedler, U. Shapira, Integer points on spheres and their orthogonal lattices, Inventiones Mathematicae 206 (2016), no. 2, 379–396.
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M. Aka, M. Einsiedler, U. Shapira, Integer points on spheres and their orthogonal lattices, Journal of the London Mathematical Society 93 (2016), no. 1, 143–158.
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M. Aka, U. Shapira, On the evolution of continued fractions in a fixed quadratic field, Journal d’Analyse Mathématique 134 (2018), no. 1, 335–397.
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M. Aka, E. Breuillard, L. Rosenzweig, N. de Saxcé, Diophantine approximation on matrices and Lie groups, Geometric and Functional Analysis (GAFA) 28 (2018), no. 1, 1–57. arXiv:1603.03800.
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M. Aka, M. Einsiedler, A. Wieser, Planes in four-space and four associated CM points, Duke Mathematical Journal 171 (2022), no. 7, 1469–1529. arXiv:1901.05833.
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M. Aka, M. Einsiedler, H. Li, A. Mohammadi, On effective equidistribution for quotients of $\mathrm{SL}(d,\mathbb{R})$, Israel Journal of Mathematics 236 (2020), no. 1, 365–391. arXiv:1607.08464.
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M. Aka, Continued fractions on arithmetic sequences of quadratic irrationals, Expositiones Mathematicae 38 (2020), no. 3, 397–406.
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M. Aka, M. Luethi, Ph. Michel, A. Wieser, Simultaneous supersingular reductions of CM elliptic curves, Journal für die reine und angewandte Mathematik (Crelle) 786 (2022), 1–43. arXiv:2005.01537.
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M. Aka, Joinings classification and applications (after Einsiedler and Lindenstrauss), Séminaire Bourbaki, Exp. 1185, Astérisque 438 (2022), 1–39.
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M. Aka, A. Musso, A. Wieser, Equidistribution of rational subspaces and their shapes, Ergodic Theory and Dynamical Systems 44 (2024), no. 8, 2009–2062. arXiv:2103.05163.
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M. Aka, P. Feller, A. Beth Miller, A. Wieser, Seifert surfaces in the four-ball and composition of binary quadratic forms, preprint, 2023. arXiv:2311.17746.
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M. Aka, Fibonacci sequences in $\mathbb{F}_p$, Fibonacci Quarterly, to appear. arXiv:2508.08016.
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M. Aka, M. Einsiedler, M. Luethi, Ph. Michel, A. Wieser, Quadtitative disjointness and applications, in preparation.
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M. Aka, A. Gorodnik, P. Vishe, Y. Yifrach, Inhomogeneous $p$-adic Littlewood, in preparation.
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M. Aka, K. Andritsch, A. Wieser, Planes in quadratic 4-space and associated shapes of lattices, in preparation.
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M. Aka, A. Wieser, Shapes of unit groups in composite extensions and recurrence sequences, in preparation.
Book projects
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Menny Aka, Manfred Einsiedler and Thomas Ward, A Journey Through The Realm of Numbers. Springer Monographs in Mathematics, Springer International Publishing [2020], xix+344 pp. ISBN: 978-3-030-55233-6; 978-3-030-55232-9
See our Book Website and the related Studienwochen.
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Menny Aka, Lineare Algebra (in German). This project started as a accompanying lecture notes for our linear algebra course of mathematicians and physicists in ETH. Due to is popularity it is being prepared for publication in Springer
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Lecture notes for Analysis I/II for D-BAUG Link to Moodle page. Email me for access if needed.
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Lecture notes for Analysis III for D-BAUG Link to Moodle page. Email me for access if needed.
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Lecture notes for Lineare Algebra for D-BAUG Link to Moodle page. Email me for access if needed.
Education related publications
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Menny Aka, Using Applets in math courses, Interactive version.
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Short summary of “Using Applets in math courses” in Proceedings of the Learning and Teaching Fair 2018.
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Menny Aka, Meike Akveld, Alexander Caspar, Gerd Kortemeyer and Beatrice Rutishauser, “Deep vs. Surface Learning – Using LMS-based Study Habits Data to Inform Formative Assessment in an Introductory Calculus Class”, ELEED 13 (1), 2020.
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Menny Akka Ginosar, Meike Akveld, Alexander Caspar, Laura Keller, Gerd Kortemeyer, “How Do LMS-based Study Habits Change Over a Semester? An Analysis of Study Habits Data for a Large-scale Introductory Calculus Course for Engineering Students”, “The International Journal for Academic Development – Innovative Higher Education Teacher”, Vol. 2 No. 2 (2020): Special issue: ICED 2020 proceedings.
