Research Publications

All my research publications are available on the Arxiv

  1. Menny Aka. “Profinite Completions and Kazhdan's Property (T)”. Groups Geometry and Dynamics 6(2012), no. 2, 221-229.

  2. Menny Aka. “Arithmetic Groups with Isomorphic Finite Quotients”. Journal of Algebra 352 (2012) 322-340.

  3. Menny Aka, Tsachik Gelander, Gregory Soifer. “Homogeneous number of free generators in SLn(Z)”. Journal of Group Theory 17 (2014), 525 – 539.

  4. Menny Aka, Emmanuel Breuillard, Lior Rosenzweig and Nicolas de Saxcé. “Diophantine properties in nilpotent groups”. Compostio Mathematica 151 (2015), no. 6, 1157–1188.

  5. Menny Aka and Manfred Einsiedler. “Duke’s Theorem for subcollections”. Ergodic Theory Dynamical. Systems 36 (2016), no. 2, 335–342.

  6. Menny Aka and Uri Shapira. “On the evolution of continued fractions in a fixed quadratic field.” Journal d’Analyse Mathematique 134 (2018), no. 1, 335–397.

  7. Menny Aka, Emmanuel Breuillard, Lior Rosenzweig and Nicolas de Saxcé, “On metric Diophantine approximation in matrices and Lie groups”. Comptes Rendus Math. Acad. Sci. Paris 353 (2015), no. 3, 185–189.

  8. Menny Aka, Manfred Einsiedler and Uri Shapira. “Integer points on spheres and their orthogonal grids”. Journal London Mathematical Society (2016) 93(1): 143-158.

  9. Menny Aka, Manfred Einsiedler and Uri Shapira. “Integer points on spheres and their orthogonal lattices. Inventiones Mathematicae 206 (2016), no. 2, 379–396.

  10. Menny Aka, Emmanuel Breuillard, Lior Rosenzweig and Nicolas de Saxcé. “Diophantine approximation on matrices and Lie groups”. Geometric and Functional Analysis 28 (2018), no. 1, 1–57.

  11. Menny Aka, Manfred Einsiedler, Han Li und Amir Mohammadi. “On effective equidistribution for quotients of SL(d)”. Israel J. Math. 236 (2020), no. 1, 365–391.

  12. Menny Aka, Manfred Einsiedler and Andreas Wieser. “Planes in four-space and four associated CM points”. Duke Mathematical Journal 171(7): 1469-1529.

  13. Menny Aka. “Continued fractions on arithmetic sequences of quadratics”, Expositiones Mathematicae 38 (2020), no. 3, 397–406.

  14. Menny Aka, Manuel Luethi, Philippe Michel and Andreas Wieser, “Simultaneous supersingular reductions of CM elliptic curves”, Journal für die reine und angewandte Mathematik (Crelles Journal), 16. vol. 2022, no. 786, 2022, pp. 1-43.

  15. Menny Aka, Andrea Musso and Andreas Wieser. “On equidistribution of planes in four space and refinements”. Submitted

  16. Menny Aka, “Joinings classification and applications”, Seminare Bourbaki Expose 1185, in press.

Book projects

  1. Menny Aka, Manfred Einsiedler and Thomas Ward A journey through the realm of numbers—from quadratic equations to quadratic reciprocity. Springer Undergraduate Mathematics Series. Springer, Cham, [2020], xix+344 pp. ISBN: 978-3-030-55233-6; 978-3-030-55232-9

    See our Book Website for Errata, sage solutions and more information. This book stemmed from our course at the ETH Studienwoche.

  2. 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 and being translated to English for the new English/German linear algebra course.

  3. Lecture notes for Analysis I/II for D-BAUG Link to Moodle page. Email me for access if needed.

  4. Lecture notes for Analysis III for D-BAUG Link to Moodle page. Email me for access if needed.

  5. Lecture notes for lineare Algebra for D-BAUG Link to Moodle page. Email me for access if needed.

Education related publications

  1. Menny Aka Using Applets in math courses, Interactive version
  2. Short summary of Using Applets in math courses in Proceedings of the ETH learning and teaching fair 2018, Poster
  3. Menny Aka, Meike Akveld, Alexander Caspar, Gerd Kortemeyer and Marinka Valkering-Sijsling, “In-Class Formative Assessment in an Introductory Calculus Class”, ELEED 13 (1), 2020.
  4. Menny Aka. Storytelling in math education in preparation (email me for a draft)
  5. Menny Akka Ginosar, Meike Akveld, Alexander Caspar, Laura Keller, Andreas Steiger, “Large-scale flipped classroom with a single lecturer”, Vol. 2 No. 2 (2020): Special issue: ICED 2020 proceedings