Manuel Luethi (a.k.a. Manuel Lüthi!)

Since September 2021 I am a PostDoc at EPFL under the guidance of Philippe Michel.

From October 2019 to September 2021 I was lucky to be a PostDoc at the Tel Aviv University working with Barak Weiss.

From March 2015 to October 2019 I did a PhD at ETHZ, where I also did my undergraduate studies. My advisor was Manfred Einsiedler.

For the period from October 1, 2018 to March 31, 2019 I visited the Einstein Institute of Mathematics at the Hebrew University enjoying an SNSF Doc.Mobility Fellowship.

For more details, you can find a curriculum vitae here.

Written Papers

Random walks, spectral gaps, and Khintchine's theorem on fractals.

Joint with Osama Khalil. Invent. Math.

PDF Published

Simultaneous supersingular reductions of CM elliptic curves.

Joint with Menny Aka, Philippe Michel, and Andreas Wieser. J. Reine Angew. Math., to appear.

Arxiv

Primitive rational points and higher powers on expanding horocycles in the modular surface.

Joint with Manfred Einsiedler and Nimish Shah. Ergod. Theory Dyn. Syst.

Arxiv Published

Effective equidistribution of primitive rational points on expanding horospheres in Hilbert modular surfaces.

J. Number Theory.

Arxiv Published

Kloosterman Sums, Disjointness, and Equidistribution.

Joint with Manfred Einsiedler. In: Ferenczi S., Kułaga-Przymus J., Lemańczyk M. (eds) Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics. Lecture Notes in Mathematics, vol 2213. Springer, Cham

Chapter Book

Miscellaneous notes and other articles

Reflections on diverse and inclusive teaching.

Joint with Meike Akveld. In: ETH Learning and Teaching Journal, vol. 3, no. 1, 36-44 (2022)

Article Journal

Self-assessment in student seminars in mathematics.

Joint with Andreas Wieser. In: ETH Learning and Teaching Journal, vol. 1, no. 2, 49-57 (2020)

Article Journal

A motivated proof of the singular value decomposition

A proof of the singular value decomposition avoiding matrices in order to give a better geometric motivation. A write up of the proof provided in this course on Linear Algebra by Meike Akveld.

PDF

A genuinely linear proof of joint diagonalizability

A proof avoiding the minimal polynomial of the fact that a family of commuting, diagonalizable matrices is jointly diagonalizable. A reorganized write up of the sample solution to an exercise posed in this course on Linear Algebra by Meike Akveld.

PDF

Teaching

Spring 2023: Lecturer for Algebraic Number Theory .
Winter 2022: Lecturer for Introduction to Analytic Number Theory joint with Petru Constantinescu
Spring 2022: Lecturer for Algebraic Number Theory .
Winter 2021: TA for Algèbre linéaire avancée I .
Spring 2019: Lecturer for student seminar on Primes of the form x²+ny² Joint with Menny Aka and Andreas Wieser .
Spring 2018: Lecturer for student seminar on Homogeneous dynamics and counting problems . Joint with Andreas Wieser .
Other teaching experience.: In addition, during my PhD at ETHZ, I was the coordinator for the first year course in linear algebra (Autumn 16, Spring 17, Autumn 17, Spring 18), which involves preparation of the exercises, the exams and the solutions as well as organization of the respective events. I was also coordinating a one year course on Lie groups and their unitary representations (Autumn 15, Spring 16). Previously, I was a teaching assistant in Functional Analysis II.