Manuel Luethi (a.k.a. Manuel Lüthi!)

I'm a mathematics PhD and former economist with experience in softwaredevelopment and data analysis of financial, ecological, and clinical data. I'm broadly interested in the development and application of software solutions and quantitative methods in settings requiring high degrees of accuracy, e.g., medical research, health care, public health research, and finance.

Having extensive experience with inferential statistics, my current focus is on machine learning techniques, with particular interests in causal inference, targeted learning, interpretable machine learning, and designs of deep learning architectures.

From October 2019 to August 2025 I worked as an independent researcher funded by the SNF and the ISF at Tel Aviv University, EPFL, and ETHZ. I have collaborated across the globe and published various works in collaboration with Menny Aka, Manfred Einsiedler, Osama Khalil, Taylor McAdam, Philippe Michel, Nimish Shah, Barak Weiss, and Andreas Wieser.

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

Professional experience outside of mathematical research

Most of the code I produce(d) can not be made publicly available. Whenever I find the time, I do some coding on the side, mostly for exploring applications of machine learning or for exploratory analysis of certain algorithms, e.g., the quality of approximation and rates of convergence for certain machine learning algorithms with known data generation mechanisms. This is part of my own learning experience. Some of the code can be found on my GitHub profile. The public repositories are all work in progress.

Mathematical Research

Measure rigidity and fractals.

Joint with Osama Khalil and Barak Weiss. In preparation.

Talk at IHP Arxiv

Quantitative disjointness.

Joint with Menny Aka, Manfred Einsiedler, Philippe Michel, and Andreas Wieser. In preparation.

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.

Published

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)