in Computational science, Mathematics And Physics

ZUCCMAP will start taking place in the 3rd week of Spring semester on **Tuesdays** from **12:15 to 13:00** in **HG G5**, with every talk followed by an apéro!

If you want to give a talk, please fill this form.

Tuesday, May 2nd • 12:15 • HG G 5

Nicolas Hotton

**Beyond CLT, how wild can random eigenvalues behave?**

** Abstract: What happens to the eigenvalues of a symmetric matrix where the entries result from coin tosses? To answer that question we will give a gentle introduction to the field of random matrix theory. We will state a central limit theorem for the eigenvalues of symmetric matrices with rather generic random entries. We will then discuss a combinatorial proof strategy involving the method of moments.**

We run a weekly colloquium where students present topics from diverse areas in mathematics and physics.

**The talks are followed by an Apéro**, giving you the chance to mingle in informal atmosphere over some delicious food!

All talks are aimed at undergraduate students (from the first semester on!), so don’t let the titles scare you! Who knows, maybe you’ll find a topic for your Bachelor’s thesis or other independent work!

**12.03**- Matthias Bonvin:*Group Theory for Neural Network***19.03**- Lukas Münzel:*Progress, Machine Learning, and Why to Be Optimistic About the Future***26.03**- Daniel Gotsmann:*Stellar Spectroscopy and Classifying Stars***09.04**- Jonatan Wächter:*Scaling Limits of Grid Curves, in Particular Some Non-Markovian Models***16.04**- Esty Gusak:*A Friendly Introduction to Isogeny Cryptography***23.04**- Mert Ünsal:*Graphs Can Have Eigenvalues - and They Mean a Lot***30.04**- Asaf Amitai:*0x5f3759df and the Fast Inverse Square Algorithm***07.05**- Nicolas Hotton:*Beyond CLT, how wild can random eigenvalues behave?***14.05**- Alexandre Faroux:*Better than Einstein ? On Bachelier’s Theory of Speculation***21.05**- Jessica Prendi:*How Do We Discover New Physics?*

Giving talks is a critical part of any scientist's career and so presenting to a group of fellow students in a familiar environment, is an easy way to get started. We also hope to provide a platform for students to practice their presentation with a live audience before their thesis defense. If you’re interested in giving a talk, please fill this form.

(Note: You do *not* need to be an undergraduate to give a talk.)

- Topological Data Analysis (Persistent Homology) Siddharth Setlur
- Physics-Informed Neural Networks (Mathematical Guarantees) Tim De Ryck
- Black Holes and Gravitational Waves Jayant Rao
- Semiclassical Analysis Aaron Moser
- From Mathematical Finance to Moral Hazard Kevin Zhang
- Isoperimetric Inequality Nuo Chen
- Quategories Han-Miru Kim
- The Local-Global Principle Johann Birnick
- Quantum Wine Tasting Alexander Jürgens
- Existence and Regularity of Weak Solutions to the Navier-Stokes Equation Dominik Schlagenhauf
- Affine Group Schemes and Tannakian Categories Gabriel Frey
- A Journey Through Systems Biology, Simulations and Body Hacking Roman Kotovich
- Oriented Percolation, or How to Never Fail Coffee Again Philémon Borderaux
- How Does a Mass Point Move on a Donut? Vladimir Nowak
- Markov's Theorem on Diophantine Approximation and the Uniqueness Conjecture Ana Marija Vego
- Deconstructing the 2022 Physics Nobel Prize: Quantum Entanglement and CHSH Inequalities Michael Eichenberger
- An Introduction to Time Frequency Analysis Jaime Gomez
- Primes, Means, and Logs Sinan Deveci, paper on arxiv
- Optimal transport: a tale of bank robbers, Terminators, and Christmas gifts Arthur Schichl
- Quantum fields: the fundamental components of our universe Mika Lauk
- Protecting 5G networks against DDoS attacks : a case study in discrete optimization Thibault Vignon

We thank the VMP for their support. Also, we would like to thank the IT Services, the Maths Department, and the FIM, for all the exceptions they made for us. ;)

ZUCCMAP was initiated in autumn 2020 by Alexander Uhlmann, Jinghao Cao, and Silvio Barandun. Later, it has been organized by all ETH students below:

- Birnick, Siddharth Setlur (Spring 2022)
- Alessandra Iacopino, Ana Pavlaković (Autumn 2022)
- Thibault Vignon, Philémon Borderaux (Spring 2023)