## Welcome!

I am a PhD student at the Einstein Institute of Mathematics and the Federmann Center for the Study of Rationality at the Hebrew University of Jerusalem, Israel. My advisor is Prof. Nati Linial.

I am interested in high-dimensional combinatorics, especially random high-dimensional permutations and designs. I also enjoy thinking about random (hyper) graphs and (hyper) graph processes.

I am the librarian at the Federmann Center for the Study of Rationality. Please send submissions to the Center's Discussion Paper series to my email, below.

Here is my curriculum vitae.

### Contact Information

Email: menahem.simkin followed by @ followed by mail.huji.ac.il
Office: Ross 66, Givat Ram campus of the Hebrew University.

### My Favorite Open Problem

An order-$n$ Latin square is an $n \times n$ matrix in which every column and every row contains all the values from $[n]$. This is equivalent to an $n \times n \times n$ $(0,1)$-array in which every row, column, and "shaft" contains a single $1$. Let $A$ be a random $n \times n \times n$ $(0,1)$-array in which the $n^3$ entries are independent random variables that equal $1$ with probability $p$. What is the threshold function $p(n)$ above which $A$ contains a Latin square with high probability?

I have TAed the following courses, all at Hebrew University:

• Spring 2019: Linear Algebra 2: Second undergraduate course in linear algebra.
• Spring 2018: Linear Algebra 1: First year undergraduate course in linear algebra.
• Fall 2018, Fall 2017, and Fall 2016: Mathematical Tools in Computer Science: Graduate course for CS students. Topics include:
• Probability (emphasizing the probabilistic method).
• Linear algebra: Spectral theorems and singular value decomposition for real matrices.
• Markov chains.
• Linear programming.
• Spring 2017 and Fall 2015: Topics in Analysis for Computer Science Students: Second year undergraduate course for CS students. Topics include:
• Convexity.
• Norms, inner products, Banach and Hilbert spaces.
• Notions of convergence for function sequences.
• Fourier series.
• Spring 2016 and Spring 2015: Infinitesimal Calculus 2 for Computer Science Students: Second course in undergraduate calculus.

Noam Yonat learns about triangle decompositions.

With Shanee in the French Alps.

Carrying Noam up Har HaTayasim.

Aqaba... seems more colorful in real life.