## In pursuit of obfuscation

## Two rigid algebras and a heat kernel

## Basic loci of Shimura varieties

In mod-$p$ reductions of modular curves, there is a finite set of supersingular points and its open complement corresponding to ordinary elliptic curves. In the study of mod-$p$ reductions of more general Shimura varieties, there is a "Newton stratification" decomposing the reduction into finitely many locally closed subsets, of which exactly one is closed. This closed set is called the basic locus; it recovers the supersingular locus in the classical case of modular curves.

## On Zimmer's conjecture

The group $\mathrm{SL}_n(\mathbb Z)$ (when $n > 2$) is very rigid, for example, Margulis proved all its linear representations come from representations of $\mathrm{SL}_n(\mathbb R)$ and are as simple as one can imagine. Zimmer's conjecture states that certain "non-linear" representations ( group actions by diffeomorphisms on a closed manifold) come also from simple algebraic constructions.

## Unwinding the amplituhedron

## Mathematics and Music: Vibrating Strings and Overtones

## Donald Trump, Angela Merkel, and China: The Dawning of a New Global Order?

## What a (Modern) Monk Does: Digitally Preserving Endangered Manuscripts in Threatened Communities

## Buddhist Temple Food and Globalization in South Korea

Seungsook Moon on Food, Culture and Globilzation of Buddhist Temple Food