# ymb ## math PhD programs through materialistic lens

A survey of the remunerations of graduate students in math PhD programs in public universities initiated and conducted by Hans Christianson, the Director of Graduate Studies at UNC at Chapel Hill is in, and the results are not hugely surprising. With a few exceptions, the (adjusted for cost of living) yearly stipends are pretty comparable, …

‘Tis the season: applications to our PhD program in mathematics are in (500+ this year), and the delicate process starts, at the end of which we will be richer with a dozen or two bright graduate students. Here’s what is going to happen. Each application will be read by at least two members of the …

## math department and its research

This visual continues the exploration started here. I used the dataset of MathSciNet records of the publications by department members, collected by the IGL participants. Each article reviewed by MSN carries a few MSC codes, roughly classifying them. I used these codes to create a sankey diagram, showing who published in what area. A few …

## merge tree monoid

$$\def\Real{\mathbb{R}}\def\tree{\mathcal{T}}$$ Consider a path metric space $$M$$ and a continuous function $$f:M\to \Real$$. For simplicity, all such pairs here will have sublevel sets of $$f$$ compact (so that the function is bounded from below). Then one can form the so-called merge tree (see, e.g. here, for motivation, and some history), a new topological space (let’s …

## Protected: allons enfants de la patrie

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## Protected: kod*fest

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## analytic combinatorics in several variables (aimath, san jose 4-9.4.2022)

$$\def\Comp{\mathbb{C}}\def\Proj{\mathbb{P}}\def\Nat{\mathbb{N}}$$ This workshop is about complex analytic techniques usable in applications from classical combinatorial problems to asymptotic representation theory and cluster algebras. The scope is approximately what is covered by Pemantle-Wilson(-Melczer) book. I plan to report on what is going on here (reporting is sporadic and idiosyncratic). Lectures are streamed. Day One (all times PDT): …

## derivatives and random matrices

In connection with our IGL project, I remembered a result that might be useful, and is not widely enough known. Let $$z_1\leq \ldots\leq z_N$$ be a sequence of real numbers forming the spectrum of a Hermitian operator $$A$$ acting in $$N$$-dimensional Hermitian space $$U$$:$P_A(z):=\det(zE-A)=\prod_k (z-z_k).$ Proposition: Let $$V$$ be a codimension $$1$$ hyperplane in $$U$$, …

## a US-based university under the blue skies, among yellow fields

It’s time to re-up the old story from voiceofrussia.com (since then rebranded as sputniknews.com). The old link leads to nowhere, but sputniknews still holds the grudge… On the right is what they were saying back then; on the left what the current site shows.Note the three airports! Willard, Rantoul airbase, sure, but what else? Frasca …

## gallery of quadratic differentials, ceramic edition

Designed by Amy Byrum.