PODCAST

Mathing with Dan and Bianca

Dan Erman and Bianca Viray

We give a glimpse of how mathematics looks to working mathematicians.

science mathematics

All Episodes

00:53:56

Episode 5: Mathematical Atoms

Mathing with Dan and Bianca ·

2026/08/19

In this episode, we discuss we consider the periodic table as a metaphor for certain mathematical structures, and we discuss the extent to which various theorems or research fit or don't fit into that paradigm.

01:12:19

Episode 4: Most Valuable Theorems

Mathing with Dan and Bianca ·

2026/08/06

We welcome math professor (and our close friend) Tony Várilly-Alvarado as guest. We ask: "What is the most valuable theorem that you cover in [various courses]?" We cover second semester calculus, linear algebra, graduate algebra, and graduate number theory, and you can hear our hot takes on trig substitution, the Rank-Nullity Theorem, and the Sylow Theorems.

00:41:37

Episode 3: The act of research

Mathing with Dan and Bianca ·

2026/07/06

In this episode, we discuss aspects of doing like what makes for a good research problem, what to do when you're stuck, and how to avoid proving false things.

00:39:11

Episode 2: Our Favorite Advice

Mathing with Dan and Bianca ·

2026/06/16

In this episode, we discuss some of the best advice we've received, and how it shaped our research.

00:49:29

Episode 1: Solving Equations

Mathing with Dan and Bianca ·

2026/06/15

In this episode, we explore how various modern research topics in algebra and number theory stem from the fundamental desire to understand solutions to polynomial equations.

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Mathing with Dan and Bianca

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