When Numbers Start Moving
How can integers behave like motion?
Mar 3, 2026 · 31 min · 20 segments
In this conversation, Dr. Bryna Kra discusses her journey in mathematics, focusing on her research, dynamical systems, the importance of collaboration, and the role of the American Mathematical…
Bryna KraGuest
So what this is is it's a branch of dynamics where I study abstract properties of systems and how they evolve in time.

What's a system? It's just a bunch of objects and a rule with how they evolve over time.

And what I try to do is make general predictions as to what kind of behavior has to show up, uh, in the long term.

It doesn't-- One could apply it to concrete things like planets rotating around the sun.

That's a very concrete dynamical system because we have a rule for how the planets move.

But what I do is ones that all systems share these general properties, and I try to study them from a very abstract point of view.

So what this is is it's a branch of dynamics where I study abstract properties of systems and how they evolve in time.

What's a system? It's just a bunch of objects and a rule with how they evolve over time.

And what I try to do is make general predictions as to what kind of behavior has to show up, uh, in the long term.

It doesn't-- One could apply it to concrete things like planets rotating around the sun.

That's a very concrete dynamical system because we have a rule for how the planets move.

But what I do is ones that all systems share these general properties, and I try to study them from a very abstract point of view.
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When Numbers Start Moving
How can integers behave like motion?
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Here’s why complacency threatens mathematics today
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