What is a proof? And what is a proof assistant? Isn't writing proofs what mathematicians are supposed to do themselves? In this episode, Sander Dahmen and Jim Portegies, will help us explore these questions and introduce us to the fascinating world of fomralizing mathematics. Of course, after taking our time to get to know them better.

<> Wouldn't you agree? Listen to this episode to find out where this quote came from and let us know yuor first experiences with proofs.

Links for the episode:

• Sander Dahmen's website
• Jim Portegies' website
• ⁠Links to Lean, the mathlib library and the mathematics in lean book
• Link to the ⁠natural number game⁠ and more
• Link to waterproof, Jim's constrained natural language proof assistant
• Link to rocq and the math-comp library
• Terence Tao's talk on machine assisted proofs at Simons Fundation on February 19, 2025

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Produced by Marcello Seri and Anna de Bruijn

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Illustrations by Henrieke Krijgsheld

The podcast soundtrack is derived from the royalty free track Starving by OctoSound and used in agreement with pixabay license https://pixabay.com/music/funk-starving-170377

We are grateful to the Faculty of Science and Engineering of the University of Groningen for allowing us to use their equipment for this recording.

You have studied mathematics... now what? In this episode we talk to Sven Bootsma, Max Lein and Oscar Koster about the possibilities for mathematicians that don't pursue a career in academia.

After getting to know them, with their motivations to study math and their hobbies (mainly sports!), we focus on theie career in industry after having studied mathematics . In this long episode we span across many themes and discuss how a mathematician can find a job in industry, what the differences are with working in academia and how students could go about choosing a career after their studies.

This episode is packed with insights and interesting suggestions but only scratches the surface of this interesting discussion, leaving many additional question unanswered waiting for a future afterMath2 episode!

So let us invite you to join us in a future recording: if you are a mathematician and you are not working as an academic, especially if your job is different from the ones that we heard about in this episode, please send us a mail!

And if there is anything that you would like to discuss in the next episodes, let us know in the comments (or sending us a message).

Links for the episode:

• Max Lein's website

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Produced by Marcello Seri and Anna de Bruijn

= = = { 0 } = = =

Illustrations by Henrieke Krijgsheld

The podcast soundtrack is derived from the royalty free track Starving by OctoSound and used in agreement with pixabay license https://pixabay.com/music/funk-starving-170377

We are grateful to the Faculty of Science and Engineering of the University of Groningen for allowing us to use their equipment for this recording.

What does it mean to do research? What does a researcher in mathematics do, effectively, to research? In this episode, we pick up a common question from our listeners, and try to give some partial answer with the help of Pinar Kilicer and Hildeberto Jardón Kojakhmetov. After taking the chance to know them better, we look back at their career and what were the most important moments to grow into research, putting this all in the perspective of the students thanks to the help of Anna.

Episode links:

• Pinar's website
• Hildeberto's website
• Terence Tao talking about his paper rejections on mastodon

= = = { 0 } = = =

Produced by Marcello Seri and Anna de Bruijn

= = = { 0 } = = =

Illustrations by Henrieke Krijgsheld

The podcast soundtrack is derived from the royalty free track Starving by OctoSound and used in agreement with pixabay license https://pixabay.com/music/funk-starving-170377

We are grateful to the Faculty of Science and Engineering of the University of Groningen for allowing us to use their equipment for this recording.