Here is a 3-paragraph summary suitable for mathopen.com:
**Open Problems, Open Mathematics**
In this guest post, mathematician Antonio Auffinger reflects on his experience working at the boundaries of pure mathematics and other scientific disciplines. Over the past decade, he has spent significant time in conversation with biologists, computer scientists, and physicists, finding that these cross-disciplinary exchanges have deeply shaped how he thinks about mathematical research and the kinds of questions worth pursuing.
A central theme of the post is the value of open problems in mathematics. Rather than viewing unsolved questions as gaps or failures, Auffinger frames them as engines of discovery, driving collaboration and creativity across fields. Engaging with scientists from other disciplines has reinforced his belief that the most interesting mathematical challenges often arise at the intersection of ideas, where different ways of thinking collide and spark new directions.
Auffinger ultimately makes a case for a more open and collaborative culture in mathematics, one that embraces uncertainty and welcomes contributions from unexpected places. By staying curious and receptive to questions from outside pure math, researchers can find fresh motivation and new tools for tackling long-standing problems. The post serves as an invitation to the mathematical community to look outward and recognize the richness that comes from keeping both problems and minds open.