Cassandra (Cass) Halleck-Dubé

Seminar

Mathematics and AI Seminar

Seminar information is maintained at this page.

About the seminar

In response to the rapid advancement of AI capabilities in research mathematics, I am co-organizing a seminar at the MPIM to discuss community norms, institutional policy, and ethical considerations surrounding AI use. Each week focuses on a different topic for discussion, guided by the interests of the participants. The seminar is open to any members of the Bonn mathematics community, broadly construed. The full prospectus can be found here.

Practical information

When
Fridays, 15:45-16:45, ongoing
Where
MPIM Lecture Hall (Zoom link available upon request)
Organizers
Cass Halleck-Dubé and Andrin Hirschi

Schedule

The seminar schedule will be added here as it is planned. Any participants interested in leading a week's discussion on a topic they consider especially important should email the organizers.

Community debrief: How has AI been useful, harmful, or surprising in your mathematical work, daily activities, or life?

To open the series, several members of the community volunteered to give 3–5 minute short stories about a personal experience with, emotional reaction to, or prediction for AI. The goal was to map out our collective perspectives, interests, and concerns to guide future sessions. Topics of particular interest emphasized by the community include: the future of mathematical publication, issues of AI plagiarism, bootcamps on the use of AI for mathematical research and formal verification, and misalignment and breakout incidents by AI.

Community polls on AI use and policy.

In this meeting, we polled the attendees on a range of issues relevant to community use of AI. The full results of the poll can be found here.

AI Usage Classification

Two versions of an AI usage classification will be presented and then discussed. In David Prinz's proposal, authors declare how much AI contributed to each aspect of their work, from language editing to theorem proving, on a scale from 0 to 4. In Andrin Hirschi's proposal, the amount of human understanding in a paper is classified in one number.

Digesting the OpenAI preprints: Legibility, Correctness, and Insight

Following the sudden release on October 6th by OpenAI of claimed proofs of nearly 400 mathematical results, we invite multiple volunteers to investigate one of the preprints in an area relevant to their research, and to present their findings with regard to the following questions.

  1. Is the result true? (to the best of their judgment)
  2. Are the essential insights of the proof intelligible?
  3. Is the document written in a way consistent with community standards?
  4. Were existing papers and prior literature related to the problem appropriately cited?
  5. Is OpenAI's treatment of these results consistent with the guidelines of the IAS advisory group for the release of AI-generated mathematical results?

After the volunteers present their experience and findings, we will proceed with a community discussion. We will target both 1) strategies to digest these papers and 2) recommendations for OpenAI or the advisory board on how to improve the process.

If the result investigated has an associated Lean proof, volunteers with experience in Lean are encouraged to investigate (possibly with AI assistance) whether the Lean proof reflects the same argument as the informal proof.

(Tentative) Mathematical journals and career assessment for mathematicians

TBD

(Tentative) Bootcamp on AI use in personal research

TBD

(Tentative) Bootcamp on automated formal verification

TBD

Resources

Reading lists, notes, and other materials will be linked here.