@emilyriehl.bsky.social
Reposted
While reporting, I stumbled across a recent talk that Tao gave on the subject of his latest research. youtu.be/cXqz5hgxlLM
August 1, 2025 at 6:29 PM
While reporting, I stumbled across a recent talk that Tao gave on the subject of his latest research. youtu.be/cXqz5hgxlLM
Reposted
Math at UCLA suffered the greatest blow.
I spoke with Terry Tao—Fields Medalist and arguably the preeminent mathematician of his generation—who is apparently now doing his summer research in number theory without external funding.
I spoke with Terry Tao—Fields Medalist and arguably the preeminent mathematician of his generation—who is apparently now doing his summer research in number theory without external funding.
August 1, 2025 at 6:29 PM
Math at UCLA suffered the greatest blow.
I spoke with Terry Tao—Fields Medalist and arguably the preeminent mathematician of his generation—who is apparently now doing his summer research in number theory without external funding.
I spoke with Terry Tao—Fields Medalist and arguably the preeminent mathematician of his generation—who is apparently now doing his summer research in number theory without external funding.
In particular, I'll be highlighting three essays by
@federicoardila.bsky.social, Denis R. Hirschfeldt, and @ijlaba.bsky.social linked from the last page of the slides.
@federicoardila.bsky.social, Denis R. Hirschfeldt, and @ijlaba.bsky.social linked from the last page of the slides.
July 7, 2025 at 10:43 AM
In particular, I'll be highlighting three essays by
@federicoardila.bsky.social, Denis R. Hirschfeldt, and @ijlaba.bsky.social linked from the last page of the slides.
@federicoardila.bsky.social, Denis R. Hirschfeldt, and @ijlaba.bsky.social linked from the last page of the slides.
This talk revisits a conversation held at Johns Hopkins in 2019 the proceedings of which were published by the
@amermathsoc.bsky.social
bookstore.ams.org/mbk-140
@amermathsoc.bsky.social
bookstore.ams.org/mbk-140
A Conversation on Professional Norms in Mathematics
bookstore.ams.org
July 7, 2025 at 10:43 AM
This talk revisits a conversation held at Johns Hopkins in 2019 the proceedings of which were published by the
@amermathsoc.bsky.social
bookstore.ams.org/mbk-140
@amermathsoc.bsky.social
bookstore.ams.org/mbk-140
the mathematical landscape. We will raise questions related to building communities in which all mathematicians can flourish, rewarding collective work, organizing labor, confronting climate change, and anticipating AI.''
July 7, 2025 at 10:43 AM
the mathematical landscape. We will raise questions related to building communities in which all mathematicians can flourish, rewarding collective work, organizing labor, confronting climate change, and anticipating AI.''
Norms are local — they are how individuals interact with each other and how individuals act in an institution — and global — our work at the local level building community glues to the work of our colleagues at other institutions, creating a systemic awareness and change across
July 7, 2025 at 10:43 AM
Norms are local — they are how individuals interact with each other and how individuals act in an institution — and global — our work at the local level building community glues to the work of our colleagues at other institutions, creating a systemic awareness and change across
Abstract: ``This talk will report on a multi-year conversation that aims to critically examine the cultural practices that affect the mathematics profession with a particular focus on our often unstated professional norms.
July 7, 2025 at 10:43 AM
Abstract: ``This talk will report on a multi-year conversation that aims to critically examine the cultural practices that affect the mathematics profession with a particular focus on our often unstated professional norms.
Today is the final stop on the @londmathsoc.bsky.social
Hardy Lecture Tour. I'm in Bristol to give a talk entitled “A conversation on professional norms in mathematics”
Slides are here:
emilyriehl.github.io/files/norms-...
Hardy Lecture Tour. I'm in Bristol to give a talk entitled “A conversation on professional norms in mathematics”
Slides are here:
emilyriehl.github.io/files/norms-...
emilyriehl.github.io
July 7, 2025 at 10:43 AM
Today is the final stop on the @londmathsoc.bsky.social
Hardy Lecture Tour. I'm in Bristol to give a talk entitled “A conversation on professional norms in mathematics”
Slides are here:
emilyriehl.github.io/files/norms-...
Hardy Lecture Tour. I'm in Bristol to give a talk entitled “A conversation on professional norms in mathematics”
Slides are here:
emilyriehl.github.io/files/norms-...
Today's program at the LMS General Meeting also features a lecture by Clark Barwick on "The geometry of ∞-categories".
July 4, 2025 at 11:56 AM
Today's program at the LMS General Meeting also features a lecture by Clark Barwick on "The geometry of ∞-categories".
We argue that deploying a bespoke synthetic formal system for a particular kind of mathematical object — ∞-categories in this instance — is a promising tactic to simplifying definitions and proofs, without sacrificing rigor."
July 4, 2025 at 11:56 AM
We argue that deploying a bespoke synthetic formal system for a particular kind of mathematical object — ∞-categories in this instance — is a promising tactic to simplifying definitions and proofs, without sacrificing rigor."
After considering the role that category theory and ∞-category theory play in 20th and 21st century mathematics, we describe a radical potential solution to these problems: to change the foundation system.
July 4, 2025 at 11:56 AM
After considering the role that category theory and ∞-category theory play in 20th and 21st century mathematics, we describe a radical potential solution to these problems: to change the foundation system.
And will proofs that deploy ∞-categorical technology ever become formalizable, verifiable by a computer proof assistant?
July 4, 2025 at 11:56 AM
And will proofs that deploy ∞-categorical technology ever become formalizable, verifiable by a computer proof assistant?
Put more pithily, will we ever be able to distill ∞-category down to the point that it could be taught to undergraduates, much like ordinary 1-category theory is sometimes taught today?
July 4, 2025 at 11:56 AM
Put more pithily, will we ever be able to distill ∞-category down to the point that it could be taught to undergraduates, much like ordinary 1-category theory is sometimes taught today?
Abstract:"While the last decades have seen considerable advances in our understanding of ∞-category theory, experts in the field have not yet solved the problem that confronts users of the theory: namely how to develop proficiency with this technology on a compressed time scale.
July 4, 2025 at 11:56 AM
Abstract:"While the last decades have seen considerable advances in our understanding of ∞-category theory, experts in the field have not yet solved the problem that confronts users of the theory: namely how to develop proficiency with this technology on a compressed time scale.
Today I'll be giving the @londmathsoc.bsky.social Hardy lecture with the title
“Could we teach ∞-category theory to undergraduates or to a computer?”
Slides are finally finished, available here:
emilyriehl.github.io/files/hardy-...
“Could we teach ∞-category theory to undergraduates or to a computer?”
Slides are finally finished, available here:
emilyriehl.github.io/files/hardy-...
emilyriehl.github.io
July 4, 2025 at 11:56 AM
Today I'll be giving the @londmathsoc.bsky.social Hardy lecture with the title
“Could we teach ∞-category theory to undergraduates or to a computer?”
Slides are finally finished, available here:
emilyriehl.github.io/files/hardy-...
“Could we teach ∞-category theory to undergraduates or to a computer?”
Slides are finally finished, available here:
emilyriehl.github.io/files/hardy-...
Next is Egbert Rijke's "Introduction to homotopy type theory" to be published next month by @cambup-polsci.cambridge.org
arxiv.org/abs/2212.11082
arxiv.org/abs/2212.11082
Introduction to Homotopy Type Theory
This is an introductory textbook to univalent mathematics and homotopy type theory, a mathematical foundation that takes advantage of the structural nature of mathematical definitions and construction...
arxiv.org
July 3, 2025 at 11:19 AM
Next is Egbert Rijke's "Introduction to homotopy type theory" to be published next month by @cambup-polsci.cambridge.org
arxiv.org/abs/2212.11082
arxiv.org/abs/2212.11082
Frankly the highlight of this talk is the list of references at the end, starting with Clive Newstead's wonderful textbook "An infinite descent into pure mathematics."
infinitedescent.xyz
infinitedescent.xyz
An Infinite Descent into Pure Mathematics
'Undergraduate pure mathematics textbook with an emphasis on proof-writing and problem-solving skills.
infinitedescent.xyz
July 3, 2025 at 11:19 AM
Frankly the highlight of this talk is the list of references at the end, starting with Clive Newstead's wonderful textbook "An infinite descent into pure mathematics."
infinitedescent.xyz
infinitedescent.xyz
Equally, intuitions built from an early informal introduction to dependent type theory will make it easier for those who aspire to write computer formalized proofs later on."
July 3, 2025 at 11:19 AM
Equally, intuitions built from an early informal introduction to dependent type theory will make it easier for those who aspire to write computer formalized proofs later on."
Thus, there is an opportunity to practice writing proofs in this formal system by interacting with computer proof assistants such as Rocq or Lean.
July 3, 2025 at 11:19 AM
Thus, there is an opportunity to practice writing proofs in this formal system by interacting with computer proof assistants such as Rocq or Lean.
Furthermore, dependent type theory is the formal system used by many computer proof assistants both “under the hood” to verify the correctness of proofs and in the vernacular language with which they interact with the user.
July 3, 2025 at 11:19 AM
Furthermore, dependent type theory is the formal system used by many computer proof assistants both “under the hood” to verify the correctness of proofs and in the vernacular language with which they interact with the user.