MixedMath - explorations in math and programing

Slides from a talk at the last Simons Annual Meeting

David Lowry-Duda — Wed, 15 Jan 2025 03:14:15 +0000

Today I'm giving a talk at the last annual meeting¹ ¹It's the 8th of our 7 annual meetings of the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation. It's about Maass forms.

The short of it is: Maass forms are in the LMFDB now, go [check it out](https://www.lmfdb.org/ModularForm/GL2/Q/Maass]! I've given many other talks about Maass forms in the past, and I'm happy to talk more about them.

The slides for my talk are here.

An (updated) brief note on cryptography

David Lowry-Duda — Mon, 30 Dec 2024 03:14:15 +0000

This post is larger than 10000 bytes, which is above the limit for this RSS feed. Perhaps it is long or has embedded images or code. Please view it directly at the url.

Paper: The Fibonacci Zeta Function and Continuation

David Lowry-Duda — Wed, 18 Dec 2024 03:14:15 +0000

This post is larger than 10000 bytes, which is above the limit for this RSS feed. Perhaps it is long or has embedded images or code. Please view it directly at the url.

Odd Fibonacci Zeta Function

David Lowry-Duda — Wed, 04 Dec 2024 03:14:15 +0000

This post is larger than 10000 bytes, which is above the limit for this RSS feed. Perhaps it is long or has embedded images or code. Please view it directly at the url.

Slides from a talk at LSU on Murmuration phenoma in number theory

David Lowry-Duda — Tue, 19 Nov 2024 03:14:15 +0000

I'm giving a talk at LSU on murmurations in number theory, and to a lesser extent about machine learning in number theory.

The slides for my talk are here. I do some relatively fancy (for me) slide shennanigans, so there is no handout form available.

This is closely related to

My paper BBLLD23 on murmurations of modular forms of fixed level and increasing weight.
My paper BLLDSHZ24 on murmurations of Maass forms of fixed level and weight and increasing eigenvalue.
This discussion page on modular murmurations.
This experimental description page on Maass murmurations.
My talk from last week, which is in some sense a sequel to this talk.

See also Quanta's article on murmurations.

Slides from a talk at the Simons Center for Geometry and Physics on Murmurations and trace formulas

David Lowry-Duda — Wed, 13 Nov 2024 03:14:15 +0000

I'm giving a talk at the Simons Center for Geometry and Physics today on murmurations and trace formulas.

The slides for my talk are here. (An actual slide version, with pauses, is here.

This is closely related to

My paper BBLLD23 on murmurations of modular forms of fixed level and increasing weight.
My paper BLLDSHZ24 on murmurations of Maass forms of fixed level and weight and increasing eigenvalue.
This discussion page on modular murmurations.
This experimental description page on Maass murmurations. A different version of the plots on that page appear in this talk.

See also Quanta's article on murmurations.

Slides from a talk at Harvard on Machine Learning and the Möbius Function

David Lowry-Duda — Tue, 29 Oct 2024 03:14:15 +0000

I'm giving a talk at Harvard's CMSA today. The title of the talk is Exploring patterns in number theory with deep learning: a case study with $\mu(n)$ and $\mu^2(n)$.

The slides for my talk are here.

General report on machine learning experiments for the Möbius function

David Lowry-Duda — Sat, 19 Oct 2024 03:14:15 +0000

This post is larger than 10000 bytes, which is above the limit for this RSS feed. Perhaps it is long or has embedded images or code. Please view it directly at the url.

Technical report on machine learning experiments for the Möbius function

David Lowry-Duda — Sat, 19 Oct 2024 03:14:15 +0000

This post is larger than 10000 bytes, which is above the limit for this RSS feed. Perhaps it is long or has embedded images or code. Please view it directly at the url.

code4math research community: call for contributors

David Lowry-Duda — Fri, 18 Oct 2024 03:14:15 +0000

The code4math community is organizing some events for next year. One of these is a monthly community call and presentation (more on that later).

We are also currently in the process of proposing an AIM Research Community.

If this is something that you think you would like to be involved in but currently aren't, let me or one of the other organizers know.