Publication of "On the maximum gonality of a curve over a finite field"

My paper with Xander Faber and Everett Howe, "On the maximum gonality of a curve over a finite field" appeared in Algebra & Number Theory earlier this year. This is probably the fanciest journal my work has appeared in, though I owe most of the fanciness to my co-authors.

Publication of "Ternary and quaternary curves of small fixed genus and gonality with many rational points" in Experimental Mathematics

I haven't kept up this blog in a couple of years, and I've had a few articles appear since then. Let's try to get caught up.

My paper with Xander Faber, "Ternary and quaternary curves of small fixed genus and gonality with many rational points" appeared in Experimental Mathematics in 2023.

Preprint of "On the Maximum Gonality of a Curve over a Finite Field" on the math arXiv

 

A preprint of my paper with Xander Faber and Everett Howe, "On the Maximum Gonality of a Curve over a Finite Field" has appeared on the math arXiv. This is the conclusion to the "Gonality Trilogy".

"Binary curves of small fixed genus and gonality with many rational points" appears in Journal of Algebra

 

My paper with Xander Faber, "Binary curves of small fixed genus and gonality with many rational points" appeared in the 1 May 2022 issue of the Journal of Algebra. This is my 12th publication (although its print publication precedes our ternary/quaternary paper, so I will have to renumber at some point).

"Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points" Appears Online in Experimental Mathematics

 

My paper with Xander Faber, "Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points," has appeared in Experimental Mathematics online. Based on my estimate of the journal's backlog, I expect print publication in 2023.

This is my tenth journal article published, although I may have to re-do the numbering in 2023.

"A recent conjecture by Faber-Grantham"

What's even better than writing a paper? Having someone else write one answering a question you asked. In "Ternary and Quaternary Curves of Small Fixed Genus and Gonality with Many Rational Points," Xander Faber and I conjectured:

In a recent preprint, Floris Vermeulen proved this conjecture.

Preprint of "Ternary and Quaternary Curves of Small Fixed Genus and Gonality with Many Rational Points" available on the arXiv

 Xander Faber and I have made the second paper in our Gonality Trilogy available on the math arXiv.

Video of "Binary and Ternary Curves of Fixed Genus and Gonality with Many Points"

I am happy to say that the video of my talk at NTOC 2020, "Binary and Ternary Curves of Fixed Genus and Gonality with Many Points" is available for viewing online. (This represents joint work with Xander Faber.) As far as I can tell, this is the first talk of mine to be publicly available for viewing. I am hoping it is the first of many!

"Binary and Ternary Curves of Fixed Genus and Gonality with Many Points" at Number Theory Online Conference

Here are the slides from a talk I just gave at the Number Theory Online Conference.

Preprint of "Binary Curves of small fixed genus and gonality with many rational points" on arXiv

A preprint of my paper with Xander Faber, "Binary Curves of small fixed genus and gonality with many rational points," is now available at the arXiv.

"Binary Curves of Fixed Genus and Gonality with Many Points" at West Coast Number Theory 2019

I just realized I never posted my slides from WCNT 2019. I spoke about "Binary Curves of Fixed Genus and Gonality with Many Points." It is joint work with Xander Faber. We should have a preprint with updated results coming out soon.