Daniel Havens

Academics

Research Interests

My research interests are primarily in analytic number theory, discrete analogues in harmonic analysis, and post-quantum cryptography.

I also dabble in order theory and the theory of closure operations, and have a passing interest in dimension theory.

Selected Presentations

The Hardy-Littlewood Circle Method and Higher Order Fourier Analysis, University of New Mexico, November 11, 2023.

Prime Problems Throughout History, Math and More, Coffee and Talks, August 28, 2023.

Closures, Completions, and Topological Takeaways, 48th Annual New York Regional Mathematics Conference, April 1, 2023.

Humanizing Math Education, UNM Spring Teaching Conference 2023, March 22, 2023. Joint presentation with A. Bell and J. Garcia

Preposterous Post-Quantum Cryptography, Utah Valley University, September 9, 2022.

Progress on the Riemann Hypothesis, KU Leuven, March 25, 2022. Joint presentation with J. Hutsebaut, M. Wallenus, B. Güzel, A. Slabbinck, and T. Biesbrouck.

Evolutes that don’t Evolve, JMM Undergraduate Poster Session, January 6-9, 2021.

Course Notes

Please see my university website at https://www.unm.edu/~dwhavens/ for my course notes and other learning materials.

Non-Academics

Crafting

Outside of academia, I enjoy crafting. I have historically made jewelry on the side, and nowadays I enjoy bookbinding and knitting. I dabble in paper marbling and sketching, and you will find pictures of my work scattered throughout this website.

Reading

Like any good academic, I have a healthy appreciation for reading as well. For fantasy, I am an avid enjoyer of Brandon Sanderson’s works (as a Utah native, I am biased towards his works), but my favorite author is actually Ursula K. Le Guin, as her Earthsea books have long been my favorite stories written. The Witcher short stories by Andrej Sapkowski are favorites of mine (I prefer the short stories to the longer form content he writes), and all of the Science Fiction works by H. Beam Piper are favorites of mine.

Video Games

I am also a fan of video games. During my undergraduate, I was a team captain in the university’s Esports association, and eventually became the vice-president of the organization, taking the lead on all competitive matters. I actively played Starcraft II (although I wasn’t very good), and continue to enjoy real-time strategy games to this day. These days, my play is more casual and less competitive (indeed, those who play games with me will quickly find out I knit while playing).