My GitHub page has several short unpublished topological data analysis reports.
Publications/Preprints
~. "A capacity for the sublime": Math and art as experience
with Elizabeth McTernan. a manifesto. 17 pgs. (PDF)
12. The phenomenology of mathematical understanding
with Alexandra Van-Quynh. 20 pages. (PDF) to appear in The Journal of Consciousness Studies.
11. Crossing the muddy field of witness, calling the lonely crowd: a walk to meet a sound
with Elizabeth McTernan. 15 pages. (PDF)
to appear in Leonardo.
10. When mathematicians speak, what do poets and musicians hear?
to appear in The Mathematical Intelligencer. 8 pgs. (PDF)
9. Book review: Mathematics in 20th-century literature and art, by Robert Tubbs
The Mathematical Intelligencer (2016) 38:94. (PDF)
8. The user's guide project: giving experiential context to research papers
with Cary Malkiewich, Mona Merling, David White, and Carolyn Yarnall
7. Variations of the telescope conjecture and Bousfield lattices for localized categories of spectra
6. Bousfield lattices of non-Noetherian rings: Some quotients and products
Homology, Homotopy and Applications, Vol. 16 (2), 2014, pp.205-229. (PDF) (journal link)
A User's Guide to this paper is also available.
5. The Bridges Enschede 2013 exhibition of mathematical art
4. Exquisite failure: The telescope as lived object
with Elizabeth McTernan. 4 pgs. (PDF)
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture. Tessellations Publishing, Phoenix, AZ, 2013.
3. On contemplation in mathematics
2. A tensor-triangulated approach to derived categories of non-Noetherian rings
Ph.D. dissertation, University of Washington, June 2012. 129 pgs. (PDF)
I interweave rigorous conventional mathematical work with humanistic metamathematical discourse.
Chapters 3, 5, and 7 are about metamathematics, and are accessible to a general audience. See pp. 3-5 for an overview.
1. Imagining negative-dimensional space
with Elizabeth McTernan. (PDF)
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pp. 637-642. Tessellations Publishing, Phoenix, AZ, 2012.
0. My name is not Susan: A love story between mathematics and non-mathematics
 A Love Story Between Mathematics and Non-Mathematics
by Luke Wolcott
Daikon Pickle Productions, 2009.
142 pages.
excerpt from the Preface:
"This book is a personal account of how mathematics
and non-mathematics interweave. It is a collection of essays
connecting my experiences as a mathematician to my other life
experiences. I describe ways that my diverse life experiences
have informed my approach to, understanding of, and process
of doing mathematics. At the same time, I try to show how
math and its various structures have helped me understand life.
My perspective is that of a 26 year-old, second-year graduate
student that has just passed qualifying exams.
For non-mathematicians, my goal is to tell stories of
what it’s like to do math – to learn, understand, create/discover,
communicate, and teach math. It turns out that higher math is
quite different than grade school math. The average person
probably doesn’t know much math past calculus, but calculus
is now 300 years old, and a lot of things have happened in that
time. At its higher levels, mathematics is more like an art.
For mathematicians, my goal is to make the case that
process matters in mathematics – that we should actively
investigate our creative processes, for the sake of becoming
better mathematicians. We should examine the culture of
mathematics, and the ways it has shaped and been shaped by
the content of mathematics..."
My Name is Not Susan has been published by Daikon Pickle Productions, through lulu.com. To purchase a paperback copy ($10),
or preview the Table of Contents and Preface, go here.
It's also now available on Amazon.com. Feel free to leave comments there.
praise for My Name is Not Susan:
"...I am indeed impressed. Your writing about drumming is fascinating. Your ability to analyze and report your own mental experiences is truly rare and precious...
The intention behind "The Mathematical Experience" was to pull aside the veil around the life and work of mathematicians, to show and tell the rest of the world about us. Much of what you write does that, better than we did."
- Reuben Hersh, author of several books on the nature and practice of mathematics, including "The Mathematical Experience" (with Philip J. Davis; winner of the National Book Award in 1983) and most recently "Loving and Hating Mathematics" (with Vera John-Steiner)
"...I really enjoyed reading your stuff. You write very well and the book has a very nice feeling to it. Obviously I agree with many of the points that you make and with the general orientation that you take...
I loved the connection between music and mathematics, in particular the connection between rhythm and number...
I think that what you are trying to express is also fundamentally spiritual. Of course I think that it is important, culturally and personally."
- William Byers, author of "How Mathematicians Think"
|
