I’ve worked on research projects with a number of students over the years. If you’re interested in doing the same, this page will give you an idea of the kind of work we do.
- In 2017, I worked with W&L students Prakriti Panthi (rising sophomore), Anukriti Shrestha (rising junior), and Eric Zhang (rising sophomore) on a number of different topics. We submitted this problem (on decimal roots) and this article (on Ramanujan cubics) to Mathematics Magazine, and we submitted this article (on finite subgroups of the modular group) to the Turkish Journal of Mathematics. I’m still working on our fourth article (hopefully to be submitted soon). UPDATE: the problem on decimal roots has now been accepted for publication, and has appeared in print!
- Oh, and Anukriti was featured in this article on the W&L home page!
- In 2016, I worked with W&L students Saimon Islam (rising sophomore), Aaron Schmitt (rising junior), and Pan Yue (rising sophomore) on a nice little problem concerning the sum of two squares. We collaborated with another professor/undergraduate team from Wake Forest and ended up with this 22-page article which has been conditionally accepted (fall of 2017) at Involve, subject to a few revisions.
- Back in 2015, exchange student Gabriella Iwasaki, rising senior Luke Quigley, and I worked on a lovely project involving graphs associated with rings modulo 16. This picture here shows one of the problems we worked on, demonstrating that the digraph associated with multiplication by 6 modulo 16 will be of genus 2.
- In the summer of 2013, I worked with W&L student Wenda Tu (rising senior) on a nifty problem involving digraphs. This work continued with Wenda’s honor thesis in the academic year 2013-14, and that led to a joint paper which, after a few revisions, has finally been accepted and will now appear in the undergraduate math journal Involve (2018, volume 2, pages 181-194) . I also worked with Ginger (Qiuchi) Sun that same summer on her interesting ideas involving the Goldbach Conjecture with polynomials.
- Back in 2012, students Ginny Huang (rising sophomore) and Cathy Wang (rising junior) worked with me on a very nice problem involving Fibonacci numbers.
- Kuan Si and I did a year-long independent study course on Fibonacci identities, during the academic year 2011-12.
- Elizabeth Twentyman wrote her honors thesis “Finding Factors of Factor Rings” with me over 2005-06; she graduated with honors in 2006.
- My colleague Wayne Dymacek and I worked with Elizabeth Townsend on her honors thesis on the inverse Galois problem; Liz graduated with honors in 2003.
- My first research student was Adam Henry; back in the summer of 1999, we did a nice project on Gaussian integers.
Where are they now? My research and honors students have done lots of different things after graduating W&L! But for those who went on a bit further in academia, here’s what they did.
- Gabriela Iwasaki (transfer student 2014-15) returned to Brazil and changed her major to mathematics!
- Wenda Tu (W&L ’14) is now in graduate school in statistics at the University of Iowa.
- I think that Qiuchi Sun (W&L ’13) went to grad school in economics.
- Kuan Si (W&L ’12) went to graduate school in math at Georgia Tech.
- Elizabeth Twentyman (W&L ’06) went on to math graduate school at the University of Michgan.
- Elizabeth Townsend (W&L ’03) went on to graduate school in math at the University of Chicago; after a post-doc at Michigan and some time at Williams, she is now a math professor at Haverford.
- Adam Henry (W&L ’00) got his PhD in Transportation Technology and Policy at UC Davis, and went on to posts at Harvard, Boston University, and the University of West Virginia. Adam is now a professor of government and public policy at Arizona State University.
Plenty of other W&L students have also gone on to graduate school and to careers as math professors. For example, Jonathan Graber (’08) is a math professor at Baylor University, and both Matt Morena (’05) and Neville Fogarty (’10) teach at Christopher Newport University.