Bart SnappAuxiliary Assistant Professor
Department of Mathematics
The Ohio State University
100 Math Tower
231 West 18th Avenue
Columbus, OH 43210-1174
Office: Math Building, MA 220
Research InterestsI have many interests. I am most interested in commutative algebra, but I am also interested in number theory and algebraic geometry. I finished my PhD in 2007 at the University of Illinois under the supervision of Sankar Dutta. Here is some professional information about me:
Links and Downloads Relating to Mathematics
- Commutative Algebra Notes A set of course notes that Jason McCullough and I have compiled and typeset from Prof. Dutta's commutative algebra course. It is our hope that they will help students. We ask that you please reserve them for personal use. Also, there are likely to be typos that we have made, so if you do read through them and find issues, let us know! We're both happy to discuss the notes (or commutative algebra in general) and any comments you have about them.
- A biography of Alexander Grothendieck as published in the Notices of the AMS: Part 1 and Part 2
- Unofficial Math 501 Problems (PDF)
- A bunch of Texy examples in LaTeX, including several commutative diagrams
- The Ximera Project an NSF sponsered project for converting LaTeX notes to an interactive experience.
- Previous courses taught
- IMMERSE 2008
- Ideas in Geometry -- a class that I helped develop at the University of Illinois
- LaTeX template for a course-information handout
- LaTeX template for quizzes
- LaTeX template for exams
Math Parody SongsI sing and record noise which sometimes I call music. Here are some math parody songs. I did not write the lyrics for either of these. If you have a song that you want recorded, tell me and I might do it!
- Nonabelian (MP3) The lyrics of this song were written by Mary Pat Campbell and Christopher Tuffley.
- Punk Rock Noetherian Girl (MP3) The lyrics of this song were written by Richard Green.
Mathematics and ArtI am also interested in the synthesis of mathematics and art. If you are as well, check out these links:
- The graph named "Fred"
- Vi Hart's Blog Be sure to check out her Math Doodling!
- Mathematical images by John M. Sullivan
- Scott Kim's inversions
- Commutative Diagrams as Art (PDF)
- Art by Harry Calkins
- Tessellations by Makoto Nakamura are amazing.
- Ideals with larger projective dimension and regularity (with J. Beder, J. McCullough, L. Nunez-Betancourt, A. Seceleanu,
and B. Stone). J. Symbolic Comput. 46 (2011), no. 10, 1105-1113. doi:10.1016/j.jsc.2011.05.011
M2 code mentioned in the above paper.
- A note on the variety of pairs of matrices whose product is symmetric (with M. Majidi-Zolbanin ). In Commutative Algebra and its Connections to Geometry (PASI 2009), A. Corso, C. Polini (eds.), Contemporary Mathematics, volume 555, American Mathematical Society.
- Free summands of syzygies of modules over local rings. J. Pure Appl. Algebra 214 (2010), no. 10, 1808--1811. doi:10.1016/j.jpaa.2009.12.023
- Generalized local cohomology and the canonical element conjecture. J. Pure Appl. Algebra 212 (2008), no. 4, 941--954. doi:10.1016/j.jpaa.2007.07.017
Research with Undergraduates
- The no-three-in-line problem on a torus (with J. Fowler, A. Groot, and D. Pandya). Preprint.
- The Collatz problem and analogues (with M. Tracy). J.
Integer Seq. 11 (2008), no. 4, Article 08.4.7, 10 pp. 11T55 (11B25).
Pari/GP code mentioned in the above paper.
- Gaming the Law of Large Numbers (with T. Hoffman). The Mathematics Teacher. To Appear.
- Automotive Number Theory (with C. Snapp). Math Horizons. September (2009), 26--27.