Publications of Jeremy L. Martin

Please visit this page for a more detailed list of my publications, including text abstracts, downloads in other formats, and talk slides.

You can also look at descriptions of my papers in plain English.

Published articles in journals

  1. Updown numbers and the initial monomials of the slope variety (with Jennifer D. Wagner)
    Electronic J. Combin. 16, no. 1 (2009), Research Paper R82. [PDF | arXiv]

  2. Simplicial matrix-tree theorems (with Art M. Duval and Caroline J. Klivans)
    Trans. Amer. Math. Soc. 361 (2009), no. 11, 6073--6114. [Published version | PDF preprint | arXiv]

  3. On distinguishing trees by their chromatic symmetric functions (with Matthew Morin and Jennifer D. Wagner)
    J. Combin. Theory Ser. A 115 (2008), 237--253. [PDF | PS | arXiv]

  4. Random geometric graph diameter in the unit ball (with Robert B. Ellis and Catherine Yan)
    Algorithmica 47, no. 4 (2007), 421--438. [PDF | PS | arXiv]

  5. Harmonic algebraic curves and noncrossing partitions (with David Savitt and Ted Singer)
    Discrete Comput. Geom. 37, no. 2 (2007), 267--286. [PDF | PS | arXiv]

  6. Classification of Ding's Schubert varieties: finer rook equivalence (with Mike Develin and Victor Reiner)
    Canad. J. Math. 59, no. 1 (2007), 36--62. [PDF | PS | arXiv]

  7. Rigidity theory for matroids (with Mike Develin and Victor Reiner)
    Comment. Math. Helv. 82 (2007), 197--233. [PDF | PS | DVI | arXiv]

  8. The Mathieu group M12 and the M13 game (with Noam D. Elkies and John H. Conway)
    Experimental Math. 15, no. 2 (2006), 223--236. [PDF | PS | DVI | arXiv]

  9. The slopes determined by n points in the plane
    Duke Math. J. 131, no. 1 (2006), 119--165. [PDF | PS | DVI | arXiv]

  10. Cyclotomic and simplicial matroids (with Victor Reiner)
    Israel J. Math. 150 (2005), 229--240. [PDF | PS | DVI | arXiv]

  11. On the topology of graph picture spaces
    Adv. Math. 191, no. 2 (2005), 312--338. [PDF | PS | DVI | arXiv]

  12. Factorizations of some weighted spanning tree enumerators (with Victor Reiner)
    J. Combin. Theory Ser. A 104, no. 2 (2003), 287--300. [PDF | PS | DVI | arXiv]

  13. Geometry of graph varieties
    Trans. Amer. Math. Soc. 355 (2003), 4151--4169. [PDF | PS | DVI | arXiv]

  14. Ruling out (160,54,18) difference sets in some nonabelian groups (with Jason Alexander, Rajalakshmi Balasubramanian, Kimberly Monahan, Harriet Pollatsek, and Ashna Rubina Sen)
    J. Combin. Designs 8 (2000), no. 4, 221--231. [PDF]

Published articles in conference proceedings

  1. Random geometric graph diameter in the unit disk with lp metric (Extended Abstract) (with Robert B. Ellis and Catherine Yan)
    Proceedings of the 12th International Symposium on Graph Drawing (New York, October, 2004), Lecture Notes in Computer Science 3383 (2005), 167--172.

Preprints

  1. Cellular spanning trees and Laplacians of cubical complexes (with Art M. Duval and Caroline J. Klivans)
    [PDF preprint | arXiv:0908.1956]

  2. Mathematical models and biological meaning: taking trees seriously (with Edward O. Wiley)
    Preprint (PDF); version of 8/2/08.

Theses

  1. Graph Varieties, Ph.D. thesis, University of California, San Diego, 2002. Advisor: Mark Haiman. [PDF]
  2. The Mathieu Group M12 and Conway's M13-Game, A.B. thesis, Harvard University, 1996. Advisor: Noam D. Elkies. [PDF]