{"id":165,"date":"2024-04-17T04:10:17","date_gmt":"2024-04-17T04:10:17","guid":{"rendered":"https:\/\/math.hmc.edu\/arvm\/?page_id=165"},"modified":"2026-03-03T22:00:41","modified_gmt":"2026-03-03T22:00:41","slug":"math-articles","status":"publish","type":"page","link":"https:\/\/math.hmc.edu\/arvm\/math-articles\/","title":{"rendered":"Mathematical Articles & Theses"},"content":{"rendered":"\n

<\/p>\n\n\n

    \n\n\n
  1. Building with blocks: enumerating polyforms on tilings<\/a><\/em> (with B. Dobbelaere and P. Kagey<\/a> and D. Thomas), submitted, arXiv:2602.23301<\/a>.<\/li>\n\n
  2. On the geometry of stack-sorting simplices<\/a><\/em> (with C. Ake, S.F. Lewis, and A. Louie), American Journal of Combinatorics, 4 (2025), arXiv:2508.00219<\/a>.<\/li>\n\n
  3. Unitary actions and equivariant volumes of symmetric edge polytopes\n<\/a><\/em> (with T.A. Cuchilla, J. Hound, C. Plepel, and L. Ye), submitted, arXiv:2507.18846<\/a>.<\/li>\n\n
  4. The Ehrhart polynomial of a matroid specializes to the beta invariant\n<\/a><\/em> (with A. Chavez<\/a>, G. Dorpalen-Barry<\/a>, L. Ferroni<\/a>, F. Liu<\/a>, and F. Rinc\u00f3n<\/a>), Advances in Geometry, 26 (2026), no. 1, 127-133, arXiv:2411.18695<\/a>.<\/li>\n\n
  5. Generalized snake posets, order polytopes, and lattice-point enumeration <\/a><\/em> (with E. Lee and Z. Wang), Discrete Mathematics (accepted<\/em>), arXiv:2411.18695<\/a>.<\/li>\n\n\n
  6. Generating trees and Fibonacci polyominoes <\/a><\/em> (with J.F. Pulido and J.L. Ram\u00edrez<\/a>), The Fibonacci Quarterly, 63, no. 4, 685\u2013698. arXiv:2411.17812<\/a>.<\/li>\n\n
  7. Polyhedral geometry of q,t-Catalan numbers<\/a><\/em> (with M. Beck<\/a>, M. Hanada<\/a>, M. Hlavacek<\/a>, J. Lentfer<\/a>, and K. Waddle<\/a>), Journal of Combinatorics, 17 (2026), no. 2, 179-221, arXiv:2407.21226<\/a>.<\/li>\n
    \n\n
  8. Matching polytopes, Gorensteinness, and the integer decomposition property\n<\/a><\/em> (with B. Eisley and K. Matsushita), Graphs and Combinatorics, 41 (2025), no. 58, arXiv:2407.08820<\/a>.<\/li>\n\n
  9. q-Chromatic polynomials<\/a><\/em> (with E. Bajo<\/a> and M. Beck<\/a>), submitted, arXiv:2403.19573<\/a>.<\/li>\n\n\n
  10. Combinatorics of generalized parking-function polytopes<\/a><\/em> (with M.M. Bayer<\/a>, S. Borgwardt<\/a>, T. Chambers<\/a>, S. Daugherty<\/a>, A. Dawkins<\/a>, D. Deligeorgaki<\/a>, H. Liao<\/a>, T. McAllister<\/a>, A. Morrison<\/a>, G. Nelson<\/a>), Discrete & Computational Geometry, published online<\/em>, arXiv:2403.07387<\/a>.<\/li>\n\n\n
  11. Combinatorial results on barcode lattices<\/a><\/em> (with A. Bouquet), Order, 42 (2025), 193-209, arXiv:2312.08705<\/a>.<\/li>\n\n\n
  12. Ehrhart bounds for panhandle and paving matroids through enumeration of chain forests<\/a><\/em> (with D. Deligeorgaki<\/a> and D. McGinnis<\/a>), SIAM Journal on Discrete Mathematics (accepted<\/em>), arXiv:2311.01640<\/a>.<\/li>\n\n\n
  13. Local h*-polynomials for one-row Hermite normal form simplices<\/a><\/em> (with E. Bajo<\/a>, B. Braun<\/a> and G. Codenotti<\/a> and J. Hofscheier<\/a>), Beitr\u00e4ge zur Algebra und Geometrie \/ Contributions to Algebra and Geometry, published online<\/em>, arXiv:2309.01186<\/a>.<\/li>\n\n\n
  14. Stack-sorting simplices: geometry and lattice-point enumeration<\/a><\/em> (with C. Mitchell and E. Lee), Combinatorics, graph theory and computing, Springer Proc. Math. Stat.,\nSpringer, Cham, 2025, (accepted<\/em>), arXiv:2308.16457<\/a>.<\/li>\n\n\n
  15. A combinatorial proof of a symmetry for a refinement of the Narayana numbers<\/a><\/em> (with M. B\u00f3na<\/a>, S. Dimitrov<\/a>, G. Labelle, Y. Li, J. Pappe<\/a>, and Y. Zhuang<\/a>), The Electronic Journal of Combinatorics, 32 (2025), no. 2, Paper No. 2.46, arXiv:2212.10586<\/a>.<\/li>\n\n\n
  16. Generalized parking function polytopes<\/a><\/em> (with M. Hanada<\/a> and J. Lentfer<\/a>), Annals of Combinatorics, 28 (2024), no. 2, 575\u2013613, arXiv:2212.06885<\/a>.<\/li>\n\n\n
  17. On the critical group of hinge graphs<\/a><\/em> (with A. Martinian), Rocky Mountain Journal of Mathematics, 56 (2026), no. 1, 195-219, arXiv:2210.01793<\/a>.<\/li>\n\n\n
  18. Ehrhart theory of paving and panhandle matroids<\/a><\/em> (with D. Hanely<\/a>, J.L. Martin<\/a>, D. McGinnis<\/a>, D. Miyata<\/a>, G. Nasr<\/a>, and M. Yin<\/a>), Advances in Geometry, 23 (2023), no. 4, 501\u2013526, arXiv:2201.12442<\/a>.<\/li>\n\n\n
  19. Maximal chains in bond lattices<\/a><\/em> (with S. Ahirwar, S. Fishel<\/a>, P. Gya, P.E. Harris<\/a>, N. Pham, and D.K. Vo), The Electronic Journal of Combinatorics, 29 (2022), no. 3, Paper No. 3.11.<\/li>\n\n\n
  20. Enumerating k<\/em>-Naples parking functions through Catalan objects<\/a><\/em> (with J. Carvalho<\/a>, P.E. Harris<\/a>, G. Rojas Kirby<\/a>, and N. Tripeny), Integers, 24 (2024), Paper No. A44, 18, arXiv:2109.01735<\/a>.<\/li>\n\n\n
  21. Triangulations, order polytopes, and generalized snake posets<\/a><\/em> (with M. Bell<\/a>, B. Braun<\/a>, D. Hanely<\/a>, K. Serhiyenko<\/a>, J. Vega<\/a>, and M. Yip<\/a>), Combinatorial Theory, 2 (2022), no. 3, Paper No. 10, 34, arXiv:2102.11306<\/a>.\n\n