Research

MASS and REU students are involved in research, and some of their projects become published papers. We list them below

  • R. Vaughan and K. Weis. On sigma-phi numbers. Mathematika 48 (2001), 16–189.

    Research project in MASS 1999 program under the supervision of R. Vaughan.

  • J. Voight. On the nonexistence of odd perfect numbers. MASS Selecta, 293–300, Amer. Math. Soc., 2003.

    Research project in MASS 1998 program under the supervision of K. Ono.

  • S. Chuba. Partitions of n and connected triangles. MASS Selecta, 267–275, Amer. Math. Soc., 2003.

    Research project in the REU and MASS 2001 programs under the supervision of G. Andrews.

  • J. Kantor and M. Maydanskiy. Triangles gone wild. MASS Selecta, 277–288, Amer. Math. Soc., 2003.

    Research project in REU 2002 program under the supervision of S. Tabachnikov and M. Guysinsky.

  • A. Medvedev. Determinacy of games. MASS Selecta, 289–292, Amer. Math. Soc., 2003.

    Research project in REU 2000 program under the supervision of T. Jech and A. Katok.

  • S. Tabachnikov. A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards, Geom. Dedicata 129 (2007), 83–87.

    Research project in REU 2004 program under the supervision of S. Tabachnikov and M. Guysinsky.

  • A. Bressan, M. Burago, A. Friend and J. Jou. Blocking strategies for a fire control problem. Anal. Appl. 6 (2008), 229–246.

    Research projects in MASS 2006 program under the supervision of A. Bressan.

  • G. Mullen, B. Vioreanu. Explicit formulas for permutation polynomials over finite fields. Bull. Inst. Combin. Appl. 57 (2009), 99–106.

    Research project in MASS 2006 program under the supervision of G. Mullen.

  • E. Larson. The DNA inequality in non-convex regions. Adv. Geom. 10 (2010), 221–248.

    Research project in REU 2007 program under the supervision of S. Tabachnikov and M. Guysinsky.

  • S. Howe, M. Pancia and V. Zakharevich. Isoperimetric inequalities for wave fronts and a generalization of Menzin’s conjecture for bicycle monodromy on surfaces of constant curvature. Adv. Geom. 11 (2011), 273–292.

    Research project in the REU and MASS 2008 programs under the supervision of S.Tabachnikov.

  • D. Rudenko. On equidissection of balanced polygons. J. Math. Sci. 190 (2013), 486–495.

    Research project in the MASS 2011 program under the supervision of S. Tabachnikov.

  • J. Zanazzi. A short proof of Klee’s theorem. Discrete Math. 314 (2014), 14–16.

    Research project in the MASS 2011 program under the supervision of A. Petrunin.

  • M. Chao, D. Levenstein, V. Nitica, R. Sharp. A coloring invariant for ribbon L-tetrominos. Discrete Math. 313 (2013), 611–621.

    Research project in the MASS 2012 program under the supervision of V. Nitica.

  • U. Carl, K. O’Neill, N. Ryder. Establishing a metric in max-plus geometry. Rose-Hulman Undergraduate Math. Journal. 13 (2012), 160–173.

    Research project in the MASS 2012 program under the supervision of V. Nitica.

  • V. Arul, G. Frost, D. Jung. Parity-check multiplicity in binary cyclic codes. Electronics Letters 49 (2013), 1456–1457.

    Research project in the REU 2013 program under the supervision of D. Newhart.

  • M. Miller, T. Silverman. Billiards on Graphs. arXiv:1310.8350.

    Research project in the MASS 2013 program under the supervision of M. Guysinsky and V. Nitica.

  • A. Hanlon, D. Dore. Area preserving maps on S2: a lower bound on the C0-norm using symplectic spectral invariants. Electronic Research Announcements 20 (2013), 97–102.

    Research project in the REU 2013 program under the supervision of D. Burago and M. Guysinsky.

  • K. Lui, V. Nitica, S. Venkatesh. The semigroup problem for central semidirect products of Rn with Rm. Topology Proc. 45 (2015), 9–29.

    Research project in the MASS 2013 program under the supervision of V. Nitica.

  • D. Ehrmann, Z. Higgins, V. Nitica The geometric structure of max-plus hemispaces. Linear Algebra Appl. 489 (2016), 144–166.

    Research project in the MASS 2013 program under the supervision of V. Nitica.