Publications of the PhD students of Bruce Reznick

Professor, Department of Mathematics
University of Illinois at Urbana-Champaign

Ph.D. Theses

All UIUC Ph.D. theses can be downloaded from IDEAL.

  1. Julie Dennery Simon, Bounds on the cardinalities of nearly neighborly and neighborly families of polytopes, Thesis (Ph.D.) University of Illinois at Urbana-Champaign, 1989, 137 pp., MR2638032.
  2. William Richard Harris, Real even symmetric forms, Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 1992. 104 pp., MR2688504.
  3. Han Duong, Minimal volume K-point lattice D-simplices, Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2008. 47 pp., MR2712597
  4. Ricardo Rojas, Loops and finite affine planes, Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2008. 44 pp., MR2717608.
  5. Supawadee Prugsapitak, The Tarry-Escott problem over quadratic fields, Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2009. 91 pp., MR2714167
  6. Melissa Ann Dennison, A sequence related to the Stern sequence, Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2010. 90 pp., MR2941779.
  7. Milos Curcic, Lattice polytopes with distinct pair-sums. Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2012. 80 pp., MR3260077.
  8. Jennifer Lansing, On the Stern sequence and a related sequence. Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2014. 98 pp., MR3301771.
  9. Katherine Anders, Properties of digital representations. Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2014. 68 pp., MR3321973.
  10. Wipawee Tangjai, Density and spacing properties of some families of non-standard ternary representations. Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2014. 134 pp., MR3322046.
  11. Neriman Tokcan, Relative waring rank of binary forms. Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2017. 63 pp.

Papers

  1. Julie D. Simon, Bounds on the cardinalities of families of nearly neighborly quadrilaterals, Geom. Dedicata, 39 (1991), no. 2, 173-212, MR1119652 (92i:52002).
  2. William R. Harris, Real even symmetric ternary forms, J. Algebra 222 (1999), no. 1, 204-245, MR1728161 (2001a:11070).
  3. S. Prugsapitak, The Tarry-Escott problem of degree two over quadratic fields. East-West J. Math. 2010, Special Vol., 306-316, MR2839634 (2012g:11063)
  4. Supawadee Prugsapitak, The Tarry-Escott problem of degree two, Period. Math. Hungar. 65 (2012), no. 1, 157-165, MR2970073.
  5. Katherine Anders, Melissa Dennison, Jennifer Weber Lansing, Bruce Reznick, Congruence properties of binary partition functions, Ann. Comb. 17 (2013), no. 1, 15-26., MR3027571.
  6. Jennifer Lansing, Distribution of values of the binomial coefficients and the Stern sequence. J. Integer Seq. 16 (2013), no. 3, Article 13.3.7, 10 pp., MR3033740
  7. Jennifer Lansing, Largest values for the Stern sequence. J. Integer Seq. 17 (2014), no. 7, Article 14.7.5, 18 pp., MR3238122.
  8. Sarachai Kongsiriwong and Supawadee Prugsapitak, On the number of solutions of the Tarry-Escott problem of degree two and the related problem over some finite fields, Period. Math. Hungar. 69 (2014), no. 2, 190-198, MR3278956.
  9. Katie Anders, Odd behavior in the coefficients of reciprocals of binary power series, Int. J. Number Theory, 12 (2016), 635-648, MR3477411.
  10. Ricardo E. Rojas, Waiter! One classic calculus problem, hold the calculus, The College Mathematics Journal 47 (2016), 59-60, MR3482371
  11. Katie Anders, Counting non-standard binary representations, J. Integer Seq., 19 (2016), no. 3, Article 16.3.3, 15pp, MR3486749
  12. Katie Anders and Kassie Archer, Rooted forests that avoid sets of permutations, arXiv: 1607.03046
  13. Bruce Reznick and Neriman Tokcan, Binary forms with three different relative ranks, Proc. Amer. Math. Soc. 524 (2017), 5169-5177, MR3717946 http://front.math.ucdavis.edu/1608.08560, to appear in Proc. Amer. Math. Soc.
  14. Neriman Tokcan, On the Waring rank of binary forms, Linear Algebra Appl. 145 250-262, MR3630187 Linear Alg. Appl.
  15. Cara Monical, Neriman Tokcan and Alex Yong, Newton polytopes in algebraic combinatorics, http://front.math.ucdavis.edu/1703/02583
  16. D. Cullina, N. Tokcan and N. Kiyavash, The information theoretic threshold for Erdos-Renyi graph matching, to appear

Websites

Supawadee Prugsapitak

Milos Curcic

Updated March 27, 2018