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 IDEALS.
- 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.
- William Richard Harris, Real even symmetric forms, Thesis
(Ph.D.) University of Illinois at Urbana-Champaign. 1992. 104 pp.,
MR2688504.
- Han Duong, Minimal volume K-point lattice D-simplices,
Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2008. 47
pp., MR2712597
- Ricardo Rojas, Loops and finite affine planes, Thesis
(Ph.D.) University of Illinois at Urbana-Champaign. 2008. 44 pp.,
MR2717608.
- Supawadee Prugsapitak, The Tarry-Escott problem over quadratic
fields, Thesis (Ph.D.) University of Illinois at
Urbana-Champaign. 2009. 91 pp., MR2714167
- Melissa Ann Dennison, A sequence related to the Stern sequence,
Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2010. 90
pp., MR2941779.
- Milos Curcic, Lattice polytopes with distinct pair-sums.
Thesis (Ph.D.) University of Illinois at Urbana-Champaign. 2012. 80
pp., MR3260077.
- Jennifer Lansing, On the Stern sequence and a related
sequence. Thesis (Ph.D.) University of Illinois at
Urbana-Champaign. 2014. 98 pp., MR3301771.
- Katherine Anders, Properties of digital representations. Thesis
(Ph.D.) University of Illinois at Urbana-Champaign. 2014. 68 pp.,
MR3321973.
- 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.
- Neriman Tokcan, Relative Waring rank of binary forms. Thesis (Ph.D.) University
of Illinois at Urbana-Champaign. 2017. 63 pp.
- Sakulbuth Ekvittayaniphon, On sequences related to binary partition function
and the Thue-Morse sequence. Thesis (Ph.D.) University
of Illinois at Urbana-Champaign. 2018. 72 pp.
- Simone Claire Sisneros-Thiry, Combinatorial number theory through diagramming
and gesture, Thesis (Ph.D.) University
of Illinois at Urbana-Champaign. 2020. 203 pp.
Papers
- Julie D. Simon, Bounds on the cardinalities of families of nearly
neighborly quadrilaterals, Geom. Dedicata, 39 (1991), no. 2,
173-212, MR1119652 (92i:52002).
- William R. Harris, Real even symmetric ternary forms,
J. Algebra 222 (1999), no. 1, 204-245, MR1728161
(2001a:11070).
- S. Prugsapitak, The Tarry-Escott problem of degree two
over quadratic fields, East-West J. Math. 2010, Special Vol.,
306-316, MR2839634 (2012g:11063).
- S. Prugsapitak, V. Laohakasol, Some families of Diophantine quadruples,
ScienceAsia 37(2) (2011), 152-159.
- Supawadee Prugsapitak, The Tarry-Escott problem of degree two,
Period. Math. Hungar. 65 (2012), no. 1, 157-165,
MR2970073.
- Katherine Anders, Melissa Dennison, Jennifer Weber Lansing, Bruce
Reznick, Congruence properties of binary partition functions,
Ann. Comb. 17 (2013), no. 1, 15-26., MR3027571.
- 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.
- W. Intrapak, S. Prugsapitak, On some Diophantine problems in 2 x 2 integer Matrices,
ScienceAsia 39(6) (2013), 653-655.
- S. Damkaew, S. Prugsapitak, Complete residue systems in the ring of matrices over
euclidean domains and a greatest common divisor of matrices,
International J. Pure Appl. Math 87(3) (2013), 421-430.
- Jennifer Lansing, Largest values for the Stern sequence,
J. Integer Seq. 17 (2014), no. 7, Article 14.7.5, 18
pp., MR3238122.
- 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.
- Katie Anders, Odd behavior in the coefficients of reciprocals
of binary power series, Int. J. Number
Theory, 12 (2016), 635-648, MR3477411.
- Ricardo E. Rojas, Waiter! One classic calculus problem, hold the
calculus, The College Mathematics Journal 47 (2016),
59-60, MR3482371.
- Katie Anders, Counting non-standard binary representations,
J. Integer Seq., 19 (2016), no. 3, Article 16.3.3,
15pp., MR3486749.
- Neriman Tokcan, On the Waring rank of binary forms,
Linear Alg. Appl. 524 (2017), 250-262, MR 3630187.
- Bruce Reznick and Neriman Tokcan, Binary forms with three
different relative ranks, Proc. Amer. Math. Soc. 145 (2017),
5169-5177, MR 3717946.
- M. Chaiya, S. Chaiya, S. Prugsapitak, On some Diophantine problems over complex
quadratic number fields,
ScienceAsia 43(6) (2017), 383-386.
- Supawadee Prugsapitak and Somphong Jitman, Enumeration of self-dual cyclic
codes of some specific lengths over finite fields, Discrete Math. Algorithms Appl.,
10 (2018), 14pp, MR3809547.
- Melissa Dennison, On properties of the general bow sequence,
J. Integer Seq., 22 (2019), no 2, Art. 19.2.7, 22 pp.,
MR3956590.
- Katie Anders and Kassie Archer, Rooted forests that avoid sets of
permutations, European J. Combin. 77 (2019), 1-16,
MR3872611.
- V. Kim, V. Laohakosol, S. Prugsapitak, Sequences generated
by polynomials over integral domains, Walailak J. Sci. Tech.,
16(9) (2019), 625-633.
- Cara Monical, Neriman Tokcan and Alexander Yong, Newton polytopes in
algebraic combinatorics, Selecta Math. (N.S.), 25 (2019),
Paper No. 66, 37pp., MR4021852.
- Wipawee Tangjai, The minimum color degree and a large rainbow cycle in an
edge-colored graph, Ars Combin. 147 (2019), 43 -- 49, MR4221162.
- Somphong Jitman, Supawadee Prugsapitak and Madhu Raka,
Some generalizations of good integers and their applications in the study of self-dual
negacyclic codes, Discrete Math. Algorithms Appl., 14 (2020), MR MR4025869.
- Katie Anders, Alissa Crans, Briana Foster-Greenwood, Blake Mellor, Juliana Tymoczko,
Graphs admitting only constant splines, Pacific J. Math.
304 (2020), 385-400, MR4062773.
- Y. Alibaud, S Prugsapitak, W. Aukhosuwan, On the Diophantine equations
x^2 - xy + y^2 \pm l x = 0 and x^2 - 3 xy +y^2 \pm l x = 0,
ScienceAsia 46(4) (2020), 490-493.
- Wipawee Tangjai, A non-standard ternary representation of integers, Thai J. Math. 18 (2020),
269-283, MR4087967.
- Wipawee Tangjai, The minimum color degree and a large rainbow cycle in an
edge-colored graph, Ars Combin. 148 (2020), 279-287, MR4234027.
- Kanikar Muangchoo, Poom Kuman, Yeol Je Cho, Sakulbuth Ekvittayaniphon,
Wachirapong Jirakitpuwapat, A new hybrid iterative method for solving mixed
equilibrium and fixed point problems for Bregman relatively nonexpansive mappings,
Thai J. Math. 18 (2020), 913-935, MR4177738.
- Neriman Tokcan, Jonathan Gryak, Kayvan Najarian, Harm Derksen, Algebraic methods for
tensor data, SIAM J. Appl. Algebra Geom. 5 (2021), 1-27, MR4194310.
- D. Cullina, N. Tokcan and N. Kiyavash, The information theoretic
threshold for Erdos-Renyi graph matching, to appear
- Hannah Burson, Simone Sisneros-Thiry and Armin Straub, Refined counting of
core partitions into d-distinct parts, Electronic J. Combin., Paper 1.37, 21pp.
MR4245270
- Supawadee Prugsapitak and Nattaporn Thongngam, Representation of integers of
the form x^2 + my^2 - z^2, J. Integer Sequences 24, Article 24.7.7, MR4295406
- Supawadee Prugsapitak, On the set of solutions of x^2 - axy - y^2 = \pm 1 over some
finite fields, Int. J. Math. Comput. Sci. 16 (2021), 1435-1443, MR4294415
Updated March 30, 2022