University of Illinois at Urbana-Champaign

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.

- 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