Degrees
PhD, University of Illinois at Urbana-Champaign
MsC, University of Illinois at Urbana-Champaign
B.S. Rose-Hulman Institute of Technology
Scholarship and Publications
- MR3922423 Bennett, Michael A. ; Martin, Greg ; O'Bryant, Kevin ; Rechnitzer, Andrew . Explicit bounds for primes in arithmetic progressions. Illinois J. Math. 62 (2018), no. 1-4, 427--532.
- MR3395788 Nathanson, Melvyn B. ; O'Bryant, Kevin . A problem of Rankin on sets without geometric progressions. Acta Arith. 170 (2015), no. 4, 327--342.
- MR3371765 O'Bryant, Kevin . The sequence of fractional parts of roots. Acta Arith. 169 (2015), no. 4, 357--371.
- MR3370793 O'Bryant, Kevin . Sets of natural numbers with proscribed subsets. J. Integer Seq. 18 (2015), no. 7, Article 15.7.7, 12 pp.
- MR3247169 Nathanson, Melvyn B. ; O'Bryant, Kevin . Irrational numbers associated to sequences without geometric progressions. Integers 14 (2014), Paper No. A40, 11 pp.
- MR3141833 Nathanson, Melvyn B. ; O'Bryant, Kevin . On sequences without geometric progressions. Integers 13 (2013), Paper No. A73, 5 pp.
- MR3083480 O'Bryant, Kevin . Thick subsets that do not contain arithmetic progressions. Integers 13 (2013), Paper No. A18, 10 pp.
- MR3047909 Lazarev, Oleg ; Miller, Steven J. ; O'Bryant, Kevin . Distribution of missing sums in sumsets. Exp. Math. 22 (2013), no. 2, 132--156.
- MR2788676 O'Bryant, Kevin . Sets of integers that do not contain long arithmetic progressions. Electron. J. Combin. 18 (2011), no. 1, Paper 59, 15 pp.
- MR2744742 Graham, Ron ; O'Bryant, Kevin . Can you hear the shape of a Beatty sequence? Additive number theory, 39--52, Springer, New York, 2010.
- MR2584943 Martin, Greg ; O'Bryant, Kevin . The supremum of autoconvolutions, with applications to additive number theory. Illinois J. Math. 53 (2009), no. 1, 219--235.
- MR2359479 Martin, Greg ; O'Bryant, Kevin . Many sets have more sums than differences. Additive combinatorics, 287--305, CRM Proc. Lecture Notes, 43, Amer. Math. Soc., Providence, RI, 2007.
- MR2346109 Nathanson, Melvyn B. ; O'Bryant, Kevin ; Orosz, Brooke ; Ruzsa, Imre ; Silva, Manuel . Binary linear forms over finite sets of integers. Acta Arith. 129 (2007), no. 4, 341--361.
- MR2342196 O'Bryant, Kevin . Gaps in the spectrum of Nathanson heights of projective points. Integers 7 (2007), A38, 7 pp.
- MR2339272 Martin, Greg ; O'Bryant, Kevin . The symmetric subset problem in continuous Ramsey theory. Experiment. Math. 16 (2007), no. 2, 145--165.
- MR2337064 O'Bryant, Kevin . On Z.-W. Sun's disjoint congruence classes conjecture. Combinatorial number theory, 403--411, de Gruyter, Berlin, 2007.
- MR2281861 Cooper, Joshua N. ; Eichhorn, Dennis ; O'Bryant, Kevin . Reciprocals of binary series. Int. J. Number Theory 2 (2006), no. 4, 499--522.
- MR2256529 O'Bryant, Kevin ; Reznick, Bruce ; Serbinowska, Monika . Almost alternating sums. Amer. Math. Monthly 113 (2006), no. 8, 673--688.
- MR2216454 Martin, Greg ; O'Bryant, Kevin . Constructions of generalized Sidon sets. J. Combin. Theory Ser. A 113 (2006), no. 4, 591--607.
- MR2168767 Graham, Ron ; O'Bryant, Kevin . A discrete Fourier kernel and Fraenkel's tiling conjecture. Acta Arith. 118 (2005), no. 3, 283--304.
