Ryan Martin's Students

Current students

Tony Vuolo

Former PhD students

Matthew "Nick" Veldt

Ph.D. in Applied Mathematics, 24 April 2025

Dissertation: Induced saturation for various posets
ISU Awards: ISU Graduate College Teaching Excellence Award (2025), Mathematics Research Excellence Award (2025), RTG Advanced Traineeship (2023-2024)

D. Baker, E. Gomez-Leos, A. Halfpap, E. Heath, R.R. Martin, J. Miller, A. Parker, H. Pungello, C. Schwieder, and N. Veldt, On the proper rainbow saturation numbers of cliques, paths, and odd cycles, submitted.
R.R. Martin and N. Veldt, Induced saturation of the poset 2C₂, Ann. Comb., to appear.
R.R. Martin and N. Veldt, Saturation of k-chains in the Boolean lattice, Electron. J. Combin., 32 (2025), no. 1, Paper No. 1.55, 13 pp.
Other publications at [MathSciNet page]

Currently: Postdoc at Vanadro, Des Moines, Iowa

Enrique Gomez-Leos

Ph.D. in Mathematics, 10 April 2025

Dissertation: Randomly perturbed multipartite graphs
ISU Awards: Miller Family Research Excellence Award (2025), RTG Advanced Traineeship (2023-2024), ISU Graduate College Teaching Excellence Award (2023), AFSOR Summer Research Fellowship (2022), RTG Early Traineeship (2021-2022)

E. Gomez-Leos and R.R. Martin, Tiling randomly perturbed multipartite graphs, submitted.
E. Gomez-Leos and R.R. Martin, Tiling randomly perturbed bipartite graphs, submitted.
D. Baker, E. Gomez-Leos, A. Halfpap, E. Heath, R.R. Martin, J. Miller, A. Parker, H. Pungello, C. Schwieder, and N. Veldt, On the proper rainbow saturation numbers of cliques, paths, and odd cycles, submitted.
M. Fickus, E. Gomez-Leos, J. Iverson, Radon-Hurwitz Grassmannian codes, IEEE Trans. Inform. Theory 71 (2025), no. 4, 3203--3213.
E. Gomez-Leos, E. Heath, A. Parker, C. Schwieder, and S. Zerbib New bounds on f(n,5,8), Discrete Math. 347 (2024), no. 7, Paper No. 114012, 12pp.
Other publications at [MathSciNet page]

Currently: Lecturer at Western Colorado University, Gunnison, Colorado

Alex W. N. Riasanovsky

Ph.D. in Mathematics, 13 April 2021

Dissertation: Two problems in extremal combinatorics
ISU Awards: Lambert Graduate Assistantship (2019), Graduate College Teaching Award (2018)

J. Breen, A.W.N. Riasanovsky, M. Tait, and J. Urschel, Maximum spread of graphs and bipartite graphs , Commun. Am. Math. Soc. 2 (2022) 417--480.
J. Breen, S. Butler, M. Fuentes, B. Lidický, M. Phillips, A.W.N. Riasanovsky, S.-Y. Song, R.R. Villagrán, C. Wiseman, and X. Zhang, Hadamard diagonalizable graphs of order at most 36, Electron. J. Combin. 29 (2022), no. 2, Paper No. 2.16, 22pp.
R.R. Martin and A.W.N. Riasanovsky, On the edit distance function of the random graph, Combin. Probab. Comput. 31 (2022), no. 2, 345--367.
A. Gyárfás, A.W.N. Riasanovsky, and M.U. Sherman-Bennet, Chromatic Ramsey numbers of acyclic hypergraphs, Discrete Math., 340 (2017), no. 3, 373--378.
A. Collins, A.W.N. Riasanovsky, J.C. Wallace, and S. Radziszowski, Zarankiewicz numbers and bipartite Ramsey numbers, Journal of Algorithms and Computation, 47 (2016), no. 1, 63--78.
Other publications at [MathSciNet page]

Currently: Operations Research Data Scientist at Chubb, Philadelphia, Pennsylvania

First Position: Postdoctoral scholar at Karlsruhe Institute of Technology, Karlsruhe, Germany

Shanise Walker

Ph.D. in Mathematics, 27 March 2018

Dissertation: Problems in extremal graphs and poset theory
ISU Awards: Robert J. Lambert Teaching Excellence Award (2018), J.J.L. Hinrichsen Teaching Award (2016), Graduate College Teaching Award (2016)

Zh. Berikkyzy, A. Schulte, E. Sprangel, S. Walker, N. Warnberg, and M. Young, Anti–van der Waerden numbers on graphs, Graphs Combin. 38 (2022), no. 4, Paper No. 124, 16 pp.
R.R. Martin, H.C. Smith, and S. Walker, Improved bounds for induced poset saturation, Electron. J. Combin. 27 (2020), no. 2, Paper No. 2.31, 9pp.
R.R. Martin, A. Methuku, A. Uzzell, and S. Walker, A simple proof for a forbidden subposet problem, Electron. J. Combin. 27 (2020), no. 1, Paper No. 1.31, 9pp.
R.R. Martin and S. Walker, A note on the size of N-free families, Eur. J. Math. 3 (2017), no. 2, 429--432.
L. Hogben, M. Huynh, N. Kingsley, S. Meyer, S. Walker, M. Young, Propagation time for zero forcing on a graph, Discrete Appl. Math. 160 (2012), no. 13-14, 1994-2005.
All publications at [MathSciNet page]

Currently: Assistant Professor at Clark Atlanta University, Atlanta, Georgia

First Position: Assistant Professor at University of Wisconsin-Eau Claire, Eau Claire, Wisconsin

2025 recipient of the Henry L. Alder award from the Mathematical Association of America

Zhanar Berikkyzy

Ph.D. in Mathematics, 02 May 2016

Dissertation: The edit distance function: Forbidding induced powers of cycles and other questions
Awards: Mathematics Department Research Award (2016), Alberta Wolfe Research Fellowship (2015), Graduate College Teaching Award (2014)

Zh. Berikkyzy, A. Schulte, E. Sprangel, S. Walker, N. Warnberg, and M. Young, Anti–van der Waerden numbers on graphs, Graphs Combin. 38 (2022), no. 4, Paper No. 124, 16 pp.
Zh. Berikkyzy, R.R. Martin, and C. Peck, On the edit distance of powers of cycles, Discrete Math. 342 (2019), no. 10, 2804--2817.
G. Aalipour, A. Abiad, Zh. Berikkyzy, L. Hogben, F.H.J. Kenter, J.C.-H. Lin, and M. Tait, Proof of a conjecture of Graham and Lovász concerning the unimodality of coefficients of the distance characteristic polynomial of a tree, Electron. J. Linear Algebra 34 (2018), 373--380.
Zh. Berikkyzy, C. Cox, M. Dairyko, K. Hogenson, M. Kumbhat, B. Lidický, K. Messerschmidt, K. Moss, K. Nowak, K.F. Palmowski, and D. Stolee, (4,2)-choosability of planar graphs with forbidden structures, Graphs Combin. 33 (2017), no. 4, 751--787.
Zh. Berikkyzy, A. Schulte, and M. Young, Anti-van der Waerden numbers of 3-term arithmetic progressions, Electron. J. Combin. 24 (2017), no. 2, Paper No. 2.39, 9pp.
All publications at [MathSciNet page]

Currently: Associate Professor at Fairfield University [Berikkyzy Homepage]

First Position: Visiting Assistant Professor at University of California, Riverside

Kirsten Hogenson

Ph.D. in Mathematics, 12 April 2016

Dissertation: Random and deterministic versions of extremal poset problems
Awards: Aggie Ho Teaching Award (2016), Graduate College Teaching Award (2013)

K. Hogenson, D. Johnston, and S. O'Hara, Equitable choosability of prism graphs, Discuss. Math. Graph Theory 45 (2025), no. 1, 311--330.
K. Hogenson, R.R. Martin, and Y. Zhao, Tiling tripartite graphs with 3-colorable graphs: the extreme case, Graphs Combin. 34 (2018), no. 5, 1049--1075.
Zh. Berikkyzy, C. Cox, M. Dairyko, K. Hogenson, M. Kumbhat, B. Lidický, K. Messerschmidt, K. Moss, K. Nowak, K.F. Palmowski, and D. Stolee, (4,2)-choosability of planar graphs with forbidden structures, Graphs Combin. 33 (2017), no. 4, 751--787.
S. Butler, C. Erickson, L. Hogben, K. Hogenson, L. Kramer, R.L. Kramer, J.C.-H. Lin, R.R. Martin, D. Stolee, N. Warnberg and M. Young, Rainbow arithmetic progressions, J. Comb. 7 (2016), no. 4, 595–626.
K. Hogenson, S. Negaard and R.J. Zerr, Matrix sequences associated with the Ducci map and the mediant construction of the rationals, Linear Algebra Appl. 437(1) (2012), 285--293.
All publications at [MathSciNet page]

Currently: Associate Professor at Skidmore College [Hogenson Homepage]

First Position: Visiting Assistant Professor at Colorado College, Colorado Springs, Colorado

Lucas Kramer

Ph.D. in Mathematics, 09 April 2014

Dissertation: On diamond-free subposets of the Boolean lattice: An application of flag algebras

M. Ferrara, B. Kay, L. Kramer, R.R. Martin, B. Reiniger, H.C. Smith, and E. Sullivan, The saturation number of induced subposets of the Boolean lattice, Discrete Math., 340 (2017), no. 10, 2479--2487.
J. Diemunsch, N. Graber, L. Kramer, V. Larsen, L.M. Nelsen, L.L. Nelsen, D. Sigler, D. Stolee, and C. Suer, Color-blind index in graphs of very low degree, Discrete Appl. Math. 225 (2017), 122--129.
S. Butler, C. Erickson, L. Hogben, K. Hogenson, L. Kramer, R.L. Kramer, J.C.-H. Lin, R.R. Martin, D. Stolee, N. Warnberg, and M. Young, Rainbow arithmetic progressions, J. Comb. 7 (2016), no. 4, 595–626.
L. Kramer, R.R. Martin, and M. Young, On diamond-free subposets of the Boolean lattice, Journal of Combinatorial Theory, Series A 120 (2012), no. 3, 545--560.
All publications at [MathSciNet page]