Preprints and Publications
Preprints and Publications
Below are preprints and publications relating to math research. For what I've done in the context of math education and teaching methods, please see the Teaching page.
Below are preprints and publications relating to math research. For what I've done in the context of math education and teaching methods, please see the Teaching page.
J. Machacek, G. D. Nasr, Transversal and Paving Matroids. arXiv:2401.02053.
S. Hong, G. D. Nasr, Combinatorics for Certain Skew Young Tableaux, Dyck Paths, Triangulations, and Dissections. Enumerative Combinatorics and Applications. 22 pages.
D. Hanely, J. L. Martin, D. McGinnis, D. Miyata, G. D. Nasr, A. R. Vindas-Mel\'endez, and M. Yin, Ehrhart Theory of Paving and Panhandle Matroids. Advances in Geometry, vol. 23, no. 4, 2023, pp. 501-526.
T. Karn, G. D. Nasr, N. Proudfoot, L. Vecchi, Equivariant Kazhdan–Lusztig theory of paving matroids. Algebraic Combinatorics, Volume 6 (2023) no. 3, pp. 677-688. doi : 10.5802/alco.281.
W. E. Hurst, K. Lee, L. Li, G. D. Nasr, On the Two-Dimensional Jacobian Conjecture: Magnus' Formula Revisted, I, Rocky Mountain Journal of Mathematics, Rocky Mountain J. Math. 53(3), 791-806, (June 2023)
L. Ferroni, G. D. Nasr, L. Vecchi, Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids. International Mathematics Research Notices (2022). 43 pages.
K. Lee, G. D. Nasr, J. Radcliffe, A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids. Electron. J. Combin. 28 (2021), no. 4, Paper 4.44, 29 pp.
G. Dorpalen-Barry, C. Hettle, D. C. Livingston, J. L. Martin, G. D. Nasr, J. Vega, H. Whitlatch, A positivity phenomenon in Elser's Gaussian-cluster percolation model. (English summary) J. Combin. Theory Ser. A 179 (2021), 105364, 27 pp.
K. Lee, G. D. Nasr, J. Radcliffe, A Combinatorial Formula for Kazhdan-Lusztig Polynomials of ρ-Removed Uniform Matroids. Electron. J. Combin. 27 (2020), no. 4, Paper 4.7, 23 pp.