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Publications:

• Modeling how windfarm geometry affects bird mortality. 2014. [with E. Bolker and J. Hatch] [arXiv]
• The Prouhet-Tarry-Escott Problem and Generalized Thue-Morse Sequences. 2013. [with E. Bolker, C. Offner, and R. Richman] [axXiv]
• Cardinality of $\ell_1$-Segments and Genocchi Numbers. 2013 [arXiv]
• Cardinality of Balls in Permutation Spaces. 2013. [with L. P. Dinu] [arXiv]
• [18] Polynomial Assignments. Indag. Math. DOI: 10.1016/j.indag.2014.07.008 (2014). [with V. Guillemin and S. Sabatini] [arXiv] [Journal]
• [17] Balanced Fiber Bundles and GKM Theory. Int. Math. Res. Not. IMRN 2013, no. 17, 3886-3910 [with V. Guillemin and S. Sabatini] [arXiv] [Journal]
• [16] Equivariant K-theory of GKM bundles. Ann. Global Anal. Geom. 43 (2013), no. 1, 31–45. [with V. Guillemin and S. Sabatini] [arXiv] [Journal]
• [15] Cohomology of GKM fiber bundles. J. Algebraic Combin. 35 (2012), no. 1, 19–59. [with V. Guillemin and S. Sabatini] [arXiv] [Journal]
• [14] The Impact of Triangular Inequality Violations on Medoid-Based Clustering. Lecture Notes in Computer Science, Volume 6804, 2011, pp 280-289. [with S. Baraty and D. Simovici] [Journal]
• [13] Positivity of equivariant Schubert classes through moment map degeneration. J. Symplectic Geom. 8 (2010), no. 4, 381–401.
• [12] Complete Padovan sequences in finite fields. Fibonacci Quart. 45 (2007), no. 1, 64–75. [with J. B. Gil and M. D. Weiner]
• [11] Morse interpolation for Hamiltonian GKM spaces. J. Differential Geom. 75 (2007), no. 3, 503–523.
• [10] A GKM description of the equivariant cohomology ring of a homogeneous space. J. Algebraic Combin. 23 (2006), no. 1, 21–41. [with V. Guillemin and T. Holm ]
• [09] Chains, subwords, and fillings: strong equivalence of three definitions of the Bruhat order. Electron. J. Combin. 13 (2006), no. 1, Note 5, 13 pp. (electronic).
• [08] The existence of generating families for the cohomology ring of a graph. Adv. Math. 174 (2003), no. 1, 115–153. [with V. Guillemin]
• [07] Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph. Permutation patterns (Otago, 2003). Electron. J. Combin. 9 (2002/03), no. 2, Research paper 11, 11 pp. (electronic).
• [06] Combinatorial formulas for products of Thom classes. Geometry, mechanics, and dynamics, 363–405, Springer, New York, 2002. [with V. Guillemin]
• [05] G-actions on graphs. Internat. Math. Res. Notices 2001, no. 10, 519–542. [with V. Guillemin]
• [04] 1-skeleta, Betti numbers, and equivariant cohomology. Duke Math. J. 107 (2001), no. 2, 283–349. [with V. Guillemin]
• [03] Equivariant de Rham theory and graphs. Asian J. Math. 3 (1999), no. 1, 49–76. Reprinted in Surv. Differ. Geom. 7 (2000), 221–257. [with V. Guillemin]
• [02] A characterization of bi-invariant Riemannian metrics on Lie groups. Stud. Cerc. Mat. 50 (1998), no. 1-2, 111–115.
• [01] On a theorem of D. Müller. (Romanian) Stud. Cerc. Mat. 47 (1995), no. 3-4, 359–363.