Selected Publications (with student co-authors underlined)
Cushman, Jane R; Gantner, Ryan; George, C. Yousuf; Morrow, Margaret L; Rault, Patrick X. A Model for Expanding Active Learning Regionally: The Greater Upstate New York Inquiry-Based Learning Consortium, PRIMUS, July 2018. DOI: 10.1080/10511970.2018.1424743.
Taylor, Ron; Rault, Patrick X. A TeXas Style Introduction to Proof. Mathematical Association of America (MAA) Textbook Series. 2017. ISBN: 9781939512130.
Rault, Patrick X. Teaching proofs via Inquiry-Based Learning. Mathematical Association of America (MAA) Notes volume on “Beyond Lecture: Techniques to Improve Student Proof-Writing Across the Curriculum.” 2016, 177-184.
Coons, Jane I; Knowles, Doug; Jenkins, Jack; Luke, Rayanne; Rault, Patrick X. Numerical Ranges over Finite Fields. Linear Algebra and its Applications. 501, 2016, 37-47.
Camenga, Kristin; Rault, Patrick X; Sendova, Tsvetanka; Spitkovsky, Ilya. On the Gau–Wu number for some classes of matrices. Linear Algebra and its Applications. 444, 2014, 254-262.
Camenga, Kristin; Rault, Patrick X; Rossi, Dan; Sendova, Tsvetanka; Spitkovsky, Ilya. Numerical range of some doubly stochastic matrices. Applied Mathematics and Computation. 221, September 2013, 40-47.
Rault, Patrick X. On uniform bounds for rational points on rational curves and thin sets of arbitrary degree. Journal of Number Theory. 133 (9), 2013, 3112-3118.
Rault, Patrick X; Sendova, Tsvetanka; Spitkovsky, Ilya M. 3-by-3 matrices with elliptical numerical range revisited. Electronic Journal of Linear Algebra. 26, 2013, 158-167.
Bennett, Mike; Lazebnik, Kirill Y; Rault, Patrick X; Singer, Jeffrey A. On invariant area formulas and lattice point bounds for the intersection of hyperbolic and elliptic regions. Journal of Combinatorics and Number Theory. 4 (3), 2012, 161-175.
Cheung, Wilson; Rault, Patrick X. On uniform bounds for rational points on quadratic rational curves and thin sets. Journal for Algebra and Number Theory Academia. August 2012, 37-62.