Education
- Ph.D, University of Wisconsin at Madison; 2008
- Delta Certificate in Research, Teaching, and Learning, University of Wisconsin at Madison; 2008
- B.S, College of William and Mary; 2003
- Math In Moscow, Independent University of Moscow, Spring 2003
- Budapest Semesters in Mathematics, Fall 2002
- Mathematics Advanced Study Semesters, The Pennsylvania State University, Fall 2001
Employment
- Associate Professor, SUNY College at Geneseo: 2014-current
- Assistant Professor, SUNY College at Geneseo: 2008-2014
- Teaching Assistant, University of Wisconsin at Madison, 2003-2008
- VIGRE Fellow, University of Wisconsin at Madison, 2004-2005
Research Interests
Matrix Analysis (numerical ranges) and Number Theory (counting functions).
Publications and Professional Activities
- Taylor, Ron; Rault, Patrick X. A TeXas Style Introduction to Proof. Mathematical Association of America (MAA) Textbook Series (to appear).
- Rault, Patrick X. Teaching proofs via Inquiry-Based Learning. MAA Notes Volume on “Innovative Techniques for Teaching Proof-writing.” to appear. Mathematics Association of America (MAA) Notes volume (to appear).
- 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. 3-by-3 matrices with elliptical numerical range revisited. Electron. J. 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.
- Cheung, Wilson; Rault, Patrick X. On uniform bounds for rational points on quadratic rational curves and thin sets. Journal of Algebra and Number Theory Academia, August 2012, 37-62.
- Rault, Patrick X. On uniform bounds for rational points on rational curves and thin sets. JP Journal of Algebra, Number Theory and Applications, 23 (2), 2011, 171—185.
- Rault, Patrick X. On uniform bounds for lattice points in intersections of hyperbolic plane regions. Journal of Combinatorics and Number Theory. 2 (3), 2010, 209--215
- Rault, Patrick X. On uniform bounds for rational points on rational curves and thin sets. Ph.D. Thesis, 2008
- Johnson, Charles R.; Harel, Yonatan; Hillar, Christopher J.; Groves, Jonathan M.; Rault, Patrick X. Absolutely flat idempotents. Electron. J. Linear Algebra 10, 2003, 190—200
Affiliations
- Henry L. Alder Award, presented by the Mathematics Association of America (MAA), 2015
- Center for Undergraduate Research in Mathematics (CURM) $22,000 mini-grant for a 2014-15 student research group.
- Elected to the Council on Undergraduate Research (CUR) for 2014-17
- Educational Advancement Foundation (EAF) grant to support training initiatives in Inquiry-Based Learning (IBL). $60,000 for first year. 2014. Joint with St. John Fischer College, Nazareth College, SUNY Plattsburgh, and Buffalo State.
- Council on Undergraduate Research (CUR) Mathematics and Computer Sciences Division 2013 Faculty Mentoring (National) Award for Outstanding Mentoring of Undergraduate Students in Research.
- “Honoring Teachers” Award, by the Teaching and Learning Center and the SA Academic Affairs Committee, for “positively impacting students’ experience.” 2013-2014.
- Project NExT Fellow (New Experiences in Teaching), 2008-2009
- NSF VIGRE Fellow, 2004-2005
- Barry M. Goldwater Scholar, 2002-2004