
Expertise

Work
Work
Books
Barcelo, H., Karaali, G., Orellana, R., editors; Recent Trends in Algebraic Combinatorics, Association for Women in Mathematics Series Volume 16, Springer Nature, Cham, 2019.
Tunstall, L., Karaali, G., Piercey, V., editors; Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education, MAA Notes #88, MAA Press – an imprint of the American Mathematical Society, Washington DC, 2019.
Karaali, G., Khadjavi, L., editors; Mathematics for Social Justice: Resources for the Col lege Classroom, Classroom Resource Materials Volume 60, MAA Press – an imprint of the American Mathematical Society, Washington DC, 2019.
Featured Publications
With S. Aksoy, A. Azzam, C. Coppersmith, J. Glass, X. Zhao and X. Zhu, "Coalitions and Cliques in the School Choice Problem," in Involve, A Journal of Mathematics, Volume 8 Issue 5 (October 2015), pages 801–823.
With C.F. Fowler and S.R. Garcia, "Ramanujan sums as supercharacters," in Ramanujan Journal, Volume 35 Issue 2 (November 2014), pages 205–241.
With J.L. Brumbaugh, M. Bulkow, P.S. Fleming, L.A. Garcia, S.R. Garcia, M. Michal, and A.P. Turner, "Supercharacters, exponential sums, and the uncertainty principle," in Journal of Number Theory, Volume 44 (November 2014), pages 151175.
With M. Aguiar, C. Andre, C. Benedetti, N. Bergeron, Z. Chen, P. Diaconis, A. Hendrickson, S.K. Hsiao, I.M. Isaacs, A. Jedwab, K. Johnson, A. Lauve, T. Le, S. Lewis, H. Li, K. Magaard, E. Marberg, JC. Novelli, A. Pang, F. Saliola, L. Tevlin, JY. Thibon, N. Thiem, V. Venkateswaran, C.R. Vinroot, N. Yan, and M. Zabrocki, "Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras", in Advances in Mathematics, Volume 229 Issue 4 (1 March 2012), pages 23102337.
"On the quantization of zeroweight super dynamical rmatrices", Proceedings of the American Mathematical Society, Volume 140 Issue 1 (January 2012), pages 720.
With S.K. Hsiao, "Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras," in Journal of Algebraic Combinatorics, Volume 34 Number 3 (November 2011), pages 451506.
"On Hopf Algebras and Their Generalizations"; Communications in Algebra, 36 (2008), pp.43414367.
Other PeerReviewed Articles (selections)
With Edwin Villafane Hernandez and Jeremy A. Taylor, "What’s in a Name? A Critical Review of Quantitative Literacy, Numeracy, and Quantitative Reasoning," in Numeracy, Volume 9 Issue 1 (January 2016), Article 6.
"Metacognition in the Classroom: Motivation and SelfAwareness of Mathematics Learners," in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Volume 25 Issue 5 (May 2015), pages 439–452.
"Can Zombies Write Mathematical Poetry? Mathematical poetry as a model for humanistic mathematics," in Journal of Mathematics and the Arts, Volume 8, Issue 12, pages 3845.
"The Genius as a Characterization of the Creative Spirit in Mathematics and the Arts," in the Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, edited by Gary Greenfield, George Hart and Reza Sarhangi, Tessellations Publishing, Phoenix, 2014, pages 413416.
"The Brave New World of Open Access & Creative Commons: a Humanistic Experiment in Mathematical Publishing," in the Proceedings of the 2013 AMS Special Session on Topics and Issues in Electronic Publishing, pages 1131.
"An Evaluative Calculus Project: Applying Bloom’s Taxonomy to the Calculus Classroom," in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Volume 21 Issue 8 (November 2011), pages 719–731.
With P. Choi, S.O. Sood, and E. Grosfils, "Envisioning a Quantitative Studies Center: A Liberal Arts Perspective," Numeracy, Vol. 3, Iss. 1 (2010), Article 4.
Other Select Writing
“Math Education: A Messy Problem” in Inside Higher Education, Views, May 3, 2016.
“On Genius, Prizes, and the Mathematical Celebrity Culture” in The Mathematical Intelligencer, Volume 37 Issue 3 (2015), pages 61–65.
"Nesin Math Village: Mathematics as a Revolutionary Act," in The Mathematical Intelligencer, Volume 36 Issue 2 (2014), pages 4549.
With F. Alayont and L. Pehlivan, "What Does It Take to Teach Nonmajors Effectively?" in FOCUS (newsletter of the Mathematical Association of America) Volume 32 Number 6 (2012), pages 1112.
"Humanistic Mathematics: An Oxymoron?" Diversity & Democracy 15:2, p. 21, 2012
"In Defense of Frivolous Questions," in Inside Higher Education, Views, April 10, 2012. Available online at http://www.insidehighered.com/views/2012/04/ 10/essaydefensecoursesaskseeminglyfrivolousquestions.

Education

Awards & Honors
Awards & Honors
National Security Agency (NSA), Young Investigator Award for continuing research on YangBaxter equations, super quantum groups and Hopf algebras, 20112013.
National Endowment for the Humanities (NEH), Enduring Questions, NEH Enduring Questions Course on the Aims and Value of Education, 20142016.
American Mathematical Society (AMS) Project NExT fellow (sepia dot), 20062007.
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