Faculty

Profile

As a practicing mathematician in a Liberal Arts College, I am interested in a broad range of mathematics. My research focuses on mathematics applied to the social sciences including: game theory: fair division and resource allocation; and social choice and voting theory. I am also interested in the relationship between mathematics and visual arts, as well as the visual tools and metaphors used to convey mathematical meaning. For many years, I was a member of the Parsons’ based Visualizing Finance Lab which looked at the intersection of narrative visualization, financial literacy and behavioral economics.

 

Degrees Held

PhD, Mathematics, Princeton University
MA, Mathematics, Princeton University
BSc, University of British Columbia

Professional Affiliation

American Mathematical Society
Mathematical Association of America
Association for Women in Mathematics

Recent Publications

Mathematical Analyses of Decisions, Voting and Games (ed. with M.A. Jones and D. McCune), American Mathematical Society,: Providence, 2024.

Delegate Apportionment in the US Presidential Primaries, (with M.A. Jones and D. McCune), Springer-Verlag: New York, 2023.

"Ranked Choice Voting and the Spoiler Effect" (with D. McCune), Public Choice, 196, 19-50, 2023.

"The Colley Method is an Extension of the Borda Count," (with M.A. Jones),  Mathematics Magazine, in press.

"New Quota-Based Apportionment Methods: The Allocation of Delegates in the Republican Presidential Primary," (with M.A. Jones and D. McCune), Mathematial Social Sciences, 108, 122-137, 2020.

"An axiomatic approach to cost sharing child support," (with M.A.Jones), Economic Letters, 195, 109452, 2020.

"The Elimination Paradox: Apportionment in the Democratic Primary," (with M.A. Jones and D. McCune), Public Choice, 178(1), 53-65, 2019.

"Rankings over Time," (with M.A. Jones and A. Webb), College Math Journal. 46(3), 242-248, 2016.

"The geometry of adding up votes," (with M.A.Jones), Mathematics Horizons, 24(1), 5-9, 2016.

"Adjusting Child Support Payments in Michigan," (with M.A.Jones), College Math Journal 46(1) 3-9, 2015.

"The dynamics of consistent bankrupcty rules,"  (with M.A.Jones), in Contemporary Mathematics Volume, AMS Sepcial Session on Decisions, Elections and Games, eds. K. Crisman, & M.A. Jones, American Mathmatial Society, Providence, 2014.

"Two-step coalition values for multichoice games," (with M.A.Jones),  Math Meth Oper Res 77(1), 65-99, 2013.

“Multilinear Extensions and Values for Multichoice Games,” (with M.A.Jones), Math Meth Oper Res, 72, p.145-169, 2010.

"Apportionment in the Democratic Primary Process,” (with M.A.Jones and K.A. Geist), Mathematics Teacher, 104 (3), p. 214-220, 2010.

"Evaluation of Thresholds for Power Mean-based and Other Divisor Methods of Apportionment,” (with M.A.Jones),  Math. Soc. Sci. 59, p. 323-348, 2010.

“Cutoffs and Thresholds in the Democratic Primaries,” (with M.A.Jones), UMAP Journal, 31(3), p. 197-214, 2010.

Mathematics and Art

`Schreibzeit' (marking time): an exploration of the permutational art and calendar calculations of Hanne Darboven," Journal of Mathematics and the Arts, 15:3:4, 261-274, 2022.

"Dynamic Symmetry: A History and Analysis," Journal of Mathematics and the Arts, 15:1, 19-32.  2021.

"LeWitt's Problem(s)," in I Stand in My Place With My Own Day Here: Site-Specic Art at The New School, ed. Frances Richard, The New School, New York, NY, 2019.

Visualizing Finance Lab

"Designing Materials towards Changing Financial Literacy," (with A. Fry, P. Williams Soberanos, C. Overby and F. Flores), The International Journal of Design in Society, 12(2), 23-29, 2018.

"Narrative visualization for co-design with a community partner,"  (with C. Overby and A. Fry), FormAkademisk,  Art 4, 1-18, 2017.

"Teaching the design of narrative visualization: behavioral economics and financial literacy," (with C. Overby and A. Fry), Studies in Material Thinking 11, 2014.

"Narrative Visualization to Describe and Assess Decision-Making." (with C. Overby and A. Fry), in Mobility and Design, Lebanese American University Press: Beirut, 2014.

"Teaching the design of narrative visualization for financial literacy," (with C. Overby and A. Fry), Art, Design and Communication in Higher Education, 12(2) 159-275, 2013.

Selected Talks

"Agnes Darboven’s Paradoxical Pyramids," AMS Special Session on Mathematics and the Arts, Joint Mathematics Meetings, Jan. 2023

"Ranked Choice Voting and the Spoiler Effect," AMS Notheastern Sectional Meeting Special Section on Mathematics and Democracy, Oct. 2022

"An Iterative Procedure for Apportionment and Its Use in the Georgia Republican Primary,"  AMS Special Session on The Mathematics of Games, Decisions and Elections, Joint Mathematics Meetings, Jan. 2022.

"Fairness, Proportionality and the US Presidential Primary Process,"  Mathematics and Computer Science Colloquium, Albion College, Mar. 2021.

"Dynamic Symmetry," MAA Contributed Session on Mathematics and the Arts,  Joint Mathematics Meetings, Jan. 2020.

"Hanne Darboven: Schreibzeit," MAA Contributed Session on Mathematics and the Arts,  Joint Mathematics Meetings, Jan. 2019.
Baltimore, MD.

"Writing on it all," MAA Contributed Session on Humanistic Math,  Joint Mathematics Meetings, Jan, 2018.

 "The Mathematics of Sol LeWitt, MAA Contributed Session on Mathematics and the Arts,"  Joint Mathematics Meetings, Jan. 2017

"Ethnomathematics and Fairness,"  MAA Contributed Session on Ethnomathematics,  Joint Mathematics Meetings,  Jan 2015.

 

Research Interests

Cooperative game theory, social choice theory, resource allocation, mathematics and art.

Awards And Honors

• 2005 Provost Professional Development Grant