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Opportunities for research in mathematics and democracy abound. Students and scholars who are affiliated with the Institute for Mathematics and Democracy are engaged in a number of projects ranging from applications of abstract mathematical methods in voting theory to the history of political quantitative literacy in education.

If you are a student or a researcher who wants to join our team or are looking for project ideas for yourself or your students, please contact us. We have ongoing or planned projects in

  • Advanced mathematical methods in voting theory
  • Apportionment and power structure analysis
  • Geometry of gerrymandering
  • New methods in social choice theory
  • Mathematics of social media and voter manipulation
  • Mathematics of social modeling algorithms
  • Analysis of election, census, and other data sets
  • Education and political quantitative literacy
Combinatorial topology and political structures

Combinatorial topology and political structures

A recent paper A qualitative theory of conflict resolution and political compromise by Abdou and…

Power assessment in Bosnia-Herzegovina

Power assessment in Bosnia-Herzegovina

Bosnia-Herzegovina has one of the most complicated political systems in the world, a result of…

Topological data analysis and UNICEF poverty surveys

Topological data analysis and UNICEF poverty surveys

Recent years have seen an emergence of new and innovative techniques designed to better handle…

Category-theoretic-approach-to-social-choice-theory

Category-theoretic approach to social choice theory

It is known (see, for example, this paper) that certain aspects of social choice theory…

Student research at IMD is supported by Wellesley College, including the Science Center Summer Research Program and the Sophomore Early Research Program. We would also like to thank the Howard Hughes Medical Institute Inclusive Excellence Program, the McNair Scholars Program, and the Brachman-Hoffman Fellowship Program for supporting research and inclusive excellence at Wellesley.

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