Jonathan Hodge

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Jonathan Hodge
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School
School of Natural Sciences
Department
Mathematics
Office
South - John Brooks Williams 168-D, 25
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Jonathan Hodge joined St. Edward's University in 2021 after 19 years as a faculty member and administrator at Grand Valley State University in West Michigan. At GVSU, Dr. Hodge served as chair of the Department of Mathematics, director of the School of Communications, and chair of the Department of Allied Health Sciences. He also co-directed GVSU’s Summer Mathematics Research Experience for Undergraduates (REU) program for ten years, funded by nearly $900,000 in federal grants. Dr. Hodge has mentored 35 students in undergraduate research projects, leading to award-winning papers and presentations.

Throughout his career, Dr. Hodge has been active in faculty governance, serving on GVSU’s Executive Committee of the Senate and many other committees. He was instrumental in establishing student and employee ombuds offices at GVSU, and he chaired a task force that led to new university-wide leadership development programs.

In addition to a Ph.D. in mathematics from Western Michigan University, Dr. Hodge also holds a Master's degree in negotiation, conflict resolution, and peacebuilding from California State University-Dominguez Hills. His thesis focused on religious conflict, and he is a trained mediator who has facilitated a number of workshops on conflict resolution and dialogue. Dr. Hodge's mathematical research is interdisciplinary, using tools from mathematics to model and analyze problems from the social sciences, with a focus on voting and social choice theory. Dr. Hodge is a practitioner and proponent of inquiry-based learning, and he has co-authored two textbooks that actively engage students in the learning process.

As a leader, Dr. Hodge strives to work collaboratively with his colleagues to support their success and promote excellence. He has been an active participant in the Council of Colleges of Arts & Sciences, serving as a facilitator for several national seminars for department chairs.

Ph.D., Mathematics, Western Michigan University (2002)

M.A., Negotiation, Conflict Resolution, & Peacebuilding, California State University-–Dominguez Hills (2012)

M.A., Mathematics, Western Michigan University (2002)

B.S., Mathematics, Calvin College (1998)

Honors and Awards

  • Distinguished Undergraduate Mentoring Award, Grand Valley State University, 2020
  • Alumni Achievement Award, Western Michigan University, 2016
  • George Pólya Award, Mathematical Association of America, 2011

Organizations, Boards and Memberships

  • Council of Colleges of Arts & Sciences
  • Mathematical Association of America
  • Institute for Mathematics and Democracy
  • National Alliance for Doctoral Studies in Mathematics
  • Pi Mu Epsilon

Active Grants

Co-Principal Investigator (2023–2029). National Science Foundation S-STEM Grant DUE-2221150. Supporting Ecology
and Data Science Scholars, $1,499,627. PI: C. Gee.

Previously Awarded Grants

Principal Investigator (2019). National Security Agency Grant No. H98230-19-1-0015 to support a Research Experience for Undergraduates (REU) program at GVSU, $70,513. Co-PI: W. Dickinson.

Principal Investigator (2018). National Security Agency Grant No. H98230-18-1-0011 to support a Research Experience for Undergraduates (REU) program at GVSU, $50,198. Co-PI: W. Dickinson.

Co-Principal Investigator (2017–2019). National Science Foundation Grant No. DMS-1659113 to support a Research Experience for Undergraduates (REU) program at GVSU, $236,942. PI: W. Dickinson.

Principal Investigator (2016). National Security Agency Grant No. H98230-16-1-0030 to support a Research Experience for Undergraduates (REU) program at GVSU, $80,968. Co-PI: W. Dickinson.

Co-Principal Investigator (2013–2015). National Science Foundation Grant No. DMS-1262342 to support a Research Experience for Undergraduates (REU) program at GVSU, $230,169. PI: W. Dickinson.

Co-Principal Investigator (2010–2012). National Science Foundation Grant No. DMS-1003993 to support a Research Experience for Undergraduates (REU) program at GVSU, $228,314. PI: W. Dickinson.

Principal Investigator (2004). Educational Advancement Foundation grant to support the development of a discovery-based textbook on the mathematics of voting and elections, $7,500.

Publications

Books:

  • J.K. Hodge, S. Schlicker, and T. Sundstrom (2023). Abstract Algebra: An Inquiry-Based Approach. Second edition. CRC
    Press, Boca Raton. (In production)
  • J.K. Hodge and R.E. Klima (2018). The Mathematics of Voting and Elections: A Hands-On Approach. Second edition. American Mathematical Society, Providence.
  • J.K. Hodge, S. Schlicker, and T. Sundstrom (2013). Abstract Algebra: An Inquiry-Based Approach. CRC Press, Boca Raton.
  • J.K. Hodge and R.E. Klima (2005). The Mathematics of Voting and Elections: A Hands-On Approach. American Mathematical Society, Providence.
    • Russian edition (translated by N.A. Shikova) published in 2007 by the Moscow Center for Continuous Mathematical Education.

Articles

* indicates undergraduate student co-author

  • B. Bjorkman*, S. Gravelle*, and J.K. Hodge (2019). Cubic preferences and the character admissibility problem. Mathematical Social Sciences 99(1):5–17. doi:10.1016/j.mathsocsci.2019.02.002
  • J.K. Hodge, F. Sprague-Williams*, and J. Woelk* (2017). Rank disequilibrium in multiple-criteria evaluation schemes. Involve: A Journal of Mathematics 10(1):165–180. doi:10.2140/involve.2017.10.165
  • C. Bowman*, J.K. Hodge, and A. Yu* (2014). The potential of iterative voting to solve the separability problem in referendum elections. Theory and Decision 77(1):111–124. doi:10.1007/s11238-013-9383-2
  • L. Brown*, H. Ha*, and J.K. Hodge (2014). Single-peaked preferences over multidimensional binary alternatives. Discrete Applied Mathematics 166:14–25. doi:10.1016/j.dam.2013.11.006
  • K. Golenbiewski*, J.K. Hodge, and L. Moats* (2011). Cost-conscious voters in referendum elections. Involve: A Journal of Mathematics 4(2):139–105. doi:10.2140/involve.2011.4.139
  • J.K. Hodge (2011). The mathematics of referendum elections and separable preferences. Mathematics Magazine 84(4):268– 277. doi:10.4169/math.mag.84.4.268
  • J.K. Hodge, E. Marshall*, and G. Patterson* (2010). Gerrymandering and convexity. The College Mathematics Journal 41(4): 312–324. doi:10.4169/074683410x510317
  • J.K. Hodge, M. Krines*, and J. Lahr* (2009). Preseparable extensions of multidimensional preferences. Order 26(2):125–147. doi:10.1007/s11083-009-9112-1
  • J.K. Hodge and M. TerHaar* (2008). Classifying interdependence in multidimensional binary preferences. Mathematical Social Sciences 55(2):190–204. doi:10.1016/j.mathsocsci.2007.07.005
  • J.K. Hodge (2006). Permutations of separable preference orders. Discrete Applied Mathematics 154(10):1478–1499. doi: 10.1016/j.dam.2005.10.015
  • J.K. Hodge (2006). The top ten things I have learned about discovery-based teaching. PRIMUS 16(2):154–161. doi:10.1080/10511970608984143
  • J.K. Hodge and P. Schwallier* (2006). How does separability affect the desirability of referendum election outcomes? Theory and Decision 61(3):251–276. doi:10.1007/s11238-006-9001-7
  • W.J. Bradley, J.K. Hodge, and D. Marc Kilgour (2005). Separable discrete preferences. Mathematical Social Sciences 49(3): 335–353. doi:10.1016/j.mathsocsci.2004.08.006

Presentations

Selected invited presentations:

  • Democratizing Research by Researching Democracy. Math and Politics: Numeracy at the Ballot Box (virtual conference), Institute for Mathematics and Democracy, May 2021.
  • Before the Results are In: Using Math to Understand Voting. Invited panelist (virtual panel), Just Peace, Manhattan College, Bronx, NY, November 2020.
  • Dudum v. Arntz: A Case Study in the Intersection of Mathematics, Politics, and Law. Math and Democracy Seminar, New York University Center for Data Science, New York, NY, September 2019.
  • Graph Theoretic Models of Interdependence in Referendum Elections. American Mathematical Society Central Sectional Meeting, Ann Arbor, MI, October 2018.
  • The Mathematics of Redistricting: Thoughts Relevant to Michigan’s Proposal 2. Invited panelist for DEM 101 event, Grand Valley State University, Allendale, MI, October 2018.
  • The Separability Problem in Referendum Elections: Some Recent Developments. Alma College, Alma, MI, November 2017.
  • Making a Living and a Life: The Irrevocable Gift of Opportunity. Western Michigan University, Kalamazoo, MI, October 2016.
  • Rank Disequilibrium in Multiple-Criteria Evaluation Schemes. Calvin College, Grand Rapids, MI, September 2016.
  • Mid-Career Faculty: Charting the Next Half of Your Career. Invited panelist, Joint Mathematics Meetings, Seattle, WA, January 2016.
  • Teaching Mathematics in an American University. Polytechnic University, Arusha, Tanzania, May 2015. 
  • Inquiry, Authority, and Democracy. Invited keynote (banquet) talk at the 15th annual Legacy of R.L. Moore Conference, Austin, TX, June 2012.