Jill Van Newenhizen

Associate Professor of Mathematics and Computer Science

Specialization

Social Choice Theory
Voting Methods
Paradoxes

Interests

The History of Mathematics (in particular, Classic Greek Mathematics; Euclid)
Preparing High School Mathematics Teachers
Mathematics for non-science majors
Art history before 1950
Opera
Classical Music

Education

PhD Northwestern University
MS Northwestern University
BA Lake Forest College

Classes Taught

First-Year Studies 109 Euclid’s Elements Book I
Math 103 The Nature of Mathematics
Math 110 Calculus I
Math 111 Calculus II
Math 230 Introduction to Abstract and Discrete Mathematics
Math 329 Number Theory
Math 499 Great Theorems in Mathematics

Publications

The Geometry of Chicago. Chicago History: The Magazine of the Chicago History Museum, Volume 37 (2010) 26-39.

Van Newenhizen, Jill. “Voting and Apportionment.” Chap. 15 in Mathematical Ideas. Boston: Addison Wesley, (2001) ISBN 0-321-07602-8.

The Borda Count is Most Likely to Respect the Condorcet Principle. Economic Theory, 2 (1992) 69-83.

Is Approval Voting an “unmitigated Evil?”, A response to Brams, Fishburn, and Merritt (with Don Saari). Public Choice, 59 (1988) 133-147.

The Problem of Indeterminacy in Approval, Multiple, and Truncated Voting Systems (with Don Saari). Public Choice, 59 (1988) 101-120.

The Geometric Investigation of Voting Techniques: A Comparison of Approval Voting, Positional Voting Techniques and the Borda Count. Doctoral Dissertation, Northwestern University,1988.

Talks Given

“Euclid’s Elements and Burnham’s Plan of Chicago,” Urban History Seminar at the Chicago History Museum, Chicago, 2009.

“Euclid’s Elements and Burnham’s Plan of Chicago,” Hyde Park Historical Society’s Burnham and the 1909 Plan of Chicago Study Group, American Institute of Architects Chicago, 2007.

“Euclid’s Elements and Burnham’s Plan of Chicago,” Lake Forest College Mathematical Awareness Month Colloquium, Lake Forest, 2007.

“Euclid’s Elements and Burnham’s Plan of Chicago,” Lake Forest College Faculty Discussion Group, Lake Forest, 2007.

“The Possibilities and Impossibilities of Apportionment,” Lake Forest College Faculty Discussion Group, Lake Forest, 2000.

“Making Learning Accessible: Taking It to the Dorms,” Associated Colleges of the Midwest Conference on Learning and Teaching, Coe College, Cedar Rapids, 1992.

“The Borda Count Minimizes the Probability that an Anti-Majority Candidate Outranks a Condorcet Candidate,” Public Choice Society Meeting, New Orleans 1992.

“The Borda Method is Most Likely to Respect the Condorcet Principle,” Public Choice Society Meeting, New Orleans, 1991.

“Some Probabilistic Results in Voting Theory,” Universita’ Degli Studi Di Roma “La Sapienza,” Dipartimento Di Statistics, Probabilita’ E Statistiche Applicate,  Rome, 1990.

Honors and Awards

The Richard W. Hantke Alumni Teacher Award, Lake Forest College, 2006.

The William Dunn Award for Outstanding Teaching and Scholarly Promise, Lake Forest College, 1992.

Faculty Alumni Appreciation Award, Lake Forest College, 1991.

Phi Beta Kappa, Lake Forest College, 1981.

The Curtis Prize in Mathematics, Lake Forest College, 1981.