Steven J. Miller

Steven Joel Miller is a mathematician who specializes in analytic number theory and has also worked in applied fields such as sabermetrics and linear programming.[1] He is a co-author, with Ramin Takloo-Bighash, of An Invitation to Modern Number Theory (Princeton University Press, 2006), and with Midge Cozzens of The Mathematics of Encryption: An Elementary Introduction (AMS Mathematical World series 29, Providence, RI, 2013). He also edited Theory and Applications of Benford's Law (Princeton University Press, 2015) and wrote The Mathematics of Optimization: How to do things faster (AMS Pure and Applied Undergraduate Texts Volume: 30; 2017).

Steven Joel Miller
Alma materYale University
Princeton University
Scientific career
InstitutionsWilliams College
Smith College
Mount Holyoke
Brown University
Boston University
Ohio State University
American Institute of Mathematics
Princeton University
Thesis1 and 2 Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries (2002)
Doctoral advisorsPeter Sarnak
Henryk Iwaniec

Miller earned his B.S. in mathematics and physics at Yale University and completed his graduate studies in mathematics at Princeton University in 2002. His Ph.D. thesis, titled "1 and 2 Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries," was written under the direction of Peter Sarnak and Henryk Iwaniec.[2] He is currently a professor of mathematics at Williams College, where he has served as the Director of the Williams SMALL REU Program and is currently the faculty president of the Williams Phi Beta Kappa chapter.[3] He's also a faculty fellow at the Erdos Institute.[4]

He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to number theory and service to the mathematical community, particularly in support of mentoring undergraduate research".[5]

In the aftermath of the 2020 United States presidential election Miller performed a statistical analysis of possible election fraud in Pennsylvania. The data underlying the analysis was collected by former Trump staffer Matt Braynard's Voter Integrity Fund. The data was collected by calling 20,000 Republican voters in Pennsylvania who, according to state records, had requested but not returned ballots. Of the 20,000 called 2,684 agreed to take the survey, which found that 463 reported that they actually had mailed in a ballot and 556 reported that they had not requested a ballot in the first place.[6] In Miller's statement to the court - Exhibit A of Donald J. Trump for President v. Boockvar - he stated: "I estimate that with a reasonable degree of mathematical certainty (based on the data I received being accurate and a representative sample of the population) the number of the 165,412 mail-in ballots requested by someone other than the registered Republican is at least 37,000, and the number of the 165,412 mail-in ballots requested by registered Republicans and returned but not counted is at least 38,910."[7]

Miller's statement drew sharp criticism from his peers, centered around the low response rate of phone surveys yielding unrepresentive data upon which Miller's estimates were based. Miller apologized for the "lack of clarity and due diligence" in a leaked early draft of his work.[6] Richard D. De Veaux, Vice President of the American Statistical Association and Professor of Statistics at Williams College, commented "any estimates based on unverifiable or biased data are inaccurate, wrong and unfounded. To apply naïve statistical formulas to biased data and publish this is both irresponsible and unethical".[8]

In interviews with The Williams Record and the public radio station WAMC, Miller has gone on the record about being a conservative libertarian.[9]


  1. ^ "Steven J. Miller". Retrieved 11 May 2020.
  2. ^ Steven J. Miller at the Mathematics Genealogy Project
  3. ^ "Steven J". Retrieved 2016-01-20.
  4. ^ "Steven J. Miller". Williams College. Retrieved 11 May 2020.
  5. ^ 2019 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2018-11-07
  6. ^ a b Paris, Francesca (24 November 2020). "Williams prof disavows own finding of mishandled GOP ballots". The Berkshire Eagle.
  7. ^
  8. ^ De Veaux, Richard D. (25 November 2020). "A rebuttal to Steven Miller's "REPORT ON PA GOP MAIL-IN BALLOT REQUESTS"". The Williams Record.
  9. ^ Eagle, Francesca Paris, The Berkshire (2020-11-24). "Williams prof disavows own finding of mishandled GOP ballots". The Berkshire Eagle.

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