Stephanie Treneer

Associate Professor

Department of Mathematics
Western Washington University
Bellingham, WA 98225

Office: 206 Bond Hall
Phone: (360) 650-3468
e-mail: stephanie[dot]treneer[at]wwu[dot]edu

Photo credit: Penelope Kipps, 2016.

 



Ph.D., University of Illinois at Urbana-Champaign, 2006                

Research Interests

Modular forms, number theory, theory of partitions.

Selected Publications

[1]     Congruences for the coefficients of weakly holomorphic modular forms, Proc. London Math. Soc., (3) 93 (2006), 304--324.

[2]     Quadratic twists and the coefficients of weakly holomorphic modular forms, J. Ramanujan Math. Soc. 23 (2008), no. 3, 283--309.

[3]     Rank generating functions as weakly holomorphic modular forms (with S. Ahlgren), Acta Arith. 133 (2008), no.3, 267--279.

[4]     Constructing simultaneous Hecke eigenforms (with T. Shemanske and L. Walling), Int. J. Number Theory 6 (2010), no. 5, 1117--1137.

[5]     Zeros of some level 2 Eisenstein series (with S. Garthwaite, L. Long and H. Swisher), Proc. Amer. Math. Soc. 138 (2010), no. 2, 467--480.

[6]     Zeros of classical Eisenstein series and recent developments (with S. Garthwaite, L. Long and H. Swisher), Fields Institute Communications Volume WIN --  Women in Numbers, Research Directions in Number Theory, American Mathematical Society, Providence, 2011.

[7]     Quantum mock modular forms arising from eta-theta functions (with A. Folsom, S. Garthwaite, S.-Y. Kang and H. Swisher), Res. Number Theory 2 (2016), 2: 14.

Teaching

Fall 2016:                 Math 302: Introduction to Proofs via Number Theory (course available through Canvas; previous version available here)

Math 451/551: Number Theory                                                           

Previous Courses:  Math 124: Calculus and Analytic Geometry I

Math 125: Calculus and Analytic Geometry II

Math 204: Elementary Linear Algebra

Math 224: Multivariable Calculus I

                                    Math 226: Limits and Infinite Series

                                    Math 309: Introduction to Proof in Discrete Mathematics

                                    Math 401: Introduction to Abstract Algebra (groups)

Math 402/502: Introduction to Abstract Algebra (rings and fields)       

                                    Math 503: Prime Number Theory

                                    Math 503: Galois Theory

                                    Math 566: Topics in Combinatorics