Labs and Faculty Pages

Catherine Beneteau

I am an Associate Professor in the Mathematics and Statistics Department at the Â鶹ÊÓƵ.

Here is my Curriculum Vitae.

I was educated in Canada, at McGill University, where I got my bachelor's and master's degrees in mathematics. I obtained my Ph.D. in 1999 at the University at Albany, under the supervision of Boris Korenblum.

My main research interests are in complex function theory, in particular extremal problems and approximation in spaces of analytic functions, and in mathematics education, in particular guided inquiry, curriculum development, and collaborations between mathematicians and mathematics educators.

Teaching

This semester I am teaching Calculus 1 (MAC 23111) and Real Analysis II (MAA 5307). If you are a student in one of these sections, all course documents are on Canvas.

Personal Information

I am originally from Canada. My father was French Canadian and my mother is American, so I grew up speaking English and French.

If you are a graduate or undergraduate student and are interested in doing research, please contact me.

Contact Information

Mailing Address: 
Dr. Catherine Beneteau
Department of Mathematics
Â鶹ÊÓƵ
4202 E. Fowler Ave., CMC 342
Tampa, FL 33620

Email

Office: CMC 368

Office Phone Number: (813)-974-9717

Publications

Publications in Mathematics

1. A Natural Extension of a Nonsingular Endomorphism of a Measure Space, Rocky Mountain Journal of Mathematics, 26, (1996), 1261-1273.

2. Jensen Type Inequalities and Radial Null Sets (with B. Korenblum), Analysis, 21, (2001), 99-105. dvi pdf

3. Some Coefficient Estimates for HpFunctions (with B. Korenblum), Complex Analysis and Dynamical Systems, Contemporary Mathematics, 364, (2004), 5-14. dvi pdf

4. Remarks on the Bohr phenomenon, with A. Dahlner and D. Khavinson, Computational Methods and Function Theory 4 (2004), No. 1, 1-19. dvi pdf

5. Extremal problems for non-vanishing functions in Bergman spaces, with D. Aharonov, D. Khavinson, and H. S. Shapiro, Operator Theory: Advances and Applications, 158, (2005), 59-86. dvi pdf

6. The Isoperimetric Inequality via Approximation Theory and Free Boundary Problems, with D. Khavinson, Computational Methods and Function Theory 6 (2006), No. 2, 253-274. dvi pdf

7. A survey of certain extremal problems for non-vanishing analytic functions, C. Bénéteau and D. Khavinson, Complex and Harmonic Analysis DES Tech Publications (2007), 45-61. pdf

8. Extremal Problems in the Fock Space, C. Bénéteau, B. Carswell, and S. Kouchekian, Comput. Methods Funct. Theory 10 (2010), no. 1, 189-206. dvi pdf

9. A survey of linear extremal problems in analytic function spaces, C. Bénéteau and D. Khavinson, Complex Analysis and Potential Theory, CRM Proc. Lecture Notes 55 (2012), 33-46. pdf

10. Selected Problems in Classical Function Theory,, C. Bénéteau and D. Khavinson, Centre de Recherches Mathematiques, CRM Proceedings and Lecture Notes, Contemp. Math. 638 (2015), 255-265. pdf

11. Cyclicity in Dirichlet-type Spaces and Extremal Polynomials,, C. Bénéteau, A. Condori, C. Liaw, D. Seco, and A. Sola, J. Anal. Math. 126 (2015), 259-286. 

12. Cyclicity in Dirichlet-type Spaces and Extremal Polynomials II: Functions on the Bidisk,, C. Bénéteau, A. Condori, C. Liaw, D. Seco, and A. Sola, Pacific J. Math. 276 (2015), no. 1, 35-58. 

13. Cyclic Polynomials in two variables, , C. Bénéteau, G. Knese, L. Kosinski, C. Liaw, D. Seco, and A. Sola, Trans. Amer. Math. Soc., to appear. 

14. Orthogonal Polynomials, Reproducing Kernels, and Zeros of Optimal Approximants,, C. Bénéteau, D. Khavinson, C. Liaw, D. Seco, A. Sola, J. London Math. Soc., to appear. 

15. A free boundary problem associated with the isoperimetric inequality,, A. Abanov, C. Bénéteau, D. Khavinson, R. Teodorescu, under review. 

16. Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems,, C. Bénéteau, D. Khavinson, C. Liaw, D. Seco, and B. Simanek, under review. 

Publications in Mathematics Education

1. Statistics, Technology, and the Social Sciences: a Successful Interdisciplinary Project, C. Bénéteau and June Rohrbach,Focus Magazine, 24, no.1, (2004), 9-10.

2. Discrete Wavelet Transformations and Undergraduate Education, C. Bénéteau and P. Van Fleet, Notices of the American Mathematical Society, 58, no.5, (2011), 656-666. pdf

3. Voices of Mathematicians and Mathematics Teacher Educators Collaborating on Courses for Prospective Secondary Teachers, D. Thompson, C. Bénéteau, G. Kersaint, and S. Bleiler, National Council of Teachers of Mathematics 2012 Yearbook, (2012), 229-241. pdf

4. Promoting Mathematical Reasoning through Critiquing Student Work, C. Bénéteau, D. Thompson, and S. Bleiler, Annual Perspectives in Mathematics Education (APME), (2014), Karen Karp editor. pdf

5. Peer Led Guided Inquiry in Calculus at the Â鶹ÊÓƵ, C. Bénéteau, G. Fox, J. Holcomb, X. Xu, J. Lewis, K. Ramachandran, and S. Campbell, Journal of STEM Education, Vol. 17, No. 2, (2016), 5-13. pdf

6. Navigating co-teaching: perspectives from mathematicians, mathematics educators, and students, C. Bénéteau, S. Bleiler, G. Kersaint, M. Krajcevski, and D. Thompson, 13th International Congress on Mathematical Education. pdf

7. POGIL in the calculus classroom, C. Bénéteau, Z. Guadarrama, J. Guerra, L. Lenz, J. Lewis, A. Straumanis, PRIMUS, to appear.

8. Perspectives on Collaborative Teaching and Implications for Teacher Preparation, C. Bénéteau, S. Bleiler-Baxter, G. Kersaint, M. Krajcevski, and D. Thompson, preprint, under review.

9. Implementing Projects in Calculus on a Large Scale at the Â鶹ÊÓƵ, G. Fox, S. Campbell, A. Grinshpan, X. Xu, J. Holcomb, C. Bénéteau, J. Lewis, and K. Ramachandran, and S. Campbell, preprint.

Books

1. SPSS 13.0 Update, 2/E, supplement to Social Statistics R. Kendrick and C. Bénéteau, Allyn and Bacon, 2006. (16 page manual)

2. Calculus I: A Guided Inquiry, A. Straumanis, C. Bénéteau, Z. Guadarrama, J. Guerra, and L. Lenz, POGIL Press and Wiley, 2014 (246 pages).