Assistant Professor of Mathematics
Ph.D., California Institute of Technology, 2012 (Advisor: B. Simon)
B.A., Williams College, 2007
Dr. Simanek joined the Baylor faculty in 2015. He grew up in Pittsburgh, PA before attending Williams College, where he met his wife Becca. As a graduate student at Caltech, he began research into the spectral theory of orthogonal polynomials, but has since branched into other areas of analysis, such as potential theory. Aside from mathematics, he enjoys outdoor adventures like swimming, biking, and camping, and following sports of all kinds.
Academic Interests and Research
Brian Simanek’s research interests include orthogonal polynomials, potential theory, and spectral theory.
1. Weak convergence of CD kernels: A new approach on the circle and real line, Journal of Approximation Theory, 164 (2012), no. 1, 204-209.
2. A new approach to ratio asymptotics for orthogonal polynomials, Journal of Spectral Theory 2 (2012), no. 4, 373-395.
3. (with E. Mina-Diaz) Spectral transforms of measures and orthogonal polynomials on regions, Journal of Mathematical Analysis and Applications, 407 (2013), no. 2, 290-304.
4. Ratio asymptotics, Hessenberg matrices, and weak asymptotic measures, International Math Research Notices (2014), no. 24, 6798-6825.
5. The Bergman Shift operator on polynomial lemniscates, Constructive Approximation 41 (2015), no. 1, 113-131.
Dr. Simanek’s enjoys teaching all mathematics classes and is very interested in designing advanced mathematics courses for undergraduates and graduate students.
Courses taught at Baylor
MTH 1321 - Calculus I
MTH 1322 - Calculus II
MTH 2321 - Calculus III
MTH 4329 - Complex Variables
MTH 6V23 - Potential Theory