Dr. Leonardo Pinheiro

Education

• Ph.D, Mathematics - Bowling Green State University, 2014
• M.Sc., Mathematics - Bowling Green State University, 2007
• B.Sc., Mathematics - Universidade Federal do Rio de Janeiro, 2002

Selected Publications

• Burke, J., Burke, M., Pinheiro, L., & Richer, C. (2023). "Methods for counting the intersections of slopes in the flat torus." Transactions on Combinatorics, (), -. doi: 10.22108/toc.2023.135546.2023
• J. Burke and L.Pinheiro, “Topologically mixing extensions of endomorphisms on Polish groups”, Appl. Gen. Topol., Vol. 23, no. 1, pp. 179–187, 2022.
• K.C. Chan, L. Pinheiro, “Simultaneous chaotic extensions for general operators on a Hilbert subspace”, Journal of Mathematical Analysis and Applications, Vol. 448, Issue 2, pp. 937-967, 2017.
• K.C. Chan,  G.Kadel, L.Pinheiro, “Chaotic differentiation operators on harmonic functions and simple connectivity”, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas, Serie A; Milan Vol. 109, Issue 2, pp. 385-393, 2015.

Courses

• Math 552 - Topics in Applied Mathematics: Mathematical Finance
• Math 552 - Topics in Applied Mathematics: Introduction to Data Science
• Math 552 - Topics in Applied Mathematics: Mathematical Modeling
• Math 553 - Topics in Pure Mathematics: Functional Analysis
• Math 550 - Topics: Convex Optimization 
• Math 530 - Advanced Linear Algebra
• Math 528 - Topology
• Math 512 - Foundations of Higher Analysis
• Data 460 - Seminar in Data Science 
• Math 461 - Seminar in Mathematics
• Math 436 - Discrete Mathematics
• Math 417 - Introduction to Numerical Analysis
• Math 345 - Linear Models for Data Science 
• Data 345 Applied Linear Algebra for Statistical Learning
• Math 314 - Calculus 3
• Math 213 - Calculus 2
• Math 212 - Calculus 1
• Math 210 - Trigonometry
• Math 209 - Precalculus Mathematics
• Math 248 - Business Statistics I 
• Math 177 - Quantitative Business
• Math 139 - Contemporary Topics in Mathematics
• Math 120 - Intermediate Algebra
• Math 010 - Basics Math Competency
• CSCI 141 - Applications of Artificial Intelligence

Academic Interests

My research lays in the intersection of operator theory, functional analysis, and topological dynamics. I am particularly focused on the study of the dynamics of linear chaotic operators acting on topological vector spaces.  

I am also interested in statistical learning, applied statistics, and programming in R.