E. Cabral Balreira, Ph.D.
- Professor , Mathematics
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While teaching a broad range of math courses at all curriculum levels, professor Balreira has been active in course development while delivering what his department chair describes as "clear and well-prepared lectures in an enthusiastic and engaging manner." His research focuses on geometric methods in discrete dynamical systems. He is also interested in predictive analytics with applications to Sports Analytics and Mathematical Biology.
- University of Notre Dame
- “Global stability of higher dimensional monotone maps” work with Saber Elaydi and Rafael Luis, Journal of Difference Equations and Applications, 23 (2017), 2037–2071.
- "How do lizards determine dominance? Applying ranking algorithms to animal social behaviour", work with Jordan M. Bush*, McKenzie M. Quinn*, Michele A. Johnson, Animal Behaviour, 118 (2016), 65-74.
- “Global Dynamics of Triangular Maps”, work with Saber Elaydi and Rafael Luis, Nonlinear Analysis Series A: Theory, Methods & Applications, Accepted, 104 (2014), 75-83.
- "An Oracle method to predict NFL games", work with Brian K. Miceli, and Thomas Tegtmeyer, Journal of Quantitative Analysis in Sports, 10 (2014), no. 2, 183–196.
- “Local stability implies global stability for the planar Ricker competition model”, work with Saber Elaydi and Rafael Luis, Discrete and Continuous Dynamical Systems - Series B, 19 (2014), no. 2.323–351
- “Mathematical Classification of Tight Junction Protein Images”, work with Katherine Ogawa*, Caitlin M. Troyer*, Robert G. Doss*, Farzan Aminian, and Jonathan M. King, Journal of Microscopy, 252 (2013), no. 2, 100–110.
*denotes undergraduate co-author
- Discrete Dynamical Systems
- Sports Analytics
- Global Injectivity
- NSF grant 0926702 (Senior Personnel), "UBM Institutional: Integrated Research in Biomathematics at Trinity University", 2010-2014
- Trinity University Award for Distinguished Teaching and Research, 2012.