Research Interests

My research focus lies at the intersection of algebraic topology, data analysis and computational methods. My main interest consists in the application and adaptation of ideas from algebraic and geometric topology to the study of high-dimensional and complex data. Other interests include computer vision and computational biology.

Selected Publications

• Tralie C. J. & Perea J. A. (2017), (Quasi)Periodicity Quantification in Video Data, Using Topology, arXiv:1704.08382  Open
• Perea, J. A. (2016). Multi-scale projective coordinates via persistent cohomology of sparse filtrations, arXiv:1612.02861  Open
• Perea, J. A. (2016). Persistent Homology of Toroidal Sliding Window Embeddings. , In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 6435-6439.  Open
• Perea, J. A., Deckard, A., Haase, S. B., & Harer, J. (2015). SW1PerS: Sliding windows and 1-persistence scoring; discovering periodicity in gene expression time series data. BMC Bioinformatics, 16(1), 257.   Open
• Perea, J. A., & Harer, J. (2015). Sliding windows and persistence: An application of topological methods to signal analysis. Foundations of Computational Mathematics, 15(3), 799-838.  Open
• Perea, J. A., & Carlsson, G. (2014). A Klein-bottle-based dictionary for texture representation. International journal of computer vision, 107(1), 75-97.  Open