Miguel Ottina
Mathematician -- Ph.D. in Mathematics
DeFi Research Analyst
I obtained my Ph. D. in Mathematics in 2009 (and my degree in Mathematics in 2005) from the University of Buenos Aires (Facultad de Ciencias Exactas y Naturales).
After doing research in Algebraic Topology for approximately 15 years, I decided to shift to the blockchain industry. I am particularly interested in Decentralized Finance (DeFi) and I am already an expert in Automated Market Makers. I have written a book on this topic.
e-mail: miguelottina (at) gmail (dot) com
Book
Ottina, M., Steffensen, P. and Kristensen, J. Automated Market Makers. Apress. 2023. Amazon.
Whitepapers (DeFi)
Ottina, M. The Rebalancing Automated Market Maker. 2023. Link.
Publications in Algebraic Topology
Ottina, M. The crosscut poset. (2022). arXiv.
Cianci, N. and Ottina, M. Homology of posets with functor coefficients and its relation to Khovanov homology of knots. (2019). arXiv.
Cianci, N. and Ottina, M. Fibrations between finite topological spaces. (2019). arXiv.
Cianci, N. and Ottina, M. Fiber bundles over Alexandroff spaces. (2020). arXiv.
Cianci, N. and Ottina, M. Smallest weakly contractible non-contractible topological spaces. Proceedings of the Edinburgh Mathematical Society 63 (2020) 263-274. To article. arXiv.
Cianci, N. and Ottina, M. A combinatorial characterization of Hurewicz cofibrations between finite topological spaces. Topology and its Applications 256 (2019) 235-247. To article. arXiv.
Cianci, N. and Ottina, M. Poset splitting and minimality of finite models. Journal of Combinatorial Theory, Series A 157 (2018), 120-161. To article. arXiv.
Cianci, N. and Ottina, M. A new spectral sequence for homology of posets. Topology and its Applications 217 (2017), 1-19. To article. arXiv.
Ottina, M. An A-based cofibrantly generated model category. Topology and its Applications 197 (2016), 60-74. To article. arXiv.
Ottina, M. A-homology, A-homotopy and spectral sequences. Journal of Homotopy and Related Structures 6 (2011), 161-173. To article. arXiv.
Minian, G. and Ottina, M. A geometric decomposition of spaces into cells of different types II: Homology Theory. Topology and its Applications 155 (2008) 1777-1785. To article.
Minian, G. and Ottina, M. A geometric decomposition of spaces into cells of different types. Journal of Homotopy and Related Structures 1 (2006), 245-271. To article. arXiv.