Summary
Alex is a Data Scientist/Senior Teaching Fellow with the Operations Management department at ICBS, and an active teacher in the Global Business Analytics MSc. He holds a M.A. and PhD in Mathematics from the University of California (Santa Cruz), and held a professorship in Mathematics from the Pontifical Catholic University (PUC-Rio) in Rio de Janeiro. He was previously a Visiting Lecturer in the Applied Mathematics Department at ICL working on stochastic models for various physical systems ranging from spinning tops to turbulent fluids. He has accumulated over 10 years of teaching experience across the globe, in diverse subjects in pure and applied mathematics. He has previously taught at the University of California in Santa Cruz (USA), the University of Toronto (Canada), and the Institute of Applied and Pure Mathematics (Brazil). With over 5 years of consultancy experience, he has made contributions in various industries, including machine learning and optimisation problems in fintech, health, energy, and more recently in retail. Some of his most recent industry partners include KPMG, Ion Trading (finance), Ovo Energy/Kaluza (energy), DoctorLink (health) and Otravo BV (retail), and a major maritime re-insurance company. He's also currently working with the financial sector advising on the uses of ML and AI for financial engineering and risk management.
Selected Publications
Journal Articles
Castro A, Colley SJ, Kennedy G, et al., 2017, A Coarse Stratification of the Monster Tower, Michigan Mathematical Journal, Vol:66, ISSN:0026-2285
Arnaudon A, De Castro AL, Holm D, 2017, Noise and Dissipation on Coadjoint Orbits, Journal of Nonlinear Science, Vol:28, ISSN:0938-8974, Pages:91-145
Castro AL, Howard WC, 2013, A Semple-type approach to a problem of Goursat: The multi-flag case, Comptes Rendus. Mathématique, Vol:351, Pages:921-925
Castro AL, Montgomery R, 2012, Spatial curve singularities and the monster/semple tower, Israel Journal of Mathematics, Vol:192, ISSN:0021-2172, Pages:381-427
Castro A, Montgomery R, 2008, The chains of left-invariant Cauchy–Riemann structures on SU(2), Pacific Journal of Mathematics, Vol:238, ISSN:0030-8730, Pages:41-71
Shi X, Ribeiro Castro AL, Manduchi R, et al., 2006, Rotational Invariant Operators Based on Steerable Filter Banks, IEEE Signal Processing Letters, Vol:13, ISSN:1070-9908, Pages:684-687
Conference
Ribeiro Castro A, 2017, Noise and dissipation in rigid body motion, Springer
Shanbrom C, Howard W, Castro AL, 2015, Bridges between subriemannian geometry and algebraic geometry: Now and then, The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain), American Institute of Mathematical Sciences