
The University of Arizona
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Marek Rychlik is a Full Professor of Mathematics and Professor in the Graduate Interdisciplinary Program in Applied Mathematics at The University of Arizona. He earned his PhD in 1983 from the University of California, Berkeley, with a dissertation titled "Invariant Measures and the Variational Principle for Lozi Mapping" supervised by Jacob Feldman. Early career appointments include Teaching Associate and Visiting Lecturer at the University of California, Berkeley, Acting Assistant Professor at the University of Washington from 1984 to 1987, and Visiting Member at the Institute for Advanced Study in Princeton from 1987 to 1989. Since joining The University of Arizona, he has taught undergraduate and graduate mathematics courses, served as a member of the Graduate Faculty, and supervised eleven PhD students whose dissertations were completed between 1994 and 2021, including works on dynamical systems and applied mathematics topics.
Rychlik's academic interests encompass dynamical systems, computational science, numerical analysis, statistics, probability, stochastic processes, neural networks, optical character recognition, error-correcting codes, RAID systems, and large-scale data extraction from organ donor documents. His key publications include "A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck" in Inventiones Mathematicae (1997), "Renormalization of cocycles and linear ODE with almost-periodic coefficients" in Inventiones Mathematicae (1992), "Regularity and other properties of absolutely continuous invariant measures for the quadratic family" in Communications in Mathematical Physics (1992), "Lorenz attractors through Šil'nikov-type bifurcation. Part I" in Ergodic Theory and Dynamical Systems (1990), "Deductron—A Recurrent Neural Network" in Frontiers in Applied Mathematics and Statistics (2020), and "Large-scale data extraction from the UNOS organ donor documents" (arXiv, 2023). Additional contributions appear in books such as "Complexity and Applications of Parametric Algorithms of Computational Algebraic Geometry" (2000) and "Invariant Measures and the Variational Principle for Lozi Mappings" (2004). Rychlik has received University of Arizona Patent Coins for innovations in RAID technology and founded Xoralgo, Inc. in 2018 as CEO and President to commercialize systematic codes protecting against multiple errors, erasures, and silent data corruption. He also served as Chief Science Officer at Qbit, LLC, and Senior Research Mathematician there from 2004 to 2008, earning C Programmer Certification in the 97th percentile and C++ Programmer Certification in the 94th percentile from Brainbench in 2007.
Professional Email: rychlik@arizona.edu