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His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.
In 1994 he received the Award for Distinguished University Teaching from the Northeastern section of the Mathematical Association of America. In 1995 he was the recipient of the Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching at the annual meeting of the Mathematical Association of America. In 1996, he was awarded the Boston University Scholar/Teacher of the Year Award. In 2002 he received the National Science Foundation Director's Award for Distinguished Teaching Scholars. In 2002, he also received the ICTCM Award for Excellence and Innovation with the Use of Technology in Collegiate Mathematics. In 2003, he was the recipient of Boston University's Metcalf Award for Teaching Excellence. In 2004 he was named the Carnegie/CASE Massachusetts Professor of the Year. In 2005 he received the Trevor Evans Award from the Mathematical Association of America for an article entitled Chaos Rules published in Math Horizons. In 2009 he was inducted into the Massachusetts Mathematics Educators Hall of Fame. In 2010 he was named the Feld Family Professor of Teaching Excellence at Boston University. And, in 2012, he was named a Fellow of the American Mathematical Society.
In 1994 he received the Award for Distinguished University Teaching from the Northeastern section of the Mathematical Association of America. In 1995 he was the recipient of the Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching at the annual meeting of the Mathematical Association of America. In 1996, he was awarded the Boston University Scholar/Teacher of the Year Award. In 2002 he received the National Science Foundation Director's Award for Distinguished Teaching Scholars. In 2002, he also received the ICTCM Award for Excellence and Innovation with the Use of Technology in Collegiate Mathematics. In 2003, he was the recipient of Boston University's Metcalf Award for Teaching Excellence. In 2004 he was named the Carnegie/CASE Massachusetts Professor of the Year. In 2005 he received the Trevor Evans Award from the Mathematical Association of America for an article entitled Chaos Rules published in Math Horizons. In 2009 he was inducted into the Massachusetts Mathematics Educators Hall of Fame. In 2010 he was named the Feld Family Professor of Teaching Excellence at Boston University. And, in 2012, he was named a Fellow of the American Mathematical Society.
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Springer Proceedings in Mathematics & StatisticsTopological Dynamics and Topological Data Analysispp.95-119, (2021)
Hamiltonian Dynamical Systemspp.555-565, (2020)
TEACHING AND LEARNING DISCRETE MATHEMATICS WORLDWIDE: CURRICULUM AND RESEARCH (2018)
Springer Proceedings in Mathematics & StatisticsDifference Equations, Discrete Dynamical Systems and Applicationspp.63-72, (2016)
Ergodic Theory, Dynamical Systems, and the
Continuing Influence of John C. OxtobyContemporary Mathematicspp.133-150, (2016)
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