Working in various areas of Mathematics, Computational Mathematics, and Computer Science, I have introduced a number of new insights and novel methods, revealed unexpected links among some seemingly distant subjects, and proposed new research directions and new areas of study. I have presented my findings in four books, over 20 surveys in journals, magazines, and book chapters, over 80 refereed...

This monograph, based on Sandra Kübler’s Ph.D. thesis, introduces the reader to research at the intersection of data-driven parsing and memory-based learning. Compared to other approaches to parsing, including knowledgebased methods, memory-based parsing takes the provocative standpoint that new structures can be parsed by analogical reasoning over stored structures, rather than by abstracted r...