Victor Pan – My Research Journey

I have been working in Mathematics, Computational Mathematics, and Computer Science for more than five decades, facing research challenges and seeking new insights and novel methods. I was thrilled whenever I discovered new keys that opened challenging scientific locks, particularly when a single key opened a number of locks, as this was the case with my techniques of active operation/linear substitution, trilinear aggregation, and transformation of matrix structures. My work has contributed to the creation of the fields of the Complexity of Algebraic Computations and Algebraic Multigrid and to significantly advancing some other research areas such as fast and processor-efficient parallel algorithms, computations with structured matrices and Symbolic-Numerical Computations. Some of my techniques, insights, concepts and definitions are commonly used, sometimes as folklore. My research has revealed a number of important but hidden links among apparently distant subjects and helped bring together research in various areas of computing such as symbolic computations, numerical computations, theoretical computer science and applied linear algebra. I am grateful for recognition and support of my effort by leading experts, foundations (I received from National Science Foundation (NSF) over $2,500,000 for 1980-2020, over $1,000,000 of them for 2016-2020 and in 1993 I received Special Creativity Extension Award from the Numeric, Symbolic, and Geometric Computation Program of the CCR Division in the Directorate CISE of NSF), journals, professional societies, research centers and universities (over $130,000 came from the City University of New York (CUNY) in 1989-2018). Enthusiastic reviews and citations of my work appeared in books, journals (including the Best Paper Award 2000, Journal of Complexity, shared), and magazines. In 2013 I was designated a Fellow of American Mathematical Society “For Contributions to the Mathematical Theory of Computation”. According to Google Scholar and DBLP, I published four books (1623+LXXIV pages overall), over 20 surveys in journals and book chapters, over 170 research articles in journals and over 90 in refereed conference proceedings. Almost all my publications are in Computer Science and Computational and Applied Mathematics. I have also disseminated my find-