报告摘要：

We will present an accessible introduction to the vast theory of Elliptic Curves, from an elementary standpoint, i.e. by looking for points with integer/rational coordinates in polynomial equations. Among other things, we will explain the concept of the rank of an elliptic curve, the group law for elliptic curves, Noam Elkies' record rank elliptic curve and the Birch and Swinnerton-Dyer conjecture. No previous knowledge of Elliptic Curves is necessary, this is designed to be a self-contained talk. In addition, the application of the above theories and mathematical models in the field of digital virtual asset safety will be introduced.

个人介绍：

Ilias S. Kotsireas received his undergraduate education at the University of Athens (Greece) and the Universite Paris 6 (France). He earned his PhD from the Universite Paris 6 in 1998 holding a 3-year scholarship from the Ministry of National Education. Subsequently he was awarded a two-year postdoctoral fellowship at the University of Western Ontario (London, Ontario, Canada) in 1999-2000, within the Ontario Research Center for Computer Algebra (ORCCA). In 2001 he was appointed as an Assistant Professor at Wilfrid Laurier University (Waterloo, Ontario, Canada). He was promoted to Associate Professor with Tenure in 2006 and to Full Professor in 2011. In 2002 he founded the CARGO Lab, http://www.cargo.wlu.ca and serves as its director for more than 15 years. He is a founding member and director of the Research Center on Computational Biomarkers, http://rccbm.org/ He has over 150 refereed journal and conference publications, chapters in books, edited books and special issues of journals, in the research areas of Computational Algebra, Metaheuristics, High-Performance Computing, Dynamical Systems and Combinatorial Design Theory. He serves on the Editorial Board of 7 international journals. He serves as the Managing Editor of a Springer journal and as the Editor in Chief of a Springer journal and a Birkhauser book series. He has organized a very large number of international conferences in Europe, North America and Asia, often serving as a Program Committee Chair or General Chair. His research work has gathered approximately 850 citations. He was a co-founder of the Computational Science seminar series at Wilfrid Laurier University and has been co-ordinating the seminar activities on a monthly basis for 10 years. His research is and has been funded by NSERC, the European Union and the National Natural Science Foundation of China (NSFC). He has received funding for conference organization from Maplesoft, the Fields Institute and several Wilfrid Laurier University offices. He served as Chair of the ACM Special Interest Group on Symbolic Computation (SIGSAM) on a 4-year term: July 2013 to July 2017. He is a co-chair of the Applications of Computer Algebra Working Group (ACA WG), a group of 45 internationally renowned researchers that oversee the organization of the ACA conference series. He has delivered more than 15 invited/plenary talks at conferences around the world.