معرفی
Eyal Z. Goren is a Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on arithmetic geometry, including studies of Shimura varieties, modular forms, complex multiplication, expander graphs, arithmetic dynamics, and mathematical cryptography. He is affiliated with the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), a Montreal-based group in number theory. Goren’s work bridges pure mathematics and applications in cryptography, with notable contributions to the theory of supersingular elliptic curves and cryptographic hash functions derived from expander graphs.
- Education: PhD in Mathematics from the Hebrew University of Jerusalem (1996), advised by Ehud De Shalit.
- Teaching: Teaches advanced courses such as Higher Algebra I/II, Algebra 1/2/3/4, Number Theory, and specialized topics like Unlikely Intersections.
- Affiliations: Active member of CICMA and the CRM (Centre de Recherches Mathématiques), collaborating on seminars and research initiatives.
Research Interests: Goren’s work emphasizes the interplay between number theory and geometry, with recent focus on p-adic dynamics, canonical subgroups, and Faltings heights. His studies on Picard modular forms and Shimura varieties explore geometric structures in positive characteristic and their arithmetic implications.
Publications: Over 40 articles in leading journals, including Inventiones Mathematicae, Compositio Mathematica, and Journal für die reine und angewandte Mathematik. His book Lectures on Hilbert Modular Varieties and Modular Forms is a key resource in the field.
Grants and Collaboration: Engaged in collaborative projects on expander graphs, post-quantum cryptography, and the geometry of abelian varieties with complex multiplication. His research is supported by grants from the NSERC and other agencies.
