معرفی
Vahagn Aslanyan is a Dame Kathleen Ollerenshaw Fellow in the Department of Mathematics at the University of Manchester, supported by an EPSRC Open Fellowship. Previously, he held roles including a Leverhulme Trust Early Career Fellowship at the University of Leeds (2022-2023), senior research associate at the University of East Anglia (2019-2022), and postdoctoral positions at Carnegie Mellon University and the National Academy of Sciences of Armenia (2017-2019). He earned a DPhil in Mathematics from the University of Oxford (2013-2017), supervised by Boris Zilber and Jonathan Pila, and a BSc in De Morgan Algebras from Yerevan State University (2009-2013).
Education:
- Doctor of Philosophy (DPhil), University of Oxford, 2017
- Bachelor of Science, Yerevan State University, 2013
Research Interests:
Aslanyan specializes in model theory, particularly its applications to number theory, geometry, algebra, and analysis. His current work focuses on the Zilber-Pink conjecture and the Existential Closedness conjecture. The Zilber-Pink conjecture generalizes Diophantine conjectures like André-Oort and Manin-Mumford, addressing 'special' solutions in polynomial equations. The Existential Closedness conjecture explores solvability of equations involving addition, multiplication, and classical functions (e.g., complex exponentials or modular j-functions). Earlier research included universal algebra, studying De Morgan algebras and functions.
Publications:
His recent work emphasizes foundational problems in model theory and number theory, with a focus on exponential fields and modular functions. Key themes include algebraic structures in Zilber’s frameworks, unlikely intersections in Shimura varieties, and modular j-function properties. Articles often bridge pure logic with analytic and geometric techniques, contributing to open conjectures like Schanuel’s and the modular Zilber-Pink conjecture.
Awards:
- EPSRC Open Fellowship
- Leverhulme Trust Early Career Fellowship
- Dame Kathleen Ollerenshaw Fellowship
Grants & Advising: Actively involved in grant-funded research, Aslanyan’s EPSRC and Leverhulme support his investigations into existential closedness and Diophantine geometry. He currently accepts PhD students in model theory and related fields.
