Vahagn Aslanyan

I am a Dame Kathleen Ollerenshaw Fellow in the Department of Mathematics at the University of Manchester, also supported by an EPSRC Open Fellowship. From 2022 to 2023 I was a Leverhulme Trust Early Career Fellow at the University of Leeds. From 2019 to 2022 I was a senior research associate at the University of East Anglia. From 2017 to 2019 I was a postdoctoral associate at Carnegie Mellon University and concurrently a junior researcher at the National Academy of Sciences of Armenia. I did my PhD (DPhil) at the University of Oxford from 2013 to 2017 under the supervision of Boris Zilber and Jonathan Pila. I received my bachelor's degree from Yerevan State University in 2013 where my undergraduate dissertation was supervised by Yuri Movsisyan.

My primary research interests are in model theory, a branch of mathematical logic with a broad range of applications. More specifically, I am interested in applications of model theory in number theory, geometry, algebra, and analysis. My current work is mostly about the Zilber-Pink conjecture and the Existential Closedness conjecture. Zilber-Pink is a far-reaching generalisation of some famous Diophantine conjectures (André-Oort, Manin-Mumford, Mordell-Lang) concerned with "special" solutions of polynomial equations. Existential Closedness is about solvability of systems of equations involving addition, multiplication, and certain "classical" functions, e.g. the complex exponential function or the modular j-function.

In the past I did research in universal algebra studying the first and second order properties of De Morgan algebras and De Morgan functions.