Prof Tyler Kelly

Tyler Kelly

Professor of Pure Mathematics

School of Mathematical Sciences
Queen Mary University of London
www.qmul.ac.uk/maths/profiles/kellyt.html
Centre for Combinatorics, Algebra and Number Theory
ORCID

Research

algebraic geometry, mirror symmetry

Interests

Prof Kelly's research predominantly falls in mirror symmetry, but broadly covers topics in algebraic geometry, mathematical physics, combinatorics, homological algebra, and number theory. Kelly's research interests are broad.

A main object of study is Landau-Ginzburg models. Their derived categories are generalisations of the derived categories of algebraic varieties, and are used to allow one to study algebraic varieties with complicated geometry by viewing them as critical loci of algebraic functions on less complicated algebraic varieties.

Kelly's research also surrounds the enumerative geometry of Landau-Ginzburg models with a view towards understanding their mirror symmetry.

Lastly, Kelly's research investigates the interplay of complex algebraic geometry and number theory by interpolating between the two fields using hypergeometric functions.