Dr Kelly is a Lecturer in the School of Mathematics at Birmingham University and Associate Fellow at Homerton College. He came to Cambridge in 2014 after graduating with a PhD at the University of Pennsylvania, supervised by Ron Donagi.
His primary research interests are in mirror symmetry and algebraic geometry. Mirror symmetry is a mathematical conjecture inspired by a duality in string theory that links different geometric disciplines.
Charles F. Doran, Tyler L. Kelly, Adriana Salerno, Stephen Sperber, John Voight. Zeta Functions of Alternate Mirror Calabi-Yau Families, arxiv:1612.09249, 29 pages, to appear in Israel Journal of Mathematics.
David Favero, Tyler L. Kelly. Fractional Calabi-Yau Categories from Landau-Ginzburg Models. arXiv:1610:04918, 59 pages, to appear in Algebraic Geometry (Foundation Compositio).
Charles F. Doran, David Favero, Tyler L. Kelly. Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces, arXiv:1503.04888, 15 pages, to appear in Proceedings of the American Mathematical Society.
David Favero, Tyler L. Kelly. Proof of a conjecture of Batyrev and Nill, American Journal of Mathematics vol. 139 no. 6 (2017) 1493-1520.
Tyler L. Kelly. Picard Ranks of K3 Surfaces of BHK Type, Fields Institute Monographs, Calabi-Yau Varieties: Arithmetic, Geometry and Physics 34 (2015), 45-63.
Tyler L. Kelly. Berglund-Hübsch-Krawitz Mirrors via Shioda Maps, Advances in Theoretical and Mathematical Physics, 17 no. 6 (2013), 1425-1449.
Gilberto Bini, Bert van Geemen, Tyler L. Kelly. Mirror Quintics, Discrete Symmetries, and Shioda Maps, Journal of Algebraic Geometry, 21 (2012), 401-412.
Dept of Pure Mathematics and Mathematical Statistics