Tyler L. Kelly
I am an EPSRC Research Fellow and an NSF Postdoctoral Fellow in mathematics. I study mirror symmetry, a field that studies the mathematical implications of dualities coming from string theory. In particular, I prove theorems that link various disciplines of mathematics such as algebraic geometry, symplectic geometry, number theory, and combinatorics by finding what connections are predicted by string theory.
- Mirror Symmetry
- Algebraic Geometry
- Calabi-Yau Geometry
- Toric Geometry
Current Research Projects:
- Bridging Frameworks via Mirror Symmetry - EPSRC-funded research fellowship (EP/N004922/1)
- Exotic Mirror Symmetry Constructions - NSF-funded research fellowship (DMS-1401446)
- Topics in Algebraic Geometry (Lent 2016)
- Advisor for Part III Essay on Batyrev-Borisov Mirror Symmetry
- Reviewer for MathReviews
- PhD from University of Pennsylvania (2014), BS, AB, MA from University of Georgia (2009)
- Engineering and Physical Science Research Council Mathematics Fellow (2015)
- National Science Foundation Mathematical Science Postdoctoral Research Fellow (2014)
- National Science Foundation Graduate Research Fellow (2009-2014)
- Herb Wilf Memorial Prize (2013-2014)
- University of Pennsylvania’s Dean’s Award for Distinguished Teaching by a Graduate Student (2012)
- The Alan Jaworski Award for top graduating male physical science student in Honors College at the University of Georgia (2009)
- Charles M. Strahan Award for top junior in mathematics at the University of Georgia (2008)
- London Mathematical Society
On Berglund-Hübsch-Krawitz Mirror Symmetry
- T. L. Kelly, Picard Ranks of K3 Surfaces of BHK Type, Fields Institute Monographs, vol. 34}$ (2015), 45-63
- T. L. Kelly, Berglund-Hübsch-Krawitz Mirrors via Shioda Maps, Advances in Theoretical and Mathematical Physics, vol. 17 no. 6 (2013), 1425-1449.
- G. Bini, B. van Geemen, T. L. Kelly, Mirror Quintics, Discrete Symmetries, and Shioda Maps, Journal of Algebraic Geometry, vol 21 (2012), 401-412.
- UGA VIGRE Algebra Group, On Kostant's theorem for Lie algebra cohomology, Contemporary Mathematics, 478 (2008), 39-60.