79 citations · 416 across the 46 of their papers we have counts for
53 papers
Degenerations, fibrations and higher rank Landau-Ginzburg models
Charles F. Doran, Jordan Kostiuk, Fenglong You
We study semi-stable degenerations of quasi-Fano varieties to unions of two pieces. We conjecture that the higher rank Landau-Ginzburg models mirror to these two pieces can be glue…
Unwinding toric degenerations and mirror symmetry for Grassmannians
Tom Coates, Charles Doran, Elana Kalashnikov
The most fundamental example of mirror symmetry compares the Fermat hypersurfaces in P^n and P^n/G, where G is a finite group that acts on P^n and preserves the Fermat hypersurface…
and quantum curves
Charles F. Doran, Matt Kerr, Soumya Sinha Babu
A 2015 conjecture of Codesido-Grassi-Mariño in topological string theory relates the enumerative invariants of toric CY 3-folds to the spectra of operators attached to their mirror…
The Mirror Clemens-Schmid Sequence
Charles F. Doran, Alan Thompson
We introduce a four-term long exact sequence that relates the cohomology of a smooth variety admitting a projective morphism onto a projective base to the cohomology of the open se…
Towards the Doran-Harder-Thompson conjecture via the Gross-Siebert program
Lawrence J. Barrott, Charles F. Doran
The Doran-Harder-Thompson "gluing/splitting" conjecture unifies mirror symmetry conjectures for Calabi-Yau and Fano varieties, relating fibration structures on Calabi-Yau varieties…
Geometric Variations of Local Systems and Elliptic Surfaces
Charles Doran, Jordan Kostiuk
Geometric variations of local systems are families of variations of Hodge structure; they typically correspond to fibrations of Kähler manifolds for which each fibre itself is fibr…