TORIC GEOMETRY
- Specialization of Cycles and the K-Theory Elevator. Charles Doran, Matt Kerr, James Lewis, Jaya Iyer, Pedro Luis del Angel, Stefan Müller-Stach, Deepam Patel. 43 pages.
- Mirror Symmetry, Tyurin Degenerations, and Fibrations on Calabi-Yau Manifolds. Charles Doran, Andrew Harder, Alan Thompson. String-Math 2015.
- Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces. Charles Doran, David Favero, Tyler Kelly. Proceedings of the American Mathematical Society.
- Toric Degenerations and Laurent Polynomials related to Givental's Landau-Ginzburg Models; Charles Doran, Andrew Harder; 2016; Canadian Journal of Mathematics, Volume 68 (2016), 784-815.
- String-Math 2014, Vincent Bouchard, Charles Doran, Stefan Méndez-Diez, Callum Quigley, Eds.; 2016; American Mathematical Society, Proceedings of Symposia in Pure Mathematics 93, 396 pages.
- The 14th Case VHS via K3 Fibrations. Adrian Clingher, Charles Doran, Jacob Lewis, Andrey Novoseltsev, Alan Thompson; 2016; In Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic, Cambridge University Press, London Mathematical Society Lecture Note Series 427, 165-227.
- Families of Lattice Polarized K3 Surfaces with Monodromy; Charles Doran, Andrew Harder, Andrey Novoseltsev, Alan Thompson; 2015; International Mathematics Research Notices, 2015 (23): 12265-12318.
- Algebraic Cycles and Local Quantum Cohomology; Charles Doran, Matt Kerr; 2014; Communications in Number Theory and Physics, Volume 8 (2014), Number 4, pp. 703-727.
- Short Tops and Semistable Degenerations; Ryan Davis, Charles Doran, Adam Gewiss, Andrey Novoseltsev, Dmitri Skjorshammer, Alexa Syryczuk, Ursula Whitcher; 2014; Experimental Mathematics, Volume 23, Issue 4, 2014, pp. 351-362.
- Modularity of Fano Varieties. Charles Doran, Andrew Harder, Ludmil Katzarkov, Jacob Lewis, Victor Przyjalkowski. 37 pages.
- From Polygons to String Theory; Charles Doran, Ursula Whitcher; 2012; Mathematics Magazine, Volume 85, Number 5, December 2012, pp. 343-360.
- Hori-Vafa Mirror Periods, Picard-Fuchs Equations, and Berglund-Hübsch-Krawitz Duality; Charles Doran, Richard Garavuso; 2011; Journal of High Energy Physics, October 2011, 2011:128.
- Algebraic K-Theory of Toric Hypersurfaces; Charles Doran, Matthew Kerr; 2011; Communications in Number Theory and Physics, Vol. 5, No. 2, pp. 397-600.
- Closed Form Expressions for Hodge Numbers of Complete Intersection Calabi-Yau Threefolds in Toric Varieties. Charles Doran, Andrey Novoseltsev; 2010; In Mirror Symmetry and Tropical Geometry, Contemporary Mathematics, Vol. 527, pp. 1-14.
- Yau's Work on Moduli, Periods, and Mirror Maps for Calabi-Yau Manifolds. Charles Doran; 2010; In Geometry and Analysis, Volume I. Editor L. Ji. Pages 93-102.
- Normal Forms, K3 Surface Moduli, and Modular Parametrizations. Adrian Clingher, Charles Doran, Jacob Lewis, Ursula Whitcher; 2009; In Groups and Symmetries, proceedings of the CRM conference in honor of John McKay. CRM Proceedings & Lecture Notes, 47, 81-98.
- Modular Forms and String Duality, Noriko Yui, Helena Verrill, Charles Doran, Eds.; 2008; Fields Institute Communications, 54, 297 pages.
- Numerical Kähler-Einstein Metric on the Third del Pezzo. Charles Doran, Matthew Headrick, Christopher Herzog, Joshua Kantor, Toby Wiseman; 2008; Communications in Mathematical Physics, Volume 282, Number 2, 357-393.
- Families of Quintic Calabi-Yau 3-Folds with Discrete Symmetries; Charles Doran, Brian Greene, Simon Judes; 2008; Communications in Mathematical Physics, Volume 280, Number 2, 675-725.
- On Stokes Matrices of Calabi-Yau Hypersurfaces; Charles Doran, Shinobu Hosono; 2007; Advances in Theoretical and Mathematical Physics, 11, Issue 1, 147-174.
- Algebraic Topology of Calabi-Yau Threefolds in Toric Varieties; Charles Doran, John Morgan; 2007; Geometry and Topology, 11, 597-642.
- Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds. Charles Doran, John Morgan; 2006; In Mirror Symmetry V, AMS/IP Studies in Advanced Mathematics, 38, 517-537.