STRING DUALITY

• Mirror Symmetry for Lattice Polarized Del Pezzo Surfaces. Charles Doran, Alan Thompson. Communications in Number Theory and Physics 12 (2018) Number 3, 543-580.
• 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. 45 pages.
• ​​Calabi-Yau Threefolds Fibred by High Rank Lattice Polarized K3 Surfaces. Charles Doran, Andrew Harder, Andrey Novoseltsev, Alan Thompson. Mathematische Zeitschrift (2019). https://doi.org/10.1007/s00209-019-02279-9
• K3 Orientifolds. Charles Doran, Andreas Malmendier, Stefan Méndez-Diez, Jonathan Rosenberg. 18 pages.
• Zeta Functions of Alternate Mirror Calabi-Yau Families. Charles Doran, Tyler Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher. Israel Journal of Mathematics.
• Mirror Symmetry, Tyurin Degenerations, and Fibrations on Calabi-Yau Manifolds. Charles Doran, Andrew Harder, Alan Thompson.  String-Math 2015.
• Vertical D4-D2-D0 Bound States on K3 Fibrations and Modularity. Vincent Bouchard, Thomas Creutzig, Duiliu-Emanuel Diaconescu, Charles Doran, Callum Quigley, Artan Sheshmani. Communications in Mathematical Physics, Volume 350, Issue 3, 1069-1121 (2017).
• 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.
• String Theory on Elliptic Curve Orientifolds and KR-Theory; Charles Doran, Stefan Méndez-Diez, Jonathan Rosenberg; 2015; Communications in Mathematical Physics, April 2015, Volume 335, Issue 2, pp. 955-1001.
• 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.
• T-Duality for Orientifolds and Twisted KR-Theory; Charles Doran, Stefan Méndez-Diez, Jonathan Rosenberg; 2014; Letters in Mathematical Physics, November 2014, Volume 104, Issue 11, pp. 1333-1364.
• 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.
• Modular Forms and String Duality, Noriko Yui, Helena Verrill, Charles Doran, Eds.; 2008; Fields Institute Communications, 54, 297 pages.
• 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.
• Crosscaps in Gepner Models and the Moduli Space of T2 Orientifolds; Brandon Bates, Charles Doran, Koenraad Schalm; 2007; Advances in Theoretical and Mathematical Physics, Volume 11, Number 5, 839-912.
• On K3 Surfaces with Large Complex Structure; Adrian Clingher, Charles Doran; 2007; Advances in Mathematics, 215, 504-539.
• 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.
• Four-Dimensional N = 1 Super Yang-Mills Theory from an M-Theory Orbifold. Charles Doran, Michael Faux, Burt Ovrut; 2003; Advances in Theoretical and Mathematical Physics, 6, 329-355.
• Intersecting Branes in M-Theory and Chiral Matter in Four Dimensions; Charles Doran, Michael Faux; 2002; Journal of High Energy Physics, JHEP08, 024.
• Algebro-geometric Isomonodromic Deformations Linking Hauptmoduls: Variation of the Mirror Map. Charles Doran; 2001; Centre de Recherches Mathematiques: CRM Proceedings and Lecture Notes, 30, 27-35.
• Picard-Fuchs Uniformization and Modularity of the Mirror Map; Charles Doran; 2000; Communications in Mathematical Physics, 212, 625-647.
• Picard-Fuchs Uniformization: Modularity of the Mirror Map and Mirror- Moonshine. Charles Doran; 2000; Centre de Recherches Mathematiques: CRM Proceedings and Lecture Notes, 24, 257-281.