K-THEORY
- K2 and Quantum Curves. Charles Doran, Matt Kerr, Soumya Sinha Babu. To appear in Advances in Theoretical and Mathematical Physics (2023): 51 pages
- Specialization of Cycles and the K-Theory Elevator. Pedro Luis del Angel, Charles Doran, Matt Kerr, James Lewis, Jaya Iyer, Stefan Müller-Stach, Deepam Patel. Communications in Number Theory and Physics, Volume 13 (2019) Number 2, 299-349
- Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces. Charles Doran, David Favero, Tyler Kelly. Proceedings of the American Mathematical Society, 146 (2018), 4633-4647
- Vertical D4-D2-D0 Bound States on K3 Fibrations and Modularity. Vincent Bouchard, Thomas Creutzig, Duiliu-Emanuel Diaconescu, Charles Doran, Callum Quigley, Artan Sheshmani; 2017; Communications in Mathematical Physics 350, 1069-1121 (2017)
- String Theory on Elliptic Curve Orientifolds and KR-Theory. Charles Doran, Stefan Méndez-Diez, Jonathan Rosenberg; 2014; 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
- Normal Functions, Picard-Fuchs Equations, and Elliptic Fibrations on K3 Surfaces. Xi Chen, Charles Doran, Matt Kerr, James Lewis ; 2014 ; Journal für die reine und angewandte Mathematik (Crelles Journal), DOI: 10.1515/crelle-2014-0085, November 2014
- 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
- Algebraic K-Theory of Toric Hypersurfaces. Charles Doran, Matthew Kerr; 2011; Commun. Number Theory Phys, Vol 5, No 2, pp. 397-600
- On Stokes Matrices of Calabi-Yau Hypersurfaces. Charles Doran, Shinobu Hosono; 2007; Advances in Theoretical and Mathematical Physics, Volume 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, Issue 5, 839-912
- 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
- Superschool on Derived Categories and D-branes. Matthew Ballard, Charles Doran, David Favero, Eric Sharpe, Eds Springer Proc Math Stat, Vol 240 (2018)
- 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
- Yau's Work on Moduli, Periods, and Mirror Maps for Calabi-Yau Manifolds. Charles Doran; 2010; In “Geometry and Analysis,” Volume I. Pages 93-10
- Modular Forms and String Duality. Noriko Yui, Helena Verrill, Charles Doran, Eds; 2008; Fields Institute Communications, 54, 297 pages
- K3 Orientifolds. Charles Doran, Andreas Malmendier, Stefan Méndez-Diez, Jonathan Rosenberg. 35 pages