TORIC GEOMETRY
- Towards the Doran-Harder-Thompson Conjecture via the Gross-Siebert Program. Lawrence J. Barrott, Charles Doran, arXiv:2105.02617v1 [math.AG] 6 May 2021: 31 pages
- Degenerations, Fibrations, and Higher Rank Landau-Ginzburg Models. Charles Doran, Jordan Kostiuk, and Fenglong You, arXiv:2112.12891v1 [math.AG] 24 Dec 2021: 41 pages
- The Motivic Geometry of Two-Loop Feynman Integrals. Charles Doran, Andrew Harder, Pierre Vanhove (with an appendix by Eric Pichon-Pharabod), arXiv:2302.14840 [math.AG] 28 Feb 2023: 67 pages
- Modularity of Landau-Ginzburg Models. Charles Doran, Andrew Harder, Ludmil Katzarkov, Mikhail Ovcharenko, Victor Przyjalkowski, arXiv:2307.15607 [math.AG] 28 Jul 2023: 252 pages
- K2 and Quantum Curves. Charles Doran, Matt Kerr, Soumya Sinha Babu. To appear in Advances in Theoretical and Mathematical Physics (2023): 51 pages
- The Doran-Harder-Thompson Conjecture for Toric Complete Intersections. Charles Doran, Jordan Kostiuk, Fenglong You. Advances in Mathematics, Volume 415 (2023), 108893 : 47 pages
- Unwinding Toric Degenerations and Mirror Symmetry for Grassmannians. Tom Coates, Charles Doran, Alana Kalashnikov. Forum of Mathematics, Sigma, Volume 10 (2022), e111: 33 pages
- Hypergeometric Decomposition of Symmetric K3 Quartic Pencils. Charles Doran, Tyler Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher. Research in the Mathematical Sciences 7, Article number: 7 (2020): 81 pages
- Calabi-Yau Manifolds Realizing Symplectically Rigid Monodromy Tuples. Charles Doran and Andreas Malmendier. Advances in Theoretical and Mathematical Physics, Volume 23 (2019) Issue 5, 1271-1359
- 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
- Mirror Symmetry, Tyurin Degenerations, and Fibrations on Calabi-Yau Manifolds. Charles Doran, Andrew Harder, Alan Thompson; 2018; In String-Math 2015, American Mathematical Society, Proceedings of Symposia in Pure Mathematics, 96, 93-132
- 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
- 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
- From Polygons to String Theory. Charles Doran, Ursula Whitcher; 2012; Mathematics Magazine, Vol 85, Number 5, December 2012, 343-3
- 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; Commun. Number Theory Phys, 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. Pages 93-10
- Normal Forms, K3 Surface Moduli, and Modular Parametrizations. Adrian Clingher, Charles Doran, Jacob Lewis, Ursula Whitcher; 2009; In Groups and Symmetries, CRM Proceedings and 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, 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
- 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