STRING DUALITY
String Duality explores the relationships between various string theories, revealing that different formulations are actually manifestations of a single, unified theory. This duality provides deep insights into the geometric and physical properties of string theory, advancing our understanding of fundamental physics.
Partially generated with ChuckGPT, a custom GPT trained on my papers.
Partially generated with ChuckGPT, a custom GPT trained on my papers.
- 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 Mirror Clemens-Schmid Sequence. Charles Doran and Alan Thompson, arXiv:2109.04849v2 [math.AG] 13 May 2022: 28 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
- Normal Forms and Tyurin Degenerations of K3 Surfaces Polarized by a Rank 18 Lattice. Charles Doran, Joseph Prebble, Alan Thompson, arXiv:2311.10394 [math.AG] 17 Nov 2023: 24 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
- Calabi-Yau Threefolds Fibred by High Rank Lattice Polarized K3 Surfaces. Charles Doran, Andrew Harder, Andrey Novoseltsev, Alan Thompson. Mathematische Zeitschrift (2020) 294: 783-815
- 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 for Lattice Polarized Del Pezzo Surfaces. Charles Doran, Alan Thompson. Communications in Number Theory and Physics, Volume 12, Number 3 (2018), 543-580
- Zeta Functions of Alternate Mirror Calabi-Yau Families. Charles Doran, Tyler Kelly, Adriana Salerno, Steven Sperber, John Voight, Ursula Whitcher. Israel Journal of Mathematics, October 2018, Volume 228, Issue 2, 665-705
- Hodge Numbers from Picard-Fuchs Equations. Charles Doran, Andrew Harder, Alan Thompson; 2017; SIGMA 13 (2017), 045, 23 pages
- 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)
- 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
- 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
- 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; 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
- 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
- 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
- Automorphic Forms for Triangle Groups. Charles Doran, Terry Gannon, Hossein Movasati, Khosro Shokri; 2013; Communications in Number Theory and Physics, Volume 7 (2013), Number 4, pp. 689-737
- From Polygons to String Theory. Charles Doran, Ursula Whitcher; 2012; Mathematics Magazine, Vol 85, Number 5, December 2012, 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; 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
- 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
- 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
- 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
- A “Periodic Table” for Supersymmetric M-Theory Compactifications. Charles Doran, Michael Faux; 2003; Journal of Mathematical Physics, 44, 2853-2873
- Four-Dimensional N = 1 Super Yang-Mills Theory from an M-Theory Orbifold. Charles Doran, Michael Faux, Burt Ovrut; 2002 ; Advances in Theoretical and Math Phys, 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
- Algebraic and Geometric Isomonodromic Deformations. Charles Doran; 2001; Journal of Differential Geometry, 59, 33-85
- Algebro-geometric Isomonodromic Deformations Linking Hauptmoduls: Variation of the Mirror Map. Charles Doran; 2001; Centre de Recherches Mathematiques: In Proceedings on Moonshine and Related Topics, 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; In the Arithmetic and Geometry of Algebraic Cycles, CRM Proceedings and Lecture Notes, 24, 257-281
- 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