Math Department Faculty
Dylan Thurston
Professor
Selected publications and preprints
- with Akshay Venkatesh, Functoriality, Smith theory, and the Brauer homomorphism , Annals of Math., to appear.
- with Robert Lipshitz, Noncommutative Hodge-to-de Rham spectral se- quence and the Heegard Floer homology of double covers, J. European Math. Soc., to appear.
- Morse theory and toric vector bundles, Trans. AMS, to appear.
- with Nicol`o Sibilla and Eric Zaslow, Ribbon graphs and mirror symmetry , Selecta Math., 2014.
- With Helge Ruddat, Nicol`o Sibilla, and Eric Zaslow, Skeleta of affine hypersurfaces, Geometry and Topology, 2014
- with Bohan Fang, Chiu-Chu Melissa Liu, and Eric Zaslow, The coherent- constructible correspondence for toric Deligne-Mumford stacks, IMRN 2012.
- with Bohan Fang, Chiu-Chu Melissa Liu, and Eric Zaslow, T-duality and homological mirror symmetry for toric varieties Advances in Math, 229 2012.
- with Pramod Achar, Purity and decomposition theorems for staggered sheaves, J. Inst. Math. Jussieu, 11 2012.
- with Bohan Fang, Chiu-Chu Melissa Liu, and Eric Zaslow, A categori- fication of Morelli’s theorem, Inventiones Math. 186 2011
- with Bohan Fang, Chiu-Chu Melissa Liu, and Eric Zaslow, The coherent-constructible correspondence and Fourier-Mukai transforms, Acta Math Sinica 27 2011
- with Pramod Achar, Baric structures on triangulated categories and coherent sheaves, IMRN 2011
- with Bohan Fang, Chiu-Chu Melissa Liu, and Eric Zaslow, The coherent-constructible correspondence and homological mirror symmetry for toric varieties , Geometry and Analysis Vol. 2, Adv. Lect. Math (ALM) 18 , Higher Education Press, 2010
- Staggered t-structures on toric varieties J. Algebra 323 2010
- Stacks similar to the stack of perverse sheaves, Trans. Amer. Math. Soc. 362 2010
- A topological approach to induction theorems in Springer theory, Represent. Theory 13 2009 2
- Exit paths and constructible stacks, Compositio Math. 145 2009 Submitted available on arxiv.org
- Representations of finite groups on modules over K-theory, 2015
- with Vivek Shende and Eric Zaslow, Legendrian knots and constructible sheaves, 2014
- Smith theory and geometric Hecke algebras, 2011