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| 2006 | PhD, International School for Advanced Studies (SISSA), Trieste, Italy | | 2006 - 2007 | Postdoc, Max Planck Institute for Mathematics, Bonn | | 2007 - 2008 | Postdoc, Hausdorff Center for Mathematics, University of Bonn | | 2008 - 2010 | Assistant Professor, University of Utah, Salt Lake City, UT, USA | | 2010 - 2011 | Professor (W2, Bonn Junior Fellow), University of Bonn | | 2011 - 2014 | Assistant Professor (tenure-track), Ohio State University, Columbus, OH, USA | | Since 2015 | Associate Professor, Northeastern University, Boston, MA, USA |
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My field of interest is algebraic geometry.
In particular, I work on derived categories of coherent sheaves on algebraic varieties.
In my past research, I studied autoequivalence groups of the derived category (in [1,2,3,4]) and stability conditions in the sense of Bridgeland (in [5,6,7]).
Recently, I am studying three dimensional projective varieties. More precisely, I am working on generalizations of the classical Bogomolov-Gieseker inequality for stable sheaves on surfaces to stable complexes on threefolds, and applications of this to birational geometry.
I am also studying deformations of K3 categories embedded in derived categories of cubic fourfolds together with Martí Lahoz (University of Bonn).
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DFG Collaborative Research Centre SFB/TR 45 “Periods, moduli spaces, and arithmetic of algebraic varieties”
Member
NSF grant, 2010 - 2013
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[ 1] Daniel Huybrechts, Emanuele Macr\`\i, Paolo Stellari
Derived equivalences of K3 surfaces and orientation
Duke Math. J. , 149: (3): 461--507
2009
DOI: 10.1215/00127094-2009-043[ 2] Daniel Huybrechts, Emanuele Macr\`\i, Paolo Stellari
Formal deformations and their categorical general fibre
Comment. Math. Helv. , 86: (1): 41--71
2011
DOI: 10.4171/CMH/217[ 3] Emanuele Macr\`\i, Paolo Stellari
Infinitesimal derived Torelli theorem for K3 surfaces
With an appendix by Sukhendu Mehrotra
Int. Math. Res. Not. IMRN (17): 3190--3220
2009
DOI: 10.1093/imrn/rnp049[ 4] Emanuele Macr\`\i, Paolo Stellari
Automorphisms and autoequivalences of generic analytic K3 surfaces
J. Geom. Phys. , 58: (1): 133--164
2008
DOI: 10.1016/j.geomphys.2007.10.002[ 6] Daniel Huybrechts, Emanuele Macr\`\i, Paolo Stellari
Stability conditions for generic K3 categories
Compos. Math. , 144: (1): 134--162
2008
DOI: 10.1112/S0010437X07003065[ 7] Emanuele Macr\`\i, Sukhendu Mehrotra, Paolo Stellari
Inducing stability conditions
J. Algebraic Geom. , 18: (4): 605--649
2009
DOI: 10.1090/S1056-3911-09-00524-4[ 8] Claudio Bartocci, Emanuele Macr\`\i
Classification of Poisson surfaces
Commun. Contemp. Math. , 7: (1): 89--95
2005
DOI: 10.1142/S0219199705001647[ 9] Emanuele Macr\`\i, Marc Nieper-WiÃ? kirchen, Paolo Stellari
The module structure of Hochschild homology in some examples
C. R. Math. Acad. Sci. Paris , 346: (15-16): 863--866
2008
DOI: 10.1016/j.crma.2008.05.017 |
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| 2005 | “Heterotic Strings, Derived Categories and Stacks”, Oberwolfach Research Institute for Mathematics (MFO), Oberwolfach | | 2006 | “KIAS school on derived categories of coherent sheaves”, Korea Institute for Advanced Study (KIAS), Seoul, South Korea | | 2006 | “Giornate di Geometria Algebrica e Argomenti Correlati VIII”, International School for Advanced Studies (SISSA), Trieste, Italy | | 2006 | “Categorical constructions of primitive forms, II”, Research Institute for Mathematical Sciences (RIMS), Kyoto, Japan | | 2007 | “Stability conditions, derived categories, etc”, Max Planck Institute for Mathematics, Bonn | | 2007 | “Categorical aspects of algebraic geometry in mirror symmetry”, Research Institute for Mathematical Sciences (RIMS), Kyoto, Japan | | 2007 | “Seminario di natale”, University of Milano, Italy | | 2008 | “First CTS conference on vector bundles”, TIFR, Mumbai, India | | 2008 | “Bundles, gerbes, and derived categories in string theory”, University of Salamanca, Spain | | 2009 | “Derived categories and the Langlands programme”, FU Berlin | | 2009 | “BPS state countings, stability structures, and derived algebraic geometry”, University of Hamburg | | 2009 | “WAGS”, University of California, Los Angeles, CA, USA | | 2010 | “School on birational geometry and moduli spaces”, University of Utah, Salt Lake City, UT, USA | | 2010 | “Categorical methods in geometry and gauge theory”, Chern Institute, Tianjin, China | | 2011 | “Derived Categories”, University of Tokyo, Japan |
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