Profile
Profile

Prof. Dr. Emanuele Macrì

Former Hausdorff Postdoc
Former Bonn Junior Fellow
Subsequent position(s): Associate Professor, Northeastern University

E-mail: e.macri(at)neu.edu
Homepage: http://nuweb15.neu.edu/emacri/
Institute: Mathematical Institute

Academic Career

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

Research Profile

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).

Research Projects and Activities

DFG Collaborative Research Centre SFB/TR 45 “Periods, moduli spaces, and arithmetic of algebraic varieties”
Member

NSF grant, 2010 - 2013

Selected Publications

[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
[5] Emanuele Macr\`\i
Stability conditions on curves
Math. Res. Lett. , 14: (4): 657--672
2007
DOI: 10.4310/MRL.2007.v14.n4.a10
[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

Publication List

MathSciNet Publication List (external link)

Selected Invited Lectures

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

Download Profile