Daniel Huybrechts
German mathematician
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Mathematics
Daniel Huybrechts's Degrees
- PhD Mathematics University of Bonn
Why Is Daniel Huybrechts Influential?
(Suggest an Edit or Addition)According to Wikipedia, Daniel Huybrechts is a German mathematician, specializing in algebraic geometry. Education and career Huybrechts studied mathematics from 1985 at the Humboldt University of Berlin, where in 1989 he earned his Diplom with Diplom thesis supervisor Herbert Kurke. In 1990–1992 Huybrechts studied at the Max Planck Institute for Mathematics in Bonn, where he earned his PhD in 1992 under Herbert Kurke with thesis Stabile Vektorbündel auf algebraischen Flächen. Tjurins Methode zum Studium der Geometrie der Modulräume. In the academic year 1994–1995 he was at the Institute for Advanced Study and in 1996 at IHES. In 1996 he was a research assistant at the University of Essen, where in 1998 he earned his Habilitation. In 1997–1998 he was at the École normale supérieure. He was a professor in 1998–2002 at the University of Cologne and in 2002–2005 at the École polytechnique and, simultaneously, at the University of Paris VII. Since 2005 he has been a professor at the University of Bonn.
Daniel Huybrechts's Published Works
Published Works
- The geometry of moduli spaces of sheaves (1997) (1820)
- Fourier-Mukai transforms in algebraic geometry (2006) (839)
- Lectures on K3 Surfaces (2016) (343)
- Compact hyperkähler manifolds: basic results (2003) (331)
- Calabi-Yau manifolds and related geometries (2003) (320)
- Compact hyperkähler manifolds: basic results (1997) (169)
- Complex Geometry: An Introduction (2004) (151)
- Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2008) (137)
- The Kähler cone of a compact hyperkähler manifold (2003) (119)
- FRAMED MODULES AND THEIR MODULI (1995) (117)
- Stable pairs on curves and surfaces (1992) (116)
- Equivalences of twisted K3 surfaces (2004) (108)
- Birational symplectic manifolds and their deformations (1996) (102)
- ℙ-objects and autoequivalences of derived categories (2005) (91)
- GENERALIZED CALABI–YAU STRUCTURES, K3 SURFACES, AND B-FIELDS (2003) (83)
- Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June, 2001 (2003) (81)
- Derived equivalences of K3 surfaces and orientation (2007) (74)
- Stability conditions for generic K3 categories (2006) (74)
- Hodge numbers of moduli spaces of stable bundles on K3 surfaces (1994) (67)
- The K3 category of a cubic fourfold (2015) (66)
- The Geometry of Moduli Spaces of Sheaves: Sheaves on Surfaces (2010) (64)
- A global Torelli theorem for hyperkaehler manifolds (after Verbitsky) (2011) (58)
- Derived and abelian equivalence of K3 surfaces (2006) (58)
- Curves and cycles on K3 surfaces (2013) (46)
- Motives of isogenous K3 surfaces (2017) (40)
- The tangent bundle of a Calabi-Yau manifold-deformations and restriction to rational curves (1995) (40)
- The Brauer group of analytic K3 surfaces (2003) (39)
- Finiteness results for compact hyperkähler manifolds (2003) (39)
- On derived categories of K3 surfaces, symplectic automorphisms and the Conway group (2013) (38)
- Moduli Spaces of Hyperkähler Manifolds and Mirror Symmetry (2002) (34)
- Fourier Mukai Transforms for . . . (2005) (33)
- EQUIVALENCES OF TWISTED K 3 SURFACES (2005) (33)
- Chow groups of K3 surfaces and spherical objects (2008) (31)
- Remarks on derived equivalences of Ricci-flat manifolds (2008) (31)
- MODULI SPACES OF TWISTED SHEAVES ON A PROJECTIVE VARIETY (2006) (30)
- Stable maps and Chow groups (2012) (26)
- Motives of derived equivalent K3 surfaces (2017) (25)
- Hochschild cohomology versus the Jacobian ring and the Torelli theorem for cubic fourfolds (2016) (23)
- The global Torelli theorem: classical, derived, twisted (2006) (23)
- Symplectic automorphisms of K3 surfaces of arbitrary order (2012) (23)
- Moduli Spaces: Introduction to stability conditions (2011) (20)
- Finiteness results for hyperkaehler manifolds (2001) (18)
- Proof of Caldararu's conjecture (2007) (18)
- Moduli spaces of hyperkaehler manifolds and mirror symmetry (2002) (18)
- Erratum to the paper: Compact hyperkaehler manifolds: basic results (2001) (17)
- Chow groups and derived categories of K3 surfaces (2009) (16)
- Symplectic automorphisms of K3 surfaces of arbitrary finite order (2012) (16)
- The Kaehler cone of a compact hyperkaehler manifold (1999) (15)
- The Geometry of Moduli Spaces of Sheaves: Preface to the first edition (2010) (14)
- Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories (2018) (14)
- Products of harmonic forms and rational curves (2000) (12)
- On derived categories of K3 surfaces and Mathieu groups (2013) (12)
- Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka (2004) (11)
- Stability conditions via spherical objects (2010) (10)
- Appendix: Proof of Căldăraru's conjecture (2006) (10)
- Formal deformations and their categorical general fibre (2008) (10)
- Erratum to: Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2014) (5)
- A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects (2010) (5)
- Hyperkahler manifolds and sheaves (2011) (5)
- Finiteness of polarized K3 surfaces and hyperk\"ahler manifolds (2018) (5)
- The Geometry of Moduli Spaces of Sheaves: Moduli Spaces (2010) (4)
- Complete curves in moduli spaces of stable bundles on surfaces (1994) (4)
- Lagrangian Fibrations (2021) (3)
- Maximal variation of curves on K3 surfaces (2021) (3)
- COMPLEX AND REAL MULTIPLICATION FOR K3 SURFACES (2009) (3)
- Projectivity of Kähler manifolds – Kodaira’s problem (2006) (3)
- Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether-Lefschetz loci. (2020) (2)
- The K3 category of a cubic fourfold -- an update (2023) (2)
- LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS (2019) (2)
- GV -SUBSCHEMES AND THEIR EMBEDDINGS IN PRINCIPALLY POLARIZED ABELIAN VARIETIES (2015) (2)
- On type II degenerations of hyperk\"ahler manifolds (2021) (2)
- Moduli Spaces of Sheaves on K3 Surfaces (2016) (2)
- Complex Multiplication in Twistor Spaces (2019) (2)
- Infinitesimal Variation of Harmonic Forms and Lefschetz Decomposition (2001) (2)
- The Geometry of Moduli Spaces of Sheaves: Line Bundles on the Moduli Space (2010) (1)
- STABILITY STRUCTURES ON LIE ALGEBRAS, AFTER KONTSEVICH AND SOIBELMAN (2009) (1)
- Mirror symmetry and stability conditions on K 3 surfaces (2011) (1)
- Projectivity of Kaehler manifolds - Kodaira's problem (after C. Voisin) (2005) (1)
- Computing Riemann-Roch polynomials and classifying hyper-K\"ahler fourfolds (2022) (1)
- Galois Theory , Monodromy Groups and Flexes of Plane Cubic Curves (2012) (0)
- Erratum to: Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2014) (0)
- Topics in Hyper-Kähler Geometry (2022) (0)
- Kuga–Satake Construction (2016) (0)
- Rational Curves on K3 Surfaces (2016) (0)
- Chow Ring and Grothendieck Group (2016) (0)
- Semisimple Quantum Cohomology , deformations of stability conditions and the derived category (2006) (0)
- Stability conditions via spherical objects (2011) (0)
- Effectivity of Semi-positive Line Bundles (2022) (0)
- Hodge classes on self-products of K 3 surfaces (2009) (0)
- Nodal quintic surfaces and lines on cubic fourfolds (2021) (0)
- EQUIVALENCES OF TWIStlrED K3 SURFACES (2020) (0)
- Surjectivity of the Period Map and Global Torelli (2016) (0)
- The Geometry of Moduli Spaces of Sheaves: Irreducibility and Smoothness (2010) (0)
- Corrigendum: Finiteness of polarized K3 surfaces and hyperkähler manifolds (2020) (0)
- Moduli Spaces of Polarized K3 Surfaces (2016) (0)
- Chow groups and stable maps (2012) (0)
- The Geometry of Moduli Spaces of Sheaves: The Grauert-Mülich Theorem (2010) (0)
- Vector Bundles on K3 Surfaces (2016) (0)
- The Geometry of Moduli Spaces of Sheaves: Moduli Spaces on K3 Surfaces (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: Restriction of Sheaves to Curves (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: Families of Sheaves (2010) (0)
- Characteristic foliations (2022) (0)
- The Geometry of Moduli Spaces of Sheaves: Introduction (2010) (0)
- Glossary of Notations (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: Preliminaries (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: References (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: Construction Methods (2010) (0)
- The Geometry of Moduli Spaces of Sheaves: Birational properties (2010) (0)
- The geometry of algebraic varieties: special issue in honour of Olivier Debarre (2022) (0)
- Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects (2021) (0)
- 0 Products of harmonic forms and rational curves (2008) (0)
- REMARKS ON DERIVED EQUIVALENCES OF (2013) (0)
- Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces (2018) (0)
- Seshadri Constants on Algebraic Surfaces (2013) (0)
- Hodge Structures (0)
- Motives of derived equivalent K3 surfaces (2017) (0)
- Arithmetic structures on noncommutative tori with real multiplication (2007) (0)
- Elliptic K3 Surfaces (2016) (0)
- Chow groups of surfaces of lines in cubic fourfolds (2022) (0)
- Complex Multiplication , Rationality and Mirror Symmetry for Abelian Varieties and K 3 Surfaces (2007) (0)
- Ample Cone and Kähler Cone (2016) (0)
- Teichmüller curves in the Deligne-Mumford compactification (2008) (0)
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