Lothar Göttsche
#23,920
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German mathematician
Lothar Göttsche's AcademicInfluence.com Rankings
Lothar Göttschemathematics Degrees
Mathematics
#1179
World Rank
#1975
Historical Rank
Measure Theory
#4646
World Rank
#5441
Historical Rank
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Mathematics
Lothar Göttsche's Degrees
- PhD Mathematics University of Bonn
Why Is Lothar Göttsche Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lothar Göttsche is a German mathematician, known for his work in algebraic geometry. He is a research scientist at the International Centre for Theoretical Physics in Trieste, Italy. He is also editor for Geometry & Topology.
Lothar Göttsche's Published Works
Published Works
- The Betti numbers of the Hilbert scheme of points on a smooth projective surface (1990) (391)
- Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces (1993) (213)
- A Conjectural Generating Function for Numbers of Curves on Surfaces (1997) (141)
- Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties (1994) (135)
- Grothendieck’s existence theorem in formal geometry (2006) (94)
- Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b+ = 1 (1996) (85)
- Theta Functions and Hodge Numbers of Moduli Spaces of Sheaves on Rational Surfaces (1998) (85)
- Refined curve counting with tropical geometry (2014) (66)
- Modular forms and Donaldson invariants for 4-manifolds with ₊=1 (1996) (51)
- The quantum cohomology of blow-ups of ${\bf P}\sp 2$ and enumerative geometry (1998) (47)
- Virtual Refinements of the Vafa–Witten Formula (2017) (41)
- Hilbert Schemes of Points on Surfaces (2002) (39)
- The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety. (1993) (19)
- Betti numbers for the hilbert function strata of the punctual hilbert scheme in two variables (1990) (19)
- Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces (1996) (17)
- Refined SU(3) Vafa-Witten invariants and modularity (2019) (16)
- Orbifold-Hodge numbers of Hilbert schemes (1996) (16)
- Virtual Segre and Verlinde numbers of projective surfaces (2020) (14)
- Verlinde formulae on complex surfaces: K-theoretic invariants (2019) (12)
- School on vanishing theorems and effective results in algebraic geometry : 25 April-12 May 2000 (2001) (11)
- Modular forms and Donaldson invariants for 4-manifolds with $b_+=1$ (1995) (9)
- Rationality of moduli spaces of torsion free sheaves over rational surfaces (1996) (5)
- Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces (1996) (5)
- Variation of moduli spaces and Donaldson invariants under change of polarization. (1995) (3)
- Elementary deformation theory (2006) (3)
- Hilbert schemes of points (2006) (3)
- BRILL-NOETHER PROBLEMS, ULRICH BUNDLES AND THE COHOMOLOGY OF MODULI SPACES OF SHEAVES (2019) (2)
- Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces (2019) (2)
- School and conference on intersection theory and moduli, 9-27 September 2002 (2004) (1)
- Verlinde-type formulas for rational surfaces (2016) (1)
- School on algebraic geometry : 26 July - 13 August 1999 (2000) (0)
- Topology of high-dimensional manifolds : 21 May - 8 June 2001 (2002) (0)
- BLOWUP FORMULAS FOR SEGRE AND VERLINDE NUMBERS OF SURFACES AND HIGHER RANK DONALDSON INVARIANTS (2021) (0)
- Virtual Refinements of the Vafa–Witten Formula (2020) (0)
- THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS INSTANTON COUNTING AND DONALDSON INVARIANTS (2006) (0)
- Math 629 : Topics in Algebraic Geometry – Algebraic Stacks – Spring 1999 (2003) (0)
- The varieties of second and higher order data (1994) (0)
- School on automorphic forms on GL(n), 31 July - 18 August 2000 (2008) (0)
- Computation of the Betti numbers of Hilbert schemes (1994) (0)
- Chapter on Intersection Theory – Excerpted from the Book in Preparation, Introduction To (2003) (0)
- The Chow ring of relative Hilbert schemes of projective bundles (1994) (0)
- To Friedrich Hirzebruch on the occasion of his eightieth birthday (2006) (0)
- K-THEORETIC DONALDSON INVARIANTS VIA INSTANTON COUNTING To Friedrich Hirzebruch on the occasion of his eightieth birthday (2007) (0)
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