Lothar Göttsche

Permanent Scientific Staff
Senior Research Scientist
Lothar Göttsche
Mathematics
+39 040 2240 4297
gottsche@ictp.it
+39 040 2240 4297
gottsche@ictp.it
LB-110A
0000-0001-5088-7904

Lothar Göttsche

Field of research: Algebraic Geometry, moduli spaces and enumerative geometry
1989 Diplom in Mathematics Universität Bonn, advisors F. Hirzebruch, A. Sommese
1992 PhD Mathematics Universität Bonn, advisor F.~Hirzebruch
1997 Habilitation Universität Bonn

1992-97 Postdoctoral Positions at Trento, Max-Planck-Institut für Mathematik Bonn, University of Pisa, Mittag-Leffler Institut, Stockholm
Since 1997 at ICTP Trieste: 1997-1998 Tenure track scientist, 1999-2001 Assistant research scientist,
2002-2011 Research scientist at ICTP, 2011-now Senior Research scientist
Longer term visiting positions at: Stanford University, University of Chicago, Universite Paris Sud, MSRI Berkeley,
Institute Mittag-Leffler (Stockholm), Newton Institute (Cambridge), Institute Henri Poincare (Paris), IMPA (Rio de Janeiro), Max-Plank-Institut für Mathematik Bonn, Institute for Advanced Studies (Princeton), University of British Columbia (Vancouver)

1998 Whittemore lectures at Yale University
2002 Invited speaker International Congress of Mathematicians, Beijing
2011 Hirzebruch Research Chair at Max-Planck-Institut für Mathematik, Bonn
2012 Fellow of the American Mathematical Society

Publications

Journal article
2022
Virtual Segre and Verlinde numbers of projective surfaces
Journal of the London Mathematical Society (2022)
Göttsche, L. | Kool, M.
Journal article
2021
Verlinde formulae on complex surfaces: K-theoretic invariants
Forum of Mathematics, Sigma (2021)
Göttsche, L. | Kool, M. | Williams, R.A.
Journal article
2020
Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces,Formules de Verlinde raffinées pour les schémas de Hilbert de points et espaces de modules sur les surfaces K3
Epijournal de Geometrie Algebrique (2020)
Göttsche, L.
Journal article
2020
Verlinde-type formulas for rational surfaces
Journal of the European Mathematical Society (2020)
Göttsche, L.
Journal article
2020
Virtual Refinements of the Vafa–Witten Formula
Communications in Mathematical Physics (2020)
Göttsche, L. | Kool, M.
Journal article
2019
Refined broccoli invariants
Journal of Algebraic Geometry (2019)
Göttsche, L. | Schroeter, F.
Journal article
2019
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
Communications in Number Theory and Physics (2019)
Göttsche, L. | Kool, M.
Journal article
2019
Generating functions for k-theoretic Donaldson invariants and le Potier's strange duality
Journal of Algebraic Geometry (2019)
Göttsche, L. | Yuan, Y.
Journal article
2018
Refined SU(3) Vafa-Witten invariants and modularity
Pure and Applied Mathematics Quarterly (2018)
Göttsche, L. | Kool, M.
Journal article
2016
Fock spaces and refined severi degrees
International Mathematics Research Notices (2016)
Block, F. | Göttsche, L.
Journal article
2016
Refined curve counting with tropical geometry
Compositio Mathematica (2016)
Block, F. | Göttsche, L.
Journal article
2016
Refined node polynomials via long edge graphs
Communications in Number Theory and Physics (2016)
Göttsche, L. | Kikwai, B.
Journal article
2015
The Χ<sub>-y</sub>-genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces
Algebraic Geometry (2015)
Göttsche, L. | Shende, V.
Journal article
2014
Refined curve counting on complex surfaces
Geometry and Topology (2014)
Göttsche, L. | Shende, V.
Journal article
2011
Donaldson = seiberg-witten from mochizuki's formula and instanton counting
Publications of the Research Institute for Mathematical Sciences (2011)
Göttsche, L. | Nakajima, H. | Yoshioka, K.
Journal article
2010
Riemann-Roch theorems and elliptic genus for virtually smooth schemes
Geometry and Topology (2010)
Fantechi, B. | Göttsche, L.
Journal article
2009
Invariants of Moduli spaces and modular forms
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste (2009)
Göttsche, L.
Journal article
2009
K-theoretic Donaldson invariants via instanton counting
Pure and Applied Mathematics Quarterly (2009)
Göttsche, L. | Nakajima, H. | Yoshioka, K.
Journal article
2008
Instanton counting and donaldson invariants
Journal of Differential Geometry (2008)
Göttsche, L. | Nakajima, H. | Yoshioka, K.
Journal article
2003
Orbifold cohomology for global quotients
Duke Mathematical Journal (2003)
Fantechi, B. | Göttsche, L.
Journal article
2001
On the cobordism class of the Hilbert scheme of a surface
Journal of Algebraic Geometry (2001)
Ellingsrud, G. | Göttsche, L. | Lehn, M.
Journal article
2001
On the motive of the hilbert scheme of points on a surface
Mathematical Research Letters (2001)
Göttsche, L.
Journal article
1999
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
Communications in Mathematical Physics (1999)
Göttsche, L.
Journal article
1999
Euler number of the compactified Jacobian and multiplicity of rational curves
Journal of Algebraic Geometry (1999)
Fantechi, B. | Göttsche, L. | Van Straten, D.
Journal article
1998
A conjectural generating function for numbers of curves on surfaces
Communications in Mathematical Physics (1998)
Götische, L.
Journal article
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b<sub>+</sub> = 1
Selecta Mathematica, New Series (1998)
Götische, L. | Zagier, D.
Journal article
1998
The quantum cohomology of blow-ups of ℙ<sup>2</sup> and enumerative geometry
Journal of Differential Geometry (1998)
Göttsche, L. | Pandharipande, R.
Journal article
1998
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces
Quarterly Journal of Mathematics (1998)
Ellingsrud, G. | Göttsche, L.
Journal article
1996
Hodge numbers of moduli spaces of stable bundles on K3 surfaces
International Journal of Mathematics (1996)
Göttsche, L. | Huybrechts, D.
Journal article
1996
Modular forms and Donaldson invariants for 4-manifolds with b<sub>+</sub> = 1
Journal of the American Mathematical Society (1996)
Göttsche, L.

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