Lothar Göttsche

Permanent Scientific Staff

Research Scientist

Mathematics

+39 040 2240 4297

gottsche@ictp.it

+39 040 2240 4297

gottsche@ictp.it

LB-110A

0000-0001-5088-7904

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

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

2019

Refined broccoli invariants

Journal of Algebraic Geometry (2019)

Göttsche, L. | Schroeter, F.

Journal article

2018

Refined SU(3) Vafa-Witten invariants and modularity

Pure and Applied Mathematics Quarterly (2018)

Göttsche, L. | Kool, M.

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

2016

Fock spaces and refined severi degrees

International Mathematics Research Notices (2016)

Block, F. | Göttsche, L.

Journal article

2015

The Χ-y-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 motive of the hilbert scheme of points on a surface

Mathematical Research Letters (2001)

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

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

1999

Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces

Communications in Mathematical Physics (1999)

Göttsche, L.

Journal article

1998

The quantum cohomology of blow-ups of ℙ2 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

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+ = 1

Selecta Mathematica, New Series (1998)

Götische, L. | Zagier, D.

Journal article

1996

Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces

Mathematische Zeitschrift (1996)

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.