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D-Index & Metrics

Mathematics

D-Index
45
Citations
7449
World Ranking
1489
National Ranking
105

Overview

Mark Gross is a researcher affiliated with the University of Cambridge in the United Kingdom, specializing in Mathematics. Their work primarily focuses on Geometry and Topology, as well as related subfields such as Mathematical Physics, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The research topics covered by Mark Gross include Algebraic Geometry and Number Theory, Geometry and Complex Manifolds, Polynomial and Algebraic Computation, Advanced Algebra and Geometry, Algebraic Structures and Combinatorial Models, Nonlinear Waves and Solitons, and Homotopy and Cohomology in Algebraic Topology.

Gross has contributed articles to several academic venues, with frequent publications in:

  • arXiv (Cornell University)
  • Memoirs of the American Mathematical Society
  • Compositio Mathematica
  • Inventiones mathematicae
  • Geometry & Topology

Recent papers by Mark Gross include:

  • Theta functions on varieties with effective anti-canonical class, 2022, Memoirs of the American Mathematical Society
  • The canonical wall structure and intrinsic mirror symmetry, 2022, Inventiones mathematicae

Their coauthors with multiple collaborations include:

  • Bernd Siebert
  • Dan Abramovich
  • Qile Chen
  • Paul Hacking
  • Hülya Argüz

Mark Gross also has a book publication titled Punctured Logarithmic Maps, expected in 2025 and published by Memoirs of the European Mathematical Society.

Best Publications

  • Canonical bases for cluster algebras

    Mark William Gross;Paul Hacking;Sean Keel;Maxim Kontsevich

  • Large Complex Structure Limits of K3 Surfaces

    Mark Gross;P. M. H. Wilson

  • Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001

    Mark Gross;Daniel Huybrechts;Dominic D. Joyce

  • From real affine geometry to complex geometry

    Mark Gross;Bernd Siebert

  • Calabi-Yau Manifolds and Related Geometries

    Mark Gross;Dominic Joyce;Daniel Huybrechts;Geir Ellingsrud

  • Mirror symmetry for log Calabi-Yau surfaces I

    Mark Gross;Paul Hacking;Sean Keel

  • Logarithmic Gromov-Witten invariants

    Mark Gross;Bernd Siebert

  • Mirror Symmetry via Logarithmic Degeneration Data I

    Mark Gross;Bernd Siebert

  • The tropical vertex

    Mark Gross;Rahul Pandharipande;Bernd Siebert

  • The SO(32) heterotic string on a K3 surface

    Paul S. Aspinwall;Mark Gross

  • Birational Geometry of Cluster Algebras

    Mark Gross;Paul Hacking;Sean Keel

  • Dirichlet Branes and Mirror Symmetry

    Paul Aspinwall;Tom Bridgeland;Alastair Craw;Michael Douglas

  • Topological mirror symmetry

    Mark Gross

  • Tropical Geometry And Mirror Symmetry

    Mark Gross

  • Calabi–Yau Threefolds and Moduli of Abelian Surfaces I

    Mark Gross;Sorin Popescu;Sorin Popescu

  • Mirror symmetry via logarithmic degeneration data, II

    Mark Gross;Bernd Siebert

  • A finiteness theorem for elliptic Calabi-Yau threefolds

    Mark Gross

  • Mirror symmetry for P^2 and tropical geometry

    Mark Gross

  • Collapsing of abelian fibered Calabi–Yau manifolds

    Mark Gross;Valentino Tosatti;Yuguang Zhang

  • Affine Manifolds, Log Structures, and Mirror Symmetry

    Mark Gross

  • Ground-state properties of the two-dimensional antiferromagnetic Heisenberg model.

    Mark Gross;Eduardo Sánchez-Velasco;Eric Siggia

Frequent Co-Authors

Valentino Tosatti
Valentino Tosatti Courant Institute of Mathematical Sciences
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Dominic Joyce
Dominic Joyce University of Oxford
Gregory W. Moore
Gregory W. Moore Rutgers, The State University of New Jersey
Dan Abramovich
Dan Abramovich Brown University
Graeme B. Segal
Graeme B. Segal University of Oxford

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