World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
4256
World Ranking
2553
National Ranking
1057

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to real algebraic and analytic geometry, and the theory of singularities, and for contributions to geophysics.

Overview

Andrei Gabrielov is affiliated with Purdue University West Lafayette in the United States and has focused their academic research primarily in the field of Mathematics. Their work spans several subfields including Geometry and Topology, Mathematical Physics, Applied Mathematics, Discrete Mathematics and Combinatorics, and Computational Mechanics.

Gabrielov has contributed substantially to the study of Algebraic Geometry and Number Theory, Geometric and Algebraic Topology, Homotopy and Cohomology in Algebraic Topology, Mathematical Dynamics and Fractals, Mathematics and Applications, Algebraic and Geometric Analysis, and Meromorphic and Entire Functions.

Their publication record includes papers in several venues, reflecting the scope and diversity of their research interests. Notable publication venues with multiple appearances include:

  • arXiv (Cornell University)
  • Selecta Mathematica
  • European Journal of Mathematics
  • Communications in Contemporary Mathematics
  • Zurnal matematiceskoj fiziki analiza geometrii

Some recent papers authored or coauthored by Gabrielov illustrate ongoing investigations in geometry and topology:

  • "Moduli spaces for Lamé functions and Abelian differentials of the second kind," 2021, published in Communications in Contemporary Mathematics
  • "Lipschitz geometry of pairs of normally embedded Hölder triangles," 2022, European Journal of Mathematics
  • "The space of Schwarz-Klein spherical triangles," 2020, Zurnal matematiceskoj fiziki analiza geometrii
  • "Moduli spaces for Lamé functions and Abelian integrals of the second kind," 2020, arXiv (Cornell University)
  • "Lipschitz geometry of surface germs in ℝ⁴: metric knots," 2023, Selecta Mathematica

Gabrielov's research collaborations include frequent coauthors such as Lev Birbrair, Alexandre Erëmenko, Gabriele Mondello, Dmitri Panov, and Michael Brandenbursky.

In recognition of their scientific contributions, Gabrielov was named a Fellow of the American Mathematical Society in 2016 for work related to real algebraic and analytic geometry, the theory of singularities, and contributions to geophysics.

Best Publications

  • Clustering Analysis of Seismicity and Aftershock Identification

    Ilya Zaliapin;Andrei Gabrielov;Vladimir Keilis-Borok;Henry Wong

  • Projections of semi-analytic sets

    A. M. Gabriélov

  • log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation.

    William I. Newman;Donald L. Turcotte;Andrei M. Gabrielov

  • Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry

    Alexandre Eremenko;Andrei Gabrielov

  • Intersection matrices for certain singularities

    A. M. Gabriélov

  • Colliding cascades model for earthquake prediction

    Andrei Gabrielov;Ilya Zaliapin;William I. Newman;Vladimir I. Keilis-borok

  • Abelian avalanches and Tutte polynomials

    Andrei Gabrielov;Andrei Gabrielov

  • FORMAL RELATIONS BETWEEN ANALYTIC FUNCTIONS

    A M Gabrièlov

  • An exact renormalization model for earthquakes and material failure: statics and dynamics

    William I. Newman;William I. Newman;Andrei M. Gabrielov;Andrei M. Gabrielov;Thomas A. Durand;S. Leigh Phoenix

  • Complexity of computations with Pfaffian and Noetherian functions

    N Vorobjov;A Gabrielov

  • Complements of subanalytic sets and existential formulas for analytic functions

    Andrei Gabrielov

  • Pole Placement by Static Output Feedback for Generic Linear Systems

    A. Eremenko;A. Gabrielov

  • Failure of hierarchical distributions of fibre bundles. I

    William I. Newman;William I. Newman;Andrei M. Gabrielov

  • Combinatorial computation of characteristic classes

    A. M. Gabriélov;I. M. Gel'fand;M. V. Losik

  • Dynkin diagrams for unimodal singularities

    A. M. Gabriélov

  • Geometric incompatibility in a fault system

    Andrei Gabrielov;Vladimir Keilis-Borok;David D. Jackson

  • Exactly soluble hierarchical clustering model: inverse cascades, self-similarity, and scaling.

    A. Gabrielov;W. I. Newman;D. L. Turcotte

  • Formal relations between analytic functions

    A. M. Gabriélov

  • Critical transitions in colliding cascades

    A. Gabrielov;V. Keilis-Borok;V. Keilis-Borok;I. Zaliapin;W. I. Newman

  • Bifurcations, Dynkin diagrams, and modality of isolated singularities

    A. M. Gabriélov

Frequent Co-Authors

Vladimir Keilis-Borok
Vladimir Keilis-Borok University of California, Los Angeles
Donald L. Turcotte
Donald L. Turcotte University of California, Davis
Vitaly Tarasov
Vitaly Tarasov Indiana University – Purdue University Indianapolis
David D. Jackson
David D. Jackson University of California, Los Angeles
Leon Knopoff
Leon Knopoff University of California, Los Angeles

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