World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4406
World Ranking
2401
National Ranking
145

Overview

Frank Pacard is affiliated with École Polytechnique in France and works at the intersection of Mathematics and Computer Science. Their research spans several subfields including Computational Theory and Mathematics, Applied Mathematics, and Geometry and Topology.

The main topics of their work focus on advanced mathematical modeling in engineering, nonlinear partial differential equations, and analytic and geometric function theory. These areas highlight a blend of theoretical and applied approaches to mathematical problems.

Pacard's recent publication record includes a paper titled Bouncing Jacobi fields and the Allen-Cahn equation on surfaces, published in 2023 at arXiv (Cornell University). This paper is part of a growing portfolio emphasizing mathematical analysis and modeling.

  • Bouncing Jacobi fields and the Allen-Cahn equation on surfaces, 2023, arXiv (Cornell University)

Collaboration plays a notable role in Pacard's research, with frequent co-authors such as Yong Liu and Juncheng Wei contributing to the development of their work.

  • Yong Liu
  • Juncheng Wei

The publication venues for Pacard's work currently include arXiv, where at least one recent paper has appeared. This indicates engagement with preprint dissemination platforms common in mathematical sciences.

  • arXiv (Cornell University)

Best Publications

  • Construction of singular limits for a semilinear elliptic equation in dimension 2

    Sami Baraket;Frank Pacard

  • Refined asymptotics for constant scalar curvature metrics with isolated singularities

    Nick Korevaar;Rafe Mazzeo;Frank Pacard;Richard Schoen

  • Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model

    Frank Pacard;Tristan Rivière

  • From Constant mean Curvature Hypersurfaces to the Gradient Theory of Phase Transitions

    Frank Pacard;Manuel Ritoré

  • Constant mean curvature surfaces with Delaunay ends

    Rafe Mazzeo;Frank Pacard

  • A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis

    Rafe Mazzeo;Frank Pacard

  • Constant scalar curvature metrics with isolated singularities

    Rafe Mazzeo;Frank Pacard

  • Linear and Nonlinear Aspects of Vortices

    Frank Pacard;Tristan Rivière

  • Blowing up and desingularizing constant scalar curvature Kähler manifolds

    Claudio Arezzo;Frank Pacard

  • MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2

    Manuel del Pino;Michał Kowalczyk;Frank Pacard;Juncheng Wei

  • Large energy entire solutions for the yamabe equation

    Manuel del Pino;Monica Musso;Frank Pacard;Frank Pacard;Angela Pistoia

  • Torus action on S^n and sign changing solutions for conformally invariant equations

    Manuel del Pino;Monica Musso;Frank Pacard;Angela Pistoia

  • Connected sums of constant mean curvature surfaces in Euclidean 3 space

    Rafe Mazzeo;Frank Pacard;Daniel Pollack

  • Extremal metrics on blowups

    Claudio Arezzo;Frank Pacard;Michael F. Singer

  • Foliations by constant mean curvature tubes

    Rafe Mazzeo;Frank Pacard

  • Constant mean curvature spheres in Riemannian manifolds

    Frank Pacard;Frank Pacard;X. Xu

  • Extremal metrics on blow ups

    C. Arezzo;F. Pacard;M. Singer

  • On an overdetermined elliptic problem

    Laurent Hauswirth;Frédéric Hélein;Frank Pacard

  • Blowing up Kähler manifolds with constant scalar curvature, II

    Claudio Arezzo;Frank Pacard

  • Analysis of a conservation PDE with discontinuous flux: a model of settler

    J.-Ph. Chancelier;M. Cohen De Lara;F. Pacard

  • Blowing up and desingularizing constant scalar curvature K"{a}hler manifolds

    Claudio Arezzo;Frank Pacard

Frequent Co-Authors

Rafe Mazzeo
Rafe Mazzeo Stanford University
Monica Musso
Monica Musso University of Bath
Manuel del Pino
Manuel del Pino University of Bath
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Harold Rosenberg
Harold Rosenberg Instituto Nacional de Matemática Pura e Aplicada
Mohamed Jleli
Mohamed Jleli King Saud University
Richard Schoen
Richard Schoen University of California, Irvine

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to diverse career pathways, often complemented by advanced business and analytical skills. Many students enhance their mathematical expertise by pursuing an accelerated online MBA programs, which combine quantitative skills with leadership training for faster career advancement.

For those interested in blending math with consumer insights and data analysis, exploring a specialized marketing masters can be a smart move. This degree can open roles in data-driven marketing strategy and market research.

If time and cost are crucial considerations, many students opt for the cheapest 1 year online MBA programs, which offer comprehensive education without extended time commitments. These programs often fit well alongside or after math degrees.

Lastly, flexibility is key in online education, and some students benefit greatly from online MBA programs that accept transfer credits. This allows for smoother transitions and credit recognition, making it easier to tailor education paths to individual goals.

Best Scientists Citing Frank Pacard

Trending Scientists

Recently Published Articles