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Mathematics

D-Index
44
Citations
8398
World Ranking
1581
National Ranking
682

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Michael Loss is affiliated with the Georgia Institute of Technology in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions in several specialized subfields.

The main subfields of study for this scientist include:

  • Mathematical Physics
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Computational Theory and Mathematics

The core research topics addressed in their work are:

  • Spectral Theory in Mathematical Physics
  • Advanced Thermodynamics and Statistical Mechanics
  • Advanced Mathematical Physics Problems
  • Numerical methods in inverse problems
  • Quantum Mechanics and Non-Hermitian Physics
  • Matrix Theory and Algorithms
  • Mathematical Inequalities and Applications

Michael Loss has published extensively in several venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Cambridge Journal of Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • International Mathematics Research Notices

Notable recent papers by this scientist are:

  • "Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence," 2025, Cambridge Journal of Mathematics
  • "Which magnetic fields support a zero mode?", 2022, Journal für die reine und angewandte Mathematik (Crelles Journal)
  • "On the Convolution Inequality f ≥ f ⋆ f", 2020, International Mathematics Research Notices
  • "Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence," 2022, arXiv (Cornell University)
  • "A sharp criterion for zero modes of the Dirac equation," 2024, Journal of the European Mathematical Society

The research collaborations of Michael Loss include frequent coauthors such as:

  • Rupert L. Frank
  • Eric A. Carlen
  • Jean Dolbeault
  • Maria J. Esteban

Michael Loss was awarded the distinction of Fellow of the American Mathematical Society in 2013.

Best Publications

  • Analysis, Second edition

    Elliott Lieb;Michael Loss

  • Ground states in non-relativistic quantum electrodynamics

    Marcel Griesemer;Elliott H. Lieb;Michael Loss

  • Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn

    Eric Carlen;M. Loss

  • Stability of Coulomb Systems with Magnetic Fields

    Jiirg Frohlich;Elliott H. Lieb;Michael Loss

  • Stability of Coulomb systems with magnetic fields. I. The one-electron atom

    Jürg Fröhlich;Elliott H. Lieb;Michael Loss

  • A Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities

    Eric Carlen;Elliott Lieb;Michael Loss

  • Extremals of functionals with competing symmetries

    Eric A Carlen;Michael Loss

  • Stability of Coulomb systems with magnetic fields. III: Zero energy bound states of the Pauli operator

    Michael Loss;Horng-Tzer Yau

  • Sharp constant in Nash's inequality

    Eric A. Carlen;Michael Loss

  • Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics

    Elliott H. Lieb;Michael Loss

  • Determination of the spectral gap for Kac's master equation and related stochastic evolution

    Eric Carlen;M. C. Carvalho;M. Loss

  • Entropy and chaos in the Kac model

    Eric A. Carlen;Maria C. Carvalho;Jonathan Le Roux;Michael Loss

  • The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

    Rafael D. Benguria;Rupert L. Frank;Michael Loss

  • Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the $2$-D Navier-Stokes equation

    Eric A. Carlen;Michael Loss

  • Fluxes, Laplacians, and Kasteleyn’s theorem

    Elliott H. Lieb;Michael Loss

  • There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory

    Volker Bach;Elliott H. Lieb;Michael Loss;Jan Philip Solovej

  • Stability of matter in magnetic fields.

    Elliott H. Lieb;Michael Loss;Jan Philip Solovej

  • Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

    Jean Dolbeault;Maria J. Esteban;Michael Loss

  • Hardy inequalities for fractional integrals on general domains

    Michael Loss;Craig Sloane

  • Stability of Coulomb Systems with Magnetic Fields II. The Many-Electron Atom and the One-Electron Molecule

    Elliott H. Lieb;Michael Loss

  • Ground States in Non-relativistic Quantum Electrodynamics

    Marcel Griesemer;Elliott H. Lieb;Michael Loss

  • Entropy and chaos in the Kac model

    E. A. Carlen;M. C. Carvalho;J. Le Roux;M. Loss

Frequent Co-Authors

Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Elliott H. Lieb
Elliott H. Lieb Princeton University
Evans M. Harrell
Evans M. Harrell Georgia Institute of Technology
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Pavel Exner
Pavel Exner Czech Technical University in Prague
Herbert Spohn
Herbert Spohn Technical University of Munich
Patricio Felmer
Patricio Felmer University of Chile

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