World's Best Scientists 2026 revealed!

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Mathematics

D-Index
51
Citations
13114
World Ranking
1006
National Ranking
464

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Steven G. Krantz is affiliated with Washington University in St. Louis in the United States. Their research spans several interconnected fields primarily within mathematics, with a strong emphasis on applied mathematics, modeling and simulation, and geometry and topology.

The scientist's work addresses a mix of theoretical and applied problems. Key topics in their research include:

  • Holomorphic and Operator Theory
  • Algebraic and Geometric Analysis
  • COVID-19 epidemiological studies
  • Analytic and geometric function theory
  • Meromorphic and Entire Functions
  • COVID-19 and healthcare impacts
  • Mathematical Analysis and Transform Methods

Frequent co-authors include:

  • Arni S. R. Srinivasa Rao
  • Marco M. Peloso
  • Caterina Stoppato
  • David A. Swanson
  • Thomas Kurien

Steven G. Krantz has published extensively in various venues, with notable recurring publication platforms being:

  • bioRxiv (Cold Spring Harbor Laboratory)
  • Journal of Geometric Analysis
  • arXiv (Cornell University)
  • Infection Control and Hospital Epidemiology
  • Journal of Theoretical Biology

Significant recent papers authored or co-authored by Steven G. Krantz include:

  • "Level of underreporting including underdiagnosis before the first peak of COVID-19 in various countries: Preliminary retrospective results based on wavelets and deterministic modeling," 2020, Infection Control and Hospital Epidemiology
  • "True epidemic growth construction through harmonic analysis," 2020, Journal of Theoretical Biology

Their research contributions encompass epidemiological models related to COVID-19, employing mathematical tools to analyze disease spread, as well as foundational mathematical analysis in complex function theory.

In recognition of their professional standing within the mathematical community, Steven G. Krantz was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Function theory of several complex variables

    Steven G. Krantz

  • A Primer of Real Analytic Functions

    Steven G. Krantz;Harold R. Parks

  • The Implicit Function Theorem

    Steven George Krantz;Harold R. Parks

  • Handbook of Complex Variables

    Steven G. Krantz

  • Function Theory of One Complex Variable

    Robert Everist Greene;Steven G. Krantz

  • Geometric Integration Theory

    Steven G. Krantz;Harold R. Parks

  • How to Teach Mathematics

    Steven G. Krantz

  • Complex Analysis : The Geometric Viewpoint

    Steven G. Krantz

  • Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary

    Daniel M. Burns;Steven G. Krantz;Steven G. Krantz

  • The geometry of domains in space

    Steven G. Krantz;Harold R. Parks

  • Geometric Function Theory: Explorations in Complex Analysis

    Steven G. Krantz

  • Hp Theory on a Smooth Domain in RN and Elliptic Boundary Value Problems

    Der-Chen Chang;S. G. Krantz;E. M. Stein

  • Distance to Ck hypersurfaces

    Steven G Krantz;Steven G Krantz;Harold R Parks;Harold R Parks

  • Real Analysis and Foundations

    Steven G. Krantz

  • A Panorama of Harmonic Analysis

    Steven G. Krantz

  • Boundedness and Compactness of Integral Operators on Spaces of Homogeneous Type and Applications, II

    Steven G Krantz;Song-Ying Li

  • Deformation of complex structures, estimates for the ∂ equation, and stability of the Bergman kernel

    Robert E Greene;Steven G Krantz

  • Geometric Function Theory

    Steven G. Krantz

  • Level of underreporting including underdiagnosis before the first peak of COVID-19 in various countries: Preliminary retrospective results based on wavelets and deterministic modeling.

    Steven G. Krantz;Arni S.R.Srinivasa Rao

  • Partial differential equations and complex analysis

    Steven G. Krantz;Estela A. Gavosto;Marco M. Peloso

  • Review: Oleg V. Besov, Valentin P. Il′in and Sergei M. Nikol′skiĭ, Integral representations of functions and imbedding theorems

    Steven G. Krantz

  • Several complex variables and complex geometry

    Eric Bedford;John P D'Angelo

  • Fractal geometry

    Steven G. Krantz

  • Partial Differential Equations

    Steven G. Krantz

  • Complex Variables: A Physical Approach with Applications

    Steven G. Krantz

Frequent Co-Authors

Goong Chen
Goong Chen Texas A&M University
John S. Duncan
John S. Duncan University College London
Sergei Treil
Sergei Treil Brown University
Eric T. Sawyer
Eric T. Sawyer McMaster University
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
Robert Osserman
Robert Osserman Mathematical Sciences Research Institute
Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
John Erik Fornæss
John Erik Fornæss Norwegian University of Science and Technology
Ian D. Graham
Ian D. Graham Ottawa Hospital
Greg Kuperberg
Greg Kuperberg University of California, Davis

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