- Home
- Best Scientists - Mathematics
- Serge Lang

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
42
Citations
17,290
256
World Ranking
1180
National Ranking
541

1999 - Steele Prize for Mathematical Exposition

1985 - Member of the National Academy of Sciences

1968 - Fellow of the American Association for the Advancement of Science (AAAS)

1965 - Fellow of John Simon Guggenheim Memorial Foundation

1960 - Frank Nelson Cole Prize in Algebra

1959 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Pure mathematics
- Algebra

Serge Lang mainly investigates Pure mathematics, Diophantine equation, Discrete mathematics, Algebraic number and Frobenius theorem. His work carried out in the field of Pure mathematics brings together such families of science as Transcendental number and Finite field. His Diophantine equation research includes elements of Elliptic function, Elliptic curve, Supersingular elliptic curve and Jacobi elliptic functions.

His work on Number theory, Vojta's conjecture and Subspace theorem as part of general Discrete mathematics study is frequently linked to Siegel's theorem on integral points, bridging the gap between disciplines. The concepts of his Algebraic number study are interwoven with issues in Quadratic equation, Exponential function and Combinatorics. His Manifold research is multidisciplinary, relying on both Curvature of Riemannian manifolds and Symplectic geometry.

- Algebraic Number Theory (2106 citations)
- Fundamentals of Diophantine Geometry (942 citations)
- Fundamentals of differential geometry (492 citations)

Pure mathematics, Mathematical analysis, Algebra, Combinatorics and Discrete mathematics are his primary areas of study. Pure mathematics is frequently linked to Algebraic number in his study. His work in Combinatorics is not limited to one particular discipline; it also encompasses Field.

- Pure mathematics (47.13%)
- Mathematical analysis (12.39%)
- Algebra (12.08%)

- Pure mathematics (47.13%)
- Eisenstein series (3.32%)
- Mathematical analysis (12.39%)

His main research concerns Pure mathematics, Eisenstein series, Mathematical analysis, Differential operator and Haar measure. He undertakes multidisciplinary investigations into Pure mathematics and Zonal spherical function in his work. His research integrates issues of Riemann zeta function, Memoir, Fourier series, Series and Fundamental domain in his study of Eisenstein series.

His study in the field of Nevanlinna theory is also linked to topics like Casimir effect, Modified discrete cosine transform and Fourier sine and cosine series. His Differential operator research incorporates themes from Weyl group, Mellin transform, Invariant and Invariant. In his study, Minkowski space and Unimodular matrix is inextricably linked to Homogeneous space, which falls within the broad field of Haar measure.

- Differential and Riemannian Manifolds (313 citations)
- Introduction to Differentiable Manifolds (296 citations)
- Finiteness Theorems in Geometric Classfield Theory (31 citations)

- Mathematical analysis
- Algebra
- Pure mathematics

Serge Lang focuses on Pure mathematics, Mathematical analysis, Eisenstein series, Algebra and Discrete mathematics. Serge Lang integrates Pure mathematics with Poisson distribution in his research. His Mathematical analysis research is multidisciplinary, incorporating elements of Tangent and Eigenfunction.

Within one scientific family, Serge Lang focuses on topics pertaining to Fourier series under Eisenstein series, and may sometimes address concerns connected to Trace, Absolute convergence and Fundamental domain. His Nevanlinna theory, Special functions and Invariant study, which is part of a larger body of work in Algebra, is frequently linked to Quadratic model, bridging the gap between disciplines. Serge Lang has researched Discrete mathematics in several fields, including Vector field, Vector calculus and Exterior derivative.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Algebraic Number Theory

Serge Lang.

**(1971)**

3514 Citations

Algebraic Number Theory

Serge Lang.

**(1971)**

3514 Citations

Fundamentals of Diophantine Geometry

Serge Lang.

**(1983)**

1557 Citations

Fundamentals of Diophantine Geometry

Serge Lang.

**(1983)**

1557 Citations

Real and Functional Analysis

Serge Lang.

**(1978)**

846 Citations

Fundamentals of differential geometry

Serge Lang.

**(1998)**

800 Citations

Fundamentals of differential geometry

Serge Lang.

**(1998)**

800 Citations

Real and Functional Analysis

Serge Lang.

**(1983)**

719 Citations

Number Theory III

Serge Lang.

**(1991)**

705 Citations

Number Theory III

Serge Lang.

**(1991)**

705 Citations

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

Contact us

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:

Harvard University

University of Michigan–Ann Arbor

University of California, Berkeley

University of Waterloo

Princeton University

Institute for Advanced Study

Kodak (France)

Ames Research Center

Stony Brook University

University of California, Davis

Universitat Politècnica de València

University of Parma

Helmholtz-Zentrum Berlin für Materialien und Energie

University of Aveiro

Royal Botanic Gardens

Utah State University

Kansas State University

University of Dundee

University of Lisbon

University of Chicago

University of Geneva

University of Oxford

Something went wrong. Please try again later.