What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Algebraic Number Theory (2106 citations)
- Fundamentals of Diophantine Geometry (942 citations)
- Fundamentals of differential geometry (492 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (47.13%)
- Mathematical analysis (12.39%)
- Algebra (12.08%)
What were the highlights of his more recent work (between 1999-2013)?
- Pure mathematics (47.13%)
- Eisenstein series (3.32%)
- Mathematical analysis (12.39%)
In recent papers he was focusing on the following fields of study:
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.
Between 1999 and 2013, his most popular works were:
- Differential and Riemannian Manifolds (313 citations)
- Introduction to Differentiable Manifolds (296 citations)
- Finiteness Theorems in Geometric Classfield Theory (31 citations)
In his most recent research, the most cited papers focused on:
- 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.
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