Mathematician:Serge Lang
Jump to navigation
Jump to search
Mathematician
French-American mathematician known for his work in number theory, and for the mathematics textbooks he wrote.
Member of the Bourbaki group.
Nationality
French-born American
History
- Born: 19 May 1927, Saint-Germain-en-Laye, near Paris, France
- Died: 12 Sept 2005, Berkeley, California, USA
Theorems and Definitions
- Schneider-Lang Theorem (with Theodor Schneider)
- Mordell-Lang Conjecture (with Louis Joel Mordell)
- Bombieri-Lang Conjecture (with Enrico Bombieri)
- Lang's Integral Point Conjecture
- Lang-Trotter Conjecture (with Hale Freeman Trotter)
- Lang Conjecture on Gamma Values
- Lang Conjecture on Analytically Hyperbolic Varieties
- Lang Map
- Lang-Steinberg Theorem in Algebraic Groups (with Robert Steinberg)
- Katz-Lang Finiteness Theorem (with Nicholas Michael Katz)
Results named for Serge Lang can be found here.
Definitions of concepts named for Serge Lang can be found here.
Publications
- 1951: On Quasi Algebraic Closure
- 1952: Hilbert's Nullstellensatz in Infinite-Dimensional Space
- 1952: On Chevalley's Proof of Lüroth's Theorem (with John Tate)
- 1954: Number of Points of Varieties in Finite Fields (with André Weil).
- 1958: Introduction to Algebraic Geometry
- 1959: Abelian Varieties
- 1962: Diophantine Geometry
- 1962: Introduction To Differentiable Manifolds
- 1964: A First Course in Calculus
- 1964: Algebraic Numbers
- 1965: A Second Course in Calculus
- 1965: Algebra (and many later editions)
- 1966: Algebraic Structures
- 1966: Introduction to Diophantine Approximations
- 1966: Introduction to Transcendental Numbers
- 1966: Linear Algebra
- 1966: Rapport sur la Cohomologie des Groupes
- 1968: A Complete Course in Calculus
- 1968: Analysis I
- 1969: Analysis II
- 1969: Real Analysis
- 1970: Algebraic Number Theory
- 1970: Introduction To Linear Algebra
- 1970: Analytic subgroups of group varieties (Inventiones Mathematicae Vol. 11: pp. 1 – 14) (with Enrico Bombieri)
- 1971: Basic Mathematics
- 1972: Differential Manifolds
- 1972: Introduction to Algebraic and Abelian Functions
- 1973: Calculus of Several Variables
- 1973: Elliptic Functions
- 1975: $SL_2 (R)$
- 1977: Complex Analysis
- 1978: Cyclotomic Fields
- 1978: Elliptic Curves: Diophantine Analysis
- 1981: Modular Units (with Dan Kubert)
- 1981: The File: Case Study in Correction 1977–1979
- 1983: Undergraduate Analysis
- 1983: Complex Multiplication
- 1983: Fundamentals Of Diophantine Geometry
- 1985: The Beauty of Doing Mathematics: Three Public Dialogues
- 1985: Math!: Encounters with High School Students
- 1985: Riemann-Roch Algebra (with William Fulton)
- 1986: Topics in Cohomology of Groups (translation of Rapport sur la Cohomologie des Groupes from 1966)
- 1987: Introduction to Modular Forms
- 1987: Introduction To Complex Hyperbolic Spaces
- 1987: Undergraduate Algebra
- 1988: Geometry
- 1988: Introduction to Arakelov Theory
- 1989: Cyclotomic Fields II
- 1995: Differential and Riemannian Manifolds
- 1993: Basic Analysis of Regularized Series and Products (with Jay Jorgenson)
- 1997: Challenges
- 1997: Survey On Diophantine Geometry
- 1999: Fundamentals of Differential Geometry
- 1999: Math Talks for Undergraduates
- 1999: Problems and Solutions for Complex Analysis (with Rami Shakarchi)
- 2000: Collected Papers I: 1952–1970
- 2000: Collected Papers II: 1971–1977
- 2000: Collected Papers III: 1978–1990
- 2000: Collected Papers IV: 1990–1996
- 2001: Short Calculus (new edition of A First Course in Calculus from 1964)
- 2001: Spherical Inversion on $SL_n$ (with Jay Jorgenson)
- 2005: $Pos_n (R)$ and Eisenstein Series (with Jay Jorgenson)
- 2008: The Heat Kernel and Theta Inversion on $SL_2 (C)$ (with Jay Jorgenson)
- 2009: Heat Eisenstein series on $SL_n (C)$ (with Jay Jorgenson)