Mathematician:Serge Lang

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

Works

 * 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)

Books and Papers

 * 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: (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
 * 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:
 * 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:
 * 1988: Geometry
 * 1988: Introduction to Arakelov Theory
 * 1989: Cyclotomic Fields II
 * 1990: (2nd Edition)
 * 1993: Real and Functional Analysis
 * 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)
 * 2009: Heat Eisenstein series on $SL_n (C)$ (with Jay Jorgenson)