POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES BRIAN CONRAD AND MICHAEL MITZENMACHER Abstract. An early result in the history of power laws, due to Miller, concerned the following experiment.

Source URL: math.stanford.edu

• Mathematical analysis
• Probability
• Normal distribution
• Statistics
• Log-normal distribution

Journal of Number Theory 78, 253270[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Remarks on mod-l n Representations, l=3, 5 Brian Conrad Department of Mathematics, Harvard Universi

Source URL: math.stanford.edu

• Lie groups
• Group theory
• Finite groups
• Morphisms
• PSL
• Outer automorphism group
• Frobenius endomorphism
• Representation theory
• Group homomorphism
• Abstract algebra
• Algebra
• Projective geometry

MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi

Source URL: math.stanford.edu

• Modular forms
• Analytic number theory
• Elliptic functions
• Riemann surfaces
• Algebraic curves
• J-invariant
• Theta function
• Congruence subgroup
• Classical modular curve
• Abstract algebra
• Mathematical analysis
• Mathematics

CLASSIFICATION OF PSEUDO-REDUCTIVE GROUPS BRIAN CONRAD AND GOPAL PRASAD Abstract. In an earlier work [CGP], a general theory for pseudo-reductive groups G over arbitrary fields k was developed, and a structure theorem wa

Source URL: math.stanford.edu

• Representation theory
• Lie groups
• Reductive group
• Root datum
• Field extension
• Separable extension
• Unipotent
• Gelfand pair
• Symmetric space
• Abstract algebra
• Algebra
• Algebraic groups

The M¨ obius function and the residue theorem Brian Conrad Department of Mathematics, University of Michigan, Ann Arbor, MI[removed]Email: [removed]

Source URL: math.stanford.edu

• Mathematics
• Symbol
• Finite field
• Representation theory

Finiteness theorems for algebraic groups over function fields Brian Conrad

Source URL: math.stanford.edu

• Lie groups
• Diophantine geometry
• Representation theory
• Reductive group
• Algebraic geometry
• Unipotent
• Group scheme
• Approximation in algebraic groups
• Algebraic K-theory
• Abstract algebra
• Algebra
• Algebraic groups

Impossibility theorems for elementary integration Brian Conrad 2

Source URL: www.claymath.org