## Michael King

Lecturer in Mathematics

### Contact Information

mking@bowdoin.edu

207-725-3563

Mathematics

Searles Science Building - 124

### Teaching this semester

### MATH 2000. Linear Algebra

**Michael King**

Topics include vectors, matrices, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors, and quadratic forms. Applications to linear equations, discrete dynamical systems, Markov chains, least-squares approximation, and Fourier series.

### MATH 2502. Number Theory and Cryptography

**Michael King**

A survey of number theory from Euclid’s proof that there are infinitely many primes through Wiles’s proof of Fermat’s Last Theorem in 1994. Prime numbers, unique prime factorization, and results on counting primes. The structure of modular number systems. Continued fractions and “best” approximations to irrational numbers. Investigation of the Gaussian integers and other generalizations. Squares, sums of squares, and the law of quadratic reciprocity. Applications to modern methods of cryptography, including public key cryptography and RSA encryption.