# Number Theory

## FACULTY

#### Roger Baker

###### PROFESSOR

Dr. Baker investigates prime numbers and the gaps between prime numbers. He has won the Distinguished Prize of the Hardy-Ramanujan Society twice for his work on primes. Dr. Baker is the senior scientist in the College of Physical and Mathematical Sciences, having written peer-reviewed papers since 1970.

#### David A. Cardon

###### PROFESSOR

Dr. Cardon researches analytic and algebraic number theory and complex analysis. He has also done significant work in the field of matrices and number theory.

#### Jasbir S. Chahal

###### PROFESSOR

Dr. Chahal researches various areas within number theory. Two of those include convergence properties and irreducible polynomials over number fields. He authored the book A Historical Perspective of Mathematics.

#### Darrin Doud

###### PROFESSOR

Dr. Doud researches the actions of Hecke algebras on the cohomology of arithmetic groups and the relations of these actions to Galois representations. He is also interested in study of number fields with limited ramification, elliptic curves, explicit class field theory, and Galois cohomology.

#### Paul Jenkins

###### ASSISTANT PROFESSOR

Dr. Jenkins's research interests include modular forms, partitions, and odd perfect numbers. He is an associate chair of BYUs Mathematics Department.

#### Xian-Jin Li

###### PROFESSOR

Dr. Li has done significant research on the Riemann hypothesis. He is the creator of Lis criterion, which relates to the positivity of certain sequences.