Areas of active research in algebra and number theory in the department are generally situated within algebraic number theory, arithmetic geometry, the theory of modular forms, and universal algebra. Specific subfields include: arithmetic dynamics, arithmetic statistics, computational number theory, Iwasawa theory, and mock modular forms of integral and half-integral weight, primarily from an algebraic/*p*-adic prospective.

##### Visitors and Friends

Colleagues who have spent extended visits with us in recent years include: Khalid Benabdallah, Greg Brumfiel, Danielle Gondard, Keith Kearnes, Claude Levesque, Jon Merzel, Otto Mutzbauer, Nilakatan Sankaran, Tara Smith, Lutz Strüngmann and Charles Vinsonhaler.