**|Research|**

My main area of
study is Number Theory. I am particularly interested in units and class groups
of number fields; extensions of global fields with restricted ramification;
the
arithmetic of elliptic curves; and special values of
L-functions. My other academic interests include coding theory, cryptography, history of mathematics, mathematics education at all levels, and communication of mathematics and its role in society for the public at large. For
preprints, curriculum vitae, etc. please visit my Research Page.

*I currently serve on the editorial board of:
Publications Mathématiques de Besançon:
Algèbre et Théorie des Nombres -- and would be happy to receive your submissions!*

**|Teaching |
Links to some classes from previous semesters |
**

MATH 113:* Math for Elementary Teaching I*

MATH 300:* Fundamental Concepts of Mathematics*

Honors 391D:* Epistolary Vignettes in the History of Mathematics*

MATH 411:* Abstract Algebra I*

MATH 455:*Introduction to Discrete Structures*

Math 461:* Geometry I*

MATH 471:* Theory of Numbers*

MATH 597T:* Mathematical Knowledge For Teaching*

MATH 621:* Complex Analysis*

MATH 797:* Asymptotic Problems*

**|Service|**

In the Department of Mathematics and Statistics, I have served as Undergraduate Program Director (2006-2011), Associate Head (2011-2014), and Head (2014-2017). I also served on the Faculty Senate and as the Faculty Senate Delegate to the UMass Board of Trustees.

**|Outreach|**

I have been a participant in the Western Massachusetts Mathematics Partnership.
I am a former member of the Leverett
School Council and the Leverett School Committee, the Amherst
Regional Middle School Council, of the Amherst-Pelham Regional School Committee, and of the Amherst-Pelham Superintendent Advisory
Council. I represented the Massachusetts Association of School
Committees on the Special
Commission for the Study of School District Collaboration and
Regionalization.