The number theory group at Clemson covers a wide range of interests touching on many areas of number theory. The diverse interests of the faculty provide for numerous number theory courses so that graduate students leave Clemson with an overview of the entire subject. There is a weekly seminar run by the Algebra, Discrete Mathematics, and Number theory group. Graduate students are funded to attend the Palmetto Number Theory Series (PANTS), a conference held three times a year featuring talks by prominent number theorists from across the country. Once students have begun their research they are encouraged to give contributed talks at these meetings. The Southeast Regional Meeting on Numbers (SERMON) is also held once a year with faculty and graduate students from Clemson playing a prominent role. Another unique experience Clemson graduate students in number theory have is the option of helping mentor undergraduates participating in the annual REU in Computational Number Theory and Combinatorics held at Clemson under the direction of Neil Calkin and Kevin James. This allows the graduate students to expand their research interests as well interact with talented undergraduates with similar interests.

Students with an interest in number theory should feel free to e-mail or stop by and speak with any of the number theorists at Clemson. Potential graduate students with an interest in number theory should visit the webpages of the number theorists listed below and contact any one of us with any questions about number theory at Clemson University.

	Faculty
Jim Brown	Neil Calkin	Shuhong Gao
Kevin James	Hiren Maharaj	Hui Xue
	Affiliated Faculty
Elena Dimitrova	Wayne Goddard	Matthew Macauley
Gretchen Matthews	Martin Schmoll
	Graduate Students
Jeff Beyerl	Janine Janoski	Rodney Keaton
Vincent Rusnell	Catherine Trentacoste

News

Spring 2009: Ethan Smith was awarded the Outstanding Graduate Research Award by Clemson University.

Recent Graduates in Number Theory

The following are recent graduates in number theory, their advisor, and employment at the time of graduation.

• Bryan Faulkner: (Ph.D. 2007, Kevin James) Tenure track position at Ferrum College.
• Ethan Smith: (Ph.D. 2009, Kevin James) Tenure track position at Michigan Technological University. Postdoctoral position (2010-2011) jointly between Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA) laboratory of the Centre de recherches mathématiques (CRM), Université de Montréal and Concordia University.
• Tim Flowers: (Ph.D. 2009, Neil Calkin) Lecturer at Clemson University.
• Jeff Beyerl: (M.S. 2009, Kevin James and Hui Xue) Ph.D. student at Clemson University.
• Catherine Trentacoste: (M.S. 2009, Kevin James and Hui Xue) Ph.D. student at Clemson University.

Number Theory Concentration

The following are number theory courses that have been offered in the recent past.

• Introduction to Number Theory
• Algebraic Number Theory
• Analytic Number Theory
• Cryptography
• Algebraic Geometry I & II
• Function Fields
• Class Field Theory
• Introduction to Elliptic Curves and Modular Forms
• Computational Number Theory
• Probabilistic Methods in Combinatorics and Number Theory

Introduction to Number Theory is run in the fall of odd numbered years, followed by Algebraic Number Theory in the spring. Analytic number theory is offered in the spring the following year. Students with an interest in number theory are encouraged to enroll in these classes as soon as possible to help them choose a branch of number theory that will comprise their master's thesis as well as their Ph.D. research should they choose to continue on to their Ph.D.

In addition to the courses run each semester, there is an informal number theory seminar that meets weekly. This is typically used to help students gain background in material that will not appear in a course in the near future. Some recent topics have been Drinfeld modules, modular forms, and elliptic curves.

Current Courses of Interest to Number Theory Students

The following are courses being offered Spring 2010 that should be of interest to students interested in number theory.

• Math 851: Abstract Algebra I (Shuhong Gao)
• Math 951: Algebraic Number Theory (Hui Xue)
• Math 986: Algebraic Topology (Jim Brown)

Additional Number Theory Links

• Algebra and Discrete Math Seminar
• Number Theory Seminar
• Clemson REU in Computational Number Theory and Combinatorics (graduate students in number theory often help out with the REU.)
• Palmetto Number Theory Series (PANTS) homepage
• Southeast Regional Meeting on Numbers (SERMON) homepage
• University of South Carolina Number Theory Seminar
• Number Theory Web (Updates on upcoming conferences, jobs, papers, lecture notes, etc.)
• Kiran Kedlaya's wiki on upcoming number theory conferences
• MAGMA home page
• SAGE home page