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 ADM seminar run by the Algebra, Discrete Mathematics, and Number theory group as well as a weekly number theory seminar. 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.
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News
- Spring 2012:
- Dania Zantout was funded to participate in a Workshop on Modular Forms and Related Topics from February 6-10, 2012 at the American University of Beirut in Beirut, Lebanon.
- Rodney Keaton was funded to participate in the Arizona Winter School from March 10-14, 2012 at the University of Arizona in Tucson, AZ.
- Fall 2011:
- Jeff Beyerl and Catherine Trentacoste were invited to speak in the Special Session on Modular Forms, Elliptic Curves, and Related Topics at the Fall Southeastern Section Meeting of the AMS at Wake Forest University from September 24-25, 2011.
- Summer 2011:
- Dania Zantout was funded to participate in the BSD Conjecture Summer School at the Porto Conte Ricerche research and conference center in Sardinia, Italy from June 26 - July 3, 2011.
- Dania Zantout and Rodney Keaton were awarded funding for airfare and lodging to participate in FRG/RTG Workshop on L-functions, Galois representations and Iwasawa Theory at the University of Michigan from May 17-22, 2011
- Spring 2011:
Jeff Beyerl and Dania Zantout were awarded funding for airfare and lodging to participate in the Arizona Winter School at the University of Arizona from March 12-16, 2011
- Summer 2010: Rodney Keaton was funded to participate in the MSRI summer school on elliptic curves.
- Spring 2010:
- Catherine Trentacoste was awarded NSF funding for airfare, housing, and per diem to participate in the Research Program in Arithmetic Geometry being held in Barcelona Spain at the Centre de Recerca Matematica from April 6-16.
- Rodney Keaton was awarded funding for airfare and housing to participate in the Arizona Winter School at the University of Arizona from March 13-17.
- Catherine Trentacoste was awarded NSF funding for airfare, housing, and per diem to participate in the Research Program in Arithmetic Geometry being held in Barcelona Spain at the Centre de Recerca Matematica from April 6-16.
- Summer 2009: Catherine Trentacoste was funded to participate in the MSRI summer school on toric varieties.
- Spring 2009:
- Ethan Smith was awarded the Outstanding Graduate Research Award by Clemson University.
- Jeff Beyerl was awarded funding for airfare and housing and chosen to participate in a project in the Arizona Winter School
at the University of Arizona from March 14-18.
- 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.
- Rodney Keaton: (M.S. 2010, Jim Brown and Kevin James) Ph.D. student at Clemson University.
- 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.
- 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.
- Bryan Faulkner: (Ph.D. 2007, Kevin James) Tenure track position at Ferrum College.
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
In addition to the courses run each semester, there is a 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, elliptic curves, L-functions, and modular forms.
Current Courses of Interest to Number Theory Students
The following are courses being offered Spring 2012 that should be of interest to students interested in number theory.
- Math 852: Abstract Algebra II (Kevin James)
- Math 951: Algebraic Number Theory (Hui Xue)
The following are courses being offered Fall 2011 that should be of interest to students interested in number theory.
- Math 823: Complex Analysis (Martin Schmoll)
- Math 851: Abstract Algebra I (Kevin James)
- Math 858: Introductory Number Theory (Hui Xue)
- Math 985: Introduction to Lie Groups and Lie Algebras (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