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 algebraic geometry and 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.
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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- Spring 2013:
- Rodney Keaton and Cindy Tagaris were funded to participate in the Arizona Winter School from March 10-14, 2012 at the University of Arizona in Tucson, AZ. Rodney Keaton was chosen to work on a research project.
- Summer 2012:
- Rodney Keaton and Dania Zantout were funded to participate in the workshop and subsequent conference Building Bridges: 1st EU-US conference on automorphic forms and related topics from July 30 - August 10, 2012 at RWTH Aachen, Germany.
- Spring 2012:
- Dania Zantout was funded to participate in the conference Towards a Local Proof of the Local Langlands Correspondence from May 12-13, 2012 at University of Illinois - Chicago.
- Dania Zantout was funded to speak at the 26th Automorphic Forms Workshop April 26-29, 2012 at the University of British Columbia in Vancouver, British Columbia.
- 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.
Recent Graduates in Number Theory
The following are recent graduates in number theory, their advisor, and employment at the time of graduation.
- Dania Zantout (Ph.D. 2013, Jim Brown) Visiting Assistant Professor at Clemson University
- Trevor Vilardi (M.S. 2013, Hui Xue) Ph.D. student at Clemson University.
- Jeff Beyerl: (Ph.D. 2012, Kevin James and Hui Xue) One year visiting position at Furman University
- Catherine Trentacoste: (Ph.D. 2012, Kevin James and Hui Xue) Research Analyst at Center for Naval Analyses
- 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.
- 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
- 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 Fall 2013 that may be of interest to students interested in number theory.
- Math 851: Abstract Algebra I (Michael Burr)
- Math 853: Matrix Analysis (Svetlana Poznanovikj)
- Math 858: Number Theory (Hui Xue)
- Math 986: Algebraic Geometry I (Jim Brown)
Additional Number Theory Links
- Algebra and Discrete Math Seminar
- Algebraic Geometry and 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