Number Theory

General information

• Members of the research group
• The number theory mailing list

Research

• Preprints by members of the research group
• Algebraic and Analytic Methods in Number Theory (EPSRC grant no. EP/F060661/1)
• Rational Points on Algebraic Varieties (EPSRC grant no. GR/R93155/01)
• Papers by members of the group, on the departmental eprint server

Seminars

• Number theory seminars
  • Next seminar: 

    Thu, 30/05 16:00	Eugen Keil (Bristol)	Number Theory Seminar	L3
    	On translation invariant quadratic forms
    	Solutions to translation invariant linear forms in dense sets  (for example: k-term arithmetic progressions), have been studied extensively in additive combinatorics and number theory. Finding solutions to translation invariant quadratic forms is a natural generalization and at the same time a simple instance of the hard general problem of solving diophantine equations in unstructured sets. In this talk I will explain how to modify the  classical circle method approach to obtain quantitative results  for quadratic forms with at least 17 variables.

    For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

• Past seminars
• Junior number theory seminars
  • Next seminar: 

    Mon, 27/05 16:00	Alastair Irving (Oxford)	Junior Number Theory Seminar	SR1
    	The Hasse Principle for the Equation Polynomial=Norm: An Approach Using Sieve Theory

    For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

     

• Graduate lectures

Other information

• Information for Applicants for Postgraduate study
• Travel information
• Vacancies within the department

Links

• American Institute of Mathematics: workshop notes
• ArXiv: recent number theory abstracts
• London Mathematical Society
• The NMBRTHRY mailing list
• MathSciNet Search
• Number Theory Web
• Errata for Hardy & Wright, 6th Edition; and Titchmarsh, 2nd Edition