Algebra & Number Theory Research Group

Dr. Detta Dickinson		Dr. Ciaran Mac an Bhaird		Dr. Pat McCarthy		Dr. John Murray

Ms. Sonia Balagopalan		Dr. Natalia Budarina		Mr. Hugh O'Donnell		Mr. Ciarán O'Rourke

Contact

Email: algnumthrg@maths.nuim.ie

Research Topics

Research topics of interest to this group include: Character theory of finite groups, Combinatorics and Number theory, Diophantine approximation and Measure theory. For further information on the research interests of individual members of the group please see Staff Research Interests. For information on possible postgraduate research areas please see Proposed Research Projects.

Postdoctaral and Postgraduate Researchers

Events Organised

• Duality and Involutions in Representation Theory Conference, NUIM, 19-22 August, 2008.

Recent Publications - 2006 to 2010

• Accepted:
  N. Budarina, and H. Dickinson
  Diophantine approximation on non-degenerate curves with non-monotonic error function.
  Accepted: Bulletin of the London Mathematical Society (2009).




• V. Bernik, N. Budarina, and H. Dickinson
  A divergent Khintchine theorem in the real, complex and p-adic fields.
  Lithuanian Mathematical Journal 48, 158-173 (2008).




• N. Budarina, and H. Dickinson
  Simultaneous Diophantine approximation of integral polynomials in different metrics.
  Chebyshevskii Sbornik 9, 1-10 (2008).




• V. Bernik, N. Budarina, and H. Dickinson
  Simultaneous approximation of real and complex numbers by algebraic numbers of a special kind.
  Trudi Instituta Matematica 15, 3-9 (2007).




• V. Bernik, N. Budarina, and H. Dickinson
  p-adic Diophantine approximation on the Veronese curve with a non-monotonic error.
  Trudi Instituta Matematica 15, 98-104 (2007).




• V. Bernik, N. Budarina, and H. Dickinson
  Khintchine's theorem and simultaneous Diophantine approximation of zero by the values of integer polynomials in R*C.
  Vesti NAN Belarusi, Ser. Fiz-mat nauk 2, 48-52 (2007).




• V. Bernik, N. Budarina, and H. Dickinson
  Khintchine's theorem and the approximation of zero by the values of integer polynomials in different metrics.
  Doklady Mathematics 75, 201-203 (2007).




• V.V. Beresnevich H. Dickinson, and S.L. Velani
  Diophantine approximation on planar curves and the distribution of rational points.
  Annals of Mathematics 166, 367-426 (2007).




• N. Budarina, and H. Dickinson
  Simultaneous Diophantine approximation on surfaces defined by polynomial expressions x₁^d+x_n^d.
  Anal. Probab. Methods Number Theory, Vilnius, 1-7 (2006).




• V.V. Beresnevich, H. Dickinson, and S.L. Velani
  Measure theoretic laws for limsup sets.
  Memoirs of the American Mathematical Society 179, 91 (2006).




• John Murray
  Components of the involution module in blocks with cyclic or Klein-four defect group.
  
  Journal of Group Theory 11, 43-62 (2008).




• H. Ellers, and John Murray
  Branching rules for Specht modules.
  Journal of Algebra 307, 278-286 (2007).




• John Murray
  Projective indecomposable modules, Scott modules and the Frobenius-Schur indicator.
  Journal of Algebra 311, 800-816 (2007).




• Thomas Breuer, László Héthelyi, Erzsébet Horváth, Burkhard Külshammer, John Murray
  Cartan invariants and central ideals of group algebras,
  J. Algebra 296 (2006), pp177-95.




• John Murray
  Strongly real 2-blocks and the Frobenius-Schur indicator
  Osaka Journal of Mathematics, (1) 43 (2006), pp201-13.




• John Murray
  Projective modules and involutions
  J. Algebra (2) 299 (2006), pp616-22.