Dr Detta Dickinson

Mathematics and Statistics

Senior Lecturer

Logic House
202
(01) 7084635

Biography

I work in the area of metric Diophantine approximation. Currently I am interested in the distribution of conjugate algebraic points in regions of space and in simultaneous Diophantine approximation on manifolds.

Books

  Year Publication
2006 Measure theoretic laws for limsup sets.
V. V. Beresnevich, D. Dickinson and S. L. Velani (2006) Measure theoretic laws for limsup sets. : Memoirs of the AMS - Volume 179. [Details]

Peer Reviewed Journals

  Year Publication
2013 'The metric theory of mixed type linear forms'
Dickinson, D. and Hussain, M. (2013) 'The metric theory of mixed type linear forms'. INTERNATIONAL JOURNAL OF NUMBER THEORY, 9 :77-90 [DOI] [IR Link] [Details]
2013 'Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function'
N Budarina and D Dickinson (2013) 'Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function'. Acta Arithmetica, 160 :243-257 [DOI] [Details]
2012 'On the number of polynomials with small discriminants in the Euclidean and p-adic metrics'
N Budarina, D Dickinson and J Yuan (2012) 'On the number of polynomials with small discriminants in the Euclidean and p-adic metrics'. ACTA MATHEMATICA SINICA - ENGLISH SERIES, 28 :469-476 [DOI] [IR Link] [Details]
2012 'Simultaneous Diophantine approximation in two metrics and the distance between conjugate algebraic numbers in CQp'
N Budarina and D Dickinson (2012) 'Simultaneous Diophantine approximation in two metrics and the distance between conjugate algebraic numbers in CQp'. INDAGATIONES MATHEMATICAE-NEW SERIES, 23 :32-41 [IR Link] [Details]
2011 'On real and complex roots of integer polynomials in a neighborhood of their small values'
V Bernik, N Budarina and D Dickinson (2011) 'On real and complex roots of integer polynomials in a neighborhood of their small values'. DOKLADY AKADEMII NAUK BELARUSI, 55 [Details]
2011 'On simultaneous rational approximation to a p-adic number and its integral powers'
N Budarina, Y Bugeaud, D Dickinson and H O'Donnell (2011) 'On simultaneous rational approximation to a p-adic number and its integral powers'. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 54 :599-612 [IR Link] [Details]
2010 'Simultaneous Diophantine approximation in the real, complex and p-adic fields'
V Bernik, N Budarina and D Dickinson (2010) 'Simultaneous Diophantine approximation in the real, complex and p-adic fields'. Mathematical Proceedings of the Cambridge Philosophical Society, 149 :193-216 [Details]
2010 'Simultaneous Diophantine approximation on polynomial curves'
Budarina, Natalia, Dickinson, Detta and Levesley, Jason (2010) 'Simultaneous Diophantine approximation on polynomial curves'. MATHEMATIKA, 56 :77-85 [Details]
2009 'Diophantine approximation on non-degenerate curves with non-monotonic error function'
Budarina, N. and Dickinson, D. (2009) 'Diophantine approximation on non-degenerate curves with non-monotonic error function'. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 41 :137-146 [IR Link] [Details]
2008 'A divergent Khintchine theorem in the real, complex and p-adic fields'
V. Bernik, N. Budarina and D. Dickinson (2008) 'A divergent Khintchine theorem in the real, complex and p-adic fields'. LITHUANIAN MATHEMATICAL JOURNAL, 48 :158-173 [Details]
2008 'Simultaneous Diophantine approximation of integral polynomials in different metrics'
Natalia Budarina and Detta Dickinson (2008) 'Simultaneous Diophantine approximation of integral polynomials in different metrics'. To be added, 9 :169-184 [IR Link] [Details]
2007 'Diophantine approximation on planar curves and the distribution of rational points'
V. V. Beresnevich, D. Dickinson and S. L. Velani (2007) 'Diophantine approximation on planar curves and the distribution of rational points'. ANNALS OF MATHEMATICS, 166 :367-426 [IR Link] [Details]
2007 'Khintchine's theorem and the approximation of zero by the values of integer polynomials in different metrics'
V. I. Bernik, N. Budarina and D. Dickinson (2007) 'Khintchine's theorem and the approximation of zero by the values of integer polynomials in different metrics'. DOKLADY MATHEMATICS, 75 :201-203 [Details]
2007 'Simultaneous approximation of real and complex numbers by algebraic numbers of a special kind'
V. Bernik, N. Budarina and D. Dickinson (2007) 'Simultaneous approximation of real and complex numbers by algebraic numbers of a special kind'. TRUDY INSTITUTA MATEMATICA, 15 :3-9 [Details]
2007 'p-adic Diophantine approximation on the Veronese curve with a non-monotonic error'
V. Bernik, N. Budarina and D. Dickinson (2007) 'p-adic Diophantine approximation on the Veronese curve with a non-monotonic error'. TRUDY INSTITUTA MATEMATICA, 15 :98-104 [Details]
2007 'Khintchine's theorem and simultaneous Diophantine approximation of zero by the values of integer polynomials in R*C'
V. Bernik, N. Budarina and D. Dickinson (2007) '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 [Details]
2006 'Simultaneous Diophantine approximation on surfaces defined by polynomial expressions x_1^d +...+x_m^d'
N. Budarina and D. Dickinson (2006) 'Simultaneous Diophantine approximation on surfaces defined by polynomial expressions x_1^d +...+x_m^d'. ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY, (Vilnius) :1-7 [Details]
2002 'Perturbations of vector fields on tori: resonant normal forms and Diophantine phenomena'
D. Dickinson, T. Gramchev and M. Yoshino (2002) 'Perturbations of vector fields on tori: resonant normal forms and Diophantine phenomena'. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 45 :731-759 [IR Link] [Details]
2001 'Simultaneous Diophantine approximation on the circle'
D. Dickinson and M. M. Dodson (2001) 'Simultaneous Diophantine approximation on the circle'. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 130 :513-522 [Details]
2001 'Sets of exact 'logarithmic' order in the theory of Diophantine approximation'
V. Beresnevitch, D. Dickinson and S. L. Velani (2001) 'Sets of exact 'logarithmic' order in the theory of Diophantine approximation'. MATHEMATISCHES ANNALEN, 321 :253-273 [Details]
2000 'On linear manifolds for which the Khinchin approximation theorem holds'
V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (2000) 'On linear manifolds for which the Khinchin approximation theorem holds'. Vesti Nats Akad. Navuk Belaruis Ser. Fiz.-mat. Navuk, 2 :14-17 [Details]
2000 'Extremal manifolds and Hausdorff dimension'
D. Dickinson and M. M. Dodson (2000) 'Extremal manifolds and Hausdorff dimension'. DUKE MATHEMATICAL JOURNAL, 101 :271-281 [DOI] [Details]
2000 'Hausdorff dimension and a generalized form of simultaneous Diophantine approximation'
D. Dickinson and B. P. Rynne (2000) 'Hausdorff dimension and a generalized form of simultaneous Diophantine approximation'. ACTA ARITHMETICA, 93 :21-36 [Details]
2000 'Apery sequences and Legendre transforms'
D. Dickinson and Jin Yuan (2000) 'Apery sequences and Legendre transforms'. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 68 :349-356 [DOI] [Details]
1999 'Inhomogeneous Diophantine approximation on polynomial curves in Q_p'
V. I. Bernik, D. Dickinson and Jin Yuan (1999) 'Inhomogeneous Diophantine approximation on polynomial curves in Q_p'. ACTA ARITHMETICA, 90 :37-48 [Details]
1999 'The Khintchine-Groshev theorem for planar curves'
V. V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (1999) 'The Khintchine-Groshev theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON, A, 455 :3053-3063 [Details]
1999 'Hausdorff dimension and p-adic Diophantine approximation'
D. Dickinson, M. M. Dodson and Jin Yuan (1999) 'Hausdorff dimension and p-adic Diophantine approximation'. INDAGATIONES MATHEMATICAE-NEW SERIES, 10 :337-347 [DOI] [Details]
1998 'A Khtinchine-type version of Schmidt's theorem for planar curves'
V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'A Khtinchine-type version of Schmidt's theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON, A, 454 :179-185 [DOI] [Details]
1998 'Approximation of real numbers by values of integer polynomials'
V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'Approximation of real numbers by values of integer polynomials'. DOKL. NATS. AKAD. NAUK. BELARUSI, 42 :51-54 [Details]
1997 'A note on the theorem of Jarnik-Besicovitch'
D. Dickinson (1997) 'A note on the theorem of Jarnik-Besicovitch'. GLASGOW MATHEMATICAL JOURNAL, 39 :233-236 [Details]
1997 'Hausdorff measure and linear forms'
D. Dickinson and S. L. Velani (1997) 'Hausdorff measure and linear forms'. JOURNAL REINE ANGEW MATHEMATIK, 490 :1-36 [DOI] [Details]
1994 'The Hausdorff dimension of sets arising in Diophantine approximation'
D. Dickinson (1994) 'The Hausdorff dimension of sets arising in Diophantine approximation'. ACTA ARITHMETICA, 53 :133-140 [Details]
1993 'The Hausdorff dimension of systems of simultaneously small linear forms'
D. Dickinson (1993) 'The Hausdorff dimension of systems of simultaneously small linear forms'. MATHEMATIKA, 40 :367-374 [DOI] [Details]

Other Journals

  Year Publication
2004 'Ideas and results from the theory of Diophantine approximation'
D. Dickinson (2004) 'Ideas and results from the theory of Diophantine approximation' Conference Proceedings: Diophantine phenomena in differential equations and dynamical systems, RIMS Kyoto . [Details]
1996 'First order pseudo-differential operators on the torus: normal fomrs, Diophantine phenomena and global hypoellipticity'
D. Dickinson, T. Gramchev and M. Yoshino (1996) 'First order pseudo-differential operators on the torus: normal fomrs, Diophantine phenomena and global hypoellipticity' Ann. Univ. Ferrara - Sez. VII - Sc. Mat, XL1 :51-64. [Details]

Conference Contributions

  Year Publication
2009
Evgeniy Zorin (2009) [Visiting and guest lecturers hosted], Mixed Diophantine approximation, Institut Mathematiques de Jussieu, Science and Engineering, Mathematics . [Details]
2009
Professor Basil Bernik (2009) [Visiting and guest lecturers hosted], Diophantine approximation on manifolds, Academy of Sciences, Belarus, Science and Engineering, Mathematics . [Details]
2009
Professor Yann Bugeaud (2009) [Visiting and guest lecturers hosted], Mixed Diophantine approximation, University of Strasbourg, Science and Engineering, Mathematics . [Details]
2009 Conference in Honour of Professor Kuznetsov.
(2009) Conference in Honour of Professor Kuznetsov. [Oral Presentation], Diophantine approximation on y=x^3, Khabarovsk, Russia . [Details]
2001
(2001) Invited speaker, Manchester University , 04-JAN-01 - 04-JAN-01. [Details]
2001
(2001) BMC, Glasgow , 03-JAN-01 - 03-JAN-01. [Details]

Book Review

  Year Publication
2005
Yann Bugeaud (2005) Book Review [Details]