Robert Osburn
Lecturer
School of Mathematical Sciences
University College Dublin
Ph.D., 2001, Louisiana State University
Contact Information:
School of Mathematical Sciences
University College Dublin
Belfield
Dublin 4
Ireland
Office: Science Lecture Building, 6
Phone: +353 1 716 2548
Fax: +353 1 716 1196
robert dot osburn at ucd dot ie
Seminar and Teaching:
Math 10110: Math for Business II
K-Theory, Quadratic Forms and Number Theory Seminar
Events:
2010: South Carolina, Dublin
2011: Trieste, Lithuania
Curriculum Vitae:
cv.pdf
Publications:
R. Osburn, "Densities of 4-ranks of K_2(O)",
Acta Arithmetica, 102, (2002) 45-54.
R. Osburn and B. Murray, "Tame kernels and further 4-rank densities",
Journal of Number Theory, 98, (2003) 390-406.
R. Osburn, "A note on 4-rank densities",
Canadian Mathematical Bulletin, 47, (2004) 431-438.
R. Osburn, "Vanishing of eigenspaces and cyclotomic fields",
International Mathematics Research Notices, no. 20, (2005) 1195-1202.
R. Osburn, "A remark on a conjecture of Borwein and Choi",
Proceedings of the American Mathematical Society, 133, no. 10, (2005) 2903-2909.
S. K. K. Choi, A. Kumchev, and R. Osburn, "On sums of three squares",
International Journal of Number Theory, 1, no. 2, (2005) 161-173.
P. Moree and R. Osburn, "Two-dimensional lattices with few distances",
L'Enseignement Mathématique, 52, (2006) 361-380.
S. de Wannemacker, T. Laffey, and R. Osburn, "On a conjecture of Wilf",
Journal of Combinatorial Theory, Series A, 114, no. 7, (2007) 1332-1349.
R. Murty and R. Osburn, "Representations of integers by certain positive definite binary quadratic forms",
The Ramanujan Journal, 14, no. 3, (2007) 351-359.
R. Osburn, "Congruences for traces of singular moduli",
The Ramanujan Journal, 14, no. 3, (2007) 411-419.
J. Lovejoy and R. Osburn, "Rank differences for overpartitions",
The Quarterly Journal of Mathematics, 59, no. 2, (2008) 257-273.
D. McCarthy and R. Osburn, "A p-adic analogue of a formula of Ramanujan",
Archiv der Mathematik, 91, no. 6, (2008) 492-504.
R. Osburn and C. Schneider, "Gaussian hypergeometric series and supercongruences",
Mathematics of Computation, 78, no. 265, (2009) 275-292.
J. Lovejoy and R. Osburn, "M2-rank differences for partitions without repeated odd parts",
Journal de Théorie des Nombres de Bordeaux, 21, no. 2, (2009) 313-334.
K. Bringmann, J. Lovejoy, and R. Osburn, "Rank and crank moments for overpartitions",
Journal of Number Theory, 129, (2009) 1758-1772.
K. Bringmann, J. Lovejoy, and R. Osburn, "Automorphic properties of generating functions for generalized rank moments and Durfee symbols",
International Mathematics Research Notices, no. 2, (2010) 238-260.
H. Chan, A. Kontogeorgis, C. Krattenthaler and R. Osburn, "Supercongruences satisfied by coefficients of 2F1 hypergeometric series",
accepted for publication in Annales des sciences mathématiques du Québec.
D. McCarthy, R. Osburn, and B. Sahu, "Arithmetic properties for Apéry-like numbers", submitted.
J. Lovejoy and R. Osburn, "M2-rank differences for overpartitions", submitted.
R. Osburn and B. Sahu, "Supercongruences via modular forms", submitted.
D. Brink, P. Moree, and R. Osburn, "On computations of Shanks and Schmid", in preparation.
P. Moree, M. Myers, and R. Osburn, "Constrained ternary integers", in preparation.
Graduate Students:
Stefan de Wannemacker, PhD 2006, UCD
(co-advisor: David Lewis).
Dermot McCarthy, PhD student, UCD
Ad Astra Research Scholarship.
Postdoctoral Fellows:
Marilyn Reece Myers, Dec. 2007-Dec. 2009, UCD
IRCSET Postdoctoral Fellowship.
Brundaban Sahu, Nov. 2008-Oct. 2010, UCD
SFI Postdoctoral Fellowship.
David Brink, August 2009-August 2010, UCD
Danish Research Fellowship
Math Links:
Algebra and Number Theory Group at UCD
UCD School of Mathematical Sciences
MPIM
IHES
Number Theory Web
Math ArXiv
Non-math Links:
ESPN
imdb
David Lynch
Tool
Scottish Country Dancing
Dublin
Dublin City Gallery
Irish Writers Centre
Dublin Marathon
Prague Marathon
JDIFF
Hyperdub