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:
K-Theory, Quadratic Forms and Number Theory Seminar
Events:
Hypergeometric series and their generalizations in algebra, geometry, number theory and physics, May 29 - June 1, 2012, Paris
CNTA XII, June 17-22, 2012, Alberta
Visiting Oregon State University, June 22-29, 2012
Algebraic K-theory and Arithmetic: Conference in honour of J. Hurrelbrink, July 22 - 28, 2012, Będlewo
Visting IHÉS, June 1 - July 31, 2012
Collaborative Number Theory Seminar, CUNY Graduate Center, September 7, 2012
Combinatorics/Partitions Seminar, Penn State, September 11, 2012
AMS Special Session on Harmonic Maass Forms and q-Series, October 27-28, 2012, Tucson
Emory Algebra and Number Theory Seminar, October 30, 2012
Ramanujan 125, New Delhi, December 17-22, 2012
27th Automorphic Forms Workshop, March 11-14, 2013, UCD
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.
J. Lovejoy and R. Osburn, "M2-rank differences for overpartitions",
Acta Arithmetica, 144, no. 2, (2010) 193-212.
H. Chan, A. Kontogeorgis, C. Krattenthaler and R. Osburn, "Supercongruences satisfied by coefficients of 2F1 hypergeometric series",
Annales des sciences mathématiques du Québec, 34, no. 1, (2010) 25-36.
J. Lovejoy and R. Osburn, "Quadratic forms and four partition functions modulo 3",
Integers, 11, no. 1, (2011) 47-53.
R. Osburn and B. Sahu, "Congruences via modular forms",
Proceedings of the American Mathematical Society, 139, no. 7, (2011) 2375-2381.
R. Osburn and B. Sahu, "Supercongruences for Apéry-like numbers",
Advances in Applied Mathematics, 47, no. 3, (2011) 631-638.
D. Brink, P. Moree, and R. Osburn, "Principal forms X^2 + nY^2 representing many integers",
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 81, no. 2, (2011) 129-139.
R. Osburn and B. Sahu, "A supercongruence for generalized Domb numbers", submitted.
J. Lovejoy and R. Osburn, "The Bailey chain and mock theta functions", submitted.
J. Lovejoy and R. Osburn, "q-hypergeometric double sums as mock theta functions", submitted.
J. Lovejoy and R. Osburn, "On two 10th order mock theta identities", submitted.
Graduate Students:
Stefan de Wannemacker, PhD 2006, UCD
(co-advisor: David Lewis).
Senior Researcher
iTec, K.U. Leuven, Kortrijk, Belgium
Dermot McCarthy, PhD, June 2010, UCD
Ad Astra Research Scholarship.
Visiting Assistant Professor
Texas A&M, starting September 1, 2010.
Postdoctoral Fellows:
Marilyn Reece Myers, Dec. 2007-Dec. 2009, UCD
IRCSET Postdoctoral Fellowship.
Assistant Professor
Calvin College, Michigan
Brundaban Sahu, Nov. 2008-Oct. 2010, UCD
SFI Postdoctoral Fellowship.
Assistant Professor
National Institute of Science Education and Research
Bhubaneswar, India
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
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