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
Past
seminars
Events:
University
of Cologne, June 9-14, 2013
Special
functions and special numbers, 60th birthday of Frits Beukers,
Utrecht, July 10-12, 2013
Analytic Theory of Automorphic Forms, Chennai, December 9-14, 2013
Curriculum
Vitae:
cv.pdf
Publications:
27. J. Lovejoy and R. Osburn, "Mixed
mock modular q-series",
submitted.
26. J. Lovejoy and R. Osburn, "On
two
10th order mock theta identities",
The Ramanujan Journal,
accepted for publication.
25. J. Lovejoy and R. Osburn, "q-hypergeometric
double sums as mock theta functions",
Pacific Journal of
Mathematics, accepted for publication.
24. R. Osburn and B. Sahu, "A
supercongruence for generalized Domb numbers",
Functiones et
Approximatio Commentarii Mathematici, 48, no. 1, (2013)
29-36.
23. J. Lovejoy and R. Osburn, "The
Bailey chain and mock theta functions",
Advances in Mathematics,
238 (2013) 442-458.
22. 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.
21. R. Osburn and B. Sahu, "Supercongruences
for Apéry-like numbers",
Advances in Applied
Mathematics, 47, no. 3, (2011) 631-638.
20. R. Osburn and B. Sahu, "Congruences
via modular forms",
Proceedings of the
American Mathematical Society, 139, no. 7, (2011)
2375-2381.
19.
J. Lovejoy and R. Osburn, "Quadratic
forms and four partition functions modulo 3",
Integers,
11, no. 1, (2011) 47-53.
18. 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.
17. J. Lovejoy and R. Osburn, "M2-rank
differences for overpartitions",
Acta Arithmetica, 144,
no. 2, (2010) 193-212.
16. 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.
15. K. Bringmann, J. Lovejoy, and R. Osburn, "Rank
and crank moments for overpartitions",
Journal of Number Theory,
129, (2009) 1758-1772.
14. 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.
13. R. Osburn and C. Schneider, "Gaussian
hypergeometric series and supercongruences",
Mathematics of
Computation, 78,
no. 265, (2009) 275-292.
12. D. McCarthy and R. Osburn, "A p-adic
analogue of a formula of Ramanujan",
Archiv der Mathematik,
91, no. 6, (2008) 492-504.
11. J. Lovejoy
and R. Osburn, "Rank
differences for overpartitions",
The Quarterly Journal of
Mathematics, 59, no. 2, (2008) 257-273.
10. R. Osburn, "Congruences
for traces of singular moduli",
The Ramanujan Journal,
14, no. 3, (2007) 411-419.
9. R. Murty and R. Osburn, "Representations
of integers by certain positive definite binary quadratic forms",
The Ramanujan Journal,
14, no. 3, (2007) 351-359.
8. 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.
7. P. Moree and R. Osburn, "Two-dimensional
lattices with few distances",
L'Enseignement
Mathématique, 52, (2006) 361-380.
6. 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.
5. R. Osburn, "A
remark on a conjecture of Borwein and Choi",
Proceedings of the
American Mathematical Society, 133, no. 10, (2005)
2903-2909.
4. R. Osburn, "Vanishing
of eigenspaces and cyclotomic fields",
International
Mathematics Research Notices, no. 20, (2005) 1195-1202.
3. R. Osburn, "A
note on 4-rank densities",
Canadian Mathematical
Bulletin, 47, (2004) 431-438.
2. R. Osburn and B. Murray, "Tame
kernels and further 4-rank densities",
Journal of Number Theory,
98, (2003) 390-406.
1. R. Osburn, "Densities
of 4-ranks of K_2(O)",
Acta Arithmetica,
102, (2002) 45-54.
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.
Tenure-track assistant professor
Texas Tech, starting September 2013.
Postdoctoral Fellows:
Marilyn Reece
Myers, Dec. 2007-Dec. 2009, UCD
IRCSET Postdoctoral Fellowship.
Tenure-track Assistant Professor
Calvin College, Michigan
Brundaban Sahu, Nov. 2008-Oct. 2010, UCD
SFI Postdoctoral Fellowship.
Tenure-track 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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