Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
We will discuss some existence results for complete Calabi-Yau metrics on crepant resolutions of singularities, and use these results to give simple examples of ALF Ricci-flat manifolds.
Abstract - n/a
In this talk I will give a brief overview of a known approach to the ABC conjecture using modular forms. Then I will explain how this approach actually gives a partial result for the ABC conjecture and Szpiro’s conjecture. As a consequence, we will obtain a new effective proof of the finiteness of solutions to the S-unit equation, which does not involve linear forms in logarithms. This is joint work with Ram Murty.
For every positive, decreasing, summable sequence $a = (a_i)$, we can
construct a Cantor set $C_a$ associated with $a$. These Cantor sets
are not necessarily self-similar. Their dimensional properties and
measures have been studied in terms of the sequence $a$.
In this thesis, we extend these results to a more general collection
Abstract: See title.
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within our Office of Indigenous Relations.