## 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

Friday, February 26, 2021 — 2:30 PM EST

**Boyu Zhang, Princeton University**

"Several detection results of Khovanov homology on links"

Wednesday, February 24, 2021 — 11:00 AM EST

**Christopher Lang, Department of Pure Mathematics, University of Waterloo**

"The Many Faces of Monopoles"

In this talk, we introduce the four ways of looking at monopoles: solutions of the Bogomolny equations, Nahm data, spectral curves, and rational maps. We then discuss the relationships between these equivalent descriptions and some of the advantages and disadvantages of using them.

Monday, February 22, 2021 — 4:00 PM EST

**Andrew Granville, Université de Montréal**

"The Frobenius postage stamp problem and boundary turbulence"

Friday, February 12, 2021 — 2:30 PM EST

**Siqi He, Simons Center, Stony Brook**

"The compactness problem for the Hitchin-Simpson equations"

The Hitchin-Simpson equations defined over a Kähler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchin–Simpson equations with norms of these 1-forms unbounded. We will also discuss the deformation problem of Taubes' Z2 harmonic 1-form.

Thursday, February 11, 2021 — 11:00 AM EST

**Shay Fuchs, University of Toronto Mississauga**

"A Fun, Engaging, and Effective Approach to Teaching Calculus"

Wednesday, February 10, 2021 — 11:00 AM EST

**Ragini Singhal, Department of Pure Mathematics, University of Waterloo**

"Six dimensional nearly Kähler manifolds of Cohomogeneity one"

We will discuss a paper by Podesta-Spiro where the authors consider six-dimensional strict nearly Kähler manifolds acted on by a compact, cohomogeneity one automorphism group G. We will see how they classify the compact manifolds of this class up to G-diffeomorphisms.

Friday, February 5, 2021 — 2:30 PM EST

**Leandro Lichtenfelz, University of Pennsylvania**

"Smooth Fibrations of the 3-Sphere by Simple Closed Curves"

Wednesday, February 3, 2021 — 11:00 AM EST

**Caleb Suan, Department of Pure Mathematics, University of Waterloo**

"Pinching Estimates and Eigenvalues of Curvature Operators"

In this talk, we will go through various results from the paper “Curvature Operators: Pinching Estimates and Geometric Examples” by Bourguignon and Karcher, which relate bounds on sectional curvatures of manifolds to eigenvalues of curvature operators.

Zoom meeting: https://zoom.us/j/93324862932?pwd=dUdCMGJZL1A3UTBpOXVYNVROdHpKUT09

Monday, February 1, 2021 — 4:00 PM EST

**Bianca Viray, University of Washington**

"Isolated points on curves"

University 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

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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 centralized within our Office of Indigenous Relations.