## 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

Wednesday, August 17, 2016 — 10:00 AM EDT

**Russell Miller, Queens College - City University of New York**

*"*Hilbert's Tenth Problem for Subrings of the Rationals"

Monday, August 15, 2016 — 10:00 AM EDT

**Stanley Yao Xiao, Pure Mathematics, University of Waterloo**

*"*Some results on binary forms and counting rational points on algebraic varieties"

Friday, August 12, 2016 — 2:30 PM EDT

**Per Salberger, Chalmers University of Technology**

"Counting rational points on cubic curves"

We present a new uniform bound for the number of rational points of height at most B on non-singular cubic curves, which improves upon previous bounds of Ellenberg/Venkatesh and Heath-Brown/Testa.

M3 3103

Wednesday, August 10, 2016 — 3:30 PM EDT

**Arthur Mehta, Department of Pure Mathematics, University of Waterloo**

"Positivstellensatz and semi-pre-C*-algebras"

A positivstellensatz can loosely be described as a characterisation of elements *a* in an algebra *A* that are positive under a certain class of representations. In this talk we review some classical results regarding positive polynomials and then look at a series of Positivstellensatz that can be obtained by using the framework of semi-pre-C*-algebras.

MC 5501

Wednesday, August 10, 2016 — 11:00 AM EDT

**Jonathan Herman, Department of Pure Mathematics, University of Waterloo **

“The Marsden-Weinstein Theorem and Some Corollaries”

We will clean up the proof given last talk of the Marsden-Weinstein theorem. We will then prove both the Jacobi-Liouville theorem and the Krillov-Kostant-Souriau theorem as corollaries. Time permitting, we will introduce multi-momentum maps and their existence/uniqueness.

Thursday, August 4, 2016 — 10:30 AM EDT

**Satish Pandey, Department of Pure Mathematics, University of Waterloo **

“Positive maps continued”

Tuesday, August 2, 2016 — 4:30 PM EDT

**Ted Eaton, Combinatorics & Optimization, University of Waterloo**

"The quantum random oracle model"

In cryptography, a common task is to reduce the problem of breaking an encryption or digital signature scheme to some underlying hard computational problem. This is similar to how complexity theorists reduce problems to one another to show that they are in the same complexity class.

These reductions can often be established more easily by considering different security models. A common model to employ is called the random oracle model.

Tuesday, August 2, 2016 — 10:30 AM EDT

**Satish Pandey, Department of Pure Mathematics, University of Waterloo **

“Positive maps”

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.