An invitation to low-dimensional topology  |
Org: Adam Clay (University of Manitoba) and Patrick Naylor (McMaster University) |
The purpose of this session is for researchers to motivate and introduce the question(s) driving current research and recent progress in their area of specialization. Questions that can be understood by a broad audience in low-dimensional topology, and which have the potential to lead to new collaborations across sub-disciplines within the field, are particularly welcome. |
|
Combinatorial Algebraic Geometry  |
Org: Megumi Harada and Brett Nasserden (McMaster University) |
Combinatorial Algebraic Geometry is a subfield of algebraic geometry which studies the many families of algebraic varieties arising in commutative algebra, representation theory, mathematical physics, and other fields, which have an explicit combinatorial structure. Toric varieties and Schubert varieties are traditionally the most prominent examples. However, many other spaces, such as the moduli space of curves and the Hilbert scheme of points, lie within this conceptual framework. |
|
Combinatorial Design Theory  |
Org: Alice Lacaze-Masmonteil (University of Regina) and David Pike (Memorial University of Newfoundland) |
In the 18th century, several seemingly innocuous scheduling problems were proposed, often in the form of a puzzle. These problems were ultimately solved using tools and theoretical approaches that now lie in what is known as combinatorial design theory. Since then, this area of mathematics has seen tremendous growth in the diversity of designs, constructions, and applications that it encompasses. The purpose of this session is to showcase recent results in topics such as classical designs, cycle systems, graph decompositions, Latin squares and other aspects of design theory. |
|
Commutative Algebra  |
Org: Giulia Gaggero and Adam Van Tuyl (McMaster University) |
Not only does commutative algebra contribute to the algebraic side of algebraic geometry, commutative algebra has connections to areas such combinatorics, approximation theory, algebraic statistics, coding theory, and physics, among others. The goal of this session is to bring together Canadian mathematicians and colleagues from around the world to discuss recent progress in commutative algebra. |
|
Mathematical Finance  |
Org: Christoph Frei and Alexander Melnikov (University of Alberta) |
This session will feature recent advances in mathematical finance, including topics such as asset pricing, risk management, market microstructure, and systemic risk. Emphasis will be placed on the development and application of stochastic, optimization-based, and machine learning methods in finance and insurance. |
|
Number Theory by Early Career Researchers  |
Org: Jérémy Champagne and Zhenchao Ge (University of Waterloo) |
This session provides a platform for early-career researchers, including PhD students nearing graduation, recent PhD graduates and postdoctoral fellows, to present their work in number theory. With contributions spanning algebraic and analytic number theory, as well as arithmetic geometry and other related topics, we aim to foster collaboration, exchange ideas and offer a space for networking. This is an excellent opportunity for young researchers to gain visibility and engage with the broader number theory community. |
|
Progress in differential equations and their applications in mathematical biology  |
Org: Elena Braverman (University of Calgary) and Kunquan Lan (Toronto Metropolitan University) |
The session is devoted to recent progress in the areas of ordinary, partial, and fractional differential equations and their application in mathematical biology. A focus will be on the qualitative behaviour of such equations, together with applied models described by differential equations in population dynamics, analysis of spread of infectious diseases, cell biology. |
|
Quantum Error Correction and Related Topics  |
Org: David Kribs and Rajesh Pereira (University of Guelph) |
Quantum error correction (QEC) is a central topic in quantum information science, now touching on almost every aspect of the field, ranging from theoretical to experimental investigations and in recent years as a key facet in the development of new quantum technologies. This session will explore recent developments in QEC with an emphasis on mathematical aspects of the subject. Related topics in which QEC techniques and tools have arisen will also be explored. |
|
Recent Developments in Complex Analysis and Geometry  |
|
Recent progress in convex and discrete geometry  |
Org: Ferenc Fodor (University of Szeged, Hungary and University of Calgary, Canada) and Alina Stancu (Concordia University, Canada) |
This session will bring together leading researchers and emerging scholars to explore the latest advances in the theory and applications of convex geometry, discrete structures, and their rich interplay. Topics will include new results in the Brunn–Minkowski theory, geometric inequalities, phenomena in high dimensions, classical problems in discrete and combinatorial geometry, and computational aspects of convex bodies. Our goal is to foster collaboration and inspire novel research directions by providing a vibrant platform for exchanging ideas within the Canadian and international mathematical communities. |
|
Set theory and its applications  |
Org: Spencer Unger (University of Toronto) and Andy Zucker (University of Waterloo) |
The session will bring together a group of researchers working in the diverse area of applications of set theory to other areas of mathematics |
|
Topology  |
Org: Hans Boden (McMaster University) and Chris Kapulkin (Western University) |
The tools and language of topology have found applications in virtually every other field of mathematics and beyond, including areas as disparate as: theoretical computer science, data analysis, and quantum field theory. This session aims to bring together a diverse group of researchers working in different branches of topology, including: algebraic topology, geometric topology, homotopy theory, gauge theory, low-dimensional topology, knot theory, geometric group theory, symplectic and contact topology, and topological data analysis. The session would provide them an opportunity to present their latest advances in their fields. |
|
Variational Analysis: Theory and Applications  |
Org: Heinz Bauschke (University of British Columbia) and Walaa Moursi (University of Waterloo) |
Variational Analysis lies at the heart of modern optimization and underlies the convergence analysis of several algorithms. The purpose of this session is to bring together selected experts from the Northamerican optimization and analysis communities to exchange ideas and present new results. |