Institutes, Centres and Groups

A group of mathematicians with a shared interest in automorphic representations and a predilection for algebraic geometry.

The Calgary Number Theory Research Group group is comprised of eight faculty members in mathematics and computer science supporting a sizable group of postdocs, graduate students and undergraduates. We are currently hosting the PIMS collaborative research group on explicit methods for abelian varieties. Previously, we were part of the PIMS collaborative research group on L-functions and number theory. Several team members are also actively involved in or affiliated with the Institute for Security, Privacy and Information Assurance (ISPIA).

The group meets once a week for number nosh where we bring and eat our lunch, talk about math and other things, or have informal seminar presentations. We host and participate in several seminars and working groups, some of them shared via video-conferencing with the number theory groups at the University of British Columbia, Simon Fraser University, the University of Lethbridge, and other institutions in and outside Canada. Every year, we gather with our fellow number theorists from all over the region for the Alberta Number Theory Days which are held annually on a spring weekend at the Banff International Research Station (BIRS). 

Our group hosted the 14^th meeting of the Canadian Number Theory Association (CNTA-XIV) which took place at the University of Calgary and included a special celebration of Professor Emeritus Richard Guy's 100^th birthday. The CNTA meetings are among the largest number theory conferences worldwide. The event was preceded by a graduate summer school.

We welcome applications from strong prospective graduate students.

Research faculty:

• Mark Bauer - algebraic and computational number theory, diophantine equations, cryptography
• Clifton Cunningham - algebraic and arithmetic geometry, Langlands programme
• Richard Guy (emeritus) - elementary number theory, graph theory, combinatorial games
• Mike Jacobson (computer science) - computational number theory, cryptography
• Matt Greenberg - algebraic number theory, p-adic L-functions
• Khoa Nguyen - arithmetic dynamics, diophantine geometry
• Renate Scheidler - algorithmic number theory, cryptography
• Hugh Williams (emeritus) - computational number theory

The Centre for Computational and Discrete Geometry (CCDG) is the leading Canadian research centre in the areas of discrete geometry, computational geometry, combinatorics including graph theory, optimization and their applications. The research being performed at the centre is highly interdisciplinary and areas of application outside of mathematics include computer science, global information systems, robot motion-planning, crystallography and radiology. The centre houses a number of preeminent mathematicians including the director, Karoly Bezdek, and Ted Bisztriczky. Since its inception, CCDG has been at the heart of the departmental research. Research is supported by several external funding bodies such as the Canada Research Chairs Program, Natural Sciences and Engineering Research Council of Canada (NSERC) and Canada Foundation for Innovation. Furthermore, the graduate students at CCDG have been highly successful in prestigious scholarship and award competitions and are currently funded by Vanier Canada Graduate Scholarship, Izaak Walton Killam Pre-Doctoral Scholarship and NSERC.

Faculty members:

• Karoly Bezdek
• Ted Bisztriczky
• Michael Cavers
• Thi Dinh
• Ferenc Fodor
• Marina Gavrilova
• Richard Guy
• Claude Laflamme
• Joseph Ling
• Bill Sands
• Norbert Sauer
• Jonathan Schaer
• Karen Seyffarth
• Robert Woodrow
• Yuriy Zinchenko

Doctoral students:

• Pooyan Shirvani Ghomi
• Maximiliano Liprandi
• Muhammad Ali Khan
• Ryan Trelford

The Institute for Quantum Science and Technology is a multidisciplinary group of researchers from the areas of computer science, mathematics, chemistry and physics. The goals of Calgary's Institute for Quantum Science and Technology are to conduct leading research in key theoretical and experimental topics of quantum science and technology, to provide excellent education and training in quantum science and technology and cognate areas, and to foster linkage between the institute and other quantum science and technology institutes and with industrial partners.

ISPIA is a multi-disciplinary research centre at the University of Calgary devoted to the research and development of security and privacy within information communication systems. ISPIA research focuses on the design, evaluation, and implementation of cryptographic algorithms and protocols. It also researches the design and development of security architectures and systems for information communication and real-life applications. ISPIA members include researchers in mathematics, computer science, engineering, physics, history, and law, and professionals in the information security and law enforcement sectors.

ISPIA's research includes a broad spectrum of areas ranging from theoretical cryptography and quantum information science to software security, malicious code, network and operating systems security, and technical and legal issues surrounding privacy and digital rights. Our work incorporates abstract theory, large-scale hardware and software simulation, prototyping and development of special purpose hardware.

ISPIA members coordinate and offer courses in security in the Faculty of Science. ISPIA organizes and conducts outreach activities to build partnerships with industry, government and local community. ISPIA provides consultancy in the areas of information security and cryptography.

The Mathematical and Computational Finance Laboratory is a centre for research, training and technology development in mathematical finance, with particular emphasis on energy markets, working with academic and industrial partners to serve the needs of the community.

The Pacific Institute for the Mathematical Sciences (PIMS) was created in 1996 by the community of mathematical scientists in Alberta and British Columbia, and subsequently extended to both Washington state and Saskatchewan. Our mandate is to promote research in and applications of the mathematical sciences, to facilitate the training of highly qualified personnel, to enrich public awareness of and education in the mathematical sciences, and to create mathematical partnerships with similar organizations in other countries (with a particular focus on the Pacific Rim). PIMS funds collaborative research groups, post-doctoral fellowships and individual events on a competitive basis.

POTSI brings together mathematicians, geophysicists and image specialists to build improved seismic imaging algorithms based on pseudodifferential operator theory and other advanced mathematical analysis techniques.

The Research Group in Biostatistics is a diverse and active group that includes researchers and students with methodological and applied interests in the medical, health, biological and social sciences.