University of Calgary

The University of Calgary PIMS site office is located in the Mathematical Sciences Building at the University of Calgary (Map | Contact).

The Polya group P o ( K ) of a Galois number field K coincides with the subgroup of the ideal class group C l ( K ) of K consisting of all strongly ambiguous ideal classes. We prove that there are only finitely many imaginary abelian number fields K...

In 1966, Tate proposed the Artin–Tate conjectures, which expresses special values of zeta function associated to surfaces over finite fields. Conditional on the Tate conjecture, Milne–Ramachandran formulated and proved similar conjectures for smooth...

TBA

Please refer to the Main Event Site for the most updated information Call for Sessions The event is accepting proposals for research sessions held on May 1, 2025 and teaching sessions held on May 2, 2025. To submit a session proposal, please fill out...

Let ord p ( a ) be the order of a in ( Z / p Z ) ∗ . In 1927, Artin conjectured that the set of primes p for which an integer a ≠ − 1 , ◻ is a primitive root (i.e. ord p ( a ) = p − 1 ) has a positive asymptotic density among all primes. In 1967...

Over the years, there have been several open problems involving polynomials that I would love to tell others about. This opportunity to speak at my “home ground” seems the perfect time to do so. More specifically, I will discuss the following: A...

Embedding calculus is a powerful tool which is useful in making quantitative and qualitative conclusions about the topology of embedding spaces. In this talk, we will give a geometric description of the fiber of Emb ( M , M ) → T ∞ Emb ( M , M )...

Automorphic representations, which provide a vast generalization of modular forms, are are grouped together into so-called L-packets according to the L-functions they produce. From this point of view, automorphic representations give a kind of fine...

Abstract: Recently, Machine Learning (ML) approaches to data assimilation and modeling have been very successful in interpreting large amounts of data, such as human behavior prediction, marketing, etc. However, direct applications of machine...

Let E be an elliptic curve defined over ℚ. Let p > 3 be a prime such that p - 1 is not divisible by 3, 4, 5, 7, 11. In this article, we classify the groups that can arise as E(ℚ(ζp))tors up to isomorphism. The method illustrates techniques for...

In everybody’s first course in category theory, we learn that categories have two different flavours of morphism: 0-morphisms (which are categories themselves), 1-morphisms (which are functors), and 2-morphisms (which are natural transformations). In...

Given two elliptic curves, the path finding problem asks to find an isogeny (i.e. a group homomorphism) between them, subject to certain degree restrictions. Path finding has uses in number theory as well as applications to cryptography. For...

We describe parametrizations of rings that generalize the notions of monogenic rings and binary rings. We use these parametrizations to give better lower bounds on the number of number fields of degree n and bounded discriminant.

In this talk we will cover the mathematics behind a security system that is thought to be secure against quantum computer hacking; the Supersingular Ell Isogeny Cryptosystem. Specifically the Supersingular Ell Isogeny Graph. This abstract object is...

Staff

Position	Name	Email	Phone #	Office
University of Calgary, Education Coordinator	Armando Preciado Babb	apprecia@ucalgary.ca	+1 (403) 220-5277	Education Tower 834
Co-Director Industrial	Kristine Bauer	industry@pims.math.ca	+1 (403) 220-7675	MS 578
PIMS UCalgary Site Administrator	Melissa Wrubleski	mwrubles@ucalgary.ca	(403) 220-5210	Mathematical Sciences 476
University of Calgary	Wenyuan Liao	wliao@ucalgary.ca	+1 (403) 220-3946	Mathematical Sciences 530

Name	Position	Research Interests	Supervisor	Year
Antoine Leudière	PIMS Postdoctoral Fellow, University of Calgary	Number Theory	Renate Scheidler	2024
Trisha Lawrence	PIMS Postdoctoral Fellow, University of Calgary	Probability Theory & Spatio-Temporal Processes	Deniz Sezer	2024
Gregory Knapp	PIMS Postdoctoral Fellow, University of Calgary	Number Theory	Khoa Dang Nguyen	2023
Cintia Pacchiano	PIMS Postdoctoral Fellow, University of Calgary	Partial Differential Equations	Cristian Rios	2022
Jordan Culp	University of Calgary	Cell Biology & Anatomy	Wilten Nicola	2021
Thomas Theurer	University of Calgary	Quantum Theory	Gilad Gour	2021
Kexue Zhang	Postdoctoral Researcher, University of Calgary	Systems theory, control	Elena Braverman	2020
Sacha Ikonicoff	University of Calgary	Algebraic operads	Kristine Bauer	2020
Hui Huang	University of Calgary	Partial differential equations	Jianniao Qiu	2019
Qing Zhang	University of Calgary	Number Theory	Clifton Cunningham	2018
Aurore Guillevic	University of Calgary	Discrete logarithm computation in large characteristic finite fields	Michael J. Jacobson Jr	2015
Dániel Tamás Soukup	University of Calgary	Mathematical logic and foundations, combinatorics	Claude Laflamme	2015
Ha Nguyen Thanh Tran	University of Calgary	Number Theory	Renate Scheidler	2015
Hoan Bui Dang	University of Calgary	Quantum Theory	Gilad Gour	2015
Khoa Lê	University of Calgary	Stochastics	Deniz Sezer	2015
Bin Xu	University of Calgary	Number theory, Topological groups, Lie groups	Clifton Cunningham	2014

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