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Welcome to the Department of Mathematics & Computer Science

Our computer science, mathematics and statistics faculty and instructors are top of the line, with credentials to rival other universities in and outside of Canada.

We offer Bachelor of Science undergraduate degrees in Applied Statistics, Computer Science and Mathematics. Both Master's and Doctoral levels of study are also available. Department faculty are currently working with students studying at each of these levels, many of whom are graduate students from around the world. Learn more about our majors and minors.

Undergraduate students may have opportunities to do research projects with our faculty, using modern facilities, for hands-on experience. Several department faculty have independent research programmes supported by agencies such as NSERC and IBM Canada, and at times, there may be a collaboration with other disciplines.

During this unique time in the world, the University of Lethbridge may be a bit restrictive for personal visits, so please take the time to "meet" our faculty and instructors via the buttons directly below. We think you'll see the Department of Mathematics & Computer Science offers a wide range of topics in each of our disciplines, and we're confident you will find something to appeal to your intellectual interests.

Department Highlights

Number Theory

Number Theory Seminar

LUCAS VILLAGRA TORCOMIAN
Simon Fraser University
 
Date:  Monday, February 24
Time:  12:15 - 1:15 pm
Room:  M1060 (Markin Hall)
 

Title:  Perfect powers as sum of consecutive powers

Abstract.
In 1770 Euler observed that 3^3 + 4^3 + 5^3 = 6^3 and asked if there was another
perfect power that equals the sum of consecutive cubes. This captivated the attention of many
important mathematicians, such as Cunningham, Catalan, Genocchi and Lucas. In the last
decade, the more general equation
x^k + (x+1)^k + ⋯ + (x+d)^k = y^n
began to be studied. In this talk we will focus on this equation. We will see some known results
and one of the most used tools to attack this kind of problems. At the end we wi ll show some
new results that appear in arXiv:2404.03457

Online registration:

https://uleth.zoom.us/meeting/register/LgCsGj1xSYq2GglegQTMNA

EVERYONE IS WELCOME!!

coding contest

Lethbridge Collegiate Programming Contest

March 1, 2025

12:00 - 3:00 pm

UHALL D519

Solve coding problems for prizes!

Pizza and drink are provided.

Click here to register:

https://www.cs.uleth.ca/~cheng/LCPC/2025/

Number Theory

Number Theory Seminar

PAUL PERINGUEY
University of British Columbia
 
Date:  Monday, March 3
Time:  12:15 - 1:15 pm
Room:  M1060 (Markin Hall)
 

Title: Refinements of Artin's primitive root conjecture

Abstract. 

Let ord_p(a) be the order of a in (Z/pZ)*. 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, Hooley proved this conjecture assuming the Generalized Riemann Hypothesis (GRH). In this talk, we will study the behavior of ord_p(a) as p varies over primes. In particular, we will show, under GRH, that the set of primes p for which ord_p(a) is "k prime factors away" from p - 1 has a positive asymptotic density among all primes except for particular values of a and k. We will interpret being "k prime factors away" in three different ways, namely k = ω((p- 1)/ord_p(a)), k = Ω((p - 1)/ord_p(a)), and k = ω(p - 1) - ω(ord_p(a)), and present conditional results analogous to Hooley's in all three cases and for all integer k. From this, we will derive conditionally the expectation for these quantities. Furthermore we will provide partial unconditional answers to some of these questions. This is joint work with Leo Goldmakher and Greg Martin.

Online registration:

https://uleth.zoom.us/meeting/register/LgCsGj1xSYq2GglegQTMNA

EVERYONE IS WELCOME!!

Shining Student Dev Khullar

Dev Khullar's time at ULethbridge proves the power of exploration and embracing change. From starting as a finance major to discovering his passion for mathematics and physics, Dev has dived headfirst into research …
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Shining Education Graduate Andrew Denton

An outdoorsman and math teacher, Andrew Denton believes that if you can't place yourself in an engaging learning environment, you must create one yourself. He now takes the next step in his …
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Shining Student David Neufeld

David Neufeld has been fascinated by technology since a very young age, and studying computer science seemed an obvious choice. At ULethbridge, he has had numerous opportunities to further his academic and professional …
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Career Bridge: Centre for Work-Integrated Learning and Career Development

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Career Bridge

Put Your Knowledge to Work

Whether you’re looking for a more in-depth learning experience by assisting with research projects on campus or by testing your knowledge in a real-life work setting, we can help! The University of Lethbridge is proud to offer you an exceptional opportunity to explore professional development through academic programs and services designed to give you a competitive edge in a fast-changing world.

You have a bright future — experience it via Career Bridge at uLethbridge!

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