News and events

  • Department of Mathematics and Statistics Colloquium Talk: Dr. Basil Nanayakkara

    Friday, August 09, 2024 | By

    The Department of Mathematics and Statistics invites students, faculty and staff to attend a talk given by Dr. Basil Nanayakkara on Thursday, August 22nd, 2024 from 2:00 PM to 3:00 PM. The talk is entitled Quaternion algebras and the Frobenius theorem – Part 2.

    For location room number, please email Neil Marshall (nmarshall@brocku.ca).

    Abstract:
    (This is a continuation of the seminar on July 25th. However, you will be able to understand this, even if you didn’t attend Part 1, as we will be discussing mainly the Frobenius theorem).

    Given a field k and nonzero elements a, b in k, we’ll construct a quaternion algebra over k associated with a and b. We’ll show that it is a central simple algebra, and hence determines an element in the Brauer group of k. Moreover, we’ll see that this quaternion algebra is a division algebra iff the norm function admits a nontrivial zero.

    A related result is the Frobenius theorem, which states that the finite dimensional division algebras over R are R, C and H only, thereby proving that the Brauer group of R is the cyclic group of order 2.

    The geometric counterpart of a quaternion algebra is a one-dimensional Brauer-Severi variety. If time permits, we’ll discuss this notion as well.

  • Congratulations to Pranath Pussella

    Monday, June 24, 2024 | By

    Earlier in June, Pranath Pusella a M.Sc. (Statistics) candidate in the Department of Mathematics and Statistics attended the 2024 Statistical Society of Canada (SSC) annual meeting in St. John’s, Newfoundland and Labrador. Pranath presented his recent work titled Simulation in Cricket: A Machine Learning Approach and was awarded a Honorable Mention for his presentation. The Department of Mathematics and Statistics would like to extend its congratulations
    to Pranath for his significant achievement at the conference.

    Below: An image of Pranath and his poster from the conference.

    Congratulations Pranath!

  • Congratulations to Dorothy Levay

    Wednesday, June 19, 2024 | By

    The Department of Mathematics and Statistics would like to congratulate Dorothy Levay, Instructor and Manager of Academic Support, who is the recipient of the 2024 Faculty of Mathematics and Science’s Distinguished Staff Award. Dorothy was recognized for her exceptional service beyond expected duties to enrich the experience of students across campus and her essential role in maintaining the operations of the department amid a period of great transition.

    Further details, including the recipients of other awardees given out by the Dean of the Faculty of Mathematics and Science this year, can be found in this Brock News Article.

    Congratulations Dorothy!

  • Siqin Zhao Masters Project Presentation Friday, June 14, 3:00 PM.

    Wednesday, June 05, 2024 | By

    Siqin Zhao, a Master of Science candidate in the Department of Mathematics and Statistics, will present their Masters Research Project (STAT 5P99) titled Review of Lapse and Reentry Behavior and Its
    Impact on the Design of Variable Annuities on Friday, June 14, 2024 from 3:00 pm – 4:00 pm online on Microsoft Teams.

    Students (both graduate and undergraduate) as well as other members of the Brock Community are invited to attend. If you are interested in the presentation, please contact Neil Marshall at nmarshall@brocku.ca for a link to the Team.

    Abstract: This project explores the role of Variable Annuities (VAs) and Registered Index-Linked Annuities (RILAs) within contemporary financial planning, emphasizing how they adapt to evolving market conditions. A comprehensive analysis of these products is provided, including their protective mechanisms, pricing models, and risk characteristics, to explain why they effectively meet investor needs. The evolution from traditional annuities to VAs is traced, and the further development of RILAs from VAs is discussed. The study particularly focuses on the behavior of policyholders who often choose to surrender their policies for more favorable options, thereby maximizing their benefits. Through qualitative and quantitative analysis, the paper illustrates how these products respond to market developments.

    Keywords: Variable Annuities, Registered Index-Linked Annuities, Policyholder Behavior, Insurance Product Design

  • Chuyun Guo Masters Project Presentation Thursday, June 13, 2:00 PM.

    Wednesday, June 05, 2024 | By

    Chuyun Guo, a Master of Science candidate in the Department of Mathematics and Statistics, will present her Masters Research Project (STAT 5P99) titled A Review of Life Insurance’s Secondary Market on Thursday, June 13, 2024 from 2:00 pm – 3:00 pm online on Microsoft Teams.

    Students (both graduate and undergraduate) as well as other members of the Brock Community are invited to attend. If you are interested in the presentation, please contact Neil Marshall at nmarshall@brocku.ca for a link to the Team.

    Abstract: The secondary market for life insurance policies emerged to provide financial relief for terminally ill patients through viatical settlements. It has expanded over time to include life settlements for seniors and individuals with chronic conditions, driven by demographic shifts and increased life expectancy. This market now plays a crucial role in financial planning, allowing policyholders to sell their life insurance policies for more than the cash surrender value. The study examines the historical evolution of the secondary market, the types of transactions, and the market dynamics. It explores the benefits and challenges for policyholders, insurance companies, and investors. While the market offers enhanced liquidity and fair compensation for policyholders, it also requires insurers to adjust premium structures and manage adverse selection. Investors gain high returns and diversification but face longevity risk, return volatility, and regulatory changes. The study highlights the complexities of asymmetric information and emphasizes the need for sophisticated actuarial models and robust regulatory frameworks to ensure market stability and sustainability.

    Keywords: The Secondary Market for Life Insurance Policies, Life Settlement, Viatical Settlement, Asymmetric Information, Adverse Selection

  • FMS Research Colloquium Series #4 Indigenous Mathematics: A Survival Kit (May 13 12 PM)

    Thursday, April 25, 2024 | By

    As part of the Faculty of Mathematics and Science Colloquium Series, Dr. Edward Doolitle, Associate Dean, Research and Associate Professor Mathematics in the Department of Indigenous Knowledge & Science, First Nations University of Canada has been invited to give a talk entitled Indigenous Mathematics: A Survival Kit. 

    Students, Faculty, Staff and members of the Brock Community are invited to join us on May 13th, 2024 from 12:00 PM – 1:00 PM in Rankin Family Pavilion room RFP (214/215), Everyone is welcome.

    Brock Community Members can register free with ExperienceBU -Doolittle

    Description:
    The fourth installment of the FMS Colloquium Series with Dr. Edward Doolittle Associate Dean, Research and Associate Professor, Mathematics, Department of Indigenous Knowledge & Science, First Nations University of Canada

    Serving as part four of the FMS Colloquium Series on the theme of The Anthropocene, Brock University is pleased to host Dr. Edward Doolittle who will present on Indigenous Mathematics: A Survival Kit.

    Edward Doolittle will speak about the mathematics that we can carry with us – not in books or journals – but in our own minds, perhaps with a small amount of material culture which can also be carried on the person. “It is mathematics consistent with Indigenous oral traditions, which might be appreciated by our ancestors before the Anthropocene, and also important again when the Anthropocene draws to a close,” said Doolittle.

    Speaker Biography:
    Edward Doolittle is Kanyen’kehake (Mohawk) from Six Nations in southern Ontario. He earned a PhD in pure mathematics (partial differential equations) from the University of Toronto in 1997. From then until 2001 he worked for Queen’s University’s Aboriginal Teacher Education Program, helping to administer the program and teaching Indigenous Mathematics Education, and from 2000 to 2001 he studied the Mohawk language in immersion with Onkwewenna Kentsyohkwa (Our Language Group) on Six Nations. From 2001 he has been on the faculty of First Nations University and the University of Regina, currently as Associate Professor of Mathematics and Associate Dean, Research. He is a recipient of a Governor General’s Gold Medal and of an honourable mention on the William Lowell Putnam Competition.

     

  • Seminar Series: Dr. Henryk Fukś Thursday, April 4th 1:00 PM – 2:00 PM

    Tuesday, April 02, 2024 | By

    As part of the Department of Mathematics and Statistics Seminar Series, Professor of Mathematics Henryk Fukś will present a lecture on the theme of the upcoming total solar eclipse, entitled “Solar and lunar cycles in the construction of the Gregorian Calendar.” Students, Faculty, Staff and members of the Brock community are invited to attend. The talk will take place in South Block, room STH 216 from 1:00 PM – 2:00 PM on Thursday, April 4th, 2024.

    Abstract
    On February 24, 1582, Pope Gregory XIII issued the bull “Inter gravissimas” introducing the new calendar, later called Gregorian. It is well known that the calendar reform corrected the average length of the year to make it closer to the astronomical solar year, but it is not so widely known that the Gregorian reform also corrected the way moon phases are calculated for the purpose of determining the day of Easter and for other liturgical purposes.

  • Seminar Series: Jianhua Hu Thursday, March 28th 2:00 PM – 3:00 PM

    Tuesday, March 26, 2024 | By

    The Department of Mathematics and Statistics invites students, faculty and staff to attend a seminar given by Jianhua Hu on Thursday, March 28th, 2024 from 2:00 PM to 3:00 PM. The talk is entitled Response best-subset selector for multivariate regression with high-dimensional response variables.

    For location room number, please email Neil Marshall (nmarshall@brocku.ca).

    Abstract:

    This talk is about investigating the statistical problem of response-variable selection with high-dimensional response variables and a diverging number of predictor variables with respect to the sample size in the framework of multivariate linear regression. A response best-subset selection model is proposed by introducing a 0-1 selection indicator for each response variable, and then a response best-subset selector is developed by introducing a separation parameter and a novel penalized least-squares function. The proposed procedure can perform response-variable selection and regression-coefficient estimation simultaneously, and the response best-subset selector has the property of model consistency under mild conditions for both fixed and diverging numbers of predictor variables. Also, consistency and asymptotic normality of regression-coefficient estimators are established for cases with a fixed dimension, and it is found that the Bonferroni test is a special response best-subset selector. Finite-sample simulations show that the response best-subset selector has strong advantages over existing competitors in terms of the Matthews correlation coefficient, a criterion that aims to balance accuracies for both true and false response variables. An analysis of real data demonstrates the effectiveness of the response best-subset selector in an application involving the identification of dosage-sensitive genes.

    This Seminar is part of the seminar series organized by the Department of Mathematics and Statistics

  • Department of Mathematics and Statistics Colloquium Talk: Dr. Basil Nanayakkara

    Thursday, January 25, 2024 | By

    The Department of Mathematics and Statistics invites students, faculty and staff to attend a talk given by Dr. Basil Nanayakkara on Thursday, February 1st, 2024 from 1:00 PM to 2:00 PM. The talk is entitled The Brauer group.

    For location room number, please email Neil Marshall (nmarshall@brocku.ca).

    Abstract:

    Let k be a field. The set of all isomorphism classes of finite dimensional central division algebras over k can be endowed with a group structure using the tensor product of k algebras. We will discuss this group, called the Brauer group Br(k) of k and its many ramifications/properties.

  • Madiha Ahmed Masters Thesis Defence Thursday, February 1st, 1:00 PM.

    Wednesday, January 24, 2024 | By

    Madiha Ahmed, a Master of Science (in Statistics) candidate in the Department of Mathematics and Statistics, will defend her M.Sc. Thesis titled Attention-Based Generative Model in Deep Evolutionary Learning: A Multi-Objective Approach to Multi-Target SMILES Fragment-Based Drug Design for Cancer on Thursday, February 1st, 2024 at 1:00 pm online on Microsoft Teams.

    Students (both graduate and undergraduate) as well as other members of the Brock Community are invited to attend. If you are interested in the presentation, please contact Neil Marshall at nmarshall@brocku.ca for the teams link.

    Abstract:

    Cancer remains a global health challenge, necessitating novel drug discovery methods. This graduate thesis introduces two innovative computational frameworks for multitarget drug design in cancer therapy firstly, by integrating Deep Evolutionary Learning (DEL) with a Transformer-based model. Departing from the traditional use of Variational Autoencoder (VAE), this research employs a Transformer-based generative model, capitalizing on its superior ability to capture long-range dependencies within molecular sequences to develop an understanding of the complex molecular grammar. Secondly, the research further evaluates the efficacy of a more granular fragmentation method than the one originally employed in DEL. These two proposed modifications of DEL: (i) Transformer-based model integrated in the original DEL framework and (ii) a fragmentation technique in finer granularity incorporated in the original DEL framework, are each evaluated and compared against the original DEL framework, the benchmark, in their molecular generative capabilities of targeting multiple proteins in cancer progression. In essence, the Transformer’s parallel processing capabilities enhance the drug design efficiency in terms of enhancing the diversity of novel and valid population samples produced and generating the highest-ranked novel molecule with the most optimal set of protein-ligand binding affinities. By optimizing the fragmentation technique, it is observed that it also performs well in maintaining a high novelty and validity of molecular compounds and interestingly, in drug design tasks involving specification of the off-targets, it produces a higher number of novel compounds that satisfy the objective thresholds compared to the benchmark. Overall, we believe that these are two groundbreaking approaches that can be explored for developing efficient cancer treatments, and can also offer potential solutions for other diseases requiring multi-target interventions.

    The examination committee includes Melanie Pilkington, Chair; S. Ejaz Ahmed and Yifeng Li, Co-Supervisors; Jinqiang Hou, External Examiner (Lakehead University); and Tianyu Guan and Betty Ombuki-Berman, Committee Members.

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