Study how to use math and computation to model science, engineering, social and biomedical problems, and learn the secrets of symmetry, form, number and shape.
SFU's Mathematics Department specializes in using a combination of today's computational tools and profound theory in leading-edge studies and critical application areas. Math students go on to careers as great problem solvers in business, computing, data and the sciences. Join us!
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December 19, 2024
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MacKenzie Carr and Sophie Burrill Awarded 2022-2023 Faculty of Science Excellence in Teaching Awards
December 18, 2024
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December 10, 2024
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November 26, 2024
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November 26, 2024
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7Mon
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5:15 pm – 7:15 pm (UTC)PhD Thesis Proposal - Mahdi Salehzadeh
PhD Thesis Proposal - Mahdi Salehzadeh
Monday, April 7, 5:15 pm – 7:15 pm (UTC)- Title
- Models of Life History Events Timing: Epidemiological, Eco-Evolutionary, and Stochastic Dynamics
- Supervisor
- Ailene MacPherson
- Committee
- John Stockie & Jessica Stockdale
- Location
- K9509
The timing of events plays a crucial role in understanding population dynamics and in developing realistic and informative predictions in fields such as epidemiology, ecology, and evolutionary biology. This thesis explores how different forms of event timing arise from biological processes that govern epidemiological, ecological, and evolutionary biology dynamics. The first project (chapter 3) examines how and to what extent delay-induced threshold impacts tree-killing bark beetle epidemic dynamics. The second project (chapter 4) addresses eco-evolutionary questions regarding highly variable and synchronized reproductive events, specifically exploring the selective pressures that influence discrete life histories such as seed masting. Finally, the third project (chapter 5) evaluates the fixation probability of seed-masting mutation in plants considering the effects of demographic and evolutionary stochasticity. Together, these studies establish a comprehensive theoretical framework for understanding event timing-driven dynamics in epidemiological, ecological, and evolutionary systems.
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24Thu
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4:00 pm – 6:00 pm (UTC)PhD Thesis Proposal - Shivaramakrishna Pragada
PhD Thesis Proposal - Shivaramakrishna Pragada
Thursday, April 24, 4:00 pm – 6:00 pm (UTC)- Title
- Graph Eigenvalues and Irreducible Graphs
- Supervisor
- Bojan Mohar & Ladislav Stacho
- Committee
- Matthew Devos
- Location
- K9509
For a fixed graph H, determining the maximum number of edges in an H-free graph is a central problem in extremal graph theory. Tuŕan’s theorem for Kr-free graphs is a classic result in this area. Later, spectral generalizations of Tuŕan’s Theorem were proposed and proved. Bollobás and Nikiforov (2007) conjectured that for any Kr+1-free graph G with two largest eigenvalues λ1 and λ2 of its adjacency matrix, we have λ21+ λ22≤ 2|E(G)|1 − 1r. We investigate this conjecture and its generalizations. The positive (negative) p-energy is the sum of p-th powers of positive (negative) eigenvalues of graph G. Recently, interesting connections have been established between the p-energy of graphs and its chromatic number. We propose and answer several questions concerning p-energy. A graph is said to be irreducible if the characteristic polynomial of its adjacency matrix is irreducible is over rational numbers. It is an old conjecture to show that characteristic polynomials of almost all graphs are irreducible are over Q. We study this and related questions.
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PhD Thesis Proposal - Shivaramakrishna Pragada
Thursday, April 24, 4:00 pm – 6:00 pm (UTC)
- Title
- Graph Eigenvalues and Irreducible Graphs
- Supervisor
- Bojan Mohar & Ladislav Stacho
- Committee
- Matthew Devos
- Location
- K9509
For a fixed graph H, determining the maximum number of edges in an H-free graph is
a central problem in extremal graph theory. Tuŕan’s theorem for Kr-free graphs is a classic
result in this area. Later, spectral generalizations of Tuŕan’s Theorem were proposed and
proved. Bollobás and Nikiforov (2007) conjectured that for any Kr+1-free graph G with two
largest eigenvalues λ1 and λ2 of its adjacency matrix, we have λ21+ λ22≤ 2|E(G)|1 − 1r.
We investigate this conjecture and its generalizations.
The positive (negative) p-energy is the sum of p-th powers of positive (negative) eigenvalues
of graph G. Recently, interesting connections have been established between the
p-energy of graphs and its chromatic number. We propose and answer several questions
concerning p-energy.
A graph is said to be irreducible if the characteristic polynomial of its adjacency matrix
is irreducible is over rational numbers. It is an old conjecture to show that characteristic
polynomials of almost all graphs are irreducible are over Q. We study this and related
questions.