Events - Department of Mathematics

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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Special Colloquium/Candidate Presentation: Invasion and fixation in structured populations

Event Type
wifi event
Jan 18, 2022   4:00 pm  
Alex McAvoy (University of Pennsylvania)
Zoi Rapti

Abstract: In evolving populations, mutant traits can establish colonies through a combination of selection and genetic drift. A common measure of the evolutionary success of such a trait is its fixation probability, which quantifies how likely a mutant is to invade and replace the resident type. In this talk, I will discuss several existing approaches to calculating fixation probabilities, as well as the difficulties that arise in computing them in spatially-heterogeneous populations. This leads naturally to recent work on formal mathematical models of evolving populations with arbitrary population structure. I will conclude with a general result on fixation probabilities within this class of models, which both recovers many known findings and allows for new extensions.

The research of Dr. McAvoy is in Evolutionary Game Theory and Stochastic Processes, with interests in stochastic evolution, learning in populations and mutation-selection dynamics. Dr. McAvoy graduated from the University of British Columbia in 2016 with a PhD in mathematics, then held a postdoctoral position at Harvard University and currently is a Simons Postdoctoral Fellow at the University of Pennsylvania.

To schedule a time to meet with Dr. McAvoy or join us for a virtual lunch, please fill out the following google document:

Presentation Link:

Meeting ID: 828 3760 1654

Password: 590018

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