Serre's Property (FA) for automorphism groups of free products
Andrew, N
(16 Jul 2019)
http://arxiv.org/abs/1907.07022v1
A Bass--Serre theoretic proof of a theorem of Burns and Romanovskii
Andrew, N
(06 Jul 2021)
http://arxiv.org/abs/2107.02548v1
Centralisers of linear growth automorphisms of free groups
Andrew, N
Martino, A
(25 May 2022)
http://arxiv.org/abs/2205.12865v2
Free-by-cyclic groups, automorphisms and actions on nearly canonical
trees
Andrew, N
Martino, A
(04 Jun 2021)
http://arxiv.org/abs/2106.02541v2
trees
Torsion homology growth of polynomially growing free-by-cyclic groups
Andrew, N
Hughes, S
Kudlinska, M
Rocky Mountain Journal of Mathematics
volume 54
issue 4
933-941
(25 Aug 2024)
Serre's Property (FA) for automorphism groups of free products
Andrew, N
JOURNAL OF GROUP THEORY
volume 24
issue 2
385-414
(2021)
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000643282500009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Free-by-cyclic groups, automorphisms and actions on nearly canonical trees
Andrew, N
Martino, A
Journal of Algebra
volume 604
451-495
(01 Aug 2022)
A Bass-Serre theoretic proof of a theorem of Romanovskii and Burns
Andrew, N
Communications in Algebra
volume 51
issue 5
2004-2013
(08 Dec 2022)
Identifying psychiatric diagnosis from missing mood data through the use of log-signature features
Wu, Y
Goodwin, G
Lyons, T
Saunders, K
PLoS ONE
volume 17
issue 11
(17 Nov 2022)
Fri, 10 Feb 2023
16:00
16:00
L1
Departmental Colloquium
Dani Smith Bassett
(University of Pennsylvania)
Further Information
Title: “Mathematical models of curiosity”
Prof. Bassett is the J. Peter Skirkanich Professor at the University of Pennsylvania, with appointments in the Departments of Bioengineering, Electrical & Systems Engineering, Physics & Astronomy, Neurology, and Psychiatry. They are also an external professor of the Santa Fe Institute. Bassett is most well-known for blending neural and systems engineering to identify fundamental mechanisms of cognition and disease in human brain networks.
Abstract
What is curiosity? Is it an emotion? A behavior? A cognitive process? Curiosity seems to be an abstract concept—like love, perhaps, or justice—far from the realm of those bits of nature that mathematics can possibly address. However, contrary to intuition, it turns out that the leading theories of curiosity are surprisingly amenable to formalization in the mathematics of network science. In this talk, I will unpack some of those theories, and show how they can be formalized in the mathematics of networks. Then, I will describe relevant data from human behavior and linguistic corpora, and ask which theories that data supports. Throughout, I will make a case for the position that individual and collective curiosity are both network building processes, providing a connective counterpoint to the common acquisitional account of curiosity in humans.