Assistant Professor

I am a computational topologist and my research focus is to develop and apply new topological approaches to study complex systems. Currently, I apply these techniques to social and brain networks. I am a Principal Investigator of an R21 NIH grant on "Integrative Predictive Modeling of Alzheimer's Disease" for which I develop models for the joint analysis of genomics and neuroimaging data. On a daily basis, I work on mathematical modelling for brain networks and their dynamical processes. In 2021, I was selected to become a member of the inaugural cohort of external faculty at the Vermont Complex Systems Center (VCSC).

I obtained my Ph.D in Applied Mathematics at Politecnico di Torino with a dissertation titled: "Simplicial Data Analysis: theory, practice, and algorithms". During my PhD I worked at I.S.I. Foundation in Torino, where I was a part of the research group on "Mathematics and the foundation of complex systems" and studied the categorical conditions that allow the use of combinatorial structures, like graphs and simplicial complexes, in data analysis.

Publications

• " Choices in networks: a research framework  " - F. Feinberg, M. Braun, N. Fefferman, J. Helveston, B. Hemenway Falk, D. Lerramore, E. McDonnell, B. McShane, A. Patania, M. Small, E. Bruch. Marketing Letters (2020) 31(4):349-59

• "Networks beyond pairwise interactions: structure and dynamics" - F. Battiston, G. Cencetti, I. Iacopini, V. Latora, M. Lucas, A. Patania, J.-G. Young, G. Petri. Physics Reports (2020) 874 1-82.

• "Topological gene-expression networks recapitulate brain anatomy and function" - A. Patania, P. Selvaggi, M. Veronese, O. DiPasquale, P. Expert, G. Petri. Network Neuroscience (2019): 1-201

• "Navigating features: a topologically informed chart of electromyographic features space" - A. Phinyomark, R. N Khushaba, E. Ibánez-Marcelo, A. Patania, E. Scheme, G. Petri. Journal of The Royal Society Interface 14.137 (2017) p.20170734

• "Construction of and efficient sampling from the simplicial configuration model" - J.- G. Young, G.Petri, F.Vaccarino, A. Patania. Physical Review E 96 (2017) p.032312 (arXiv:1705.10298) 2

• "The shape of collaboration" - A. Patania, G. Petri, F. Vaccarino. EPJ Data Science (2017) 6(1), p.18

• "Topological Analysis of Data" - A. Patania, F. Vaccarino, G. Petri. EPJ Data Science (2017) 6(1), p.7

Areas of Expertise and/or Research

Topological Data Analysis, Computational Topology, Network Neuroscience, Network Science

Education

  • PhD in Applied Mathematics, Politecnico di Torino (2017)
  • M.Sc. in Mathematics, Universita' di Torino (2013)
  • B.Sc. in Mathematics, Universita' di Torino (2010)

Contact

Email:

apatania@uvm.edu

Office Location:

Innovation Hall E442

Website(s):
  1. Alice's Website