Carina Curto
Professor of Mathematics
- 331 McAllister
- ccurto@psu.edu
- (814) 863-9119
Research Summary
Mathematics applied to and arising from theoretical and computational neuroscience. Neural network theory and neural coding. Applied algebra, topology, and geometry.
Huck Affiliations
Links
Publication Tags
These publication tags are generated from the output of this researcher. Click any tag below to view other Huck researchers working on the same topic.
Fixed Point Neurons Nonlinear Dynamics Graph In Graph Theory Brain Synapses Topology Calcium Neuroscience Theorem Retinal Cone Photoreceptor Cells Signature Attractor Graphics Calculi Neuron Neural Networks Neurosciences Completion Neural Networks (Computer) Symmetric Matrix Synaptic Transmission Linear Networks Curve CalmodulinMost Recent Publications
Stable fixed points of combinatorial threshold-linear networks
Carina Curto, Jesse Geneson, Katherine Morrison, 2024, Advances in Applied Mathematics
Graph Rules for Recurrent Neural Network Dynamics
Carina Curto, Katherine Morrison, 2023, Notices of the American Mathematical Society on p. 536-551
Graph rules for recurrent neural network dynamics: extended version
Carina Curto, K Morrison, 2023, arXiv preprint arXiv:2301.12638
Sequential Attractors in Combinatorial Threshold-Linear Networks
Caitlyn Parmelee, Juliana Alvarez, Carina Curto, K Morrison, 2022, SIAM Journal on Applied Dynamical Systems on p. 1597--1630
Periodic neural codes and sound localization in barn owls
Lindsey S. Brown, Carina Curto, 2022, Involve on p. 1-37
Core motifs predict dynamic attractors in combinatorial threshold-linear networks
Caitlyn Parmelee, Samantha Moore, K Morrison, Carina Curto, 2022, PLoS One on p. e0264456
Nerve theorems for fixed points of neural networks
Daniela Santander, Stefania Ebli, Alice Patania, Nicole Sanderson, Felicia Burtscher, K Morrison, Carina Curto, 2022, on p. 129--165
Sequence generation in inhibition-dominated neural networks
Caitlyn Parmelee, Juliana Alvarez, Carina Curto, K Morrison, 2022, arXiv preprint arXiv:2212.08211
Nerve Theorems for Fixed Points of Neural Networks
Daniela Egas Santander, Stefania Ebli, Alice Patania, Nicole Sanderson, Felicia Burtscher, Katherine Morrison, Carina Curto, 2022, on p. 129-165
Betti Curves of Rank One Symmetric Matrices
Carina Curto, Joshua Paik, Igor Rivin, 2021, on p. 645-655
Most-Cited Papers
Clique topology reveals intrinsic geometric structure in neural correlations
Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov, 2015, Proceedings of the National Academy of Sciences of the United States of America on p. 13455-13460
What can topology tell us about the neural code?
Carina Curto, 2017, Bulletin of the American Mathematical Society on p. 63-78
What makes a neural code convex?
Carina Curto, Elizabeth Gross, Jack Jeffries, Katherine Morrison, Mohamed Omar, Zvi Rosen, Anne Shiu, Nora Youngs, 2017, SIAM Journal on Applied Algebra and Geometry on p. 222-238
Calmodulin enhances ribbon replenishment and shapes filtering of synaptic transmission by cone photoreceptors
Matthew J. van Hook, Caitlyn M. Parmelee, Minghui Chen, Karlene M. Cork, Carina Curto, Wallace B. Thoreson, 2014, Journal of General Physiology on p. 357-378
Fixed points of competitive threshold-linear networks
Carina Curto, Jesse Geneson, Katherine Morrison, 2019, Neural Computation on p. 94-155
Modeling and measurement of vesicle pools at the cone ribbon synapse: Changes in release probability are solely responsible for voltage-dependent changes in release
Wallace B. Thoreson, Matthew J. Van hook, Caitlyn Parmelee, Carina Curto, 2016, Synapse on p. 1-14
Pattern completion in symmetric threshold-linear networks
Carina Curto, Katherine Morrison, 2016, Neural Computation on p. 2825-2852
Predicting Neural Network Dynamics via Graphical Analysis
Katherine Morrison, Carina Curto, 2018, on p. 241-277
Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience
Carina Curto, Katherine Morrison, 2019, Current Opinion in Neurobiology on p. 11-20
Algebraic signatures of convex and non-convex codes
Carina Curto, Elizabeth Gross, Jack Jeffries, Katherine Morrison, Zvi Rosen, Anne Shiu, Nora Youngs, 2019, Journal of Pure and Applied Algebra on p. 3919-3940
News Articles Featuring Carina Curto
Jun 29, 2020
Penn State faculty members express concerns regarding university’s fall reopening plan
While Penn State faculty and staff feel a return to in-person instruction will benefit students academically, it may not be worth the health risks posed by the coronavirus.
Full Article
Apr 21, 2020
The Theorem That Applies to Everything from Search Algorithms to Epidemiology
On a recent episode of our podcast My Favorite Theorem, my cohost Kevin Knudson and I talked with Carina Curto, a mathematician at Penn State University who specializes on mathematics applied to biology and neuroscience. You can listen to the episode here or at kpknudson.com, where there is also a transcript.
Full Article