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
Neurons Brain Fixed Point Nonlinear Dynamics Synapses Neuron Topology Ring Graph In Graph Theory Neurosciences Calcium Information Theory Theorem Retinal Cone Photoreceptor Cells Signature Neuroscience Neural Networks Encoding Calculi Completion Threefolds Calmodulin Symmetric Matrix Code HomomorphismMost Recent Publications
Core motifs predict dynamic attractors in combinatorial threshold-linear networks
Caitlyn Parmelee, Samantha Moore, Katherine Morrison, Carina Curto, 2022, PLoS One
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
Periodic neural codes and sound localization in barn owls
Lindsey S. Brown, Carina Curto, 2022, Involve on p. 1-37
Sequential Attractors in Combinatorial Threshold-Linear Networks
Caitlyn Parmelee, Juliana Londono Alvarez, Carina Curto, Katherine Morrison, 2022, SIAM Journal on Applied Dynamical Systems on p. 1597-1630
Betti Curves of Rank One Symmetric Matrices
Carina Curto, Joshua Paik, Igor Rivin, 2021, on p. 645-655
Neural Ring Homomorphisms and Maps Between Neural Codes
Carina Pamela Curto, Nora Youngs, 2020, on p. 163-180
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
Fixed points of competitive threshold-linear networks
Carina Curto, Jesse Geneson, Katherine Morrison, 2019, Neural Computation on p. 94-155
Analysis of Combinatorial Neural Codes: An Algebraic Approach
Carina Curto, Alan Veliz-Cuba, Nora Youngs, 2019, ALGEBRAIC AND COMBINATORIAL COMPUTATIONAL BIOLOGY on p. 213-240
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
The Neural Ring: An Algebraic Tool for Analyzing the Intrinsic Structure of Neural Codes
Carina Curto, Vladimir Itskov, Alan Veliz-Cuba, Nora Youngs, 2013, The Bulletin of Mathematical Biophysics on p. 1571-1611
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
Combinatorial neural codes from a mathematical coding theory perspective
Carina Curto, Vladimir Itskov, Katherine Morrison, Zachary Roth, Judy L. Walker, 2013, Neural Computation on p. 1891-1925
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
Encoding binary neural codes in networks of threshold-linear neurons
Carina Curto, Anda Degeratu, Vladimir Itskov, 2013, Neural Computation on p. 2858-2903
Pattern completion in symmetric threshold-linear networks
Carina Curto, Katherine Morrison, 2016, Neural Computation on p. 2825-2852
Threefold flops via matrix factorization
Carina Curto, David R. Morrison, 2013, Journal of Algebraic Geometry on p. 599-627
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