Carina Curto

Professor of Mathematics

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

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Neurons Brain Fixed Point Synapses Nonlinear Dynamics Neuron Ring Topology Graph In Graph Theory Calcium Information Theory Retinal Cone Photoreceptor Cells Theorem Neural Networks Neuroscience Encoding Calculi Completion Symmetric Matrix Linear Models Linear Networks Homomorphism Curve Computer Neural Networks Neural Network

Most Recent Publications

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

Caitlyn Parmelee, Juliana Alvarez, Carina Curto, K Morrison, 2022, SIAM Journal on Applied Dynamical Systems on p. 1597--1630

Daniela Santander, Stefania Ebli, Alice Patania, Nicole Sanderson, Felicia Burtscher, K Morrison, Carina Curto, 2022, on p. 129--165

Lindsey S. Brown, Carina Curto, 2022, Involve on p. 1-37

Caitlyn Parmelee, Samantha Moore, K Morrison, Carina Curto, 2022, PLoS One on p. e0264456

Sequence generation in inhibition-dominated neural networks

Caitlyn Parmelee, Juliana Alvarez, Carina Curto, K Morrison, 2022, arXiv preprint arXiv:2212.08211

Daniela Egas Santander, Stefania Ebli, Alice Patania, Nicole Sanderson, Felicia Burtscher, Katherine Morrison, Carina Curto, 2022, on p. 129-165

Carina Curto, Joshua Paik, Igor Rivin, 2021, on p. 645-655

Carina Pamela Curto, Nora Youngs, 2020, on p. 163-180

Most-Cited Papers

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

Carina Curto, Vladimir Itskov, Alan Veliz-Cuba, Nora Youngs, 2013, The Bulletin of Mathematical Biophysics on p. 1571-1611

Carina Curto, 2017, Bulletin of the American Mathematical Society on p. 63-78

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

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

Carina Curto, Vladimir Itskov, Katherine Morrison, Zachary Roth, Judy L. Walker, 2013, Neural Computation on p. 1891-1925

Carina Curto, Jesse Geneson, Katherine Morrison, 2019, Neural Computation on p. 94-155

Carina Curto, Anda Degeratu, Vladimir Itskov, 2013, Neural Computation on p. 2858-2903

Carina Curto, Katherine Morrison, 2016, Neural Computation on p. 2825-2852