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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Fixed Point Neurons Nonlinear Dynamics Graph In Graph Theory Brain Synapses Topology Neuroscience Retinal Cone Photoreceptor Cells Attractor Graphics Calculi Neuron Neural Networks Neurosciences Completion Sound Signature Neural Network Linear Models Dynamic Neural Networks Linear Networks Synaptic Transmission Theorem Computer Neural Networks

Most Recent Publications

Carina Curto, Jesse Geneson, Katherine Morrison, 2024, Advances in Applied Mathematics

Katherine Morrison, Anda Degeratu, Vladimir Itskov, Carina Curto, 2024, SIAM Journal on Applied Dynamical Systems on p. 855-884

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

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

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

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

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

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

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

Katherine Morrison, Carina Curto, 2018, on p. 241-277

Carina Curto, Katherine Morrison, 2019, Current Opinion in Neurobiology on p. 11-20

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