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

Brain Neurons Synapses Fixed Point Neuron Ring Topology Nonlinear Dynamics Graph In Graph Theory Neurosciences Calcium Information Theory Theorem Retinal Cone Photoreceptor Cells Signature Neuroscience Neural Networks Encoding Completion Homomorphism Sound Curve Threefolds Neural Network Linear Networks

Most Recent Publications

Caitlyn Parmelee, Samantha Moore, Katherine Morrison, Carina Curto, 2022, PLoS One

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

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

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

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

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

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

Predicting Neural Network Dynamics via Graphical Analysis

K Morrison, Carina Curto, 2019, ALGEBRAIC AND COMBINATORIAL COMPUTATIONAL BIOLOGY on p. 241-277

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

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

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

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

Wallace B. Thoreson, Matthew J. Van hook, Caitlyn Parmelee, Carina Curto, 2016, Synapse on p. 1-14

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

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

Carina Curto, David R. Morrison, 2013, Journal of Algebraic Geometry on p. 599-627