Faculty Directory
Marian Gidea

Marian
Gidea

Professor and Chair of Mathematics

PhD, SUNY at Buffalo, 1997
Master of Science, University of Bucharest, 1992

Marian Gidea joined Yeshiva University in New York City in 2013. He held previous appointments at the Mathematical Sciences Research Institute in Berkeley (research professor, 2018), the Institute for Advanced Study in Princeton (member, 2011-2013), Northeastern Illinois University (tenured professor, 2000-2013), Northwestern University (visiting assistant professor, 1999-2000), Loyola University Chicago (visiting assistant professor, 1997-1999).

Research interests: 

Dynamical Systems and its applications - including Celestial Mechanics, Mathematical Physics, Mathematical Biology, and Financial Mathematics -, and Topological Data Analysis.

Teaching experiences:

Introductory and advanced undergraduate mathematics courses, as well as graduate mathematics courses.

PhD Students and Postdocs:
Wai-Ting Lam (PhD student, current)
Maxwell Musser (PhD student, current)
Samuel Akingbade (PhD student, current)
Hongyu Cheng (MSRI Postdoc, 2018)
Jaime Burgos-Garcia (Postdoc, 2014-2015) 

Awards:

Dean Karen Bacon Faculty Award, 2019.

Research Professor, Mathematical Sciences Research Institute (MSRI), Berkeley, 2018.

Bernard J. Brommel Distinguished Research Award, Northeastern Illinois University, 2011.

Grants: 

National Science Foundation 

NASA - Jet Propulsion Laboratory

The Alfred P. Sloan Foundation 

China's High-End Foreign Expert Program

The National Institute of Health 

National Cancer Institute

Books:

"Differential Geometry and Topology: with a view to dynamical systems" (with K. Burns), CRC Press, 2005.

"Chaotic Dynamical Systems: An Introduction" (with C.P. Niculescu), Universitaria Press, Craiova, Romania, 2003.

Recent publications:

"A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results", (with R. de la Llave and T. Seara),  Communications on Pure and Applied Mathematics, 73, 2020.

"Topological recognition of critical transitions in time series of cryptocurrencies'', (with Y. Katz, P. Roldan, D. Goldsmith,Yo. Shmalo), Physica A, accepted, 2019.

"Llavefest: A Broad Perspective on Finite and Infinite Dimensional Dynamical Systems'', (Eds. Xavier Cabre, Amadeu Delshams, Marian Gidea and Chongchun Zeng),  Special Issue of Discrete and Continuous Dynamical Systems - A,  Vol. 38,   American Institute of Mathematical Sciences, 2018.

"Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations", (with R. de la Llave),  Journal of Nonlinear Science, 28 (5), 1657, 2018.

"Combinatorial approach to detection of fixed points, periodic orbits, and symbolic dynamics'' (with Yt. Shmalo), Discrete and Continuous Dynamical Systems - A, 38, 2018.

"Topological Data Analysis of Financial Time Series: Landscapes of  Crashes'' (with Y. Katz), Physica-A, 491, 2018.

"Perturbations of geodesic flows by recurrent dynamics'', (with R. de la Llave), Journal of the European Mathematical Society, 19, 2017.

Copies of these papers and others can be found on arXiv

Video lectures:

"Hamiltonian Instability via Geometric Method", Mathematical Sciences Research Institute, Berkeley, 2018.

"Diffusion along chains of normally hyperbolic cylinders", Institute for Advanced Study, Princeton, 2018.

"Application of Hamiltonian Instability and Diffusion", Institute for Pure and Applied Mathematics, Los Angeles, 2017.

"A geometric mechanism for Arnold diffusion in the a priori stable case", Banff International Research Station - Casa Matemática Oaxaca, Oaxaca, Mexico, 2015.

 

 

marian.gidea@yu.edu
646-592-4031

Beren campus - 215 Lexington Ave
Room#618

MEDIA RELATIONS

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Summer 2018
Honors Prog Senior Project II
MATH 4920H

 

Spring 2018
Differential Equations
MATH 2601

 

Differential Geometry
MAT 5250

 

Honors Prog Senior Project I
MATH 4910

 

Honors Prog Senior Project I
MATH 4910H

 

Honors Prog Senior Project II
MATH 4920

 

Honors Prog Senior Project II
MATH 4920H

 

Thesis Preparation
MAT 7705

 

Fall 2017
Honors Prog Senior Project I
MATH 4910

 

Honors Prog Senior Project I
MATH 4910H

 

Multivariable Calculus
MATH 1510

 

Selected Topics Seminar
MAT 5930

 

Thesis Preparation
MAT 7705

 

Topics: Computational Topology
MAT 5930

 

Summer 2017
Selected Topics Seminar
MAT 5930

 

Topics: Numerical Techniques
MAT 5930

 

Spring 2017
Differential Equations
MATH 2601

 

Graduate Seminar
MAT 5931

 

Mathematics of Finance
MAT 5901

 

Readings in Mathematics
MAT 6452