Seminar

Our seminar on Differential Equations and Nonlinear Analysis: we usually meet Tuesdays, 4:00 - 5:00pm in UH 2210, see details here
To speak at the seminar, contact Chunhua Shan at chunhua.shan@utoledo.edu or any of us.

Current students

graduate students:

Meetra Nouri (advisor: Ou)
Xueliang Lu (advisor: Ou)
Chanaka Kottegoda (advisors: Arsie and Shan)

undergraduate research projects:

Alex Peterson (Spring 2020) (advisor: Shemyakova)
Robinson Czajkowski (Fall 2019 -- Spring 2020) (advisor: Shemyakova)
Jacob Imre (Fall 2019 -- Spring 2020) (advisor: Shemyakova)

Past students

2019 Dr. Paduma Samarawickrama-Kuruppuge Eranga,
PhD thesis On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations , (advisor: Arsie),
now a senior lecturer at Department of Mathematics, University of Colombo, Sri Lanka

2018 Daniel Liu, undergraduate research project on the families of factorizations of differential operators acting on the algebra of densities, (advisor: Shemyakova),
now studies chemistry at University of Michigan

2015 Dr. Krishna Pokharel, PhD thesis: An Isospectral Flow for Complex Upper Hessenberg Matrices (advisor: Arsie),
now Assistant Professor at Young Harris College.

2014 Dr. Ramesh Karki, PhD thesis: Sobolev gradient semi-flows and applications to nonlinear problems (advisor: Arsie), now Assistant Professor at Indiana University East.

2012 Matthew Osborne, honors thesis (advisor: Arsie),
now a PhD student at Ohio State University.

2012 Dr. Douglas Oliver, M.Sc. thesis: Analysis of a Pseudo-Harmonic Tubular Bell (advisor: Arsie), now at Taylor University, Indiana.

Faculty

Events that we organize

June 5 - June 9, 2020 Special session on "Applications of dynamical systems in mathematical biology'', The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Atlanta, GA, USA. Organizers: Guihing Fan (Columbus State University), and Chunhua Shan.

March 30 - April 3, 2020 FIELDS workshop "Supergeometry and bracket structures in mathematics and physics", the Fields Institute, Canada. Organizers: Ekaterina Shemyakova, Alexander Odesski (Brock, Canada), Theodore Voronov (Manchester, UK).

September 14-15, 2019 Special Session " Supergeometry, Poisson Brackets, and Homotopy Structures" at the AMS meeting at U. of Wisconsin-Madison, Madison, WI. Organizers: Ekaterina Shemyakova, Theodore Voronov (Manchester, UK).

July 21-25, 2019 Special Session on "Recent Advances on Vector-borne Diseases'', Annual Society on Mathematical Biology Meeting, University of Montreal, Montreal, Canada. Organizers: Guihing Fan (Columbus State University), Rongsong Liu (University of Wyoming), and Chunhua Shan.

October 20-21, 2018 Special session "Advances on Analytical and Geometric Aspects of Differential Equations" at the AMS meeting at the University of Michigan, Ann Arbor. Organizers: Alessandro Arsie, Chunhua Shan, Ekaterina Shemyakova.

April 21-22, 2018 Special session "Dynamical systems, Geometric Structures and Special Functions, I" at the AMS meeting at Northeastern University, Boston, MA. Organizers: Alessandro Arsie and Oksana Bihun (University of Colorado, Colorado Springs)

January 10-13, 2018 Special Session "Dynamical Systems with Applications to Mathematical Biology" at Joint Mathematics Meetings, San Diego, CA. Organizers: Guihong Fan (Columbus State University), Jing Li (California State University Northridge) and Chunhua Shan.

Funding

2017 - 2022 Chunhua Shan (PI) Bifurcation Theory and Applications in Mathematical Epidemiology, Simons Foundation, Collaboration Grants for Mathematicians. $42,000.

2017 - 2020 Ekaterina Shemyakova (PI) (amended to David Hobby as PI, and Shemyakova as co-PI, because of the change of the affiliation by Shemyakova) RUI: Algebraic, Differential-Geometric, and Computational Aspects of Darboux Transformations in Classical and Super Settings, NSF, DMS, Geometric Analysis program. $118,374.00

summer 2017 Alessandro Arsie. INDAM Stipend grants (sponsored by the GNFM - Italian National Group for Mathematical Physics) for collaborative work with Prof. P. Lorenzoni. INDAM is the National Institute for Higher Mathematics in Rome.

summer 2015 Alessandro Arsie. INDAM Stipend grants (sponsored by the GNFM - Italian National Group for Mathematical Physics) for collaborative work with Prof. P. Lorenzoni. INDAM is the National Institute for Higher Mathematics in Rome.

2015-2016 Alessandro Arsie (co-PI), Judy Lambert (PI), Doug Oliver, Sekhar Pindiprolu, Tod Shockey, William B. Weber, Jr. (co-PIs). Ohio Board of Regents, Improving Teaching Quality State Grants Program, New Learning Standards in Math and Science through a Technology Lens in NW Ohio.

2011-2012 Alessandro Arsie (PI), Tod Shockey (co-PI), Willam B. Weber (co-PI), Mark Templin (co-PI). The Woodward High School Mathematics and Science Partnership Project, Phase III.

2010-2011 Alessandro Arsie (PI), Tod Shockey (co-PI), Willam B. Weber (co-PI), Mark Templin (co-PI). The Woodward High School Mathematics and Science Partnership Project, Phase II.

2010-2011 Alessandro Arsie (PI), Dynamical Systems of Lax type, Integrability and Applications, Summer URAF, internal grant.

2010-2011 Alessandro Arsie (PI), Integrable PDEs of hydrodynamic type and bi-Hamiltonian deformations, Visiting scholar grant, internal grant to invite at UT Prof. Paolo Lorenzoni.