For students: research under my supervision
Welcome! PhD and undergraduate students
I am working with interested students on research projects of any level:undergraduate (you may be a physics, computer or math major), M.Sc. level (math) and PhD thesis (math).
If interested, please contact me!
You may be also interested in what's happening at our students research seminar.
My PhD students at the University of Toledo
- Yagmur Yilmaz 2020 -- ongoing
- Indika Maheshan Ekanayaka 2021 -- ongoing
My undergraduate research students at the University of Toledo
- Alexander Peterson (Spring 20), Software for operators acting on the algebras of densities
- Robinson Czajkowski (Fall 19 - Spring 20), Elements of linear superalgebra and Berezinians for matrices with parity violation
- Jacob Imre (Fall 19 - Fall 20), Factorization of differential operators
- Daniel Liu (Fall 2017-Spring 2018), undergraduate research project, Invariants of differential operators on the algebra of densities
My undergraduate research students at SUNY New Paltz
- Ilya Kukovitskiy (Spring 2017), Factorization of differential operators on the algebra of densities
- Finley Hartley (Spring 2016), Geometric framescope for Darboux transformations
- Simon Li (Fall 2015, Spring 2016), Darboux transformations and Berezinians. Our paper
Differential operators on the superline, Berezinians, and Darboux transformations
is published in Lett.Math.Phys., Sept. 2017 issue.
- Gabrielle Buck (Fall 2015, Spring 2016), Orbits under Darboux transformations of type I
- Sean Hill (Spring 2015), Analogues of Darboux transformations in Super Case. Our paper is published in Russian Mathematical Surveys
Darboux transformations for differential operators on the superline
- Dante Peluso and Michelle Parra (Fall 2014), Complex analysis in geography: the Mercator map and Moebius transformations
- Caitlin Kennedy (Fall 2014 and Fall 2015), Flow around airfoils of special kinds
- John Curtin, Devin Grady and Paul Lake (Spring 2014, Fall 2014), Making Latex dynamical for a mathematical game.
Research presentations of my students
2016
- June - July, Geometry and Integrability at XXXV WGMP, workshop and summer school, Poland.
Finley and Simon had a chance to be at real conference (not undergraduate). Simon presented his part of our work ( see here). The paper is published in Lett.Math.Phys. - April 30, The Student Research Symposium at SUNY New Paltz (local big event)
- April 11, 12th Annual Garden State Undergraduate Mathematics Conference
- April 2, 2016 Hudson River Undergraduate Mathematics Conference (HRUMC) in Vermont! (at St. Michael's College)
2015
- April 18, 10th Annual Spuyten Duyvil Undergraduate Mathematics Conference. At this conference we have had huge SUNY NP crowd!
- April 11, 12th Annual Garden State Undergraduate Mathematics Conference
2014
- May 2, The Student Research Symposium
- April 26, Joint Hudson River and Spuyten Duyvil Undergraduate Mathematics Conference
- April 4,5, The Eleventh Annual Garden State Undergraduate Mathematics Conference
In total we had 11 students and two supervisors. We start off our journey Friday afternoon, arrived to Glassboro, NJ (near Philadelphia). Had a famous "philly cheeseburger" dinner in the center of "Philli", spent a night in a hotel, and in the morning was our big event. Some photos from the conference (click to enlarge):
