Email: dyeroshk [at] syr.edu
Office: 317A Carnegie
Phone: (315) 443-1585
Welcome to my homepage, feel free to browse the various tabs above for the actual contents of the website.
More will be added as I find them!
My primary research area is Riemannian geometry with a focus on orbifolds, group actions and spaces with positive curvature.
Orbifold Biquotients of SU(3) Diff. Geom. Appl. 42 (2015), 54-76 (arXiv preprint arXiv:1401.7565 [math.DG])
On Geometry and Topology of 4-Orbifolds (preprint): arXiv:1411.1700 [math.DG]
On Poincare Duality for Orbifolds (preprint): arXiv:1502.03384 [math.AT]
I've also dabbled in combinatorics and probability.
On a Certain Cooperative Hat Game (preprint): arXiv:1407.4711 [math.CO] (with J. Kariv)
Spring 2016: Math 295 (Calculus I)
Fall 2015: Math 397 (Calculus III)
Spring 2015: Math 295 (Calculus I)
Fall 2014: Math 295 (Calculus I)
What is LaTeX?
LaTeX is the preferred method of most mathematicians for typing up mathematics. It offers a wide array of capabilities for making both equations and figures.
What software to use?
There are a large number of LaTeX editors and several distributions. The most popular distribution for Windows is MiKTeX, for other operating systems (but also work on Windows) check out TeX Live. For editors my personal preference is Texmaker which works for all major operating systems, but there are many other great options out there.
How to learn LaTeX?
Once again, there are many great options available for free online, such as the wikibooks LaTeX page.
Graphics in LaTeX
There are a lot of ways to include graphics in LaTeX files, my personal preference is to use the TikZ Package. This package has a lot of capabilities, I have used it to draw commutative diagrams, plot functions and draw 3-d pictures. While the complete manual is close to 900 pages long, the tools for the most common uses can be learned very quickly. Additionally, there are hundreds of examples available online.
I received my B.S. in Mathematics from St. Joseph's University in 2009. There I did my undergraduate honors thesis "New Results in Exponential Families" under the direction of Paul Klingsberg.
I received my Ph.D. in Mathematics from the University of Pennsylvania in 2014 under the direction of Wolfgang Ziller.
Outside if mathematics, I enjoy reading, programming, hiking, photography and Magic: the Gathering.