Department of Mathematics

Syracuse University

215 Carnegie Building

Syracuse, NY 13244

Syracuse University

215 Carnegie Building

Syracuse, NY 13244

**Email**: dyeroshk [at] syr.edu

**Office**: 317A Carnegie

**Phone**: (315) 443-1585

- Home
- Links
- Research
- Teaching
- LaTeX
- About Me

Welcome to my homepage, feel free to browse the various tabs above for the actual contents of the website.

- Syracuse Math Department
- Wolfram Alpha - online computation and solving system.
- Putnam Archive - an archive of previous Putnam exams (1985-present), solutions (1995-present) and results (1994-present).
- Another Putnam Archive - this is an archive of Putnam exams that has older exams, but unfortunately is not up to date. Has problems and most solutions (1938-2003).
- The On-Line Encyclopedia of Integer Sequences - A large database of sequences
- MathSciNet - A database of Mathematics papers.
- Math Genealogy Project - A historical database of Math Ph.D.s
- Nim Variants talked about in Math club (10/15/2015), and the Strategies to beating these games.

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.

**My Thesis:** Riemannian Orbifolds with Non-Negative 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)

**Spring 2015:** Math 485 (Differential Equations and Matrix Algebra for Engineers)

**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.

If you prefer to have your stuff in the cloud, you can also use shareLaTeX or writeLaTeX.

**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 Ti*k*Z 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.