Utility Websites

These websites offer powerful tools, useful information, or are downright convenient.

• Detexify. Search for Latex commands by handwriting symbols. The description of the command includes the package (if non-vanilla) and whether it should be used in math mode or text mode.

• When2Meet. Find overlapping scheduling times. One person must create the poll at the provided link by choosing the dates (by default, the time windows are set from 9-5, but this may also be changed.) Once made, a link to the poll is created. Here is an example poll, where I have indiciated one person to be available on MWF from 10-12AM and TR from 1-3PM. As more people fill out the poll, the schedule on the left will change; the brightest green indicates where the overlap occurs, and the more faded sections indicate less overlap. White indicates no overlap.

• Geogebra is useful for graphing and creating geometric diagrams through elementary constructions. It also has a 3D graphing calculator. Desmos is simpler to use for ordinary 2D graphing and adding parameters, though Geogebra has the same features and also the geometry and 3D modes.

• Quiver and Tikzcd are sites for creating mathematical (commutative) diagrams and exporting them in LaTeX code.

• MathPix can be used to convert images/handwriting into LaTeX code. It’s far from perfect, though, and personally, I find it easier/faster to type directly especially when the formulae are very specialized/precise.

• MathSciNet and Google Scholar are very useful for creating BibTex code for references. I tend to find the latter more useful, as it is both free/does not require university login to access and creates better short names for the references.

• Arxiv and its French counterpart https://cnrs.hal.science/ are exceedingly useful for finding openly available scientific articles and/or preprints.

• Overleaf is great for collaborative work on LaTeX documents. You can share with more than one person for free if you create a share link, rather than sharing directly.

Software

These programs range from quite useful to absolutely essential, with a focus on open source or freely available software.

• LaTeX. LaTeX is the sine qua non in document creation and academic publications. The easiest way to use the software is to obtain one of the recommended distributions on the site, together with an editor such as Texmaker. Personally, I prefer to use VSCode to edit and compile LaTeX code, as I also program using it as well.

• SumatraPDF. A lightweight, open source document viewer for Windows that notably also supports many other document types such as .djvu files in addition to the standard .pdf.

• Foxit Reader. Foxit is a proprietary company, but their document reader (as opposed to editor) is available for free. Notably, their free reader contains document signing capabilities, which Adobe’s does not allow.

References

These materials, be they in digital or print, are useful sources of mathematics, physics, pedagogy, and other topics. This list will slowly expand as I find time to document books and references. For now, it’s a bit sparse.

Mathematics

Subject	Author	Title	Publisher/Series	Notes
Complex Analysis	L. Ahlfors	Complex Analysis	MacGraw Hill	A well-regarded introduction to complex analysis with good geometric treatment of the subject.
	W. Schlag	A Course in Complex Analysis and Riemann Surfaces	AMS Graduate Studies in Mathematics
	W. Ebeling	Functions of Several Complex Variables and Their Singularities	AMS Graduate Studies in Mathematics	An analytic take on several complex variable theory.
	R. Gunning & H. Rossi	Analytic Functions of Several Complex Variables	Prentice Hall	A more cohomological take on several complex variable theory.
Complex Dynamics	Beardon	Iteration of Rational Functions	Springer
	Carleson & Gamelin	Complex Dynamics	Springer
	Milnor	Dynamics in on complex variable	Princeton University Press

Teaching

• Apex Calculus. An open source calculus textbook. The .pdf version is free to download, and print copies may be obtained for a low cost. Many UCR calculus courses use this book.