Advising students is one of the most important and fun parts of my job!

Graduate student advisees

• Joshua Mirth, Department of Mathematics. Masters in Fall 2017. Current PhD student, 4th year.
  [Master's Thesis, Master's Slides]
• John Bush, Department of Mathematics. Masters in Fall 2018. Current PhD student, 3rd year.
  [Master's Thesis, Master's Slides]
• Lara Kassab, Department of Mathematics. Masters in Spring 2019. Current PhD student, 2nd year.
  [Master's Thesis, Master's Slides, Poster]
• Brittany Carr, Department of Mathematics. Current MS student, 2nd year.
  [Slides]
• Mark Heim (co-advised by Chris Peterson), Department of Mathematics. Current PhD student, 1st year.
• Alex Williams (co-advised by Amit Patel), Department of Mathematics. Current PhD student, 1st year.

Undergraduate student advisees

• Ethan Coldren and Sean Willmot, Research paper On Vietoris-Rips complexes of planar curves, 2017-present.
  [arXiv:1812.03374]
• Adam Jaffe (Stanford University) and Bonginkosi Sibanda (Brown University), via the Summer@ICERM 2017 program. Research paper Vietoris-Rips complexes of regular polygons, 2017-present.
  [arXiv:1807.10971, Slides, Webpage, Photo]
• Samadwara Reddy via the Duke PRUV Fellowship. Bachelor's thesis The Vietoris-Rips complexes of finite subsets of an ellipse of small eccentricity and research paper On Vietoris-Rips complexes of ellipses, 2015-2017.
  [Publisher Link, arXiv:1704.04956, Oberwolfach Preprint, Bachelor's thesis, Slides]
• Colin Roberts. Bachelor's thesis Sweeping costs of simply-connected domains and research paper Sweeping costs of planar domains, 2016-2017.
  [arXiv:1612.03540, Bachelor's thesis]
• Brooks Adams, research paper Sweeping costs of planar domains, 2016-2017.
  [arXiv:1612.03540]
• John Obuch, undergraduate research paper Crystallization processes in 1-D, 2016.

I am also the coach of the CSU Putnam team, 2015-present.

Where can I find resources if I am interested in applied topology?

• You may be interested in the Applied Algebraic Topology Research Network. Become a member to receive email invites to the online research seminars. Recorded talks are available at the YouTube Channel. There is also a forum.
• Another source of applied topology news is appliedtopology.org
• Mailing lists with announcements in applied topology include WinCompTop and ALGTOP-L.

Unsolicited advice

• Attending talks: Whenever you attend a talk, and especially if you are a student, prepare at least one question that you could possibly ask (this is possible even if you understood only the first sentence of the talk). If nobody else asks a question at the end of the talk, then you are required to ask your question! The speaker and the seminar organizer will both greatly appreciate it! Half of the questions I try to ask are misinterpreted to be more interesting than I intended them to be. If there's not time to ask your question after the talk, you now have a question prepared if the speaker sits next to you at lunch. Asking a question is a great way to meet people!
• Giving talks: Here are my tips for giving a math talk.
• Letters: Here are instructions if I am writing a letter of recommendation for you.
• LaTeX: Here is a LaTeX template for beginning LaTeX users. For more advanced LaTeX users, here are some LaTeX guidelines that I generally follow.
• Overleaf: Here are my tips for using git with Overleaf. Please email Henry if you'd like a link that will allow you to clone and play with this practice repository.
• arXiv: Here are my tips for posting a paper to arXiv!
• MSC codes: Here are my tips for choosing MSC codes for a paper with me!
• CSU thesis formatting: The webpage on formatting your CSU thesis contains a link to a semi-official LaTeX thesis template, which several of my students have used!
• Sharing your thesis with your committee: One optional trick is that when you share your thesis with your committee, don't send them a PDF. Instead, email them a link to your thesis posted on your webpage. This allows you to make tiny changes and your committee "automatically" has the most up-to-date version (depending on how long they procrastinate their reading). Even if you don't make any changes then you're no worse off!
• Grading: Here are my tips for serving as a grader for one of my classes!
• High school math: Here is a list of mathematics opportunities for advanced high school (or middle school) students, primarily in Colorado.
• Conferences: It's important for students to keep their eyes open for conferences they want to attend, for example by subscribing to the WinCompTop and ALGTOP-L mailing linsts. A good place to look for conferences is at the math institutes, such as the following, where you are often able to apply for travel funding: ICERM, MSRI, IMA, IPAM, Mathematical Problems in Industry (MPI) Workshop. For folks two year prior through 5 years after receiving their PhD, I highly recommend the MRC program, which is a great way to meet new folks in your research area, start a new research area, obtain funding for follow-up collaboration travel, and to travel to the Joint Meetings the following year.