Department of Mathematics and

Computer Science

University of Wisconsin - Superior

Superior, WI 54880

Email: jstangle 'at' uwsuper 'dot' edu

Office: 3032 Swenson Hall

Office Phone: (715) 394 8275

## About:Me

I was born and raised in Spencer, NY&ndasha small town about 15 miles south of Ithaca. After high school I attended University of Rochester where I played Rugby and majored in Mathematics.

In 2015 I married Claire Mierzwa, and we've been adventuring together ever since.

In 2017 I graduated from Syracuse University as a Dr. of math. Currently I am an assistant professor of Mathematics at the

University of Wisconsin &ndash Superior. For more information see my CV or contact me at jstangle at uwsuper dot edu.

Some of my favorite things are cycling (mostly all mountain currently), music (mostly jazz currently), and delicious food (mostly vegetables always).

### Research Interests

- Homological algebra
- Commutative Algebra
- Representation theory of orders over Cohen-Macaulay Rings
- Defect Categories - Especially the Singularity Category
- Math Pedagogy - Especially assessment.
### Education

- Ph.D., Mathematics, Syracuse University, May 2017
- M.S, Mathematics, Syracuse University, May 2013
- B.S., Mathematics, University of Rochester, June 2010

### Awards

- Syracuse University All-Doctoral Prize, May 2017
- Kibbey Prize, SU Mathematics Department, May 2017

### Teaching

- My office hours (in 3026 Swenson):
- Monday 3-4pm
- Tuesdays 11am-12pm
- Wednesdays 10-11am.
- Friday 1-2pm and 4-5pm.
- You can always request office hours at a different time, do not hesitate to email me.

- All class material and announcements are posted on the Canvas Learning Management Software
- Students: I am here to facilitate your learning. Do not hesitate to contact me if you have any question or concern.

I try to use open-sources textbooks for many of my courses.

Here are a few of the books I enjoy that are great to learn from:

Here is a site that may help you begin to decipher the language which mathematicians use: How to Read Mathematics

*Current Courses (Spring 2021):*

- MATH 310: Introduction to Abstract Mathematics
- MATH 241: Calculus II
- MATH 112: Introduction to Contemoporary Mathematics

### Past Courses

### Research

My main research interests are commutative algebra and representation theory.
In particular, I am interested in the use of Higher Auslander-Reiten theory in the study of orders over Gorenstein or Cohen Macaulay rings,
as well as the study of Gorenstein Orders and finding conditions that yield Endomorphism rings which are Gorenstein orders.

I am also particularly interested in defect categories, especially the singularity category and relative singularity category.
In particular, I'd like to study the change in dimension of the singularity category of a ring and the singularity category of a partial resolution of the ring.

Lately, I've also been spending more time thinking about the scholarship of teaching and learning. In particular, I have fully embraced Master-Based grading. If this is of interest to you, please check out the Slack hangout dedicated to it: Mastery Grading Slack Hangout.

Curriculum Vitae
### Publications

### Adventuring

My hobbies are mostly outdoor based, and involve mountain biking, hiking, and slacklining.

My wife and I have hiked a great deal (all?) of the trails around Syracuse, and try to get out as often as possible. One of our favorite hikes is Tinker Falls in the labrador unique area. We once did the awesome 12 mile long loop there. Then we got ice cream!

In Summer of 2016 we went on our Honeymoon trip. We flew to Las Vegas and drove to the Grand Canyon (where we hiked all the way to the Colorado river!); Lake Powell; Moab: Steamboat Springs and finally Denver where we flew home. It was a glorious 12 days! We're hoping to go do R2R (my wife refuses to do R2R2R!).

As a graduation and birthday gift, my wife treated me to a trip to the Adirondacks. We managed to hike Mt. Marcy (New York's tallest mountain!) in the snow and mud! Luckily, even though it was cloudy, the view from the top was still great!

My wife is an ice cream maker and all around BA. I'm a lucky guy!

### Service

### Math Meet

For the past 3 years, I have been a co-organizer of the University of Wisconsin - Superior High School Mathematics Meet.

This annual event (with the exception of 2020 and 2021), brings approximately 250 local high school students to the University to participate in team and individual competitions.
Students see a brief Mathmetics expository talk, and get lunch too! The math meet has been going on for over 30 years.

__2019 Results__

- Rice Lake and Superior High Schools tied for first place for large schools, while Hayward High School was the large school runner-up.
- For small schools, Frederic High School took first place and Bruce and Shell Lake High Schools tied for second place.

__ Contact:__

General inquiries: UWSuperMathMeet 'at' gmail 'dot' com