Category Archives: train

2016 summer program


Computational Mathematics Bootcamp

Tuesday June 7 – Saturday June 18 (no meetings on Sat-Sun June 11-12)
Location: 239 Altgeld Hall
Instructor: Anil Hirani.

More information is here.

Prepare and Train
Monday June 20 – Friday July 29
Location: 159 Altgeld Hall
Instructor: Maxim Arnold (U of Texas at Dallas), assisted by Yuliy Baryshnikov (U of Illinois at Urbana-Champaign)

The program is a “Research Experience for Graduate Students” style endeavor: after a series of introductory lectures, the students form small groups (2-5 people) to work on open-ended interconnected problems.

This year the overall theme is Topologically constrained problems of statistical physics.

The goal is to guide students through the transition from working on “canned” problems to tackling open-ended problems and formulating the problems themselves. We expect the group work to involve a mixture of computational experiments (to generate conjectures) and theory (to prove them).

More information is here.

Workshop in Linear Algebra

Monday June 6 – Thursday July 28 (no meetings July 4-8)
Times: 5:30-7:00pm on Mondays and Thursdays
Location: 145 and 159 Altgeld Hall
Instructor: Derek Jung

Each session will begin with a 40-45 minute lecture. Then after a break, participants will work together on a problem set for 40-45 minutes. No work is expected outside of class.

Prerequisites: some linear algebra and proof techniques from prior math courses, along with enthusiasm and willingness to work with others. All undergraduate and graduate students are welcome to participate, whether or not you are involved in the other PI4 activities.

More information is here.


Various dates. Hosts to be arranged. Companies and faculty members interested in mentoring a student in this program, please register here.

Application procedure

Students: click here to apply to PI4 for Summer 2016.

2015 summer program


The summer program kicks off with the two week Bootcamp:

Computational Mathematics Bootcamp
Tuesday May 26 – Friday June 5
Location: 239 Altgeld Hall
Instructor: Sean Shahkarami
Coordinator: Anil Hirani

Prepare and Train
Monday June 15 – Monday July 27
Location: 159 and 173 Altgeld Hall
Instructor: Boris Shapiro, Univ. of Stockholm
Topics: Random matrix pencils, their related sorting networks, monodromy, and applications to physics. Students will explore open problems using theoretical and computational methods – the problems will cover several levels of difficulty, and so both beginning students (“Prepare”) and continuing students (“Train”) are welcome. The mathematical methods will be drawn from linear algebra, spectral theory, probability, geometry, and complex analysis.


Various dates. Hosts to be arranged.

Those interested in mentoring a student in this program, please register at

“how I spent this summer”


The summer was busy for PI4 students – whether those who just participated in the Computational Bootcamp (where a lot was learned, we hear), or those who worked in the research teams with Profs. Bronski and Deville (the “Train” phase of our program).

Below are links to their reports, dealing with