### Upcoming Events

**Friday, April 23, 4 pm on Zoom.**

**Pi Mu Epsilon Lecture by Professor Ben Brubaker, Head of School of Mathematics, University of Minnesota **

**Title:** Setting your undergraduate research on fire: A parable through ice.

**Abstract:** We'll talk about recent research in representation theory and combinatorics done by and in collaboration with
undergraduates in various formats (including REUs and other summer programs). On the research side,
it is a chance to explain how special functions in representation theory arise as generating functions on "ice-type"
lattice models and how methods from statistical mechanics allow us to draw conclusions about them. We'll also use
each example as an opportunity to talk about the various research formats and programs for undergraduates, and
what the benefits, goals, and future possibilities of such formats might be as we are all acquiring new skills and new
modes of delivery. For the mathematics, no prior familiarity with combinatorial representation theory is required and
terms and concepts will be introduced from scratch.

**If you missed this interesting talk, here is the link for the video.**

### Previous Events

**Thursday, April 1, 4 pm via Zoom at this link, ID: 980 5581 1872.**

**Fall 2021 Course Preview **

**Description:** Come learn more about MATH 417: Group Theory, MATH 424: Introduction to Partial Differential Equations, MATH 430: Ordinary Differential Equations, MATH 435: Math in the City, MATH 439: Mathematical Biology, MATH 450: Combinatorics, and MATH 487: Probability Theory from the course instructors for the Fall 2021 semester.

**If you missed the Course Preview event, here is the link for the video.**

**Thursday, March 18, 4 pm via Zoom in this link, ID: 994 6646 8315, password: 752404.**

**Math talk by Dr. Beemer, University of Wisconsin-Eau Claire **

**Title:** Coding theory: shielding data from corruption

**Abstract:** Whenever data is transmitted or stored, the information is vulnerable to errors that can be either random or adversarial in nature. The field of mathematical coding theory addresses this by introducing redundancy into information, resulting in encoded data. In this talk, we will introduce some fundamental concepts in coding theory, including measures of reliability and efficiency, as well as an important class of codes called linear codes. Linear codes are widely used in practice, and their symmetry allows us to more easily understand and compute measures of their performance. However, we will see that this same symmetry makes linear codes a poor choice when a powerful adversary can tamper with transmissions. We will discuss the advantages of introducing a small amount of non-linearity in this setting, resulting in codes that can both correct random errors and detect adversarial tampering.

**If you missed this interesting talk, here is the link for the video.**

**Thursday, March 4, 4 pm via Zoom in this link, ID: 920 0683 8963, password: Avery351.**

**Math talk by George Nasr, UNL Mathematics **

**Title:** From Dice to Polynomials, and Back to Dice

**Abstract:** Popular board games like Monopoly, Settlers of Catan, and Backgammon rely
on a common mechanic—rolling two 6-sided dice and adding the resulting
values. But is the labeling on these dice unique? That is, can we change the
numbers on the dice so that the probability of getting 2 through 12 remain
unchanged? If so, how many labelings are there? In this talk, we'll discuss how
polynomials (and more broadly, power series tricks from Calculus) can help us
find the answer!

**Thursday, February 25, 4 pm via Zoom in this link, ID: 994 6646 8315, password: 752404**.

**Math talk by Dr. Sangjin Ryu (a.k.a. Professor Otaku), UNL Engineering **

**Title:** The Navier-Stokes Equation for Fluid Dynamics and Its Application in the Movie Industry

**Abstract:** My Professor Otaku lecture series employs visual pop cultures to explain STEM in informal and casual ways. This Professor Otaku lecture for UNL Math Club is about fluid dynamics, a branch of physics to study motions of fluids, and mathematics, a crucial part of fluid dynamics. In this talk, I will introduce the Navier-Stokes equation for incompressible flow of Newtonian fluids, which is one of the Millennium Problems, and explain how analytic solutions of the simplified N-S equation are related to real flows. Then, I will introduce how solving the N-S equation computationally is used in the movie industry.

**If you missed this interesting talk, no problem! Here is the link for the video.**

**Thursday, November 5, 4 pm on Zoom at this link, Meeting ID: 977 8593 8251 Passcode: 387117**

**Math talk by Shahriyar Roshan Zamir**

**Title:** Subgroups of Groups of Units Modulo n

**Abstract:** The group U(n) of units modulo n is useful in algebra, number theory and computer science. Inspired by Gallian and Rusin’s 1980 paper, we investigate some subgroups of U(n). In particular, we give a complete classification of these subgroups and their factor groups for several special cases.

**Thursday, October 22, 4 pm on Zoom this link, password: 542218**

**Course Preview for Spring 2021**

The Math Club's most popular event each semester. The course instructors for the 400-level Math courses scheduled for the Spring 2021 semester will present information about their upcoming courses. The 400-level Advanced Math courses current scheduled for Spring 2021 include MATH 415, MATH 423, MATH 428, MATH 435, MATH 447, and MATH 471.

**If you missed the course preview, no problem! Here is the link for the video.**

**Monday, October 5, 4 pm on Zoom at this link, password: 569393**

**What is math research and how do I get involved?**

*AWM Student Chapter Event*

The UNL chapter of the Association for Women in Mathematics invites you to a panel on Research Experiences for Undergraduates (REUs) on Monday, October 5th from 4 – 5 pm. We will provide a summary of what these types of programs involve, the benefits of participating in undergraduate research, and tips on applying to REUs. There will be plenty of time to address any specific questions you may have. Everyone is welcome at our AWM events regardless of their major; we especially encourage students of all under-represented genders to attend. No membership is required.

**Thursday, October 1, 4 pm on Zoom at this link, password: Avery351**

**Math talk by Jack Jeffries**

**Title:** Sharing a square pizza

**Abstract:** We might not have had this problem recently, but here's a problem from more normal times. Pizza, as we all know, should be eaten in triangular slices. Given a square pizza, is there a way to cut it into triangular slices of equal size? If we want two, four, or six slices, you'll succeed. If we want three, five, or seven slices, we'll at least struggle. In fact, it's impossible to cut a square into an odd number of triangles of equal area. Even more fun than this fact is the surprising set of tools we'll use to see it. Only a basic familiarity with pizza is assumed as background.

**Thursday, September 24, 4:30 pm on Zoom at this link**, password Avery351

**Math talk by Juliana Bukoski**

**Title:** Symmetry and [Inverse Semi]Groups

**Abstract:** A group is an important mathematical
object that captures the idea of
symmetry. For example, rotations and
reflections of an equilateral triangle
can be expressed as a group. But what
about the symmetries of something like
the Sierpinski Triangle, which is made
up of three smaller Sierpinski Triangles?
In this talk, I will define what a group is
and give some examples of groups.
Then we will look at how we can tweak
the definition in order to capture these
"partial symmetries".

### About Math Club

The Math Club is an umbrella organization for mathematics-related activities open to all UNL students. The Math Club sponsors events throughout the academic year in association with the Nebraska Alpha Chapter of Pi Mu Epsilon and the Women Undergraduates in Mathematics at Nebraska.

**Subscribe** to the Math Club mailing list. Use **math-club** for the list name.

### Pi Mu Epsilon (ΠΜΕ)

Pi Mu Epsilon is a national mathematics honor society that promotes scholarly activity in mathematics among students in academic institutions. UNL's Nebraska Alpha Chapter, founded in 1928, was the 15th chapter out of over 350 chapters around the country.

Learn more about joining Pi Mu Epsilon.

#### Faculty Advisors