Department of

# Mathematics

Seminar Calendar
for Undergraduate Friday Seminar events the year of Thursday, July 2, 2020.

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events for the
events containing

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      June 2020              July 2020             August 2020
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1  2  3  4  5  6             1  2  3  4                      1
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Friday, February 21, 2020

4:00 pm in 341 Altgeld Hall,Friday, February 21, 2020

#### Julia Robinson and Hilbert's Tenth Problem

###### (UIUC Math)

Abstract: Julia Robinson was the first woman elected to the mathematical section of the National Academy of Sciences, and the first woman to become president of the American Mathematical Society. While tracing Robinson's contribution to the solution of Hilbert's tenth problem, the film illuminates how her work led to an unusual friendship between Russian and American colleagues at the height of the Cold War.

Friday, February 28, 2020

4:00 pm in 341 Altgeld Hall,Friday, February 28, 2020

#### How to Tile Your Bathroom: An Extremely Impractical Guide from a Mathematician

###### Prof. Sean English   [email] (UIUC Math)

Abstract: Tilings have been considered by mathematicians for centuries and by artists for millennia. The main question for tiling problems involves asking if a small number of shapes can be used to cover an entire geometric region without gaps or overlaps. We will briefly talk about some of the history behind tilings, then we will explore many interesting different directions these sorts of problems can take. We will explore some questions as simple as "which regular polygons can tile the plane?" to questions as obscure as "do chickens give rise to a periodic tiling?". Disclaimer: Unless your bathroom is infinite in size, follows spherical or hyperbolic geometry, or has a floor that is more than two dimensional, this talk may not actually be helpful for tiling your bathroom.

Friday, March 6, 2020

4:00 pm in 341 Altgeld Hall,Friday, March 6, 2020

#### TBA

###### TBA (UIUC Math)

Friday, March 27, 2020

4:00 pm in 341 Altgeld Hall,Friday, March 27, 2020

#### TBA

###### TBA (UIUC Math)

Friday, April 3, 2020

4:00 pm in TBA,Friday, April 3, 2020

#### Integration Bee

###### MATRIX (UIUC Math)

Friday, April 10, 2020

4:00 pm in 341 Altgeld Hall,Friday, April 10, 2020

#### TBA

###### TBA (UIUC Math)

Friday, April 17, 2020

4:00 pm in 341 Altgeld Hall,Friday, April 17, 2020

#### TBA

###### TBA (UIUC Math)

Friday, April 24, 2020

4:00 pm in Zoom Meeting,Friday, April 24, 2020

#### The Arithmetic of Quadratic Fields

###### Patrick Allen (UIUC Math)

Abstract: It is often said that the prime numbers are the building blocks of the integers, the precise statement of which is the fundamental theorem of arithmetic: any integer greater than one can be factored uniquely as a product of prime numbers. What if we move beyond the integers? The simplest cases to consider are the analogues of the integers in what are called quadratic fields, which are number systems obtained from adding to the rational numbers the square root of some fixed integer. Whether or not these quadratic integers satisfy the analogue of the fundamental theorem of arithmetic turns out to be very subtle and both what is known and what is not known are rather surprising. Please email drthoma2@illinois.edu for Zoom link.

Friday, May 1, 2020

4:00 pm in Zoom Meeting,Friday, May 1, 2020

#### IGL Fall 2020 Info Session

###### Alexi Taylor Block Gorman   [email] (UIUC Math)

Abstract: We will be joined by Alexi Block Gorman! She is a third-year PhD student here in the math program, and also the Illinois Geometry Lab's (IGL's) current research manager. She'll be joining us to to talk about applying to the IGL, as well as answering any questions you might have about how the IGL will be run during the next semester. If you're thinking about applying, or even just wondering what exactly the IGL is, this will be an important meeting to join! For a meeting link, please email drthoma2@illinois.edu.