Northern Illinois University-Mathematical Sciences
Department of Mathematical Sciences On behalf of the Department and Division I want to welcome all visitors to our page.
Here you will see how mathematics is a vibrant and lively science of great beauty with many ways to enhance our understanding of the world around us.
https://blog.sciencenatures.com/2022/12/a-woman-has-won-nobel-prize-of-math-for.html
A Woman Has Won the βNobel Prize of Mathβ for the First Time Ever On Tuesday, one of the most prestigious mathematics prizes in the world was awarded to a woman for the first time. Karen Uhlenbeck, a mathematician and emeritus professor at the University of Texas at Austin, is now the first woman to win the Abel Prize for mathematics.The prize, according to New ....
Professor Chris McCord gave a beautifully eloquent tribute to our very own Anton Zettl for receiving the CLAS Distinguished Awardππ»ππ»ππ»So wonderful to have one of our NIU mathematicians honored this yearππ
MATH ASSISTANCE CENTER IS OPEN! DU326!
THE MATH ASSISTANCE CENTER (MAC) IS OPEN! DU326!!
The MATH ASSISTANCE CENTER (MAC) IS OPEN! DU326!
Congratulations to Jeanne and Eric Padilla!ππππ
Aubriel Bryce Padilla was born August 23rd at 6:47am weighing 7.4 pounds and 20 inches long. ππ€
Congratulations, Professsor Mary Shafer!
π₯³ππβ¨ππ
Join us to wish Professor Shafer a Happy Retirement!π₯³
A shout out to our very own Renee Herman Olsen ππππ
Room Change for Julie Steranka's Candidacy Exam.
DU 440
Room Change for Brooke Randazzo's Dissertation Defense!
DU140π©βπ
Spring has sprung outside Watson Hall!!!
Our very own Marie Swartz will deliver a Departmental Colloquium this Friday, April 8, at 4PM in DuSable 348. Title and abstract below. Hope to see you there! -MG
Title : The Drinfeld Double and Modular Tensor Categories
The Drinfeld Double construction takes a finite dimensional Hopf algebra and returns a "quasitriangular" Hopf algebra that satisfies certain physics equations from statistical mechanics. If we perform that construction on the group algebra kG of a finite group, we get an object whose modules can be defined from the data of G.
We will also see that this "quasitriangular" property induces a representation of the modular group SL(2, Z).
Colloquium, Friday, April 1.
We shall have another Zoom colloquium this Friday at 4PM by CΓ©sar Lozano Huerta, also from the National Autonomous University of Mexico.
Time: Apr 1, 2022 04:00 PM Central Time (US and Canada)
Join Zoom Meeting
https://niu-edu.zoom.us/j/86982073616?pwd=bHYxY2kvanNoa2tpc0ZBVithdzJkdz09
Meeting ID: 869 8207 3616
Passcode: 343702
Title and abstract below. Just between us, I anticipate seeing a large number of homology and cohomology groups of complex projective varieties. Have a look at Thm 3.43 on page 254 of Hatcher to get a sense of one ingredient of the story. (Taking R to be the ring of integers in that statement makes [M] into an element of just the sort of homology groups that have appeared in 720.) -MG
Title: On the Weak Lefschetz Principle in birational geometry.
Abstract: In this talk we will discuss the weak Lefschetz Principle in the context of birational geometry.
Our departing point will be the influential work of Solomon Lefschetz started in 1924. We will look at the original formulation of the Lefschetz hyperplane theorem in algebraic topology and build up to recent developments of it in birational geometry. In doing so, the slogan of the talk will be the following: there are many scenarios in geometry in which analogous versions of the Lefschetz hyperplane theorem hold. Such scenarios are somewhat unexpected and have had a profound impact in mathematics.
No prior familiarity with birational geometry will be assumed and the talk should be intelligible to graduate students and researchers outside of algebraic geometry.
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35th Annual NIU MATH CONTEST
Wednesday, April 20th, 2022, 7-10 pm, DU204
Only currently enrolled NIU undergraduates are eligible!
There will be a Zoom colloquium this Friday delivered by Rita Jimenez Rolland (National Autonomous University of Mexico) at 4PM.
Title: Stability patterns in algebra and topology
Abstract: In this talk we will consider configuration spaces of n points in a manifold and we will survey how the topology of these spaces changes as the parameter n grows. We will describe a framework that allows us to find and predict patterns of algebraic invariants of these and other families of spaces that appear naturally in algebra and topology.
Join Zoom Meeting
https://niu-edu.zoom.us/j/87618829710?pwd=MjAwV1pMNVlmZElMd1B6cEU5WkI4QT09
Meeting ID: 876 1882 9710
Passcode: 853363
Find your local number: https://niu-edu.zoom.us/u/kedtlc2tCF
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This professor studies each swimmer as a math problem. It's helped them to be faster Heading into national swimming championships, the University of Virginia relies on a mathematician, cameras and sensors to help each swimmer perform their best.
This Friday, March 11th, we shall have a Departmental Colloquium delivered by James Waterman (Stonybrook) at 4PM in DU348.
Title: Eremenkoβs Conjecture and Wandering Lakes of Wada
Abstract: In 1989, Eremenko investigated the set of points that escape to infinity under iteration of a transcendental entire function, the so-called escaping set. He proved that every component of the closure of the escaping set is unbounded and conjectured that all the components of the escaping set are unbounded. Much of the recent work on the iteration of entire functions is involved in investigating properties of the escaping set, motivated by Eremenko's conjecture. We will begin by introducing many of the basic dynamical properties of iterates of an analytic function, and finally discuss constructing a transcendental entire function with a point connected component of the escaping set, providing a counterexample to Eremenko's conjecture. This is joint work with David MartΓ-Pete and Lasse Rempe.
Colloquium Friday, January 28, 2022, 4PM.
Abstract for Friday's colloquium, which will occur at 4PM in DuSable 348, by Richard Laugesen from UIUC.
The Laplacian and friends: old, new and conjectured spectral bounds
Eigenvalues of the Laplacian have intrigued physicists and mathematicians for hundreds of years: they represent quantities such as frequencies of drums and energy levels of quantum particles, while encoding geometric information such as area, perimeter and curvature integrals. I will provide a tour of classical and recent results for these eigenvalues, with an emphasis on open problems.
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