Announcements
Stuart Sidney Math Competition on April 2nd
2024 MATHCOUNTS Eastern Chapter Competition – February 17
Mathematics Continued Conference – March 2
News & Achievements
Stuart Sidney Math Competition on April 2nd
Research by Professor Kyu-Hwan Lee and undergrad Alexey Pozdnyakov featured in Quanta Magazine
Professor Maria Gordina awarded a Bonn Research Chair at the Hausdorff Center for Mathematics
In Memoriam: William Wickless
It is with great sadness that we inform you of the passing of William Wickless, Professor Emeritus of the Mathematics Department. Retired members of the department and those who have been in the department many years knew him as a cheerful colleague. He served in a role of Associate Head for the department and played […]
[Read More]New book on mathematical writing co-edited by Prof Fabiana Cardetti
Winners of the Seventh Annual Integration Bee
Upcoming Events
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Mar
20
Türkü Özlüm Çelik - Riemann Theta Functions Today 11:00am
Türkü Özlüm Çelik - Riemann Theta Functions Today
Wednesday, March 20th, 2024
11:00 AM - 12:05 PM
Theta functions play a central role in various branches of mathematics. In this talk, we will showcase their significance in algebra and geometry, particularly in studying complex algebraic curves with applications in soliton equations. We will explore how these applications can address the Schottky problem, a classical geometry problem, thereby spotting a mutually enriching relationship. An emphasis will be on exploiting current trends in nonlinear algebra to advance our understanding of this interconnection, encompassing both symbolic and numerical computational approaches.
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Mar
20
Math Club: Partitions and \(q\)-binomial coefficients, by Blake Jackson (UConn) 5:30pm
Math Club: Partitions and \(q\)-binomial coefficients, by Blake Jackson (UConn)
Wednesday, March 20th, 2024
05:30 PM
Monteith 320
A partition of an integer \(n \geq 1\) is a way of writing \(n\) as a sum of positive integers: 4 has the five partitions 4, 2+2, 1+3, 1+1+2, and 1+1+1+1, while 100 has around 190,000,000 partitions! There is no known formula for the number of partitions of \(n\) in general, but that hasn’t stopped mathematicians from finding interesting properties of partitions for over 300 years.
In this talk, which is a preview of next semester’s course on algebraic combinatorics (Math 3094) we will play a game of Bulgarian Solitaire, explore integer partitions, and meet \(q\)-binomial coefficients, which are polynomials that both resemble binomial coefficients and are related to integer partitions. At the end of the talk, we will use the knowledge that we gained to compute \((A+B)^n\) when \(AB \not= BA\) (e.g., matrices).
Note: Free refreshments. The talk starts at 5:40.
Contact Information:
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Mar
22
SIGMA Seminar - Quantum Mechanics as a Deformation of Classical Mechanics- Dion Mann (UConn) 12:20pm
SIGMA Seminar - Quantum Mechanics as a Deformation of Classical Mechanics- Dion Mann (UConn)
Friday, March 22nd, 2024
12:20 PM - 01:10 PM
Monteith Building
With nearly every discovery, it is often the case that physical theory must be modified to remain consistent with modern observations. One should expect a new physical theory to approximately recover the predictions of the previous in some limiting behavior. Thus we can view the emergence of new physics as a sort of “deformation” of old physics. As a prototypical example, the ancient flat Earth deforms through modern manifold theory into a sphere, and modern manifold theory recovers observations made in a flat world by zooming in very closely. Under this motivation, we interpret quantum mechanics as a deformation of classical mechanics via a mathematically rigorous program called “deformation quantization.” Here, quantum mechanics is a deformed classical theory, whose deformation is measured by Planck’s constant \(\hbar\), and whose limiting behavior \(\hbar \to 0\) will represent a contraction back to classical theory. The purpose of this talk is to give a friendly introduction to the program and review some recent progress.
Contact Information:
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Mar
22
Logic Colloquium: James Walsh (NYU) 2:00pm
Logic Colloquium: James Walsh (NYU)
Friday, March 22nd, 2024
02:00 PM
MCHU 201 & Zoom
Join us for a talk by James Walsh (NYU)!
“Is the consistency operator canonical?”
https://logic.uconn.edu/calendar/ -
Mar
25
PDE and Differential Geometry Seminar, Variational Analysis of some nonlocal energy functionals and associated function spaces, Tadele Mengesha (University of Tennessee) 2:30pm
PDE and Differential Geometry Seminar, Variational Analysis of some nonlocal energy functionals and associated function spaces, Tadele Mengesha (University of Tennessee)
Monday, March 25th, 2024
02:30 PM - 03:30 PM
Monteith Building
Abstract: I will present a recent work on variational problems involving nonlocal energy functionals that appear in nonlocal mechanics. I will discuss the associated function spaces, which are nonstandard, and establish some properties that will make it possible to pose a uniquely solvable nonlocal variational. I will discuss some difficulties in proving fundamental structural properties of the function spaces such as compactness. For a sequence of parametrized nonlocal functionals in suitable form, we compute their variational limit and establish a rigorous connection with classical models.