Announcements
Stuart Sidney Math Competition on April 2nd
2024 MATHCOUNTS Eastern Chapter Competition – February 17
Mathematics Continued Conference – March 2
News & Achievements
Small Business Life Expectancy actuarial research model featured in UConn Today and Contingencies magazine
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
Upcoming Events
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Mar
29
SIGMA Seminar - An Exposé of Overly Complicated Ways to Prove Easy Facts- Ben Oltsik (UConn) 12:20pm
SIGMA Seminar - An Exposé of Overly Complicated Ways to Prove Easy Facts- Ben Oltsik (UConn)
Friday, March 29th, 2024
12:20 PM - 01:10 PM
Monteith Building
Have you ever seen a mosquito and wanted to shoo it away? Certainly, if you used a nuclear bomb, this would solve the issue, despite there being many simpler ways to approach the problem. Today, we discuss the mathematical equivalent of this. In particular, we explore some ways to prove fairly elementary facts using overly advanced results.
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Mar
29
Logic Colloquium: Ainsley May (UC Irvine) 2:00pm
Logic Colloquium: Ainsley May (UC Irvine)
Friday, March 29th, 2024
02:00 PM
Zoom
Join us for a talk by
Ainsley May (UC Irvine):
“Meaning in Mathematics: a folkloric account”
Current accounts of meaning in mathematics face a dilemma between triviality and over-specificity. On the one hand, intensional accounts of meaning such as possible world semantics give the trivial result that every mathematical theorem has the same meaning since they are all necessarily true. This triviality is unsatisfactory because we clearly hold some mathematical theorems have different meanings from others. On the other hand, hyperintensional accounts like impossible worlds and structured propositions allow us to distinguish between necessary truths. However, they are so fine-grained that it becomes difficult to uniformly identify the salient semantic features.
In response to this dilemma, I propose an account of mathematical meaning called the folkloric account. On the folkloric account the content of a mathematical theorem is the collection of models, within some reference class of models, that make the theorem true. The appeal of this account is partly that it retains central aspects of world-based accounts, such as evaluation within a model. Yet it overcomes their limitations by incorporating more models to represent different mathematical theories and structures without allowing absolutely every such structure. Here, I introduce the folkloric account and use examples to highlight some of its strengths and identify weaknesses to address in future research. -
Apr
1
PDE and Differential Geometry Seminar, On regularity of elliptic and parabolic PDEs in double divergence form, Seick Kim (Yonsei University) 2:30pm
PDE and Differential Geometry Seminar, On regularity of elliptic and parabolic PDEs in double divergence form, Seick Kim (Yonsei University)
Monday, April 1st, 2024
02:30 PM - 03:30 PM
Monteith Building
Abstract: We consider an elliptic operator, double divergence form operator L*, which is the formal adjoint of the elliptic operator in non-divergence from L. An important example of a double divergence form equation is the stationary Kolmogorov equation for invariant measures of a diffusion process. We are concerned with the regularity of weak solutions of L*u=0 and show that Schauder type estimates are available when the coefficients are of Dini mean oscillation and belong to certain function spaces. We will also discuss some applications and parabolic counterparts.
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Apr
2
PhD Defense of Jianxiong Wang 9:30am
PhD Defense of Jianxiong Wang
Tuesday, April 2nd, 2024
09:30 AM - 10:30 AM
MONT 313
“Symmetry of solutions to a class of PDEs on hyperbolic spaces and sharp functional and geometric inequalities”
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Apr
2
Analysis and Probability Seminar Matthew Hyde (University of Warwick) - Quantitative Rectifiability in Metric Spaces 3:30pm
Analysis and Probability Seminar Matthew Hyde (University of Warwick) - Quantitative Rectifiability in Metric Spaces
Tuesday, April 2nd, 2024
03:30 PM - 04:30 PM
Monteith Building
Abstract: The theory of quantitative rectifiability for Ahlfors regular subsets of Euclidean space was developed extensively by David and Semmes in the early 1990s, partly motivated by questions arising in harmonic analysis. They proved, among many other things, the equivalence of Uniform Rectifiability (UR) and the Bi-lateral Weak Geometric Lemma (BWGL). The first condition being a natural quantitative version of rectifiability, the second, a quantitative condition measuring local Hausdorff approximations by affine subspaces. Their result can be seen as quantification of the equivalence between rectifiability and the almost everywhere existence of approximate tangent planes. In this talk we discuss the equivalence of UR and BWGL for Ahlfors regular metric spaces. While the definition of UR makes sense in this context, BWGL does not. Instead, the BWGL condition is stated in terms of local Gromov-Hausdorff approximations by n-dimensional Banach spaces.
This is based on joint work with David Bate and Raanan Schul.
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