Announcements
Tatiana Toro to Deliver Excelsior Lecture at 2019 NAN Conference
2019 Special Semester in PDE and Applied Mathematics
2019 Summer REU Programs
News & Achievements
Oleksii Mostovyi receives NSF CAREER Award
Combined Computing: Grant Tackles Major Interdisciplinary Questions
2019 Northeast Analysis Network Conference
Power in Numbers: NSF Grant To Help Researchers Attend Conference
UConn named 2019 Casualty Actuarial Society University Award recipient
Our department has once again been named a Casualty Actuarial Society University Award recipient! From the award notification: “Your program is receiving this recognition for the exemplary and innovative ways in which it prepares students for a career in the property and casualty insurance industry.” Click here to read the full notification letter. Congratulations to […]
[Read More]Upcoming Events

Sep
16
PDE and Differential Geometry Seminar
Stable hypersurfaces with prescribed mean curvature
Constante Bellettini (University College London) 2:30pmPDE and Differential Geometry Seminar
Stable hypersurfaces with prescribed mean curvature
Constante Bellettini (University College London)Monday, September 16th, 2019
02:30 PM  03:30 PM
Storrs Campus
MONT 214In recent works with N. Wickramasekera we develop a regularity and compactness theory for stable hypersurfaces (more precisely, integral varifolds) whose generalized mean curvature is prescribed by a (smooth enough) function on the ambient Riemannian manifold. I will describe the relevance of the theory to analytic and geometric problems, and some GMT and PDE challenges.Contact Information: lihan.wang@uconn.edu
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Sep
18
Algebra Seminar
The addition on superelliptic Jacobians from a geometric viewpoint
Yaacov Kopeliovich (University of Connecticut  School of Business)11:15amAlgebra Seminar
The addition on superelliptic Jacobians from a geometric viewpoint
Yaacov Kopeliovich (University of Connecticut  School of Business)Wednesday, September 18th, 2019
11:15 AM  12:05 PM
Storrs Campus
Monteith 313We give a geometric interpretation of the group law for Jacobians of superelliptic curves $$\mathcal X$$ by extending the geometric construction of chords and tangents on an elliptic curve to a curve $$\mathcal Y$$ which is determined explicitly in terms of the coefficients of $$\mathcal X$$. The method makes use of the basis of holomorphic differentials for superelliptic curves ordered according to the order at infinity.Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Sep
18
Mathematical Finance and Applied Probability Seminar
Tensor PCA for Implied Volatility Surfaces
Andrew Papanicolaou (NYU)4:00pmMathematical Finance and Applied Probability Seminar
Tensor PCA for Implied Volatility Surfaces
Andrew Papanicolaou (NYU)Wednesday, September 18th, 2019
04:00 PM  05:00 PM
Storrs Campus
MONT 313Principal component analysis (PCA) is a useful tool when trying to uncover factor models from historical asset returns. For the implied volatilities of U.S. equities, there is a PCAbased model with a socalled principal eigenportfolio whose returns time series lies close to that of an overarching market factor. Specifically, this market factor is a new volatility index that we have constructed to be a weighted average of impliedvolatility returns with weights based on the options' vega and open interest (OI). This OIweighted index is one among several possible new indices that can be constructed by collecting implied volatilities from options on many individual equities. We analyze the singular values from the tensor structure of implied volatilities from the S&P500 constituents, and find evidence indicating there to be at least two significant factors in this market, with the first component have similarities with the OIweighted index.Contact Information: Oleksii Mostovyi
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Sep
18
Math Club
Hilbert's 3rd Problem
Michael Biro (UConn)5:45pmMath Club
Hilbert's 3rd Problem
Michael Biro (UConn)Wednesday, September 18th, 2019
05:45 PM  06:35 PM
Storrs Campus
Monteith 226Polygons that can be cut up into congruent polygonal pieces are called equidecomposable. Two equidecomposable polygons have the same area, and it turns out the other direction is true too: two polygons with the same area are equidecomposable. This lets us describe what "equal area'' means for polygons without using calculus.
Hilbert asked if a similar result is true for polyhedra (the 3Danalogue of polygons, like a cube): is equal volume the same as being decomposable into congruent polyhedra? The answer is no, and this is due to Hilbert's PhD student Max Dehn.
In this talk we'll prove equal area = equidecomposable for polygons and see why the same approach doesn't work in 3 dimensions using a clever numerical invariant found by Dehn, now called the Dehn invariant.
Note: Free pizza and drinks!Contact Information: Keith Conrad
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Sep
19
Special Semester Talk
A variational perspective on wrinkling due to geometric incompatibility
Robert V. Kohn (NYU)3:30pmSpecial Semester Talk
A variational perspective on wrinkling due to geometric incompatibility
Robert V. Kohn (NYU)Thursday, September 19th, 2019
03:30 PM  04:30 PM
Storrs Campus
Monteith 104A thin elastic sheet wrinkles to avoid compression. When the
compression is uniaxial the wrinkling direction is clear, and
the main challenge is to understand its local length scale. When
the compression is biaxial the situation is more complex since
even the direction of the wrinkling is hard to predict. A related
situation occurs when the wrinkling is due to geometric incompatiblity,
for example when a flat sheet is wrapped around a sphere or a curved
shell is flattened by placing it on water. I will introduce this
topic, then discuss several areas of recent progress, including
striking work by Ian Tobasco on wrinkling driven by geometric
incompatibility in a regime involving "asymptotic isometry."Contact Information: Xiaodong Yan
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