Announcements
3rd Annual Integration Bee
Mathematics Continued: A Research Conference for Undergraduates
2019 Special Semester in PDE and Applied Mathematics
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

Oct
18
SIGMA Seminar
A variational approach to standing pulse solutions of a skewgradient system
Jieun Lee (UConn)12:20pmSIGMA Seminar
A variational approach to standing pulse solutions of a skewgradient system
Jieun Lee (UConn)Friday, October 18th, 2019
12:20 PM  01:20 PM
Storrs Campus
MONT 214From vegetation patterns in an ecological system to propagating waves in a nerve conduction system, patterns emerge everywhere in nature. From a mathematical perspective, reaction
diffusion models are widely used to understand the mechanism underlying pattern formation. In
this talk, we introduce reactiondiffusion models with a skew gradient structure which
encompasses an important class of activatorinhibitor type systems that exhibit localized
patterns. A variational framework is proposed to show the existence of standing pulse solutions to a skewgradient system.Contact Information: himchan.jeong@uconn.edu
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Oct
18
Analysis and Probability Seminar
An Introduction to Caloric Measure
Alyssa Genschaw (UConn)1:30pmAnalysis and Probability Seminar
An Introduction to Caloric Measure
Alyssa Genschaw (UConn)Friday, October 18th, 2019
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: We will define caloric measure by first looking at the definition of harmonic measure (the steady
state analogue of caloric measure) and some interpretations of harmonic measure. We look at extending
known results for harmonic measure to caloric measure, and discuss where some difficulties arise. We then
will give a brief overview of some recent results, including a Bourgaintype estimate, a criterion for nondoubling caloric measure to satisfy a weak reverse H¨older inequality, and that BMOsolvability implies scale
invariant quantitative absolute continuity of caloric measure with respect to surface measure.Contact Information: scott.zimmerman@uconn.edu
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Oct
18
Commutative Cluster Algebra Seminar
Title:
Speaker3:30pmCommutative Cluster Algebra Seminar
Title:
SpeakerFriday, October 18th, 2019
03:30 PM  04:30 PM
Storrs Campus
Monteith 313seminarContact Information: Ralf Schiffler, schiffler@math.uconn.edu
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Oct
18
Analysis Learning Seminar
Holonomy of Riemannian Manifolds and Berger's Classification
Gianmarco Molino (UConn)3:30pmAnalysis Learning Seminar
Holonomy of Riemannian Manifolds and Berger's Classification
Gianmarco Molino (UConn)Friday, October 18th, 2019
03:30 PM  04:30 PM
Storrs Campus
Monteith 214Equipping a Riemannian manifold with an affine connection allows for a notion of parallel transport of vector fields. Considering loops based at a fixed point, the parallel transport induces a subgroup of the orthogonal transformations of the tangent space of vector fields known as the holonomy group of the manifold. The list of possible holonomy groups (classified by Cartan and Berger) is remarkably short, and there is a strong relationship between the holonomy group of a manifold and its global geometry, which we will explore in this talk.Contact Information: Matthew Badger, matthew.badger@uconn.edu
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Oct
21
PDE and Differential Geometry Seminar
Ellipticity of the Bartnik Boundary Conditions
Zhongshan An(UCONN)2:30pmPDE and Differential Geometry Seminar
Ellipticity of the Bartnik Boundary Conditions
Zhongshan An(UCONN)Monday, October 21st, 2019
02:30 PM  03:30 PM
Storrs Campus
MONT 214The Bartnik quasilocal mass is defined to measure the mass of a bounded manifold with boundary, where a collection of geometric boundary data — the socalled Bartnik boundary data— plays a key role. Bartnik proposed the open problem whether, on a given manifold with boundary, there exists a stationary vacuum metric so that the Bartnik boundary conditions are realized. In the effort to answer this question, it is important to prove the ellipticity of Bartnik boundary conditions for stationary vacuum metrics.
In this talk, I will start with an introduction to the Bartnik quasilocal mass and the moduli space of stationary vacuum metrics. Then I will explain the ellipticity result for the Bartnik boundary conditions and, as an application, derive a local result to the existence question.Contact Information: lihan.wang@uconn.edu
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