Home | Department of Mathematics

Oleksii Mostovyi receives NSF CAREER Award

September 9, 2019

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Combined Computing: Grant Tackles Major Interdisciplinary Questions

July 8, 2019

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2019 Northeast Analysis Network Conference

July 5, 2019

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Power in Numbers: NSF Grant To Help Researchers Attend Conference

June 14, 2019

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UConn named 2019 Casualty Actuarial Society University Award recipient

June 4, 2019

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 […]

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Oct 18 SIGMA Seminar
A variational approach to standing pulse solutions of a skew-gradient system
Jieun Lee (UConn)12:20pm

SIGMA Seminar
A variational approach to standing pulse solutions of a skew-gradient system
Jieun Lee (UConn)

Friday, October 18th, 2019

12:20 PM - 01:20 PM

Storrs Campus
MONT 214

From 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 reaction-diffusion models with a skew gradient structure which
encompasses an important class of activator-inhibitor type systems that exhibit localized
patterns. A variational framework is proposed to show the existence of standing pulse solutions to a skew-gradient 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)1:30pm

Analysis and Probability Seminar
An Introduction to Caloric Measure
Alyssa Genschaw (UConn)

Friday, October 18th, 2019

01:30 PM - 02:30 PM

Storrs Campus
MONT 313

Abstract: 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 Bourgain-type estimate, a criterion for nondoubling caloric measure to satisfy a weak reverse H¨older inequality, and that BMO-solvability 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:
Speaker3:30pm

Commutative Cluster Algebra Seminar
Title:
Speaker

Friday, October 18th, 2019

03:30 PM - 04:30 PM

Storrs Campus
Monteith 313

seminar

Contact 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)3:30pm

Analysis 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 214

Equipping 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)2:30pm

PDE 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 214

The Bartnik quasi-local mass is defined to measure the mass of a bounded manifold with boundary, where a collection of geometric boundary data — the so-called 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 quasi-local 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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Department of Mathematics

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

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