Announcements
Geometry Day 2020
Job Openings 2019–2020
2019 Special Semester in PDE and Applied Mathematics
News & Achievements
Professor Vladimir Pozdnyakov Receives 2020 Chauvenet Prize of the MAA
Vladimir Pozdnyakov, Professor of Mathematics and Statistics, and the Director of Applied Financial Mathematics Program, is a corecipient of the 2020 Chauvenet Prize of the Mathematical Association of America. From the MAA website: The Chauvenet Prize, consisting of a prize of $1,000 and a certificate, is awarded at the Annual January Meeting of the Association […]
[Read More]Anthony Rizzie wins 2019 CETL Academic Mini Grant Competition
History as a giant data set: analyzing the past to save the future
Oleksii Mostovyi receives NSF CAREER Award
Combined Computing: Grant Tackles Major Interdisciplinary Questions
Upcoming Events

Jan
22
Algebra Seminar11:15am
Algebra Seminar
Wednesday, January 22nd, 2020
11:15 AM  12:05 PM
Storrs Campus
Monteith 313Scheduling meeting.Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Jan
22
Mathematical Finance and Applied Probability Seminar
Fee Structure and Optimal Investment Mix in Variable Annuities
Anne Mackay, UQAM 4:00pmMathematical Finance and Applied Probability Seminar
Fee Structure and Optimal Investment Mix in Variable Annuities
Anne Mackay, UQAMWednesday, January 22nd, 2020
04:00 PM  05:00 PM
Storrs Campus
MONT 313We discuss a portfolio management problem in which a rational policyholder of a variable annuity (VA) with minimum accumulation guarantee wants to maximize the utility of her terminal wealth. We assume that the investment mix in the VA account can be modified throughout the contract, subject to a fair pricing constraint. This problem is formulated in terms of constrained optimal stochastic control which requires the maximization of a nonconcave utility function, and is solved using a martingale approach. Numerical examples are used to analyze the interplay between the VA fee structure and optimal investment strategies. In particular, we show that there exist different ways to set the VA guarantee fee, and that lower fees can lead to increased expected utility without increasing the VA provider's liability.Contact Information: Oleksii Mostovyi
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Jan
23
Mathematics Colloquium
Total Curvature and the isoperimetric inequality: proof of the CartanHadamard conjecture
Joel Spruck (Johns Hopkins University)3:30pmMathematics Colloquium
Total Curvature and the isoperimetric inequality: proof of the CartanHadamard conjecture
Joel Spruck (Johns Hopkins University)Thursday, January 23rd, 2020
03:30 PM  04:30 PM
Storrs Campus
MONT 214The classical isoperimetric inequality in Euclidean space is equiva
lent to the statement that spheres provide unique enclosures of least
perimeter for any given volume. In this talk we sketch some of the ideas
of the proof that this inequality also holds in complete simply con
nected spaces of nonpositive curvature, known as CartanHadamard
manifolds. Immediate applications include sharp extensions of the
Sobolev and FaberKrahn inequalities to CartanHadamard manifolds.
The essential step in the proof is to show that the total positive Gauss
Kronecker curvature of any closed hypersurface embedded in a Cartan
Hadamard manifold Mn
, n ≥ 2, is bounded below by the volume of the
unit sphere in Euclidean space Rn
. Our starting point is a comparison
formula for the total curvature of level sets in Riemannian manifolds.
This is joint work with Mohammad Ghomi.Contact Information: KyuHwan Lee
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Jan
24
Analysis and Probability Seminar
The Ribe Program and Markov Convexity of Filiform Groups
Chris Gartland (University of Illinois)1:30pmAnalysis and Probability Seminar
The Ribe Program and Markov Convexity of Filiform Groups
Chris Gartland (University of Illinois)Friday, January 24th, 2020
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: The Ribe program is the research program concerned with generalizing local properties of Banach spaces to biLipschitz invariant properties of metric spaces. Among such generalizations that have been found is the notion of Markov pconvexity, proven by MendelNaor to generalize uniform pconvexity. One of the first important spaces for which this invariant has been calculated is the Heisenberg group, proven by Li to be Markov pconvex for every p at least 4 and not Markov pconvex for any p less than 4. In this talk, we'll start with background on the Ribe program and applications to metric space embedding theory, and then introduce the filiform groups  a class of Carnot groups containing the Heisenberg group  and explain how to use embeddings of graphs to compute their Markov convexities.Contact Information: scott.zimmerman@uconn.edu
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Jan
24
Logic Colloquium: David Ripley (Monash)2:00pm
Logic Colloquium: David Ripley (Monash)
Friday, January 24th, 2020
02:00 PM  03:30 PM
Storrs Campus
Humanities Institute Seminar Room (4th Floor Homer Babbidge Library)Join us for a talk by former local Logic Group member Dave Ripley (Monash)!
https://logic.uconn.edu/calendar/Contact Information: https://logic.uconn.edu/about/
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