Announcements
2020 Connecticut Summer School in Number Theory
Geometry Day 2020
Job Openings 2019–2020
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

Feb
21
Analysis and Probability Seminar
Masser’s Conjecture on Equivalence of Integral Quadratic Forms
Han Li (Wesleyan University)1:30pmAnalysis and Probability Seminar
Masser’s Conjecture on Equivalence of Integral Quadratic Forms
Han Li (Wesleyan University)Friday, February 21st, 2020
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: A classical problem in the theory of quadratic forms is to decide whether two given integral quadratic forms are equivalent. Formulated in terms of matrices the problem asks, for given symmetric nbyn integral matrices A and B, whether there is a unimodular integral matrix X satisfying A=X’BX, where X’ is the transpose of X. For definite forms one can construct a simple decision procedure. Somewhat surprisingly, no such procedure was known for indefinite forms until the work of C. L. Siegel in the early 1970s. In the late 1990s D. W. Masser conjectured for n at least 3, there exists a polynomial search bound for X in terms of the heights of A and B. In this talk we shall discuss our recent resolution of this problem based on a joint work with Professor Gregory A. Margulis, and explain how ergodic theory is used to understand integral quadratic forms.Contact Information: scott.zimmerman@uconn.edu
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Feb
21
Logic Colloquium: Eno Agolli2:00pm
Logic Colloquium: Eno Agolli
Friday, February 21st, 2020
02:00 PM  03:30 PM
Storrs Campus
Oak 110Join us for a talk by Éno Agolli (UConn) in the Logic Colloquium!
Éno Agolli (UConn)
Logical Nihilism
Logical nihilism is the view that there is no logic, or more precisely that no single, universal consequence relation governs natural language reasoning. Here, I present three different arguments for logical nihilism from philosophically palatable premises. The first argument comes from a combination of pluralism with the desideratum that logical consequence should be universal, properly understood. The second argument is a slippery slope argument against monists who support weak logical systems on account of their power to characterize a vast range of true theories. The third argument is a general strategy of generating counterexamples to any inference rule, including purportedly fundamental ones such as disjunction introduction. I close by discussing why a truthconditional approach to the meaning of the logical connectives not only does not force us to reject such counterexamples but also reveals that right truthconditions are far more general than the classical ones, at the price of nihilism.
All welcome!
https://logic.uconn.edu/calendar/Contact Information: https://logic.uconn.edu/about
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Feb
21
Cluster Algeba Seminar
Speaker: Ozgur Esentepe
Title: Cluster categories and singularity theory3:00pmCluster Algeba Seminar
Speaker: Ozgur Esentepe
Title: Cluster categories and singularity theoryFriday, February 21st, 2020
03:00 PM  04:00 PM
Storrs Campus
Mont 313.Contact Information: Ralf Schiffler, schiffler@math.uconn.edu
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Feb
21
Analysis Learning Seminar
An Introduction to Gamma Convergence III
Michael Novack (UConn)3:30pmAnalysis Learning Seminar
An Introduction to Gamma Convergence III
Michael Novack (UConn)Friday, February 21st, 2020
03:30 PM  04:30 PM
Storrs Campus
MONT 214Gamma convergence, originally introduced by De Giorgi, is a notion of convergence of variational problems which is commonly used in the calculus of variations. We will describe the general theory, and then focus on two examples: the ModicaMortola problem and the AvilesGiga problem. The former example is wellunderstood at this point and we will present several theorems along with (most of) the proofs. On the other hand, for the AvilesGiga problem, the theory is partially developed, so we will discuss some important results along with a few difficult open questions. Part III of three lecture minicourse.Contact Information: Matthew Badger, matthew.badger@uconn.edu
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Feb
24
Actuarial Science Seminar
Universally Marketable Insurance in a Multivariate Mixture Market
Ambrose Lo (University of Iowa)11:00amActuarial Science Seminar
Universally Marketable Insurance in a Multivariate Mixture Market
Ambrose Lo (University of Iowa)Monday, February 24th, 2020
11:00 AM  12:00 PM
Storrs Campus
MONT 214The study of desirable structural properties satisfied by marketable insurance contracts has been a recurring theme in insurance economics. In this talk, we develop probabilistic and structural characterizations for universally marketable insurance indemnities, which appeal to both policyholders and insurers, irrespective of their risk preferences and risk profiles. We begin with the univariate case where there is a single risk facing the policyholder, then extend our results to the case where multiple possibly dependent risks coexist. The nondecreasing and 1Lipschitz condition, in different forms, is shown to be intimately related to the notion of universal marketability. As the highlight of this talk, we propose a multivariate mixture model which not only accommodates various dependence structures commonly encountered in practice, but also is flexible enough to house a rich class of marketable indemnity schedules.
(This is a joint work with Qihe Tang and Zhaofeng Tang)
Speaker's bio: https://sites.google.com/site/ambroseloyp/homeContact Information: Bin Zou, bin.zou@uconn.edu
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