Announcements
Society of Actuaries Center of Actuarial Excellence Award
The UConn Mathematics Department‘s Actuarial Science program continues its extraordinary record of recognition and excellence. The Society of Actuaries has awarded the University of Connecticut the Center of Actuarial Excellence designation for another period of five years, up to June 30, 2029. Our Actuarial Science program benefits from its strong ties with the School of […]
[Read More]CTNT 2024 – Connecticut Summer School In Number Theory (June 10-16)
For more information, please write to: ctntsummer@uconn.edu
[Read More]Join the Celebration of Women in Mathematics – May 10th
News & Achievements
UConn Mathematics Awarded GAANN Fellowship Grant from US Department of Education
The UConn Mathematics Department has been awarded a GAANN grant (Graduate Assistance in Areas of National Need) from the Department of Education. The grant will provide five fellowships per year for three years to graduate students with excellent records who demonstrate financial need and plan to pursue a doctoral degree in mathematics at UConn, a […]
[Read More]Professor Guozhen Lu named Fellow of the Association for Women in Mathematics
Professor Guozhen Lu has been named a Fellow of the Association for Women in Mathematics. The citation for Guozhen says this honor is: For his sustained support and service to AWM, mentorship of early and mid-career female scientists, and advocacy in the career advancement of talented female mathematicians, including recognition in the form of honors and awards. […]
[Read More]Professor Guozhen Lu appointed Editor-in-Chief of Forum Mathematicum
Guozhen Lu has been appointed Editor-in-Chief of Forum Mathematicum, a premier journal in general mathematics. Dr. Lu is currently also the Editor-in-Chief of Advanced Nonlinear Studies, a major journal in Nonlinear Analysis, Partial Differential Equations and Calculus of Variations, as well as Editor-in-Chief of the de Gruyter flagship book series Studies in Mathematics. In addition, Dr. Lu […]
[Read More]Society of Actuaries Center of Actuarial Excellence Award
The UConn Mathematics Department‘s Actuarial Science program continues its extraordinary record of recognition and excellence. The Society of Actuaries has awarded the University of Connecticut the Center of Actuarial Excellence designation for another period of five years, up to June 30, 2029. Our Actuarial Science program benefits from its strong ties with the School of […]
[Read More]Professor Keith Conrad joins the American Mathematical Monthly as Associate Editor
Professor Keith Conrad has joined the American Mathematical Monthly as an Associate Editor. The Monthly is a publication of the Mathematics Association of America and is arguably the most widely read mathematics journal in the world.
[Read More]Professor Lozano-Robledo interviewed about using TikTok to tackle ‘Math Phobia’
Upcoming Events
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Oct
16
Algebra Seminar - Automorphic Differential Operators and Zeros of Zeta 11:00am
Algebra Seminar - Automorphic Differential Operators and Zeros of Zeta
Wednesday, October 16th, 2024
11:00 AM - 12:05 PM
Around 1915, Polya and Hilbert independently speculated that self-adjoint operators could prove the Riemann Hypothesis for zeros of L-functions, and roughly 70 years later, Colin de Verdière advanced this idea by suggesting a physics-oriented way to make inhomogeneous equations into homogeneous ones. Making this rigorous, Bombieri and Garrett in the 2010’s showed that the simplest instance of Colin de Verdière’s idea does not succeed because at most 94% of the zeros of zeta can participate in the spectrum of such operators. That is, the discrete spectrum is small. This motivates understanding analogous operators with a large discrete spectrum. To do so, we build on the well-known identification of the universal enveloping algebra of a Lie algebra with the algebra of left invariant differential operators on the group, recall an intrinsic characterization of the Laplacian/Casimir on spaces of automorphic forms, and discuss how we can attempt to understand the spectrum of related automorphic differential operators.
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Oct
16
Math Club: Commuting polynomials, by Georgia Harbor-Collins (UConn) 5:30pm
Math Club: Commuting polynomials, by Georgia Harbor-Collins (UConn)
Wednesday, October 16th, 2024
05:30 PM
Monteith 419
Composition of functions usually depends on the order in which it is done: $f(g(x))$ usually is not \(g(f(x))\). Sometimes, however,
\(f(g(x)) = g(f(x))\) for all \(x\). We then say \(f(x)\) and \(g(x)\) commute.In this talk, we will see how polynomials can satisfy \(f(g(x)) = g(f(x))\). It turns out that there are only two interesting ways this can happen, and one way
has an unexpected relationship to trigonometry.Note: Free refreshments. The talk starts at 5:40.
Contact Information:
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Oct
18
SIGMA Seminar - More Arrows! Three Kinds of Higher Category Theory - Ben Grant (UConn) 1:25pm
SIGMA Seminar - More Arrows! Three Kinds of Higher Category Theory - Ben Grant (UConn)
Friday, October 18th, 2024
01:25 PM - 02:15 PM
Monteith Building
The 20th century saw both the birth and rapid, widespread adoption of one of the most ubiquitous organizational tools available in modern mathematics: category theory. Category theory provides a unifying language in which one may formally express relationships and analogies within and between very different classes of objects, whether algebraic, geometric, analytic, or otherwise; it is structured enough to be meaningful, and it is flexible enough to be expressive. However, while already a major success story, the categorical phenomenon has continued to expand into higher-dimensional variants– so-called higher categories. These 21st-century generalizations come in many different forms and often serve vastly different purposes. In this talk, we will take a peek at three kinds of higher categories: double categories, \((\infty, 1)\)-categories, and \(A_\)-categories. As demonstrations of the utilities of these gadgets, we will briefly discuss applications in dynamical systems theory, derived algebraic geometry, and homological mirror symmetry.
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Oct
21
PDE and Differential Geometry Seminar, Order Reconstruction in Microfluidic Channels, by Lidia Mrad (Mount Holyoke College) 2:30pm
PDE and Differential Geometry Seminar, Order Reconstruction in Microfluidic Channels, by Lidia Mrad (Mount Holyoke College)
Monday, October 21st, 2024
02:30 PM
Monteith Building
Abstract: Nematic liquid crystals are classified as partially-ordered materials due to the tendency of their molecules to align along preferred directions. This partial alignment, combined with fluid-like properties, render these materials useful in a range of applications, including their widespread use in optical displays. When confined to thin channels, the fluid flow extends the applications of nematics further to optofluidic devices and guided micro-cargo transport. We examine the intrinsic coupling between the fluid motion and the orientation of nematic molecules by considering steady unidirectional flows in thin channels. We employ a reduced Beris-Edwards framework which leads to a system of nonlinear and coupled differential equations. Our analytical and numerical results highlight the universality of order reconstruction solutions, characterized by distinct orientational sub-domains that are separated by domain walls.
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Oct
22
Analysis and Probability Seminar - Ian Fleschler (Princeton University) - Higher Multiplicity Allard Boundary Regularity 3:30pm
Analysis and Probability Seminar - Ian Fleschler (Princeton University) - Higher Multiplicity Allard Boundary Regularity
Tuesday, October 22nd, 2024
03:30 PM - 04:30 PM
Monteith Building
In the context of area-minimizing currents, Allard Boundary Regularity asserts that an oriented surface with boundary that minimizes area cannot have boundary singularities of minimum density. Indeed, in a neighborhood of a point of minimum density, the surface must coincide with a classical smooth minimal surface that attaches smoothly to the boundary.In this talk, I will report on a series of results on extending Allard Boundary Regularity to a higher boundary multiplicity setting, still within the context of area-minimizing currents. Part of this work is in collaboration with Reinaldo Resende.Contact Information:
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