MSCS Seminar Calendar

Monday March 19, 2018
Geometry, Topology and Dynamics Seminar
Group actions on quiver varieties and applications
Victoria Hoskins (Freie Universität Berlin)
3:00 PM in SEO 636
In joint work with Florent Schaffhauser, we study two types of actions on King's moduli spaces of quiver representations over a field k, and we decompose their fixed loci using group cohomology in order to give modular interpretations of the components. The first type of action arises by considering finite groups of quiver automorphisms. The second is the absolute Galois group of a perfect field k acting on the points of this quiver moduli space valued in an algebraic closure of k; the fixed locus is the set of k-rational points, which we decompose using the Brauer group of k and give a moduli theoretic description. Over the field of complex numbers, we describe the symplectic and holomorphic geometry of these fixed loci in hyperkähler quiver varieties using the language of branes.

Analysis and Applied Mathematics Seminar
New Integrals of Motion and Singularities in 2D Fluid Dynamics with Free Surface
Sergey Dyachenko (UIUC)
4:00 PM in SEO 636
We study the problem of 2D incompressible fluid dynamics with free surface, we assume the the fluid is ideal and the flow is potential. Following the conformal mapping technique we reformulate the problem to surface variables and demonstrate the existence of previously undiscovered constants of motion associated with singularities in the analytic continuation of conformal map and complex potential. In numerical simulations we recover the analytic structure of the surface shape and observe simple poles and branch point singularities of the square-root type. We use the Alpert-Greengard-Hagstrom method to recover the location, type and magnitude of the singularities. We show how the approach of square-root type singularities may be responsible for the breaking of waves in the ocean, following the nonlinear stage of modulational instability.

Stat Lab Seminars
Robust Methods in Small Area Estimation
Prof. Abhyuday Mandal (University of Georgia)
4:00 PM in SEO 612
Modern societies have an ever-increasing appetite for reliable and up to date data to make informed decisions in both public and private sectors alike. While censuses, usually conducted once in a decade, provide reliable information about the population across various geography and demography, such information quickly get outdated each passing year after a census. To obtain a current picture of a population under study, suitable surveys are conducted to collect data from only a fraction of the population. Due to budget constraints, these surveys are inherently limited in size. While information gained from such surveys may be adequate for the entire population, the same data is often inadequately small when it is sliced and diced across geographic and demographic sub-populations. These sub-populations are termed small areas.
National Statistical Offices around the world have been mandated for many years to produce reliable small area statistics for many important variables such as population, income, unemployment, health outcomes, etc. Statistical summaries based on traditional direct estimates, computed using only sample data from individual small areas, are usually very unreliable. In small area estimation, by borrowing strength from other data sources, appropriate statistical methodologies have been developed to improve on the traditional direct estimates.
In this talk, we propose new alternatives to some popular models in small area estimation. Model-based small area estimates are developed by shrinking direct estimates to suitable regression synthetic estimates, generated from the regression model for small area population means. Our new models are based on finite mixture of normal distributions. We implement our models using a hierarchical Bayesian approach.
This talk is based on collaboration with Gauri Sankar Datta and Adrijo Chakraborty.
Tea will be served at SEO 612.
Tuesday March 20, 2018
Thesis Defense
Effective Divisors on Kontsevich Moduli Spaces
Tabes Bridges (UIC)
10:00 AM in SEO 427

Mathematics Education Colloquium
"Studying students studying calculus"
Aida Alibek (UIC)
1:00 PM in SEO 612
We will have a discussion of Uri Treisman's article "Studying students studying calculus: a look at the lives of minority mathematics students in college", as well as the ESP program and minority student experiences at UIC. Everyone is welcome to join the discussion. For a pdf of the paper, please contact aalibe2@uic.edu.
Note: Uri Treisman is the creator of the ESP program that is currently implemented at UIC.
Wednesday March 21, 2018
Thesis Defense
An iterative spectral approach to recovering planted partitions
Sam Cole
3:00 PM in SEO 612

Statistics Seminar
Sampling for Conditional Inference on Network Data
Yuguo Chen (UIUC)
4:00 PM in SEO 636
Random graphs with given vertex degrees have been widely used as a model for many real-world complex networks. We describe a sequential sampling method for sampling networks with a given degree sequence. These samples can be used to approximate closely the null distributions of a number of test statistics involved in such networks, and provide an accurate estimate of the total number of networks with given vertex degrees. We apply our method to a range of examples to demonstrate its efficiency in real problems.

Algebraic Geometry Seminar
K-stable morphisms
Julius Ross (UIC)
4:00 PM in SEO 427

MATH Club
Cayley-Bacharach and Pascal's Theorem
John Kopper (UIC)
5:00 PM in SEO 300
Thursday March 22, 2018
Quantum Topology / Hopf Algebra Seminar
New Mathematical Developments in Quantum Mechanics
Arkady L. Kholodenko (H. L. Hunter Laboratories, Clemson University, Clemson, SC)
3:00 PM in SEO 612
This talk discusses the structure of quantum mechanics in the context of more general complex scalar fields.

Graduate Geometry, Topology and Dynamics Seminar
Applications of constructible sheaves
Jānis Lazovskis (UIC)
4:00 PM in SEO 512
All we do is for this frightened thing we call Love, want and lack — fear that we aren’t the one whose body could be beloved of all the brides of Kansas City, kissed all over by every boy of Wichita — O but how many in their solitude weep aloud like me — On the bridge over Republican River almost in tears to know how to speak the right language — on the frosty broad road uphill between highway embankments I search for the language that is also yours.
Friday March 23, 2018
Number Theory Seminar
Bianchi modular forms
11:00 AM in SEO 612

Departmental Colloquium
The Maximal Rank Theorem
Joe Harris (Harvard)
3:00 PM in Lecture Center A1
The Brill-Noether theorem establishes a fundamental link between the classical notion of a curve in projective space, given as the zero locus of polynomials, and the (relatively) modern notion of an abstract curve. Specifically, it tells us when and how a given general abstract curve can be embedded in $\mathbb{P}^r$. But that's just the opening line of the story: having embedded our abstract curve in projective space, we can ask about the geometry and algebra of the image. In particular, we ask what sort of polynomial equations define the image -- what their degrees are, and how many of them there are. The Maximal Rank Conjecture, recently proved by Eric Larson, gives the answer to this question. In this talk, I'll describe the ideas leading up to this theorem, give an overview of the proof, and discuss the questions that follow.
This lecture will also serve as the first talk in the Workshop on Algebraic Geometry and its Broader Implications'' to be held over the following weekend March 23-25 at UIC, a conference in honor of Robin Hartshorne's 80th and the book's 40th. See http://kftucker.people.uic.edu/Hart80/ for further details.
Friday March 30, 2018
Departmental Colloquium

Spring Vacation
3:00 PM in SEO 636
Monday April 2, 2018
Geometry, Topology and Dynamics Seminar
TBA
Boris Hanin (Texas A&M)
3:00 PM in SEO 636

Analysis and Applied Mathematics Seminar
Orbital Stability of Vortex Solitary Waves for Dispersive Equations
Shijun Zheng (Georgia Southern University)
4:00 PM in SEO 636
Vortex type solitons exhibit remarkable and ubiquitous phenomena that arise in modeling quantum optics, plasma, superfluids and pseudo-relativistic boson stars. I will discuss orbital stability and instability by providing certain sharp conditions for the governing equations including magnetic and fractional NLS with unbounded potentials. This study is motivated by related open question in the area in oder to understand the asymptotic behavior and rates of wave-collapse for the solutions. Some numerical simulations are presented as well.
Wednesday April 4, 2018
Algebraic Geometry Seminar
TBA
Benson Farb (University of Chicago)
4:00 PM in SEO 427

Statistics Seminar
TBA
Daniel W. Apley (Northwestern University)
4:00 PM in SEO 636
Friday April 6, 2018
Number Theory Seminar
Davenport's constant associated to a finite abelian group
Jacob Mayle (University of Illinois at Chicago)
11:00 AM in SEO 612

Departmental Colloquium
TBA
Andre Neves (University of Chicago and Imperial College London)
3:00 PM in SEO 636
Monday April 9, 2018
Geometry, Topology and Dynamics Seminar
TBA
Matt Hedden (Michigan State)
3:00 PM in SEO 636

Analysis and Applied Mathematics Seminar
TBA
Dana Mendelson (University of Chicago)
4:00 PM in SEO 636
TBA
Tuesday April 10, 2018
Logic Seminar
TBA
Martin Zeman (University of California Irvine)
3:30 PM in SEO 427
Wednesday April 11, 2018
Statistics Seminar
TBA
Shunpu Zhang (University of Central Florida)
4:00 PM in SEO 636

MATH Club
The Learning Assistant Program in Math at UIC
Martina Bode (UIC)
5:00 PM in seo 300
Friday April 13, 2018
Departmental Colloquium
TBA
Harm Derksen (University of Michigan)
3:00 PM in SEO 636
4:15 Tea at 4:15
Monday April 16, 2018
Geometry, Topology and Dynamics Seminar
TBA
Yair Hartman (Northwestern University)
3:00 PM in SEO 636

Analysis and Applied Mathematics Seminar
Guaranteed-Accuracy Fast Algorithms for the Evaluation of Layer Potentials using Quadrature by Expansion'
Andreas Kloeckner (UIUC)
4:00 PM in SEO 636
Quadrature by Expansion, or QBX', is a systematic, high-order approach to singular quadrature that applies to layer potential integrals with general kernels on curves and surfaces. The efficient and accurate evaluation of layer potentials, in turn, is a key building block in the construction of solvers for elliptic PDEs based on integral equation methods. I will present a new fast algorithm incorporating QBX that evaluates layer potentials on and near surfaces in two and three dimensions with user-specified accuracy, along with supporting theoretical and empirical results on complexity and accuracy. A series of examples on unstructured geometry across a variety of applications in two and three dimensions demonstrates the applicability of the method.
Tuesday April 17, 2018
Logic Seminar
TBA
Natasha Dobrinen (University of Denver)
4:00 PM in SEO 427
Wednesday April 18, 2018
Statistics Seminar
TBA
Jean-Pierre Fouque (UCSB)
3:00 PM in SEO 636

Statistics Seminar
TBA
Ruoqing Zhu (UIUC)
4:00 PM in SEO 636
Monday April 23, 2018
Geometry, Topology and Dynamics Seminar
TBA
Daniel Ingebretson (UIC)
3:00 PM in SEO 636

Analysis and Applied Mathematics Seminar
tba
Rafail Abramov (UIC)
4:00 PM in SEO 636
tba
Wednesday April 25, 2018
Statistics Seminar
TBA
Rui Song (North Carolina State University)
4:00 PM in SEO 636

Algebraic Geometry Seminar
TBA
Harold Blum (University of Michigan)
4:00 PM in SEO 427
Friday April 27, 2018
Departmental Colloquium
TBA
TBA (TBA)
3:00 PM in SEO 636
Monday April 30, 2018
Geometry, Topology and Dynamics Seminar
TBA
Ali Mohajer (UIC)
3:00 PM in SEO 636

Analysis and Applied Mathematics Seminar
TBA
Changyou Wang (Purdue University)
4:00 PM in SEO 636
TBA
Tuesday May 1, 2018
Logic Seminar
TBA
Jindrich Zapletal (University of Florida)
3:30 PM in SEO 427
Wednesday May 2, 2018
Algebraic Geometry Seminar
TBA (Provisional)
Julien Keller (Aix Marseille Universite)
4:00 PM in SEO 427

Statistics Seminar
My (Mis)Adventures in Modeling and Simulation
Peter Bonate (Astellas Pharma)
4:00 PM in SEO 636
Dr. Peter Bonate has over 20 years experience in modeling and simulation in the pharmaceutical industry. Dr. Bonate will discuss his career and the role modeling and simulation has played in the development of many different pharmaceutical products.
Friday May 4, 2018
Departmental Colloquium
TBA (Colloquium in Celebration of 10 years of Atkin Memorial Lectures)
Ramin Takloo-Bighash (UIC)
3:00 PM in SEO 636
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