This is an introduction to the lectures and the tutorials. We will study different topics, differential geometric topic using analysis for the lectures and topological topics with numerical experiments for the tutorials. A survey for the knot energies will also be given.

Creator:

O'Hara, Jun (Chiba University)

Created:

2019-06-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Tuhin Sahai: Dynamical Systems and Continous Approximations for NP-hard Problems In this talk, we will explore the use of dynamical systems for approximating the solutions of NP-hard problems that arise in a wide variety of Industrial settings. In particular, we will investigate the use of dynamical systems for clustering networks and performing...

Creator:

Sahai, Tuhin (United Technologies Corporation); Swaminathan, Sumanth (W. L. Gore & Associates)

Created:

2015-04-20

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Viktoria Averina: Algorithm Development for Medical DevicesImplantable cardiac devices such as pacemakers and defibrillators can track and analyze patient's physiological data. I will showcase key steps of research and development of device-based respiratory monitoring: how one measures patient's respiratory function, why one would want to track...

Creator:

Averina, Viktoria A. (Boston Scientific); Sachs, Jeff (Merck & Co., Inc.)

Created:

2015-04-21

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

What new things can we make from 2D Materials? The possibilities are incredibly varied, from novel quantum systems to functional nanoscale machines. In this talk, I'll discuss three things we've built: a tunable 2D exciton, a thermal guitar, and a new class of self-folding origami devices.

Creator:

McEuen, Paul (Cornell University)

Created:

2017-05-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We begin with the generalization of electrostatic energy of charged knots, where we come across the difficulty of divergent integrals. Two kinds of regularization will be introduced, Hadamard regularization and the regularization via analytic continuation, both from the theory of generalized functions.

Creator:

O'Hara, Jun (Chiba University)

Created:

2019-06-18

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Given a near-perfect X-ray source, such as a synchrotron, then what are the reasonable options for image reconstruction? Back-projection reconstruction has dominated, with lambda tomography not receiving the attention it deserves. Give the computation power a the beamline, is it reasonable to perform both reconstructions so as to discern object ...

Creator:

Butler, Les G. (Louisiana State University)

Created:

2006-01-12

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

I shall talk about building 3D models from image sequences, and inparticular about rendering new views of existing sequences in orderto create stereoscopic 3D from monocular footage. I shall show howexisting strategies for image-based rendering can be augmented usingimage-based priors to create realistic 3D views. In addition I willtalk about th...

Creator:

Fitzgibbon, Andrew (Microsoft Research)

Created:

2006-02-07

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

3D optical elements modulate light through interaction with an entirevolume of variable refractive index (as opposed to a sequence of surfacesused in traditional optics.) One commonly used form of 3D optics isgradient-index (GRIN) where the modulation is base-band. Instead, we haveemphasized use of modulations on a spatial carrier (grating.) We ...

Creator:

Barbastathis, George (Massachusetts Institute of Technology)

Created:

2005-11-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk I will describe recent results in the segmentationof relevant structures in electron tomography.We have developed novel techniques based onPDEs to work with this extremely hard data.I will describe the problem and the proposed solution,both at a tutorial level for a general audience.This is joint work with A. Bartesaghi and S. Subra...

Creator:

Sapiro, Guillermo R. (University of Minnesota, Twin Cities)

Created:

2006-01-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We will see that Hadamard regularization and the regularization via analytic continuation give essentially the same information. This part is rather technical, although it will save complicated computation afterward.

Creator:

O'Hara, Jun (Chiba University)

Created:

2019-06-20

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We apply the regularization via analytic continuation to generalized Riesz energies of submanifolds in Euclidean spaces to obtain Brylinski's beta function, which is a meromorphic function with simple poles. We study geometric information that can be derived from Brylinski's beta function.

Creator:

O'Hara, Jun (Chiba University)

Created:

2019-06-21

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Carbonara, Joaquin (Buffalo State - SUNY); Spirn, Daniel (University of Minnesota, Twin Cities); Symes, William W. (Rice University); Vernescu, Bogdan M. (Worcester Polytechnic Institute)

Created:

2014-04-08

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Hilbert bases, Graver bases and toric Gröbner bases are at the heart of many problems arising in mathematics or in practice. In this talk we present the main functionality and the algorithmic theory behind the software package 4ti2. Furthermore, we present applications (theoretical and computational) from various mathematical fields such as tori...

Creator:

Hemmecke, Raymond (Otto-von-Guericke-Universität Magdeburg)

Created:

2006-10-25

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

A method to construct M\"obius invariant weighted inner products on the tangent spaces of the knot space by using M\"obius invariant knot energies will be introduced. It gives M\"obius invariant gradients of such energies."

Creator:

O'Hara, Jun (Chiba University)

Created:

2019-06-25

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

This talk will describe a new approach for optimizing dynamic treatment regimes that bridges the gap between Bayesian inference and Q-learning. The proposed approach fits a series of Bayesian regression models, one for each stage, in reverse sequential order. Each model regresses the remaining payoff assuming optimal actions are taken at subsequ...

Creator:

Murray, Thomas (University of Minnesota, Twin Cities)

Created:

2018-11-07

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The human world is full of things that move: people travelling, inbuses and trains and cars and taxis, goods being shipped anddelivered, etc. etc. Sensors for recording these movements arebecoming cheaper and more widespread, from GPS-equipped mobile phonesto smart commuter cards, and so there is an explosion in the amount ofmovement data that i...

Creator:

Wischik, Damon (Urban Engines)

Created:

2015-10-20

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In an ab initio molecular dynamics calculation, the finite-temperature dynamics of a system is generated using forces obtained directly from electronic structure calculations performed 'on the fly' as the simulation proceeds. Within this approach, manybody forces, electronic polarization, and chemical bond-breaking and forming evnets are treated...

Creator:

Tuckerman, Mark E. (New York University)

Created:

2008-12-07

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this tutorial, we will show how to incorporate nuclear quantum effects into an ab initio molecular dynamics calculation via the Feynman path-integral formulation of quantum statistical mechanics. Important algorithmic advances needed to accelerate the convergence of the calculations will be discussed as well as approximation dynamical path-in...

Creator:

Tuckerman, Mark E. (New York University)

Created:

2008-12-07

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Ablative Rayleigh-Taylor (R-T) instability is a special feature of the acceleration phase in inertial confinement fusion (ICF). Ablation stabilizes the disturbances with small wavelength, introducing a marginal wavelength. Due to a large temperature ratio, the conduction length-scale varies strongly across the wave, and the attention is limited ...

Creator:

Clavin, Paul (UMR CNRS-Universites d'Aix-Marseille I&II)

Created:

2008-07-15

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Joint work with I Vitebskiy.Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively differentfrom any uniform substance. The differences are particularly pronounced when the electromagnetic wavelengthis comparable to the minimal translation of the periodic structure. In such a case, the periodic medium canno...

Creator:

Figotin, Alexander (University of California, Irvine)

Created:

2006-10-04

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Joint work with Ahmet Ay2, Evan Dayringer2, Rupinder Sayal1, Chichia Chiu2, David N. Arnosti1.Cis regulatory information comprises a key portion of genetic coding,yet despite the abundance of genomic sequences now available,identifying and characterizing this information remains a majorchallenge. We are pursuing a unique "bottom-up" approach to ...

Creator:

Fakhouri, Walid (Michigan State University)

Created:

2008-03-04

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Joint work with Sven Leyffer (Argonne National Laboratory)and Emilie Wanufelle (University of Namur).Motivated by problems related to power systems analysis which give riseto nonconvex mixed integer nonlinear programming (MINLP) problems,we propose a global optimization method based on ideas and techniquesthat can be easily extended to handle a ...

Creator:

Sartenaer, Annick (Facultés Universitaires Notre Dame de la Paix (Namur))

Created:

2008-11-18

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In these two lectures, I will give a introduction to a few dissipative stochastic partial differential equations including existence and uniqueness of solutions. I try to emphasis what is different phenomenologically between SODEs (Stochastic Ordinary Differential Equations) and SPDEs (Stochastic Partial Differential Equations) when viewed as st...

Creator:

Mattingly, Jonathan C.

Created:

2013-01-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The talk will briefly recall the basic features of Virtual Element Spaces, with different types of conformity: H1, H(div), H(curl), etc., together with their Serendipity variants. Special constructions (for incompressible fluids or for Hellinger-Reissner formulations of Elasticity) will also be mentioned, together with some hints on the actual a...

Creator:

Brezzi, Franco (Istituto di Matematica Applicata e Tecnologie Informatiche)

Created:

2017-06-30

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Functions and theirepigraphs, convexity and semicontinuity.Set convergence and epigraphical limits. Variational geometry,subgradientsand subdifferential calculus.

Creator:

Wets, Roger J.B. (University of California, Davis)

Created:

2010-10-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We study a Helmholtz-type spectral problem in a two-dimensional medium consisting of a fully periodic background structure and a perturbation in form of a line defect. The defect is aligned along one of the coordinate axes, periodic in that direction (with the same periodicity as the background), and bounded in the other direction. This setting ...

Creator:

Radosz, Maria (Rice University)

Created:

2016-12-13

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk I shall discuss some recent progresses in developing interior penalty discontinuous Galerkin (IPDG) methods and local discontinuous Galerkin (LDG) methods for high frequency scalar wave equation.The focus of the talk is to present some non-standard (h- and hp-) IPDG and LDG methods which are proved to be absolutely stable (with resp...

Creator:

Feng, Xiaobing Henry (University of Tennessee)

Created:

2010-11-02

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk we describe a mathematical model which couples the educationand labor markets, in which steady-steady competitive equilibria turn out to be characterized as the solutions to an infinite-dimensional linear program and its dual. In joint work with Erlinger, Shi, Siow and Wolthoff, we use ideas from optimal transport, to analyze this p...

Creator:

McCann, Robert (University of Toronto)

Created:

2015-04-28

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We consider a Cahn-Hilliard functional with long-range interactions. This functional was introduced as a qualitative way of modeling self-assembly of diblock copolymers. We will consider the phase diagram from the point of view of numerical simulations. We will also describe analytical work, via Gamma convergence, on the asymptotics of the energ...

Creator:

Choksi, Rustum (Simon Fraser University)

Created:

2009-03-25

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We survey rigorous, formal, and numerical results on the formation ofpoint-like singularities (or blow-up) for a wide range of evolutionequations. We use a similarity transformation of the original equation withrespect to the blow-up point, such that self-similar behaviour is mapped tothe fixed point of an infinite dimensional dynamical system. ...

Creator:

Eggers, Jens (University of Bristol)

Created:

2008-07-14

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

A long literature has illustrated the potentially severe consequences of subversion of feedback control within electric power grids, well before Stuxnet brought wide attention to the threat of industrial control system cyber-attacks. The electromechanical dynamics of the power system make it uniquely vulnerable. Power grids typically possess lig...

Creator:

DeMarco, Christopher L. (University of Wisconsin, Madison)

Created:

2016-05-10

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk we present two intimately related approaches in speeding-up molecular simulations via Monte Carlo simulations.First, we discuss coarse-graining algorithms for systems with complex, and often competing particle interactions, both in the equilibrium and non-equilibrium settings, which rely on multilevelsampling and communication. Seco...

Creator:

Katsoulakis, Markos A. (University of Massachusetts)

Created:

2010-10-22

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

PhotoAcoustic Tomography (PAT) has become established as a significant imaging modality allowing the qualitative imaging in 3D of absorbed optical energy in the visible and near-infrared range, with high resolution, by exploiting the conversion of optical to acoustic energy and the discontinuity preserving propagation of ultrasound under the ass...

Creator:

Arridge, Simon (University College London)

Created:

2019-04-29

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The current trends in processor architecture design are driven by the end of so called era of Dennard scaling in around 2005. Thermal power dissipation issues associated with increasing processor clock frequency has instead led to processors being designed with many compute cores equipped with ever more numerous and wider vector units. The adven...

Creator:

Warburton, Timothy C. (Rice University)

Created:

2014-10-15

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this survey talk, I collect a lot of results from discrete and computational geometry, explaining the special role that 'touchings' (tangencies) play in te subject. These questions contributed to the early development of the theory of Davenport-Schinzel sequences, algorithmic motion planning, geometric graph theory, and incidence geometry. We...

Creator:

Pach, Jà¡nos (École Polytechnique Fédérale de Lausanne (EPFL))

Created:

2014-11-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The crocodilia have multiple interesting characteristics thataffect their population dynamics. They are among severalreptile species which exhibit temperature-dependent sexdetermination (TSD) in which the temperature of eggincubation determines the sex of the hatchlings. Their lifeparameters, specifically birth and death rates, exhibitstrong age...

Creator:

Gallegos, Angela C. (Occidental College)

Created:

2009-04-03

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk we propose a probabilistic interpretation of the parameters in the system of differential equations describing a complex cellular brain metabolism model. Uncertainty in the parameter values, variability of the data over a population and errors in the collected data contribute to the variance of the distributions of the parameters. M...

Creator:

Calvetti, Daniela (Case Western Reserve University)

Created:

2010-10-20

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The accumulation of photon impacts on a surface is the essence of photography. We will investigate the use of acumulation for both image and video fusion/restoration. Registration and patch based methods will be compared for several applications.

Creator:

Buades, Antoni (Université de Paris V (René Descartes))

Created:

2011-03-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We consider a noisy observerfor an unknown solution u(t) of a deterministic model.The observer is a stochastic model similar to the original one,and it arises as a limit of frequent observations in filtering.Here noisy observations of the low Fourier modes of u(t)together with knowledge of the deterministic model are used to trackthe unknown sol...

Creator:

Blömker, Dirk (Universität Augsburg)

Created:

2012-10-24

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Model order reduction is a pervasive and necessary activity in materials research. However, even though reduced order models are never perfect, their "imperfection" is almost never accounted for. In this talk, I will give an example of how the quality of an inference in materials research may be improved by accounting for the imperfection of a r...

Creator:

Demkowicz, Michael J (Massachusetts Institute of Technology)

Created:

2013-12-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Nanofiltration (NF) using membranes with numerous nanopores has gained its popularity in water treatment like desalination. Overlapped electric double layer (EDL) in charged nanopores makes the membrane to be ion selective and reach high rejection rate for salts when driving electrolyte through nanopores by pressure. It has its advantage over re...

Creator:

Horng, Tzyy-Leng (Feng Chia University)

Created:

2015-07-22

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Symbioses of grasses and fungal endophytes constitute aninteresting modelfor evolution of mutualism and parasitism. Grasses of allsubfamilies canharbor systemic infections by fungi of the familyClavicipitaceae. SubfamilyPoöideae is specifically associated with epichloÃ«endophytes (speciesof EpichloÃ« and their asexual derivatives, the Neotyphodi...

Creator:

Yoshida, Ruriko (University of Kentucky)

Created:

2007-03-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Joint work with Michael Armbruster (TU Chemnitz), Marzena Fuegenschuh (TU Darmstadt), and Alexander Martin (TU Darmstadt).Semidefinite relaxations are known to deliver good approximationsfor combinatorial optimization problems like graph bisection. Usingthe spectral bundle method it is possible to exploit structuralproperties of the underlying p...

Creator:

Helmberg, Christoph (Technische Universität Chemnitz-Zwickau)

Created:

2008-11-19

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We present a general comparison inequality between positively associated and independently distributed random variables, generalizing the Gaussian comparison inequality. The proof uses several combinatorial identities and the property of positive association. We also provide applications where the maxima of correlated r.v.s behaves in the same w...

Creator:

Dey, Partha Sarathi (University of Illinois at Urbana-Champaign)

Created:

2015-04-29

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

After a brief overview of electrohydrodynamics including Maxwell's electric stress tensor under AC fields where the medium has both conductive and dielectric characteristics, we focus on the problem of electrowetting actuation of sessile drops on a patterned array of electrodes with a thin dielectric coating. For both the case when the drop is e...

Creator:

Nadim, Ali (Claremont Graduate University)

Created:

2009-03-24

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

A prominent concern, in the age of machine learning and data analysis, is that left to their own devices, algorithms will propagate - even amplify - existing biases. Common definitions of fairness are group-based, typically requiring that a given statistic be equal across a few demographic groups, socially identified as deserving protection. Suc...

Creator:

Reingold, Omer (Stanford University)

Created:

2019-06-19

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Kinetochores are nano-structures that mechanically couple chromosomesto dynamic microtubules to generate the forces necessary for properchromosome segregation during mitosis. Recent studies reveal newdetails of the kinetochore's molecular composition and structure,demonstrating the mechanically compliant nature of the kinetochorelinkage to the m...

Creator:

Odde, David J. (University of Minnesota, Twin Cities)

Created:

2013-05-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

This talk will discuss a substantial interplay of algebraic topology with numerical analysis which has developed over the last decade. During this period, de Rham cohomology and the Hodge theory of Riemannian manifolds have come to play a crucial role in the development and understanding of computational algorithms for the solution of problems i...

Creator:

Arnold, Douglas N. (University of Minnesota, Twin Cities)

Created:

2013-10-28

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.