2020 Faculty and Student Summer Talks
Talks will be held at 2PM on Tuesdays (T) and Thursdays (R) via WebEx. Please see more information below:
Talks will be held at 2PM on Tuesdays (T) and Thursdays (R) via WebEx. Please see more information below:
Meeting number (access code): 925 459 487
Meeting password: 68VBq84UJhF
Meeting Link : https://njit.webex.com/njit/j.php?MTID=m52fd905ec633bb19220408ae482d22db
Date  Day  Speaker, Title, and Abstract 

June 2  T 
Ryan Allaire Thermal Effects in Nanoscale Thin Liquids Heated by a Laser with Applications to Liquid Metal Assembly Thin film dynamics, particularly on the nanoscale, is a topic of extensive interest. The process by which thin liquids evolve is far from trivial and can lead to dewetting and drop formation. Not only does it involve
Tadanaga Takahashi Decomposition for a Wave Scattering Problem Multimedium EM wave scattering poses numerical challenges due to the duality of the unbounded domain and the nonuniform bounded domains. Domain decomposition addresses the problems with the illposed system, spurious solutions, and poor scaling with wave frequency. The formulation and discretization of the scattering problem is discussed.

June 4  R 
Professor David Shirokoff Stability and Numerics in Differential Equations In this talk, I will survey several ongoing projects advancing the stability and accuracy in numerical differential equations. The first part of the talk will present a new unconditional stability theory for implicitexplicit (IMEX) time integration methods. IMEX methods have become a popular choice for integrating large scale PDEs as they allow for some terms to be treated implicitly (to ensure stability) while leaving other terms explicitly (for efficiency). The theory characterizes the loss of stability in high order methods and can be used to overcome stability limitations in existing methods. The second part will outline a new theory (weak stage order) to overcome order reduction in RungeKutta (RK) schemes. Order reduction currently limits the use of high order RK schemes in scientific computing problems. The third part of the talk will present results in applying polynomial optimization to compute (first order) phase transitions in molecular dynamics. First order phase transitions are difficult to characterize as they arise as instabilities (similar to a global bifurcation) in stochastic differential equations. 
June 9  T 
Professor Enkeleida Lushi Microswimmers Moving in Complex Confinement Interactions between microswimmers and solid boundaries play an important role in many biological and technological processes. I will discuss recent results in experiments and simulations that aim to understand the motion of microswimmers such as bacteria, microalgae, spermatozoa or active colloids in various confinements or structured environments. Our results highlight the complex interplay of the fluidic and contact interactions of the individuals with eachother and the boundaries to give rise to complex individual and collective behavior.
Lauren Barnes Image Analysis of ColloidPolymer Mixtures in Microgravity Colloidal particles are of great interest in industrial applications involving materials engineering, pharmaceutics, and electronics. Much of their value lies in their phase transition behavior, which exhibits striking similarities to phase transitions of systems on a molecular and even atomic scale and thus provides insight into systems that are otherwise difficult to observe. The growth of such colloidal crystals is often studied in a microgravity environment in order to minimize the effect of gravity on the system. For this reason, experiments on phase transitions of colloidpolymer mixtures have been performed by NASA onboard the ISS, providing plentiful images showing the formation and evolution of crystal structures in time. By analyzing these images in such a way as to characterize the size of crystalline domains, we seek to obtain a quantitative description of the time evolution of the colloidal crystal growth process.
Emel Khan Dynamics of a Cyanobacterial Circadian Clock Model Circadian rhythms are daily oscillations that occur in a variety of living organisms including animals, plants, fungi, and cyanobacteria. Our focus is on circadian rhythms in cyanobacteria, whose core clock is comprised of just three proteins, KaiA, KaiB, and KaiC. When these proteins are mixed with ATP in a test tube, KaiC phosphorylates and dephosphorylates in an oscillatory manner with a period near 24 hours. Rust et al. have developed an ODE model of this in vitro oscillator, however some aspects of the model’s behavior do not match experimental data. Specifically, when the concentration of the KaiA protein is increased, the period of circadian oscillations in the Rust model increases, while experimentally it has been observed that increasing KaiA shortens the period of oscillations. We address this issue by developing a lowerdimensional version of the Rust model and then using dynamical system tools such as phase plane analysis and geometric singular perturbation theory to identify which components of the model are responsible for the discrepancy between the model’s behavior and experiments.

June 11  R 
Professor Cyrill Muratov The Mathematics of Charged Liquid Drops In this talk, I will present an overview of recent analytical developments in the studies of equilibrium configurations of liquid drops in the presence of repulsive Coulombic forces. Due to the fundamental nature of Coulombic interaction, these problems arise in systems of very different physical nature and on vastly different scales: from femtometer scale of a single atomic nucleus to micrometer scale of droplets in electrosprays to kilometer scale of neutron stars. Mathematically, these problems all share a common feature that the equilibrium shape of a charged drop is determined by an interplay of the cohesive action of surface tension and the repulsive effect of longrange forces that favor drop fragmentation. More generally, these problems present a prime example of problems of energy driven pattern formation via a competition of longrange attraction and longrange repulsion. In the talk, I will focus on two classical models  Gamow's liquid drop model of an atomic nucleus and Rayleigh's model of perfectly conducting liquid drops. Surprisingly, despite a very similar physical background these two models exhibit drastically different mathematical properties. I will discuss the basic questions of existence vs. nonexistence, as well as some qualitative properties of global energy minimizers in these models, and present the current state of the art for this class of geometric problems of calculus of variations.
Axel Turnquist Elliptic PDE and Some Regularity Questions We desire to solve the MongeAmp\'{e}re, a fully nonlinear secondorder elliptic PDE, on the unit sphere using numerical schemes. In order to prove a convergence of the scheme, it is important to understand the function space we expect the solution to be in: this is the realm of regularity theory of elliptic PDE. In order to understand the regularity theory for our PDE, it requires a fundamental understanding of how nonlinearity, the degree of the PDE, the property of uniform ellipticity, and the geometry of the sphere all affect the regularity of the solution. This leads us to an examination as to what it means fundamentally to be an elliptic PDE, and why the conditions we commonly see in the literature are so important conceptually. This also leads us to examine some more technical cases that extend beyond the usual classical literature, and their ramifications.

June 16  T 
Professor Linda Cummings Wetting and Dewetting of Nanoscale Nematic Liquid Crystal Films The evolution of ultrathin films (tens of nm) of nematic liquid crystals (NLCs) is considered. Such freesurface films can undergo complex dewetting behavior, as observed in experiments. We present a simplified thinfilm model for the free surface evolution that includes strong spatiallyvarying planar anchoring at the substrate, and weak antagonistic anchoring at the free surface. A number of largescale simulations are presented, showing good qualitative agreement with experiments. Ongoing work including the effect of spatiallyvarying electric fields on film evolution is briefly highlighted.
Rituparna Basak Application of Machine Learning Techniques for the Stick Slip Dynamics of a Particulate Media The stickslip transition of granular systems is related to earthquakes and avalanches, and therefore understanding the conditions leading to slip events is of general importance. We studied different machine learning techniques to the analysis of topological data such as force network and persistence diagrams evolving from discrete element simulations of granular systems to understand the stickslip behavior. We will discuss the potential of machine learningbased methods to predict slips in the considered system.

June 18  R 
Chao Cheng The Force Network Precursors to Slip Events in Sheared Granular Systems The stickslip transition of granular systems is related to earthquakes and avalanches, and therefore understanding the conditions leading to slip events is of general importance. Although stickslip behavior has been studied extensively, what triggers a slip event still remains unclear. The purpose of our study is to explore the existence of precursors to slip events. For this purpose, we study a sheared system in a stickslip regime via twodimensional discrete element simulations. Particular focus is on the evolution of force networks before and during slip events. We apply the persistence diagrams and other classic measures to the force networks' evolution of slip events. Persistence homology to granular systems can reveal the changes in the topological structure of the force networks, which can be shown that relate the macro behavior of the system. We will show that some features of force network evolution could be used to gain insight into the occurrence of a slip event.
Guangyuan Liao Model Reduction Techniques for Coupled Circadian Oscillators The circadian rhythm refers to an internal body process that regulates many body processes including the sleepwake cycle, digestion and hormone release. The ability of a circadian system to entrain to the 24hour lightdark cycle is one of the most important properties. There are several scenarios in which circadian oscillators do not directly receive lightdark forcing. Instead they are part of hierarchical systems in which, as “peripheral” oscillators, they are periodically forced by other “central” circadian oscillators that do directly receive light input. Such dynamics are modeled as hierarchical coupled limit cycle systems. Those models usually have a large population, and are nonautonomous. Direct simulations usually are incapable of understanding the full dynamics of such models. One topic of this talk is to apply proper mathematical methods on simplification of the original systems. A phase reduction method is applied for reducing the original system to phase model. A parameterization method is introduced for simplifying such systems, and it is also applied for computing invariant manifolds of some biological oscillators. Another topic of this talk is to develop new tools. A novel tool, entrainment map, is developed. Compared with direct simulations, the map has great advantages of describing the conditions for existence and stability of the limitcycle solutions, studying the bifurcations on forcing strength and coupling strength. It is also more practical to calculate the entrainment times by just iterating the map than direct simulations.
Diego Rios Sound Propagation Modeling for Geoacoustic Inversion A sound source is transmitting acoustic signals in an oceanic environment that are received at vertically separated hydrophones in the water column. Using ray theory, we focus on four travel paths the emitted signal travels by and generate replica arrival times, which will allow for the inverse problem to be solved. This problem is simply the estimation of parameters that affect sound propagation by employing mathematical propagation modeling and received data. The generated arrival times will eventually be compared with arrival time estimates obtained from recorded timeseries, allowing us to estimate properties of the seabed such as thickness and sound speed. Challenges in the estimation of the arriving times of the travel paths (especially of the one that propagates through the sediment) will be discussed.

June 23  T 
Connor Robertson Discovering the Governing PDE of an Active Nematic System from Video Data Recent experimental advances have uncovered complex systems that have challenged traditional modeling techniques. In parallel, various methods have been created to extract the governing equations of a system directly from experimental data. In this talk, I will discuss one such datadriven method called "PDEFind," and will use it to model assemblies of microtubules and motor proteins at a fluid interface. Various PDE models based on physical principles have been proposed for this system, but none fully capture its dynamics. First, I will describe the accuracy and robustness of PDEFind for the simplified task of reconstructing one of these models from simulation data with artificially added noise. I will then discuss future steps for producing a model directly from experimental data.
Soheil Saghafi Entrainment of Periodically Forced FitzHugh Nagumo Model Entrainment is typically defined as the synchronization of a selfsustained oscillator to external periodic forcing. Thisphenomenon is ubiquitous in biological systems. The concept of entrainment is less welldefined when the unforced system does not exhibit selfsustained oscillations. In the context of neuroscience, neurons exhibit a variety of intrinsic dynamics including limit cycleoscillations, damped oscillations, and nonoscillatory depolarized or hyperpolarized steady states. We would like to compare and contrast the entrainment properties of neurons in these distinct regimes. To do this, we study aperiodically forced piecewiselinear model of FitzHughNagumo type, which is a twodimensional simplification of the HodgkinHuxley model of neuronal action potential generation. 
June 25  R 
Gan Luan Parameter Estimation and Inference of Spatial Autoregressive Model by Stochastic Gradient Descent Many data contain spatial components, and it is important to consider spatial correlation in modeling and parameter estimation. Spatial autoregressive (SAR) model is often used to modeling these data. Parameters of SAR model are mainly estimated by maximum likelihood method (based on profile likelihood). However, no closed form of MLE exits, and it cannot scale up well due to heavy computation involved in numerical methods used for parameter estimation. What’s more, since profile likelihood is used, estimators are often biased. Stochastic gradient descent (SGD) is a desirable method for model parameter estimation in largescale data and online learning settings, since it goes through the data in only one pass. Although many studies regarding SGD have been conducted, application of SGD for spatial models is still not common. In this talk, I consider spatial lattice data and use averaged SGD for model parameter estimation. Genuine likelihood rather than profile likelihood is used. Also, a bootstrap procedure is used to conduct inferences based on SGD estimator. This inference procedure updates SGD estimates, and at the same time generates many randomly perturbed SGD estimates for each observation. These perturbed estimates can be used to produce confidence intervals. I will present results of simulation studies and the asymptotic properties of these procedures.

June 30  T 
Professor Brittany Hamfeldt Convergent Numerical Methods for Optimal Transport The problem of optimal transportation, which involves finding the most costefficient mapping between two measures, arises in many different applications. However, the numerical solution of this problem remains extremely challenging and standard techniques can fail to compute the correct solution. Recently, several methods have been proposed that obtain the solution by solving the MongeAmpere equation, a fully nonlinear elliptic partial differential equation (PDE), coupled to a nonstandard implicit boundary condition. Unfortunately, standard techniques for analyzing numerical methods for fully nonlinear elliptic equations fail in this setting. We introduce a modified PDE that couples the usual MongeAmpere equation to a HamiltonJacobi equation that restricts the transportation of mass. This leads to a simple framework for guaranteeing that a numerical method will converge to the true solution, which applies to a large class of approximation schemes. We describe some simple examples. A range of challenging computational examples demonstrate the effectiveness of this method, including the recent application of these methods to problems in beam shaping and seismic inversion.
Yinbo Chen ClosedForm Approximations of SingleChannel Calcium Nanodomains in the Presence of Cooperative Calcium Buffers Calcium ion (Ca2+) elevations produced in the vicinity of single open Ca2+ channels are termed Ca2+ nanodomains and play an important role in triggering secretory vesicle exocytosis, myocyte contraction, and other fundamental physiological processes. Ca2+ nanodomains are shaped by the interplay between Ca2+ influx, Ca2+ diffusion and its binding to Ca2+ buffers, which absorb most of the Ca2+ entering the cell during a depolarization event. In qualitative studies of local Ca2+ signaling, the dependence of Ca2+ concentration on the distance from the Ca2+ channel source can be approximated with a reasonable accuracy by analytic approximations of quasistationary solutions of the corresponding reactiondiffusion equations. Such closedform approximations help to reveal the qualitative dependence of nanodomain characteristics on Ca2+ buffering and diffusion parameters, without resorting to computationally expensive numerical simulations. Although a range of nanodomain approximations had been developed for the case of Ca2+ buffers with a single Ca2+ binding site, for example the Rapid Buffer Approximation, the Excess Buffer Approximation, and the Linear approximation, most biological buffers have more complex Ca2+binding stoichiometry. Further, several important Ca2+ buffers and sensors such as calretinin and calmodulin consist of distinct EFhand domains, each possessing two Ca2+ binding sites exhibiting significant cooperativity in binding, whereby the affinity of the second Ca2+ binding reaction is much higher compared to the first binding reaction. To date, only the Rapid Buffer Approximation (RBA) has been generalized to Ca2+ buffers with two binding sties. However, the performance of RBA in the presence of cooperative Ca2+ buffers is limited by the complex interplay between the condition of slow diffusion implied by the RBA, and the slow rate of the first Ca2+ binding reaction characterizing cooperative Ca2+ binding. To resolve this problem, we present modified versions of several Ansatzes recently introduced for the case of simple buffers, extending them to the case of Ca2+ buffers with 2to1 stoichiometry. These new approximants interpolate between the shortrange and longrange distancedependence of Ca2+ nanodomain concentration using a combination of rational and exponential functions. We examine in detail the parameterdependence of the approximation accuracy and show that this method is superior to RBA for a wide ranges of buffering parameter values. In particular, the new approximants accurately estimate the distancedependence of Ca2+ concentration in the case of calretinin or calmodulin.

July 2  R 
Zhoncheng Lin Some Properties of Bivariate Archimedean Copula Models Under Left Censoring Many models have been proposed to model multivariate survival data, and Archimedean copula models have been more popular choices. In this talk, we will assume that two failure time variables can be modelled by Archimedean copula model and they are subject to dependent or independent left censoring respectively. Some distributional results for their joint cdf under different censoring patterns will be presented. Those results are expected to be useful in both model fitting and checking procedures for Archimedean copula models with bivariate leftcensored data. As an application of the theoretical results we obtained, a moment estimator of the dependence parameter in Archimedean copula models will be proposed as well, and some simulation studies have been performed to demonstrate our parameter estimation method.
Linwan Feng Numerical Methods for the Dispersive Shallow Water Equations This talk focuses on developing efficient and stable [high order] timestepping strategies for the dispersive shallow water equations (DSWE)with different bathematry. The DSWE extends the regular shallow water equations to include the dispersive effect which can maintain the shape of the wave when solving the system. With high accuracy pseudospectral method to discretize the space, the dispersive effect limits the choice of the timestepping method. Different bathematry also make the dispersive shallow water equations appear differently. By discussing the stiffness of the bathematry, there are several types of equations which can be obtained with corresponding bathematry assumptions. And all of them can be solved with the chosen timestepping methods. In this talk, the system are treated as differentialalgebraic equations. Then two strategies can be applied to solve the algebraic constrains: (i) preconditioning iterative methods to invert the semilinear operator which contains the dispersive effect; (ii) semiimplicit time stepping (ImEx) methods that bypass a full inversion of the operator (and do not require subiterations). Guaranteeing stability for the semiimplicit approach is a nontrivial issue due to the fact that certain stiff terms in the equations are treated explicitly. A stability theory is provided which outlines how to choose the semiimplicit terms in such a way to guarantee numerical stability. 
July 7  T 
Professor Shahriar Afkhami Numerical Algorithms for MultiScale Viscoelastic Flows In everyday life, we encounter materials that show viscoelastic behavior; materials that exhibit both liquid and solid like behavior. Macromolecules, such as synthetic polymers, and almost all biological tissues, such as cells, structural proteins, and skin tissue, for example, show viscoelasticity. Many models (constitutive laws) exist that describe the viscoelastic behavior; they generally represent the collective dynamical response of polymer microstructures to macroscopic deformation. In this talk, I will present a multiscale algorithm, by means of the coupling of the continuum formulation on the macroscopic level, without a particular constitutive law associated with the viscoelastic fluid, with the mesoscopic computations based on the microstructure dynamics of polymer molecules. This multiscale approach poses significantly more challenging computational issues, since tracking individual molecules is computationally costly and requires solving a stochastic differential equation. I will propose a multiresolution adaptive mesh refinement to reduces the number of individual molecules on the spatial grid. I will also propose to adapt the stochastic grid when solving the stochastic differential equation to adaptively refine the number of stochastic samplings required for a specified accuracy. Finally, I will discuss a Machine Learning approach to speed up the computations: the approach is based on using highfidelity data to compute a set of initial training data, and then using a regression process to predict the constitutive function. The computed viscoelastic stresses from the previous step are then compared with the stresses computed from the highfidelity data, to obtain the next optimal sampling data.
Ziyan Guo Motivation & Brief Report on Projects of Competing Risks In multivariate analysis, it is often a very difficult problem to model nonnormal multivariate data. “Copulas” are multivariate probability distributions which are used to describe the dependence between random variables. Many different ways to construct nonsymmetric Archimedean copulas were introduced. However, most of them are not very flexible. We aim to construct general models allowing arbitrary selection of pairwise correlation which is desired in our practical applications. We also derive the copulagraphic estimator (Zheng and Klein 1996) for marginal survival functions using Archimedean copula models based on competing risks data subject to univariate right censoring and prove its uniform consistency and asymptotic properties. We then propose a parameter estimation strategy to analyze the semicompeting risks data using Archimedean copula models. Our method is flexible in that it allows us to determine dependence levels between competing risks when two dependent competing risks are subject to independent censoring. Based on our estimation strategy, we propose a new model selection procedure. We also describe an easy way to accommodate possible covariates in data analysis using our strategies. Simulation studies have shown that our parameter estimate outperforms the estimator proposed by Lakhal, Rivest and Abdous (2008) for the Hougaard model and the model selection procedure works quite well. Yasser Almoteri
Bacterial Motion and Spread in Porous Media
I will discuss a continuum model that describes the collective dynamics of microswimmers such as bacteria through a porous wet material. The motion of the swimmer suspension is coupled to the fluid dynamics that is modeled through a StokesBrinkman equation with an added active stress. The linear stability of the uniform isotropic state reveals that the suspension transitions from a longwave instability to a midrange one where the socalled bacterial “turbulence” is weakened. Simulations of the full nonlinear system confirm the analytical results. I will discuss the dynamics of a bacterial suspension through a structured surface. Last, I will talk about the chemotactic motion of a microswimmer suspension in a porous material and discuss similarities and differences with experimental results of E Coli spread in gel packings.

July 9  R 
Yixuan Sun Membrane Filtration with Multiple Species of Particles Membrane filtration is widely used in many applications, ranging from industrial processes to everyday living activities. Fouling is an unavoidable part of filtration and understanding the particle fouling mechanism is critical for improving the filtration performance and avoiding filtration failure, hence this is a topic of much ongoing research. Experimental studies can be very valuable, but are expensive and timeconsuming, therefore theoretical studies offer potential as a cheap and predictive way to improve on current filter designs. The majority of theoretical and experimental research focuses on filtration of suspensions that consist of chemically homogeneous particles. In this work we propose a model for filtration of a suspension containing an arbitrary number of particle species, each with different affinities for the filter membrane. We present preliminary results showing how the presence of additional species can change filtration outcomes. In addition, a model for screening (shielding) effect is proposed.
Ruqi Pei A New Panelbased scheme for the Discretization of Boundary Integral Equations Boundary integral equations and Nystr\"om discretization methods provide a powerful tool for computing the solution of Laplace and Helmholtz boundary value problems (BVP). Using the fundamental solution (freespace Green's function) for these equations we can convert such problems into boundary integral equations, thereby reducing the dimension of the problem. The resulting geometric simplicity and reduced dimensionality allow for highorder accurate numerical solutions with greater efficiency than standard finitedifference or 
July 14  T 
Atefeh Javidialsaadi Model Checks for TwoSample LocationScale Twosample locationscale refers to a model that permits a pair of standardized random variables to have a common distribution. Functionbased hypothesis testing in these models refers to formal tests that would help decide whether or not two samples may have come from some locationscale family of distributions. For uncensored and censored data, a comparison between two approaches of testing, one based on empirical characteristic functions (ECFs) and another on plugin empirical likelihood (PEL), is carried out. Sample means and standard deviations are used as plugins for both approaches. Results of numerical studies are reported.
Beibei Li On Weighted Holm Procedures In many statistical applications, such as clinical studies and a genomewide association study (GWAS), it often happens that some hypotheses are more important than the others, which suggests us to assign different weights to hypotheses according to their different importance. Recently, many weighted procedures have been developed for controlling the familywise error rate (FWER) when conducting multiple hypotheses testing. Among these procedures, weighted Holm procedures are the most popular and easy to be applied without any assumption of dependence structure. There are two common weighted Holm procedures. One is based on ordered weighted pvalues that we called WHP; the alternative weighted Holm procedure that is based on ordered original pvalues is named WAP. The objective of this project is to study these two weighted Holm procedures and make recommendations for their use. In this talk, by constructing and comparing their corresponding closed testing procedures, graphical approaches, and adjusted pvalues, we show that WHP is more powerful than WAP. Also, we provide a theoretical result that WHP is an optimal procedure in the sense that the procedure cannot be improved by increasing even one of its critical values without losing control over the FWER. Simulations were conducted to provide numerical evidence of superior performance of WHP in terms of the FWER controlling and average power.
Yuexin Liu How to Train Stokes Swimmer Using Machine Learning Machine learning has been applied to an increasing range of physics and engineering, and recently it has been applied in zeroReynolds number flow for flow control and designing of swimmers. Artificial microswimmers in engineering and medical applications such as drug delivery and cell manipulation show great success, however, hydrodynamic interactions in low Reynolds number environments and the uncontrolled environmental factors will also influence the swimmer’s behavior. Here, we present a reinforcement learning paradigm to design a new set of selflearning, adaptive linear Nswimmer and Nsphere rotator (N=3, 4) in a viscous Stokes fluid. Different from the typical designed autonomous rotators, we do not prescribe any propulsion strategy but allow the rotator to selflearn its own rotating gaits based on its interactions with the surrounding environment through reinforcement learning. We show the ability of the Nsphere rotator to obtain the optimal propulsion policies. Our study illustrates the potential of reinforcement learning in fluid mechanics and provides a new way for designing smart artificial swimmers. 
July 16  R 
Erli WindAnderson Abstract: TBA

July 21  T 
Jimmie Adriazola Abstract: TBA
Kosuke Sugita Abstract: TBA

July 23  R 
Professor James MacLaurin Abstract: TBA
Ryan Atwater Abstract: TBA
Binan Gu
Title: TBA Abstract: TBA 
July 28  T

Brandon Behring Abstract: TBA
Nicholas Dubicki Abstract: TBA

July 30  R 
Professor Zuofeng Shang Abstract: TBA
Hewei Zhang Abstract: TBA

August 4  T 
Professor Christina Frederick Abstract: TBA
Jake Brusca Abstract: TBA
Chhavi Tyagi Abstract: TBA

August 6  R 
Professor Victor Matveev Abstract: TBA
Jose Pabon Abstract: TBA
Subhrasish Chakraborty Abstract: TBA

Updated: July 14, 2020