
A Parallel Solver for 3D FullStokes Ice Sheet Modeling: Simulation results of the temperature evolution of a Greenland ice sheet after 10 years (Ju et al.). A Parallel Solver for 3D FullStokes Ice Sheet Modeling: Zoomin of a region close to the ice sheet edge (Ju et al.). Time evolution of “trident”shaped branched
tube formation via fusion of uniluminal vascular
spheroids in a KMC simulation. Top: the
crosssectional views. Red: smooth muscle
cells; Green: endothelial cells; Blue: lumen
particles (see enlargement). Bottom: the external
views. (Y. Sun, X. Yang and Q. Wang) Computational Analysis of Biofabrication Morphogenesis of a Branching Vascular Construct: Vascular construct made of a layerbylayer deposition in a designed Yshape pattern (Q. Wang et al.). Fifth Roots: Take a random walk in the complex plane starting from 0, each step an equiprobable fifth root of unity. Ten steps later, there's a circle centered at your destination whose area is proportional to your probability of being there. Other than two minor modifications (taking the fifth power of all points and inflating the atom at zero), this is the distribution of complex homogeneous eigenvalues of the allones 10X10X10X10X10X10 hypermatrix. (Joshua Cooper with Aaron Dutle.) Monochromatic Boxes in Color Grids: What is the size of the smallest box (left) so that, if the elements are colored with two colors, there must be a nontrivial "subgrid" (right) all in one color? (See Cooper et al.) Adaptivity and Variational Stabilization for ConvectionDiffusion Equations: Every fourth adaptive cycle of Algorithm 1 with modification at the outflow boundary starting from cycle 3 for the test problem (3.25) with $\epsilon = 5 \cdot 10^{3}$. The first row depicts the finite element solution $u _ h$. The second row displays the corresponding grids of $u _ h$. (See Cohen et al.) Adaptive PetrovGalerkin Methods for First Order Transport Equations: The 18th iterate of the adaptive solver and corresponding grid of model problem (6.1) with Algorithm 5.3 with $X _ h = P _ {1,T _ h}, Z _ h = P _ {3,T _ {h/8}}$ and $K = 9$ (See Dahmen et al.). Cluster analysis: indicating 9 separate clusters based upon percentage in poverty, percentage uninsured, and percentage unemployed, displayed according to their geographic location. (See K.J. Bennett, M. Yuen and F. BlancoSilva)
Project Highlights
 IMI  from Foundations to Challenging ApplicationsA video overview of the IMI created as one of the WEB TV materials of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019). 
 Evaluating Geodetic QuantitiesA team from the University's Interdisciplinary Mathematics Institute (IMI) has developed an algorithm and software in FORTRAN and MATLAB for fast and accurate evaluation of gravimetric quantities represented in high degree (> 2000) spherical harmonics at arbitrary scattered points in the space above the surface of the Earth. For more information and to download the program, visit the project's website. 
 Digitizing Optical Sound TracksThe University of South Carolina Moving Image Research Collections (MIRC) is collaborating with research faculty from the University’s Interdisciplinary Mathematics Institute (IMI) to develop an opensource software application to directly reproduce the optical sound tracks of motion picture films from digital scans producing, as a result, a synchronized sound film file. For more information and to download the opensource software, please visit the project's website. 

News Highlights

Special Announcements
 Congratulations to our 2018 SPARC Graduate Research Grant Recipients!Each year, the Office of the Vice President for Research offers the SPARC (Support to Promote Advancement of Research and Creativity) Graduate Research Grant program for graduate students from all areas of study. This meritbased award funds the most competitive applications for research, creative or other meritorious scholarly projects, providing up to $5,000 to each successful graduate student applicant. Of the 54 students from 10 different academic units who have been awarded SPARC grants for 20172018, 4 are from the Department of Mathematics (see SPARC recipients: ):  Candace Bethea, The Degree Map in Algebraic Geometry, Advisor: Jesse Kass
 Alicia Lamarche, Exceptional Collections of the Toric Variety Associated to $D _ 4$, Advisor: Matthew Ballard
 Hays Whitlatch, Phylogenetic Distribution of Mitochondrial Genome, Advisor: Joshua Cooper, IMI
 Duncan Wright, Entropy of Quantum Random Walks, Advisor: George Androulakis
CONGRATULATIONS to Candace, Alicia, Hays and Duncan! 
 "Reel Life" with Greg WilsbacherGreg Wilsbacher (University Libraries), leadPI on a project with Pencho Petrushev (IMI), was featured in a video interview for @UofSC, where he discusses the University of South Carolina Moving Image Research Collections  considered one of the top 10 archives of its type in the nation  and specifically, the Fox Movietone News collection, which he curates. Wilsbacher is working with a team from IMI to develop an opensource software application to directly reproduce the optical sound tracks of motion picture films from digital scans producing, as a result, a synchronized sound film file. 
 CAS Research Computing CenterThe College of Arts and Sciences (CAS) Research Computing Center (RCC) provides high performance computing and visualization resources (including assistance with the Computational Graphics Lab of the IMI), access to software, workshops, oneonone consulting with domain experts, and complete data management strategies to researchers across all departments and divisions within the College. For more information, please contact the Head of Research Computing, Jun Zhou ( Zhouj@mailbox.sc.edu ) or visit: http://artsandsciences.sc.edu/technology/researchhome 

Upcoming Events
Discrete/Combinatorics Seminars:
Trevor Olsen
"TBA"
Discrete/Combinatorics Seminars:
"TBA"
Discrete/Combinatorics Seminars:
Heather Smith
"TBA"
Discrete/Combinatorics Seminars:
"TBA"
Discrete/Combinatorics Seminars:
Hays Whitlatch
"TBA"
Discrete/Combinatorics Seminars:
Rigoberto Flórez
"TBA"
Full Calendar >>


