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VIGRE II: Vertical Integration of Research and Education Department of Mathematics -- University of Georgia |
VIGRE PublicationsPublications Resulting from Research Funded by the VIGRE GrantVIGRE Algebra GroupUniversity of Georgia VIGRE Algebra Group, "First Cohomology of Finite Groups of Lie Type: Simple Modules with Small Dominant Weights", to appear in the Transactions of the AMS. University of Georgia VIGRE Algebra Group, "Second Cohomology of Finite Groups of Lie Type”, Journal of Algebra, 360 (2012), 21-52. University of Georgia VIGRE Algebra Group, "First Cohomology of Finite Groups of Lie Type: Simple Modules with Small Dominant Weights". Submitted. University of Georgia VIGRE Algebra Group, "An Analog of Kostant's Theorem for the Cohomology of Quantum Groups," Proceedings of the AMS, p. 85-99, 138 (2010). Published. University of Georgia VIGRE Algebra Group, "On Kostant's Theorem for Lie Algebra Cohomology," Contemp. Math, p. 39-60, vol. 478 (2009). Published. University of Georgia VIGRE Algebra Group, "Support Varieties for Weyl Modules Over Bad Primes," Journal of Algebra, p.602-633, vol.312 (2007). Published. University of Georgia VIGRE Algebra Group, "Varieties of Nilpotent Matrices for Simple Lie Algebras II: Bad Primes," Journal of Algebra, p. 65-99, vol. 292 (2005). Published. University of Georgia VIGRE Algebra Group, "Varieties of Nilpotent Matrices for Simple Lie Algebras I: Good Primes," Journal of Algebra, p. 719-737, vol. 280 (2004). Published. VIGRE Algebraic Geometry GroupValery Alexeev, Adrian Brunyate, “Extending Torelli Map to Toroidal Compactifications of Siegel Space,” Inventiones Mathematicae, 188 (2012), issue 1, 175-196. arXiv:1105.4384v2 [math.AG] Published. VIGRE Arithmetic Geometry GroupJohn R. Doyle and David Krumm, "Computing numbers of bounded height." Submitted. VIGRE Geometry of Numbers GroupAlexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna, Katherine Keck, Alexander Moore, Zachary Robbins, Brandon Samples and James Stankewicz, "On a Generalization of the Frobenius Number," Journal of Integer Sequences, vol. 13 (2010), Article 10.1.4. VIGRE Geometry GroupJason Cantarella, James Cornish, Matt Mastin, Jason Parsley, “The 27 Possible Intrinsic Symmetry Groups of 2-Component Links.” Symmetry 4, no. 1, p. 129-142 (2012), arXiv:1201.2722. Published. Jason Cantarella and Michael Piatek, "TSNNLS: A Solver for Large Sparse Least Squares Problems with Non-Negative Variables." Submitted. Ted Ashton, Jason Cantarella, Michael Piatek, Eric Rawdon, "Knot Tightening by Constrained Gradient Descent." Preprint. Jason Cantarella, Jason Parsley, "A New Cohomological Formula for Helicity in R^{2k+1} Reveals the Effect of a Diffeomorphism on Helicity," Journal of Geometry and Physics, p. 1127-1155, vol. 60 (2010). Published. Jason Cantarella, Joseph Fu, Rob Kusner, John Sullivan, Nancy Wrinkle, "Criticality for the Gehring Link Problem," Geometry and Topology, p. 2055, vol. 10 (2006). Published. Jason Cantarella, Michael Piatek, and Eric Rawdon, "Visualizing the Tightening of Knots," Proceedings of IEEE Visualization, p. 575 (2005). Published. Ted Ashton and Jason Cantarella, "A Fast Octree-Based Algorithm for Computing Ropelength," Physical and Numerical Models in Knot Theory and Their Applications to the Life Sciences, p.323 (2005). Published. Jason Cantarella, X.W. Faber, Chad Mullikin, "Upper Bounds for Ropelength as a Function of Crossing Number," Topology and Its Applications, p.253, vol. 135 (2003). Published. VIGRE Computations on CM Elliptic Curves GroupPete L. Clark, Patrick Corn, Steve Lane, Alex Rice, Jim Stankewicz, Nathan Walters, Steve Winburn, Ben Wyser, "Computing Torsion Subgroups of CM Elliptic Curves". Submitted. Pete L. Clark, Brian Cook and Jim Stankewicz, "Torsion Points on Elliptic Curves with Complex Multiplication," in revision, International Journal of Number Theory. VIGRE Grassmannians, Quotients, and Moduli Spaces GroupValery Alexeev and Adrian Brunyate, "Extending Torelli Map to Toroidal Compactifications of Siegel Space," arXiv:1102.3425v2. VIGRE Structure and Dynamics of Ecological Networks GroupL. Matamba, C. Kazanci, J.R. Schramski, M. Blessing, P. Alexander, and B.C. Patten, "Throughflow Analysis: A Stochastic Approach," in press and available online: (doi:10.1016/j.ecolmodel.2009.07.001) http://dx.doi.org/10.1016/j.ecolmodel.2009.07.001. VIGRE Geometric Combinatorics, Arithmetic Combinatorics and Fourier Analysis GroupMariah Hamel, Neil Lyall, Katherine Thompson, Nathan Walters, "Arithmetic Structures in Sparse Difference Sets," Journal of Number Theory, p. 1581-1589, vol. 130 (2010). Published. VIGRE Circle Packing GroupMichael Ching and John Doyle, "Apollonian Circle Packings of the Half-Plane.” Submitted. Other PublicationsK. Chipeniuk, M. Hamel, "On Sums of Sets of Primes with Positive Relative Density," to appear in the Journal of the London Mathematical Society. X. W. C. Faber, "On the Finite Field Kakeya Problem in Two Dimensions," Journal of Number Theory, p. 248-257, vol. 124 (2007). Published. Other Specific Products Resulting from VIGRE Grant Funded ResearchProduct Type: Software (or netware) Product Type: Software (or netware) Product Type: Software (or netware) Product Type: Software (or netware)
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