Preprint Series 

Welcome to the UC Santa Barbara Mathematics Department electronically downloadable preprint series, which features preprints authored by regular and visiting faculty, emeriti, postdocs, and graduate students.

Final published versions can best be located via MathSciNet (subscription required).

Department members can submit preprints by emailing an arXiv number or a pdf file to drm at

[ Current; 2014; 2013; 2012; 2011; 2010; 2009; 2008; 2007; 2006; 2005; 2004; 2003; 2002; 2001; 2000; 1999; pre-1999 ]


2016-06   ArXiv.Abstract F-theory and Unpaired Tensors in 6D SCFTs and LSTs
David R. Morrison and Tom Rudelius
2016-05   ArXiv.Abstract F-Theory and N=1 SCFTs in Four Dimensions
David R. Morrison and Cumrun Vafa
2016-04   ArXiv.Abstract An ergodic algorithm for generating knots with a prescribed injectivity radius
Kyle Chapman
2016-03   ArXiv.Abstract Congested aggregation via Newtonian interaction
Katy Craig, Inwon Kim, Yao Yao
2016-02   ArXiv.Abstract SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes
Hans Jockers, Sheldon Katz, David R. Morrison, M. Ronen Plesser
2016-01   ArXiv.Abstract A Decomposition of Parking Functions by Undesired Spaces
Melody Bruce, Michael Dougherty, Max Hlavacek, Ryo Kudo, Ian Nicolas


2015-28   ArXiv.Abstract A Generalization of $p$-Rings
Adil Yaqub
2015-27   ArXiv.Abstract Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions
Katy Craig
2015-26   ArXiv.Abstract Weak subdifferentials, $r_L$-density and maximal monotonicity
Stephen Simons and Xianfu Wang
2015-25   ArXiv.Abstract "Densities" and Maximal monotonicity I
Stephen Simons
2015-24   ArXiv.Abstract Existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum
Thomas C. Sideris
2015-23   ArXiv.Abstract Tensor splitting properties of n-inverse pairs of operators
Caixing Gu and Stepan Paul
2015-22   ArXiv.Abstract Deforming convex projective manifolds
Daryl Cooper, Darren Long, Stephan Tillmann
2015-21   ArXiv.Abstract On the regularity of solutions to a class of nonlinear dispersive equations
F. Linares, G. Ponce, D. L. Smith
2015-20   ArXiv.Abstract Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega
2015-19   ArXiv.Abstract On the propagation of regularity of solutions of the Kadomtsev-Petviashvilli (KPII) equation
P. Isaza, F. Linares, G. Ponce
2015-18   ArXiv.Abstract Ideal Whitehead Graphs in $Out(F_r)$: Building ideal Whitehead graphs in higher ranks and ideal Whitehead graphs with cut vertices
Catherine Pfaff
2015-17   ArXiv.Abstract Lehmer pairs revisited
Jeffrey Stopple
2015-16   ArXiv.Abstract F-theory and the Classification of Little Strings
Lakshya Bhardwaj, Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa
2015-15   ArXiv.Abstract On the global symmetries of 6D superconformal field theories
Marco Bertolini, Peter R. Merkx, David R. Morrison
2015-14   ArXiv.Abstract Convex projective structure on non-hyperbolic three-manifolds
Samuel Ballas, Jeffrey Danciger, and Gye-Seon Lee
2015-13   ArXiv.Abstract A Classification of subgroups of SL(4, R) Isomorphic to R3 and Generalized Cusps in Projective 3 Manifolds
Arielle Leitner
2015-12   ArXiv.Abstract Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)
Arielle Leitner
2015-11   ArXiv.Abstract Conjugacy Limits of the Cartan Subgroup in SL(3,R)
Arielle Leitner
2015-10   ArXiv.Abstract On Gauge Enhancement and Singular Limits in G2 Compactifications of M-theory
James Halverson and David R. Morrison
2015-09   ArXiv.Abstract Characterizations of the round two-dimensional sphere in terms of closed geodesics
Lee Kennard and Jordan Rainone
2015-08   Acrobat Thin surface subgroups in cocompact lattices in $SL(3,{\bf R})$
D.D. Long & A. W. Reid
2015-07   ArXiv.Abstract The Area of Convex Projective Surfaces
Ilesanmi Adeboye, Daryl Cooper
2015-06   ArXiv.Abstract Complexity functions on 1-dimensional cohomology
Daryl Cooper and Stephan Tillmann
2015-05   ArXiv.Abstract Geometry of 6D RG Flows
Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa
2015-04   ArXiv.Abstract Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture
David R. Morrison, M. Ronen Plesser
2015-03   Acrobat Lenstra-Hurwitz cliques and the class number one problem
D. D. Long and Morwen B. Thistlethwaite
2015-02   ArXiv.Abstract Detecting Fourier subspaces
Charles A. Akemann and Nik Weaver
2015-01   ArXiv.Abstract Atomic Classification of 6D SCFTs
Jonathan J. Heckman, David R. Morrison, Tom Rudelius and Cumrun Vafa

[ Current; 2014; 2013; 2012; 2011; 2010; 2009; 2008; 2007; 2006; 2005; 2004; 2003; 2002; 2001; 2000; 1999; pre-1999 ]

The recommended way to cite preprints in this series is with the report number "UCSB Math YYYY-NN".