- N. Addington,
*On two rationality conjectures for cubic fourfolds*(May 19, 2014) [arXiv:1405.4902] - N. Addington, M. Lehn,
*On the symplectic eightfold associated to a Pfaffian cubic fourfold*(April 22, 2014) [arXiv:1404.5657] - N. Addington, W. Donovan, E. Segal,
*The Pfaffian-Grassmannian equivalence revisited*(January 15, 2014) [arXiv:1401.3661] - N. Addington, R. P. Thomas,
*Hodge theory and derived categories of cubic fourfolds*, Duke Math. J., vol. 163 no. 10 (2014), pp. 1885-1927 [arXiv:1211.3758] - N. Addington, E. Segal, E. Sharpe,
*D-brane probes, branched double covers, and noncommutative resolutions*, Adv. Theor. Math. Phys., vol. 18 no. 6 (2014) [arXiv:1211.2446] - N. Addington,
*The Brauer group is not a derived invariant*(June 27, 2013) [arXiv:1306.6538] - N. Addington, P. Aspinwall,
*Categories of massless D-branes and del Pezzo surfaces*, J. High Energy Phys., vol. 2013 no. 7 (2013), pp. front matter + 39pp. [arXiv:1305.5767]

- Aristotelous, A. C. and Durrett, R.,
*Fingering in Stochastic Growth Models.*, Experimental Mathematics (July, 2014) - Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise,
*Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source*, IMA Journal of Numerical Analysis (March, 2014) - A. C. Aristotelous, M. A. Haider,
*Evaluation of Diffusive Transport and Cellular Uptake of Nutrients in Tissue Engineered Constructs using a Hybrid Discrete Model*, Processes (March, 2014) - Andreas C. Aristotelous and Richard Durrett,
*Chemical Evolutionary Games*, Theoretical Population Biology (February, 2014) - Andreas C. Aristotelous and Mansoor A. Haider,
*Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues.*, Int. J. Numer. Meth. Biomed. Engng. (February, 2014) - Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise,
*A Mixed Discontinuous Galerkin, Convex Splitting Scheme for a Modified Cahn-Hilliard Equation and an Efficient Nonlinear Multigrid Solver.*, DCDS-B, vol. 18 no. 9 (November, 2013), pp. 2211–2238

- N. Addington and P.S. Aspinwall,
*Categories of Massless D-Branes and del Pezzo Surfaces*, JHEP, vol. 2013 no. 176 (2013) - P.S. Aspinwall,
*Some Applications of Commutative Algebra to String Theory*, in Commutative Algebra, Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (2013) [abs]

- Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, Sarah Schott,
*(Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus*(Accepted) [abs]

- S. Tlupova and J. T. Beale,
*Nearly singular integrals in 3D Stokes flow*, Commun. Comput. Phys., vol. 14 (2013), pp. 1207-27 [pdf] - W. Ying and J. T. Beale,
*A fast accurate boundary integral method for potentials on closely packed cells*, Commun. Comput. Phys., vol. 14 (2013), pp. 1073-93 [pdf]

- Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel,
*Homology and Robustness of Level and Interlevel Sets*, edited by Gunnar Carlsson, Homology, Homotopy, and Applications, vol. 15 no. 1 (March, 2013), pp. 51-72 [abs] - Liz Munch, Paul Bendich, Kate Turner, Sayan Mukherjee, Jonathan Mattingly, and John Harer,
*Probabalistic Frechet Means and Statistics on Vineyards*(2013) [6530] [abs] [author's comments]

- J. B. Greer and A. L. Bertozzi,
*H-1 solutions of a class of fourth order nonlinear equations for image processing*, Discrete And Continuous Dynamical Systems, vol. 10 no. 1-2 (2004), pp. 349 -- 366

- Lewis Blake and Michael Reed,
*Laboratory Calculus (2013-2014)*(August, 2013)

- O. Bobrowski and S. Mukherjee,
*The Topology of Probability Distributions on Manifolds*, arXiv: 1307.1123 (2013) - R. J. Adler, O. Bobrowski and S. Weinberger,
*Crackle: The Persistent Homology of Noise*, arXiv:1301.1466 (2013)

- Emily Lardner and Jack Bookman,
*Lessons Learned in Interdisciplinary Professional Development Designed to Promote the Teaching of Quantitative Literacy*, Journal of Faculty Development, vol. 27 no. 2 (May, 2013) - Narayan, Aditee Pradhan; Whicker, Shari A; Staples, Betty; Bookman, Jack; Bartlett, Kathleen; McGann, Kathleen A,
*The Clinical Skills Fair - An Innovative Curriculum Evaluation Tool*, Journal of Graduate Medical Education (April 19, 2013) - Rann Bar-On, Jack Bookman, Benjamin Cooke, Donna Hall, and Sarah Schott,
*(Re)discovering SoTL Through a Fundamental Challenge: Helping Students Transition to College Calculus*, MAA Notes (2013)

- H.L. Bray and J. L. Jauregui,
*Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass*, Communications in Mathematical Physics (April, 2014) [arXiv:1310.8638 [math.DG]], [8638] - H.L. Bray, J. L. Jauregui, M. Mars,
*Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II*(February, 2014) [arXiv:1402.3287 [math.DG]], [3287] [abs] - H.L. Bray and J. L. Jauregui,
*On Curves with Nonnegative Torsion*(December, 2013) [arXiv:1312.5171 [math.DG]], [5171] - H.L. Bray and J.L. Jauregui,
*A Geometric Theory of Zero Area Singularities in General Relativity*, Asian Journal of Mathematics, vol. 17 no. 3 (September, 2013), pp. 525-560 [arXiv:0909.0522v1] - H.L. Bray and A. R. Parry,
*Modeling Wave Dark Matter in Dwarf Elliptical Galaxies*(January, 2013) [html] - H.L. Bray,
*On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity*, AMS Contemporary Mathematics Volume, "Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations", vol. 599 (2013), American Mathematical Society [html]

- R.L. Bryant,
*Notes on Exterior Differential Systems*(May, 2014) [arXiv:1405.3116] [abs] [author's comments] - R.L. Bryant,
*S.-s. Chern's study of almost-complex structures on the six-sphere*(May, 2014) [arXiv:1405.3405] [abs]

- J. Cahill, P.G. Casazza, M. Ehler, S. Li,
*Tight and random nonorthogonal fusion frames*(2013) [0532] [abs] - J. Cahill, D.G. Mixon, N. Strawn,
*Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames*(2013) [4748] [abs]

- C.R. Cornwell,
*Knot contact homology and representations of knot groups*(2013) [arXiv:1303.4943] [abs] - C.R. Cornwell,
*KCH representations, augmentations, and*(2013) [arXiv:1310.7526] [abs]*A*-polynomials

- B. Cornelis, T.Ruzic, E.Gezels, A.Dooms, A.Pizurica, L.Platisa, J.Cornelis, M. Martens, M.DeMey, I.Daubechies,
*Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece*, Signal Processing, vol. 93 (2013), pp. 605-619, Elsevier [S0165168412002526] [abs]

- G. Di Cerbo, L.F. Di Cerbo,
*A sharp cusp count for complex hyperbolic surfaces and related results*, Arch. Math. (Basel) (July, 2014) [arXiv:1312.5368] - L.F. Di Cerbo,
*Generic Properties of Homogeneous Ricci Solitons*, Adv. Geom., vol. 14 no. 2 (2014), pp. 225-237 [arXiv:0711.0465] - L.F. Di Cerbo,
*Classification of Toroidal Compactifications with 3\bar{c}_{2}=\bar{c}^{2}_{1} and \bar{c}_{2}=1*(September, 2013) [arXiv:1309.5516] - G. Di Cerbo, L.F. Di Cerbo,
*Positivity questions in K\"ahler-Einstein theory*(February, 2013) [arXiv:1210.0218] - G. Di Cerbo, L.F. Di Cerbo,
*Effective results for complex hyperbolic manifolds*(February, 2013) [arXiv:1212.0501v5] - L.F. Di Cerbo,
*Seiberg-Witten equations on surfaces of logarithmic general type*, Internat. J. Math., vol. 24 no. 9 (2013), pp. 23 [arXiv:1112.0694]

- C. Varghese and R. Durrett,
*Phase transition in the quadratic contact process on complex networks*, Physical Review E, vol. 87 (2013), pp. paper 062819 - Feng Shi, Peter Mucha, and R. Durrett,
*Multi-opinion coevolving voter model with infinitely many phase transitions*, Physical Review E (2013) - S. Magura, V. Pong, D. Sivakoff, and R. Durrett,
*Two evolving social network models*(2013) - R. Durrett, T. Liggett, Y. Zhang,
*The contact process with fast voting*, Electronic Journal of Probability (2013) - Andreas Aristotelos and R. Durrett,
*Chemical evolutionary games*, Theoretical Population Biology (2013) - R. Durrett and S. Chatterjee,
*A first order phase transition in the threshold theta contact process on random r-regular graphs and trees*, Stoch. Proc. Appl., vol. 123 (2013), pp. 561-578 - K. Danesh, R. Durrett, L. Havrilesky, and E. Myers,
*A branching process model of ovarian cancer*, J. Theor. Biol., vol. 314 (2013), pp. 10-15 - J.T. Cox, R. Durrett, E. Perkins,
*Voter model perturbations and reaction diffusion equations*, Asterique, vol. 349 (2013), pp. 1-113 [math.PR/1103.1676] - R. Durrett and S. Moseley,
*Spatial Moran Models. I. Tunneling in the Neutral Case*, Annals Applied Probability (2013)

- BC Fry, TK Roy, TW Secomb,
*Capillary recruitment in a theoretical model for blood flow regulation in heterogeneous microvessel networks*, Physiological Reports, vol. 1 no. 3 (2013), pp. e00050

- G. Bal, J. Bergbauer, E. W. Chambers, E. Gasparovic, R. Hu, K. Leonard, M. Shaker, C. Wenk,
*Skeleton-based recognition of shapes in images via longest path matching*(2014) - James Damon, Ellen Gasparovic,
*Modeling Multi-Object Configurations Via Medial/Skeletal Linking Structures*(2014) - James Damon, Ellen Gasparovic,
*Medial/Skeletal Linking Structures for Multi-Region Configurations*(2013) [arXiv:1402.5517]

- J.R. Getz and H. Hahn,
*Algebraic cycles and Tate classes on Hilbert modular varieties*, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176 [abs] - J.R. Getz and H. Hahn,
*A general simple relative trace formula and a relative Weyl law*(2014) - J.R. Getz and P. E. Herman,
*A nonabelian trace formula*(2013) [abs] - J.R. Getz and E. Wambach,
*Twisted relative trace formulae with a view towards unitary groups*, Amer. J. Math., vol. 135 (2013), pp. 1-57 [pdf] [abs] - J.R. Getz and J. Klassen,
*Isolating Rankin-Selberg lifts*, Proc. Amer. Math. Soc. (2013)

- J. R. Getz and H. Hahn,
*Algebraic cycles and Tate classes on Hilbert modular varieties*, Int. J. Number Theory, vol. 10 no. 1 (2014), pp. 161-176 - J. R. Getz and H. Hahn,
*A general simple relative trace formula and a relative Weyl law*(2014) - S. Akhtari, C. David, H. Hahn and L. Thompson,
*Distribution of square-free values of sequences associated with elliptic curves*, Women in Numbers 2, Contemp. Math., vol. 606 (2013), pp. 171-188, Amer. Math. Soc., Providence, RI

- Richard Hain,
, Journal of Topology (June, 2014), ISSN 1753-8416 [arXiv:1305.2052]*Genus 3 Mapping Class Groups are not Kähler* - Richard Hain,
(March, 2014) [arXiv:1403.6443]*The Hodge-de Rham theory of modular groups* - Alexandru Dimca, Richard Hain, Stefan Papadima,
*The abelianization of the Johnson kernel*, Journal of the European Mathematical Society, vol. 16 no. 4 (2014), pp. 805-822 [arXiv:1101.1392], [show_abstract.php] - Richard Hain,
(September, 2013) [arXiv:1309.0580]*Notes on the Universal Elliptic KZB Equation* - Richard Hain,
, in*Normal Functions and the Geometry of Moduli Spaces of Curves**Handbook of Moduli*, edited by Gavril Farkas, Ian Morrison, vol. I (March, 2013), pp. 527-578, International Press [arXiv:1102.4031] - Benson Farb, Richard Hain, Eduard Looijenga,
*Moduli Spaces of Riemann Surfaces*, IAS/Park City Mathematics Series (2013), American Mathematical Society, ISBN ISBN-13: 978-0-8218-9887-1 [AMS] - Richard Hain,
*Remarks on non-abelian cohomology of proalgebraic groups*, J. Algebraic Geom., vol. 22 (2013), pp. 581-598 [arXiv:1009.3662]

- Katharine Turner, Yuriy Mileyko, Sayan Mukherjee, John Harer,
*Fréchet Means for Distributions of Persistence diagrams*, arXiv:1206.2790 (2013) (http://arxiv.org/abs/1206.2790.) [abs] - Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer,
*Probabilistic Fréchet Means and Statistics on Vineyards*(2013) (http://arxiv.org/abs/1307.6530.) [abs] - Jose Perea and J. Harer,
*Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis*, arXiv:1307.6188 (2013) (http://arxiv.org/abs/1307.6188.) [abs] - Christopher N Topp, Anjali S Iyer-Pascuzzi, Jill T Anderson, Cheng-Ruei Lee, Paul R Zurek, Olga Symonova, Ying Zheng, Alexander Bucksch, Yuriy Milyeko, Taras Galkovskyi, Brad Moore, John Harer, Herbert Edelsbrunner, Thomas Mitchell Olds, Joshua S Weitz, Philip N Benfey,
*3-dimensional phenotyping of growing root systems combined with QTL mapping identifies core regions of the rice genome controlling root architecture*, PNAS (2013) (http://www.pnas.org/content/early/2013/04/10/1304354110.abstract.) [abs] - Anastasia Deckard, Ron C. Anafi, John B. Hogenesch, Steven B. Haase, John Harer,
*Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data*, PLOS Computational Biology (2013) [abs] - J. Perea, A. Deckard, S. Haase and J. Harer,
*Applications of SWiPerS to the discovery of periodic genes*(2013) - Sara Bristow, Laura A. Simmons Kovacs, Anastasia Deckard, John Harer, Steven B. Haase,
*Checkpoint Pathways Couple the CDK-Independent Transcriptional Oscillations to Cell Cycle Progression*(2013) [abs]

- G. Herschlag, G.J.M. Garcia, B. Button, R. Tarran, B. Lindley, B. Reinhardt, T.C. Elston, M.G. Forest,
*A mechanochemical model for auto-regulation of lung airway surface layer volume*, Journal of Theoretical Biology, vol. 325 (May 21, 2013), pp. 42-51 [S0022519313000489] [abs]

- D.P. Herzog and J.C. Mattingly,
*Noise-Induced Stabilization of Planar Flows I*(April, 2014) [pdf] - D.P. Herzog and J.C. Mattingly,
*Noise-Induced Stabilization of Planar Flows II*(April, 2014) [pdf] - D.P. Herzog and Nathan Totz,
*An extension of H\"{o}rmander's hypoellipticity theorem*(February, 2014) [pdf] [abs] - D.P. Herzog, Marc Ryser, David Sivakoff, Kevin McGoff, Evan Myers,
*Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies*(February, 2014)

- D. Lawlor, Y. Wang, and A. Christlieb,
*A Multiscale Sub-linear Time Fourier Algorithm for Noisy Data*(Spring, 2013) [arXiv:1304.4517] [abs] - D. Lawlor, Y. Wang, and A. Christlieb,
*Adaptive sub-linear Fourier algorithms*, Advances in Adaptive Data Analysis, vol. 5 no. 1 (January, 2013), World Scientific, ISSN 1793-5369 [arXiv:1207.6368] [abs]

- Aurelie Edwards and Anita T. Layton,
*Calcium dynamics underlying the myogenic response of the renal afferent arteriole*, Am J Physiol Renal Physiol, vol. 306 no. F34-F48 (2014) - Ioannis Sgouralis and Anita T. Layton,
*Theoretical assessment of renal autoregulatory mechanisms*, Am J Physiol Renal Physiol, vol. 306 (2014), pp. F1357-F1371 - Yi Li, Ioannis Sgouralis, and Anita T. Layton,
*Computing viscous flow in an elastic tube*, Numer. Math. Theor. Meth. Appl., in press (2014) - Robert Moss and Anita T. Layton,
*Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model*, Am J Physiol Renal Physiol, in press (2014) - Thomas L. Pannabecker and Anita T. Layton,
*Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture*, Am J Physiol Renal Physiol, in press (2014) - Julia Arcerio, Laura Ellwein, Ashley N. Ford Versypt, Elizabeth Markride, and Anita T. Layton,
*Modeling blood flow in the kidney*, IMA volume, submitted (2014) - Ioannis Sgouralis, Roger Evans, Bruce S. Gardiner, Julian A Smith, Brendan C. Fry, and Anita T. Layton,
*Renal hemodynamics, function and oxygenation during cardiac Surgery performed on cardiopulmonary bypass: A modeling study*, Am J Physiol Renal Physiol, submitted (2014) - Gregory J. Herschlag, Jian-Guo Liu, and Anita T. Layton,
*An exact solution for Stokes flow in an innite channel with permeable walls*, J Fluid Mech, submitted (2014) - Brendan C. Fry and Anita T. Layton,
*Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels*, Math Biosci, submitted (2014) - Aurelie Edwards, Hayo Castrop, Kamel Laghmani, Volker Vallon, and Anita T. Layton,
*Regulation of NKCC2 isoform expression and NaCl transport in the thick ascending limb and macula densa cells*, Am J Physiol Renal Physiol, in press (2014) - Anita T. Layton and Sarah D. Olson (editors),
*Biological Fluid Dynamics: Modeling, Computation, and Applications*, AMS Contemporary Mathematics (2014) - Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton,
*Impact of renal medullary three-dimensional architecture on oxygen transport*, Am J Physiol Renal Physiol, in press (2014) - Anta T. Layton,
*Mathematical modeling of urea transport in the kidney*, in Urea Transporters, in press, edited by Baoxue Yang (2013), Springer - Karin Leiderman, Elizabeth L. Bouzarth, Ricardo Cortez, and Anita T. Layton,
*A regularization method for the numerical solution of periodic Stokes flow*, J Comput Phys, vol. 236 no. 187-202 (2013) - Aniel Nieves-Gonzalez, Chris Clausen, Anita .T. Layton, Harold E. Layton, and Leon C. Moore,
*Transport efficiency and workload distribution in a mathematical model of the thick ascending limb*, Am J Physiol Renal Physiol, vol. 304 no. F653-F664 (2013) - Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita .T. Layton, Harold E. Layton, and Leon C. Moore,
*Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell*, Am J Physiol Renal Physiol, vol. 304 no. F634-F652 (2013) - Anita T. Layton and Lise Bankir,
*Impacts of active urea secretion into pars recta on urine concentrating mechanism*, Physiol Report, vol. 1 no. 3 (2013), pp. e00034 - Hwayeon Ryu and Anita T. Layton,
*Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb*, Med Math Biol, vol. 30 no. 191-212 (2013) - William H. Dantzler, Anita T. Layton, Harold E. Layton, and Thomas L. Pannabecker,
*Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops*, Clin J Am Soc Nephrol (2013), pp. doi:10.2215/CJN.08750812 - Yi Li, Sarah A. Williams, and Anita T. Layton,
*A hybrid immersed interface method for driven stokes flow in an elastic tube*, Numer. Math. Theor. Meth. Appl., vol. 6 no. 4 (2013), pp. 600-616 - Ioannis Sgouralis and Anita T. Layton,
*Control and modulation of fluid flow in the rat kidney*, Bull Math Biol, vol. 75 (2013), pp. 2551-2574 - Sarah D. Olson and Anita T. Layton,
*Simulating Fluid-Structure Interactions --- A Review*, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013) - Anita T. Layton and Aurelie Edwards,
*Mathematical Modeling of Renal Physiology*, Lecture Notes on Mathematical Modelling in the Life Sciences, edited by Angela Stevens and Michael C. Mackey (2013), Springer - Anita T. Layton,
*Impacts of facilitated urea transporters on the urine concentrating mechanism in the rat kidney*, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013) - Hwayeon Ryu and Anita T. Layton,
*Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle*, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, in press (2013) - Anita T. Layton,
*Mathematical modeling of kidney transport*, WIRESs Syst Biol Med, vol. 5 (2013), pp. 557-573 - Hwayeon Ryu and Anita T. Layton,
*Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney*, J Math Biol, vol. 68 no. 1023–1049

- W. Liao and A. Fannjiang,
*MUSIC for single-snapshot spectral estimation: stability and super-resolution*(2014) - A. Fannjiang and W. Liao,
*Fourier phasing with phase-uncertain mask*, Inverse problems, vol. 29 no. 12 (2013)

- M. Lipnowski,
*Equivariant Torsion and Base Change*(2013) [2540] - M. Lipnowski,
*The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces*(2013) [2543]

- S. Bian, J.-G. Liu, and C. Zou,
*Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d*, Kinetic and Related Models, vol. 7 (2014), pp. 9-28 - Y. Duan and J.-G. Liu,
*Convergence analysis of the vortex blob method for the b-equation*, Discrete Contin. Dyn. Syst. Ser. A, vol. 34 (2014), pp. 1995-2011 - H. Johnston, C. Wang and J.-G. Liu,
*A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations*, J. Sci. Comput. (2013) - X. Chen and J.-G. Liu,
*Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions*, J Diff Eqs, vol. 254 (2013), pp. 2764-2802 - T. Goudon, S. Jin, J.-G. Liu and B. Yan,
*Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows*, J. Comput. Phy., vol. 246 (2013), pp. 145-164 - X. Chen and J.-G. Liu,
*Analysis of polymeric flow models and related compactness theorems in weighted spaces*, SIAM J Math Anal, vol. 45 (2013), pp. 1179-1215 - P. Degond, A. Frouvelle, J.-G. Liu, S Motsch, L Navoret,
*Macroscopic models of collective motion and self-organization*, Seminaire Laurent Schwartz -- EDP et applicatios, vol. 2012 - 2013 (2013), pp. 1-27 - Y.L. Huang, J.-G. Liu and W.-C. Wang,
*A generalized MAC scheme on curvilinear domains*, SIAM J. Sci. Comput., vol. 35 (2013), pp. B953-B986 - P. Degond, J.-G, Liu, S. Motsch, V. Panferov,
*Hydrodynamic models of self-organized dynamics: derivation and existence theory*, Methods Anal. Appl., vol. 20 (2013), pp. 89-114 - S. Bian and J.-G. Liu,
*Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0*, Comm Math Phy, vol. 323 (2013), pp. 1017-1070 - D. Chae, P. Degond, J.-G. Liu,
*Well-posedness for Hall-magnetohydrodynamics*, Ann. I. H. Poincare, AN (2013) - P. Degond, A. Frouvelle, J.-G. Liu,
*A note on phase transitions for the Smoluchowski equation with dipolar potential*, in Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application (2013) - X. Chen, X. Liu and J.-G. Liu,
*Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles*, Commun. Math. Sci. (2013) - P. Degond, J.-G. Liu and C. Ringhofer,
*Large-scale dynamics of Mean-Field Games driven by local Nash equilibria*, J Nonlinear Sci. (2013) - P. Degond, J.-G. Liu and C. Ringhofer,
*Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria*, J. Stat. Phys. (2013) - X. Chen, A. Jungel, J.-G. Liu,
*A note on Aubin-Lions-Dubinskii lemmas*, Acta Applicanda Mathematicae (2013) - P. Degond, A. Frouvell, J.-G. Liu,
*Macroscopic limits and phase transition in a system of self-propelled particles*, J Nonlinear Sci., vol. 23 (2013), pp. 427-456 - S. Jin, J.-G. Liu and L. Wang,
*A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations*, Math. Comp., vol. 82 (2013), pp. 749-779

- with Lin Lin and Sihong Shao,
*Analysis of the time reversible Born-Oppenheimer molecular dynamics*, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 (2014), pp. 110-137 (Special issue on Molecular Dynamics Simulation.) [doi] - with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein,
*A variational perspective on cloaking by anomalous localized resonance*, Comm. Math. Phys., vol. 328 no. 1 (2014), pp. 1-27 [doi] - with Felix Otto,
*Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model*, Comm. Pure Appl. Math. (2014) - with James Nolen,
*Reactive trajectories and the transition path processes*, Probab. Theory Related Fields (2014) - with Qin Li, Weiran Sun,
*A convergent method for linear half-space kinetic equation*(2014) - with Bin Hu,
*Dynamic production capacity management with price skimming*(2014) - with Rongjie Lai, Stanley Osher,
*Density matrix minimization with $\ell_1$ regularization*(2014) [arXiv:1403.1525] - with Haizhao Yang, Lexing Ying,
*Crystal image analysis using 2D synchrosqueezing transforms*(2014) [arXiv:1402.1262] - with Weinan E,
*Mathematical theory of solids: from quantum mechanics to continuum models*, Discret. Contin. Dyn. Sys., vol. 34 (2014), pp. 5085-5097 [doi] - with Eric Vanden-Eijnden,
*Exact dynamical coarse-graining without time-scale separation*, J. Chem. Phys. (2014) [arXiv:1404.4225] - with Jingchen Liu, Xiang Zhou,
*Efficient rare event simulation for failure problems in random media*(2014) [arXiv:1404.4729] - with Vitaly Moroz, Cyrill B. Muratov,
*Orbital-free density functional theory of out-of-plane charge screening in graphene*(2014) [arXiv:1405.4949] - with Jeremy L. Marzuola,
*Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics*, Commun. Math. Sci. (2013) - with Weinan E, Yuan Yao,
*The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition*, Methods Appl. Anal., vol. 20 no. 4 (2013), pp. 383--404 (Special issue dedicated to Stan Osher's 70th birthday.) [doi] - with Sergey Fomel, Xu Yang,
*Seismic modeling using the frozen Gaussian approximation*, in SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682 [arXiv:1304.3542] - with Pingbing Ming,
*Convergence of a force-based hybrid method for atomistic and continuum models in three dimension*, Comm. Pure Appl. Math., vol. 66 (2013), pp. 83-108 [doi] - with Weinan E,
*The Kohn-Sham equation for deformed crystals*, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013) [doi] - with Eric Vanden-Eijnden,
*Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials*, J. Chem. Phys., vol. 138 (2013), pp. 084105 [doi] - with Weinan E, Xu Yang,
*Asymptotic analysis of the quantum dynamics: Bloch-Wigner transform and Bloch dynamics*, Acta Math. Appl. Sin. Engl. Ser., vol. 29 (2013), pp. 465--476 [doi]

- M. Maggioni,
*Geometric Estimation of Probability Measures in High-Dimensions*, Proc. IEEE Asilomar Conference (November, 2013) - M. Iwen, M. Maggioni,
*Approximation of Points on Low-Dimensional Manifolds Via Random Linear Projections*, Inference & Information, vol. 2 (February, 2013) [doi] - A. Coppola, B. Wenner, R. Stevens, O. Ilkayeva, M. Maggioni, T. Slotkin, E. Levin, C. Newgard,
*Branched-chain amino acids alter neurobehavioral function in rats*, American Journal of Physiology - Endocrinology and Metabolism, vol. 304 no. 4 (February, 2013) [doi] - S. Gerber, M. Maggioni,
*Multiscale dictionaries, transforms, and learning in high-dimensions*, Proc. SPIE 8858, Wavelets and Sparsity XV (2013) [doi] - Kalyani Krishnamurthy, Alex Mrozack, Mauro Maggioni, and David Brady,
*Multiscale, dictionary-based speckle denoising*, in Proc. Computational Optical Sensing and Imaging (2013), ISBN 978-1-55752-975-6 [doi] - G. Chen, A.V. Little, M. Maggioni,
*Multi-Resolution Geometric Analysis for Data in High Dimensions*, in Excursions in Harmonic Analysis, vol. 1 (2013), Birkhaüser Boston, ISBN 978-0-8176-8375-7 [doi] - E Causevic and R~R Coifman and R Isenhart and A Jacquin and E~R John and M Maggioni and L~S Prichep and F~J Warner,
*QEEG-based classification with wavelet packets and microstate features for triage applications in the ER*(2005) - S. Ferrari and M. Maggioni and N. A. Borghese,
*Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks,*, IEEE Trans. on Neural Networks, vol. 15 no. 1 (2004), pp. 178--188 - GL Davis and Mauro Maggioni and FJ Warner and FB Geshwind and AC Coppi and RA DeVerse and RR Coifman,
*Hyper-spectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system*(2004) (Poster, Optical Imaging NIH workshop, to app. in proc..) - Ronald R Coifman and Mauro Maggioni,
*Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms*no. YALE/DCS/TR-1289 (2004)

- with David P. Herzog,
*Noise-Induced Stabilization of Planar Flows II*(April, 2014) [arXiv:1404.0955] - with David P. Herzog,
*Noise-Induced Stabilization of Planar Flows I*(April, 2014) [arXiv:1404.0957] - with
*Regularity of invariant densities for 1D-systems with random switching*(2014) [arXiv:1406.5425] [abs] - with Sean D. Lawley and Michael C. Reed,
*Stochastic switching in infinite dimensions with applications to random parabolic PDEs*(2014) [arXiv:1407.2264] [abs] - Jonathan C. Mattingly and Etienne Pardoux,
*Invariant measure selection by noise: An Example*, Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10 (2014), pp. 4223--4257 [arXiv:1403.3593] [abs] - with Sean D. Lawley and Michael C. Reed,
*Sensitivity to switching rates in stochastically switched ODEs*(2014) [arXiv:1310.2525] [abs] - Thomas Hotz, Sean Skwerer, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, Ezra Miller, James Nolen, Megan Owen, Vic Patrangenaru,
*Sticky central limit theorems on open books*, Ann. Appl. Probab., vol. 23 no. 6 (2013), pp. 2238--2258 [arXiv:1202.4267] [abs] - Elizabeth Munch, Paul Bendich, Katharine Turner, Sayan Mukherjee, Jonathan Mattingly, John Harer,
*Probabilistic Fréchet Means and Statistics on Vineyards*(2013) [arXiv:1307.6530] [abs]

- Sean Skwerer, Elizabeth Bullitt, Stephan Huckemann, Ezra Miller, Ipek Oguz, Megan Owen, Vic Patrangenaru, Scott Provan, and J.S. Marron,
*Tree-oriented analysis of brain artery structure*, Journal of Mathematical Imaging and Vision (2013) (25 pages.) [abs] *Affine stratifications from finite misère quotients*, Journal of Algebraic Combinatorics, vol. 37 (2013), pp. 1-9 [math.CO/1009.2199], [DOI:10.1007/s10801-012-0355-3] [abs]- with Alan Guo,
*Algorithms for lattice games*, International Journal of Game Theory, vol. 42 no. 4 (2013), pp. 777-788 [math.CO/1105.5413], [DOI:10.1007/s00182-012-0319-9] [abs] - with Thomas Hotz, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, James Nolen, Megan Owen, Vic Patrangenaru, and Sean Skwerer,
*Sticky central limit theorems on open books*, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [math.PR/1202.4267], [DOI:10.1214/12-AAP899] [abs] - with Manoj Gopalkrishnan and Anne Shiu,
*A projection argument for differential inclusions, with applications to persistence of mass-action kinetics*, SIGMA (Symmetry, Integrability, and Geometry: Methods and Applications), vol. 9 (2013) (paper 025, 25 pages.) [math.DS/1208.0874], [DOI:10.3842/SIGMA.2013.025] [abs] - with Manoj Gopalkrishnan and Anne Shiu,
*A geometric approach to the Global Attractor Conjecture*, SIADS (SIAM Journal on Applied Dynamical Systems) (2013) (49 pages.) [math.DS/1305.5303] [abs]

- S. Minsker,
*Estimation of Extreme Values and Associated Level Sets of a Regression Function via Selective Sampling*, In Proceedings of the Conference on Learning Theory (COLT 2013) (2013), pp. 105-121 [html] [abs] - V. Koltchinskii, S. Minsker,
*L1-Penalization in Functional Linear Regression with Subgaussian Design*, Submitted (2013) [8137] [abs] - S. Minsker,
*Geometric Median and Robust Estimation in Banach Spaces*(2013) [1334] [abs]

- R. Moss and S. R. Thomas,
*Hormonal regulation of salt and water excretion: a mathematical model of whole-kidney function and pressure-natriuresis*, AJP Renal Physiol (2013) [2013], [doi] [abs] [author's comments]

- L. Ng,
*A topological introduction to knot contact homology*, in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz (2014), ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi] - T. Ekholm and L. Ng,
*Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold*(2013) [arXiv:1307.8436] - L. Ng and D. Rutherford,
*Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra*, Algebraic & Geometric Topology, vol. 13 no. 5 (2013), pp. 3047–3097 [arXiv:1206.2259], [doi] - W. Chongchitmate and L. Ng,
*An atlas of Legendrian knots*, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [arXiv:1010.3997], [doi] - J. Etnyre, L. Ng, and V. Vertesi,
*Legendrian and transverse twist knots*, Journal of the European Mathematical Society, vol. 15 no. 3 (2013), pp. 451-512 [arXiv:1002.2400], [doi] - T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan,
*Filtrations on the knot contact homology of transverse knots*, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1691 [arXiv:1010.0450], [doi] - T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan,
*Knot contact homology*, Geometry & Topology, vol. 17 (2013), pp. 975-1112 [arXiv:1109.1542], [doi] - M. Aganagic, T. Ekholm, L. Ng, and C. Vafa,
*Topological strings, D-model, and knot contact homology*(2013) [arXiv:1304.5778] - R. Lipshitz, L. Ng, and S. Sarkar,
*On transverse invariants from Khovanov homology*, Quantum Topology (2013/03/26) [arXiv:1303.6371]

- J. Lu and J. Nolen,
*Reactive trajectories and the transition path process.*, Probability Theory and Related Fields (January, 2014) [1744], [doi] - J. Nolen,
*Normal approximation for a random elliptic equation*, Probability Theory and Related Fields, vol. 159 no. 3 (2014), pp. 661-700 [pdf], [doi] - J. Nolen,
*Normal approximation for the net flux through a random conductor*(2014) [2186] - F. Hamel, J. Nolen, J.-M. Roquejoffre, L. Ryzhik,
*A short proof of the logarithmic Bramson correction in Fisher-KPP equations*, Networks and Heterogeneous Media, vol. 8 no. 1 (2013), pp. 275-289 [pdf], [doi] - T. Hotz, S. Huckemann, H. Le, J. Marron, J. Mattingly, E. Miller, J. Nolen, M. Owen, V. Patrangenaru, S. Skwere,
*Sticky central limit theorem on open books*, Annals of Applied Probability, vol. 23 no. 6 (2013), pp. 2238-2258 [4267], [doi] - J. Nolen, J.-M. Roqujoffre, L. Ryzhik,
*Power-like delay in time inhomogeneous Fisher-KPP equations*(2013) [pdf] - S. Bhamidi, J. Hannig, C. Lee, J. Nolen,
*The importance sampling technique for understanding rare events in Erdős-Rényi random graphs*(2013) [6551]

- M. Patel, B. Joshi,
*Decoding synchronized oscillations within the brain: Phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter*, Journal of Theoretical Biology, vol. 334C (2013), pp. 13-25 [23747525] [abs] - M. Patel, B. Joshi,
*Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons*, Journal of Computational Neuroscience [ePub ahead of print] (2013) [23820857] [abs] - M. Patel,
*Stimulus encoding within the barn owl optic tectum using gamma oscillations vs. spike rate: A modeling approach.*, Network, vol. 24 no. 2 (2013), pp. 52-74 [23406211] [abs] - B. Joshi, M. Patel,
*Encoding with synchrony: Phase-delayed inhibition allows for reliable and specific stimulus detection.*, Journal of Theoretical Biology, vol. 328 (2013), pp. 26-32 [23524360] [abs] - M. Patel, AV Rangan, D Cai,
*Coding of odors by temporal binding within a model network of the locust antennal lobe.*, Frontiers in Computational Neuroscience, vol. 7 (2013), pp. 50-67 [23630495] [abs]

- Jose A. Perea, Anastasia Deckard, Steve B. Haase and John Harer,
*SW1PerS: Sliding Windows and 1-Persistence Scoring; Discovering Periodicity in Gene Expression Time Series Data*(June, 2014) - Jose A. Perea and John Harer,
*Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis*, Foundations of Computational Mathematics (May, 2014), ISSN 1615-3375 (Journal Info: rank 7 of 296 in subject category Mathematics, 2012 Impact Factor 1.918; Journal Citation Reports, Thomson Reuters.) [arXiv:1307.6188], [doi] - Jose A. Perea and Gunnar Carlsson,
*A Klein-Bottle-Based Dictionary for Texture Representation*, International Journal of Computer Vision, vol. 107 no. 1 (March, 2014), pp. 75-97, ISSN 0920-5691 (Journal Info: rank 9 of 115 in subject category Computer Science/Artificial Intelligence, 2012 Impact factor 3.623; Journal Citation Reports, Thomson Reuters.) [doi]

- A. O. Petters and M. C. Werner,
*Gravitational Lensing and Black Holes*(July, 2015), Springer, in preparation - A. O. Petters and X. Dong,
*Mathematical Finance with Applications: Understanding and Buiding Financial Intuition*, SUMAT (July, 2014), Springer, in preparation

- L. Rios-Avila, H. F. Nijhout, M. C. Reed, H. S. Sitren, J. F. Gregory III,
*A mathematical model of tryptophan metabolism via the kynurenine pathway provides insights into the effects of vitamin B-6 deficiency, tryptophan loading and induction of tryptophan 2,3-dioxygenase on tryptophan metabolites*, J. Nutrition, vol. 143 (2013), pp. 1509-1519 - M. Reed, H. F. Nijhout, J. Best,
*Computational studies of the role of serotonin in the basal ganglia*, Frontiers in Integrative Neuroscience, vol. 7 (2013), pp. 1-8 - T. Duncan, M. Reed, H. F. Nijhout,
*A population model of folate-mediated one-carbon metabolism*, Nutrients, vol. 5 (2013), pp. 2457-2474 - M. Reed, H. F. Nijhout, J. Best,
*Projecting biochemistry over long distances*, Math. Models Natural Phenomena (2013) - S. Lawley, J. Mattingly, M. Reed,
*Sensitivity to switching rates on stochastically switched ODEs*(2013) - T. Duncan, M. Reed, H. F. Nijhout,
*The relationship between intracellular and plasma levels of folate and metabolites in the methionine cycle: A model*, Mol. Food Nutr. Res., vol. DOI 10.1002/mnfr.201200125 (2013), pp. 628-636 - R. Ben-Shachar, Y, Chen, S. Luo, C. Hartman, M. Reed, H. F. Nijhout,
*The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model*, Theoretical Biology and Medical Modeling, vol. 9 (2013), pp. 1-22 - M. Patel, M. Reed,
*Stimulus Encoding Within the Barn Owl Optic Tectum Using Gamma Oscillations versus Spike Rate: A Modeling Approach.*, Network, vol. 24 (2013), pp. 52-74

- S. Payne, B. Li, Y. Cao, D. Schaeffer, M.D. Ryser, L. You,
*Temporal control of self-organized pattern formation without morphogen gradients in bacteria*, Molecular Systems Biology, vol. 9 no. 697 (2013) - J. Foo, K. Leder, M.D. Ryser,
*Multifocality and recurrence risk: a quantitative model of field cancerization*(2013) - M.D. Ryser, K. McGoff, D. Herzog, D. Sivakoff, E. Myers,
*Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies*(2013) - M.D. Ryser, S.V. Komarova,
*Mathematical modeling of cancer metastases*, in Computational Bioengineering , CRC/Taylor & Francis (Invited book chapter.)

- C. Schoen,
*Invariants of regular models of the product of two elliptic curves at a place of multiplicative reduction*, in Arithmetic and Geometry of K3 surfaces and Calabi-Yau Threefolds, Fields Institute Communications 67, edited by Laza, R. ; Schuett, M; and Yui, N. (2013), pp. 461-487, Springer, ISBN 978-1-4614-6402-0 - C. Schoen,
*The geometric genus of a desingularized fiber product of elliptic surfaces*, Proceedings of the American Mathematical Society, vol. 141 no. 3 (2013), pp. 745-752 - C. Schoen,
*Torsion in the Cohomology of Desingularized Fiber Products of Elliptic Surfaces*, Michigan Math. J., vol. 62 (2013), pp. 81-115

- Mark Huber, and Sarah Schott,
*Random Construction of Interpolating Sets for High Dimensional Integration*, Journal of Applied Probability (2013)

- Anda Degeratu and M.A. Stern,
*Witten spinors on nonspin manifolds*, Communications of Mathematical Physics 2013 (October, 2013) [DG/1112.0194], [0194] [abs] - B. Charbonneau and M. Stern,
*Asymptotic Hodge Theory of Vector Bundles*, Communications in Analysis and Geometry (August, 2013) [DG/1111.0591], [0591] [abs]

- J. Cahill, D. Mixon, N. Strawn,
*Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames*(2013) - A. Armagan, D. Dunson, J. Lee, W. Bajwa, N. Strawn,
*Posterior consistency in linear models under shrinkage priors*, Biometrika (2013)

- C. Cartis and A. Thompson,
*An exact tree projection algorithm for wavelets*, IEEE Signal Processing Letters, vol. 20 no. 11 (2013), pp. 1028-1031

- Trangenstein, J.A. and Bell, J.B.,
*Mathematical structure of compositional reservoir simulation*, SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5 , pp. 817 - 45 [abs]

- Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, Stephanos Venakides,
*Efficient Evaluation of Doubly Periodic Green Functions in 3D Scattering, Including Wood Anomaly Frequencies*, ArXiv>Mathematics > Analysis of PDEs (July 4, 2013) [arXiv:1307.1176] [abs] - Jackson AD, Huang D, Gauthier DJ, Venakides S.,
*Destructive impact of imperfect beam collimation in extraordinary optical transmission.*, J. Opt. Soc. Am A, vol. 30 no. 6 (June, 2013), pp. 1281-1290 (doi: 10.1364/JOSAA.30.001281..) [abs] - S. Belov and S. Venakides,
*Smooth parametric dependence of asymptotics of the semiclassical focusing NLS*, APDE (Analysis and PDE) (2013) [abs]

- Y. Wang,
*K mappings and regression trees*(October, 2013)

- T.P. Witelski, L.N. Virgin, C. George,
*A driven system of impacting pendulums: Experiments and simulations*, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi] - S.J.Chapman, P.H.Trinh and T.P. Witelski,
*Exponential asymptotics for thin film rupture*, SIAM Journal on Applied Mathematics, vol. 73 no. 1 (2013), pp. 232-253 [120872012], [doi] - L.B.Smolka and T.P. Witelski,
*Biaxial extensional motion of an inertially driven radially-expanding liquid sheet*, Physics of Fluids, vol. 25 no. 062105 (2013) [doi]